@book {MR0167642,
AUTHOR = {Abramowitz, Milton and Stegun, Irene A.},
TITLE = {Handbook of mathematical functions with formulas, graphs, and
mathematical tables},
SERIES = {National Bureau of Standards Applied Mathematics Series},
VOLUME = {55},
PUBLISHER = {For sale by the Superintendent of Documents, U.S. Government
Printing Office, Washington, D.C.},
YEAR = {1964},
PAGES = {xiv+1046},
MRCLASS = {33.00 (65.05)},
MRNUMBER = {MR0167642 (29 \#4914)},
MRREVIEWER = {D. H. Lehmer},
}
@book {MR1225100,
AUTHOR = {Adachi, Masahisa},
TITLE = {Embeddings and immersions},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {124},
NOTE = {Translated from the 1984 Japanese original by Kiki Hudson},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {x+183},
ISBN = {0-8218-4612-4},
MRCLASS = {57R40 (57R42 58-02)},
MRNUMBER = {MR1225100 (95a:57039)},
MRREVIEWER = {Elmer G. Rees},
}
@article{adamaszek_topology_2010,
title = {Topology and subsets - the story of a theorem},
url = {http://arxiv.org/abs/1011.1236},
abstract = {In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) topology.},
journal = {1011.1236},
author = {Adamaszek, Michał},
month = nov,
year = {2010},
keywords = {Mathematics - General Topology, Mathematics - History and Overview},
}
@book {MR2079925,
AUTHOR = {Adams, Colin C.},
TITLE = {The knot book},
NOTE = {An elementary introduction to the mathematical theory of knots,
Revised reprint of the 1994 original},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2004},
PAGES = {xiv+307},
ISBN = {0-8218-3678-1},
MRCLASS = {57M25 (57M15 57M50 57Q45)},
MRNUMBER = {MR2079925 (2005b:57009)},
}
@book {adamfranz,
AUTHOR = {Adams, Colin C. and Franzosa, Robert},
TITLE = {Introduction to topology},
NOTE = {An elementary introduction to the mathematical theory of knots},
}
@article {MR0097059,
AUTHOR = {Adams, J. F.},
TITLE = {On the nonexistence of elements of {H}opf invariant one (Bull. AMS)},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {64},
YEAR = {1958},
PAGES = {279--282},
ISSN = {0002-9904},
MRCLASS = {55.00},
MRNUMBER = {0097059 (20 \#3539)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0139177,
AUTHOR = {Adams, J. F.},
TITLE = {On formulae of {T}hom and {W}u},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {11},
YEAR = {1961},
PAGES = {741--752},
ISSN = {0024-6115},
MRCLASS = {57.32},
MRNUMBER = {MR0139177 (25 \#2613)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0139178,
AUTHOR = {Adams, J. F.},
TITLE = {Vector fields on spheres},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {603--632},
ISSN = {0003-486X},
MRCLASS = {57.30},
MRNUMBER = {MR0139178 (25 \#2614)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0141119,
AUTHOR = {Adams, J. F.},
TITLE = {On the non-existence of elements of {H}opf invariant one},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {72},
YEAR = {1960},
PAGES = {20--104},
ISSN = {0003-486X},
MRCLASS = {55.40},
MRNUMBER = {MR0141119 (25 \#4530)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0198460,
AUTHOR = {Adams, J. F. and Atiyah, M. F.},
TITLE = {{$K$}-theory and the {H}opf invariant},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {17},
YEAR = {1966},
PAGES = {31--38},
ISSN = {0033-5606},
MRCLASS = {55.40 (57.30)},
MRNUMBER = {MR0198460 (33 \#6618)},
MRREVIEWER = {E. Dyer},
}
@book {MR0252560,
AUTHOR = {Adams, J. F.},
TITLE = {Lectures on {L}ie groups},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1969},
PAGES = {xii+182},
MRCLASS = {22.50},
MRNUMBER = {MR0252560 (40 \#5780)},
MRREVIEWER = {N. R. Wallach},
}
@book {MR0402720,
AUTHOR = {Adams, J. F.},
TITLE = {Stable homotopy and generalised homology},
NOTE = {Chicago Lectures in Mathematics},
PUBLISHER = {University of Chicago Press},
ADDRESS = {Chicago, Ill.},
YEAR = {1974},
PAGES = {x+373},
MRCLASS = {55B20 (55E10)},
MRNUMBER = {MR0402720 (53 \#6534)},
MRREVIEWER = {P. S. Landweber},
}
@book {MR0445484,
AUTHOR = {Adams, J. F.},
TITLE = {Algebraic topology---a student's guide},
NOTE = {London Mathematical Society Lecture Note Series, No. 4},
PUBLISHER = {Cambridge University Press},
ADDRESS = {London},
YEAR = {1972},
PAGES = {vi+300},
MRCLASS = {55-01},
MRNUMBER = {MR0445484 (56 \#3824)},
}
@incollection {MR1048172,
AUTHOR = {Adams, J. F.},
TITLE = {Talk on {T}oda's work},
BOOKTITLE = {Homotopy theory and related topics ({K}inosaki, 1988)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1418},
PAGES = {7--14},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
MRCLASS = {55Q40 (55-03 55Q15 55Q25 55Q35)},
MRNUMBER = {MR1048172 (91c:55022)},
MRREVIEWER = {Douglas C. Ravenel},
DOI = {10.1007/BFb0083689},
URL = {http://dx.doi.org/10.1007/BFb0083689},
}
@book {MR505692,
AUTHOR = {Adams, J. F.},
TITLE = {Infinite loop spaces},
SERIES = {Annals of Mathematics Studies},
VOLUME = {90},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1978},
PAGES = {x+214},
ISBN = {0-691-08207-3; 0-691-08206-5},
MRCLASS = {55-02 (55N20 55P47)},
MRNUMBER = {MR505692 (80d:55001)},
MRREVIEWER = {Stewart B. Priddy},
}
@incollection {MR764596,
AUTHOR = {Adams, J. F.},
TITLE = {Prerequisites (on equivariant stable homotopy) for
{C}arlsson's lecture},
BOOKTITLE = {Algebraic topology, Aarhus 1982 (Aarhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {483--532},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57S17 (55P91)},
MRNUMBER = {MR764596 (86f:57037)},
MRREVIEWER = {J. P. May},
}
@article{adams-florou_homeomorphisms_2012,
title = {Homeomorphisms, homotopy equivalences and chain complexes},
url = {http://arxiv.org/abs/1205.3024},
abstract = {This thesis concerns the relationship between bounded and controlled topology and how these can be used to recognise which homotopy equivalences of reasonable topological spaces are homotopic to homeomorphisms. Let {\$f:X{\textbackslash}to} Y\$ be a simplicial map of finite-dimensional locally finite simplicial complexes. We prove that \$f\$ has contractible point inverses if and only if it is an \${\textbackslash}epsilon\$-controlled homotopy equivalences for all \${\textbackslash}epsilon{\textgreater}0\$, if and only if {\$f{\textbackslash}times{\textbackslash}mathrm{id}:X{\textbackslash}times{\textbackslash}mathbb{R}} {\textbackslash}to {Y{\textbackslash}times{\textbackslash}mathbb{R}\$} is a homotopy equivalence bounded over the open cone {\$O(Y{\textasciicircum}+)\$} of Pedersen and Weibel. This approach can be generalised to algebra using geometric categories: the {\$X\$-controlled} categories {\${\textbackslash}mathbb{A}{\textasciicircum}*(X)\$}, {\${\textbackslash}mathbb{A}\_*(X)\$} of Ranicki and Weiss together with the bounded categories {\${\textbackslash}mathcal{C}\_M({\textbackslash}mathbb{A})\$} of Pedersen and Weibel. Analogous to the barycentric subdivision of a simplicial complex, we define the algebraic subdivision of a chain complex over that simplicial complex. The main theorem of the thesis is that a chain complex {\$C\$} is chain contractible in {\${\textbackslash}mathbb{A}(X)\$} if and only if {\${\textbackslash}textit{"}C{\textbackslash}otimes{\textbackslash}Z{\textbackslash}textit{"}{\textbackslash}in{\textbackslash}mathbb{A}(X{\textbackslash}times{\textbackslash}mathbb{R})\$} is boundedly chain contractible when measured in {\$O(X{\textasciicircum}+)\$} for a functor \${\textbackslash}textit{"}-{{\textbackslash}otimes{\textbackslash}Z{\textbackslash}textit{"}\$} defined appropriately using algebraic subdivision and for {\${\textbackslash}mathbb{A}={\textbackslash}mathbb{A}{\textasciicircum}*\$} or {\${\textbackslash}mathbb{A}\_*\$.} We prove a squeezing result: a chain complex with a small enough chain contraction has arbitrarily small chain contractions. We conclude with consequences for Poincar{\textbackslash}'{e} Duality spaces. Squeezing tells us that a {\$PL\$} Poincar{\textbackslash}'{e} duality space with small enough Poincar{\textbackslash}'{e} duality is a homology manifold and the main theorem tells us that a {\$PL\$} Poincar{\textbackslash}'{e} duality space {\$X\$} is a homology manifold if and only if {\$X{\textbackslash}times{\textbackslash}mathbb{R}\$} has bounded Poincar{\textbackslash}'{e} duality when measured in the open cone {\$O(X{\textasciicircum}+)\$.}},
urldate = {2012-09-06},
journal = {{arXiv:1205.3024}},
author = {Adams-Florou, Spiros},
month = may,
year = {2012},
keywords = {{57R67}, Mathematics - Algebraic Topology},
}
@article{adler_persistent_2010,
title = {Persistent Homology for Random Fields and Complexes},
url = {http://arxiv.org/abs/1003.1001},
abstract = {We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices, and, in most detail, the algebraic topology of the excursion sets of random fields.},
journal = {1003.1001},
author = {Robert J Adler and Omer Bobrowski and Matthew S Borman and Eliran Subag and Shmuel Weinberger},
month = mar,
year = {2010},
keywords = {{60G15,} {55N35} {(Primary)} {60G55,} {62H35} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - Probability},
}
@article {MR0116363,
AUTHOR = {Aeppli, Alfred},
TITLE = {Modifikation von reellen und komplexen {M}annigfaltigkeiten},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {31},
YEAR = {1957},
PAGES = {219--301},
ISSN = {0010-2571},
MRCLASS = {57.00},
MRNUMBER = {MR0116363 (22 \#7151)},
MRREVIEWER = {P. Dolbeault},
}
@article {MR1671192,
AUTHOR = {Agnihotri, S. and Woodward, C.},
TITLE = {Eigenvalues of products of unitary matrices and quantum
{S}chubert calculus},
JOURNAL = {Math. Res. Lett.},
FJOURNAL = {Mathematical Research Letters},
VOLUME = {5},
YEAR = {1998},
NUMBER = {6},
PAGES = {817--836},
ISSN = {1073-2780},
MRCLASS = {14N35 (14H60 14N15)},
MRNUMBER = {MR1671192 (2000a:14066)},
MRREVIEWER = {Andreas Gathmann},
}
@book {MR0000217,
AUTHOR = {Aitken, A.C.},
TITLE = {Determinants and {M}atrices},
PUBLISHER = {Oliver and Boyd, Edinburgh},
YEAR = {1939},
PAGES = {vii+135},
MRCLASS = {15.0X},
MRNUMBER = {MR0000217 (1,35a)},
}
@book {MR1030042,
AUTHOR = {Akbulut, Selman and McCarthy, John D.},
TITLE = {Casson's invariant for oriented homology {$3$}-spheres},
SERIES = {Mathematical Notes},
VOLUME = {36},
NOTE = {An exposition},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1990},
PAGES = {xviii+182},
ISBN = {0-691-08563-3},
MRCLASS = {57N10 (57M25)},
MRNUMBER = {MR1030042 (90k:57017)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR593626,
AUTHOR = {Akbulut, Selman and Kirby, Rob},
TITLE = {Branched covers of surfaces in {$4$}-manifolds},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {252},
YEAR = {1979/80},
NUMBER = {2},
PAGES = {111--131},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57M12 (14J99 57N15)},
MRNUMBER = {MR593626 (82j:57001)},
MRREVIEWER = {R. Mandelbaum},
DOI = {10.1007/BF01420118},
URL = {http://dx.doi.org/10.1007/BF01420118},
}
@book {MR0184042,
AUTHOR = {Akhiezer, N. I.},
TITLE = {The classical moment problem and some related questions in
analysis},
SERIES = {Translated by N. Kemmer},
PUBLISHER = {Hafner Publishing Co., New York},
YEAR = {1965},
PAGES = {x+253},
MRCLASS = {44.60},
MRNUMBER = {MR0184042 (32 \#1518)},
}
@article {MR2328007,
AUTHOR = {Akhmedov, Anar},
TITLE = {Surface bundles with non-zero signature},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {154},
YEAR = {2007},
NUMBER = {11},
PAGES = {2235--2240},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R22 (57R55)},
MRNUMBER = {MR2328007 (2008d:57029)},
MRREVIEWER = {Yunfeng Jiang},
}
@article {albin1-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, I. Index classes},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.1568},
year = {2009},
}
@article {albin2-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, II. Higher signatures},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.0888v1},
year = {2009},
}
@book {MR0105114,
AUTHOR = {Aleksandrov, P. S.},
TITLE = {Die topologischen Dualit\"atss\"atze. I. Abgeschlossene
Mengen},
SERIES = {Mathematische Forschungsberichte, VII},
PUBLISHER = {VEB Deutscher Verlag der Wissenschaften},
ADDRESS = {Berlin},
YEAR = {1959},
PAGES = {106},
MRCLASS = {55.00},
MRNUMBER = {0105114 (21 \#3859)},
}
@book {MR0149463,
AUTHOR = {Aleksandrov, P. S.},
TITLE = {Elementary concepts of topology},
SERIES = {Translated by Alan E. Farley},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1961},
PAGES = {73},
MRCLASS = {55.00},
MRNUMBER = {MR0149463 (26 \#6951)},
}
@article {MR580663,
AUTHOR = {Aleksandrov, P. S.},
TITLE = {Pages from an autobiography},
NOTE = {International Topology Conference (Moscow State Univ., Moscow,
1979)},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {35},
YEAR = {1980},
NUMBER = {3(213)},
PAGES = {241--278},
ISSN = {0042-1316},
MRCLASS = {01A70 (01A72 54-03)},
MRNUMBER = {580663 (82f:01071b)},
MRREVIEWER = {Roman Duda},
}
@book {MR2110624,
AUTHOR = {Alekseev, V. B.},
TITLE = {Abel's theorem in problems and solutions},
NOTE = {Based on the lectures of Professor V. I. Arnold,
With a preface and an appendix by Arnold and an appendix by A.
Khovanskii},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2004},
PAGES = {xiv+269},
ISBN = {1-4020-2186-0},
MRCLASS = {12F10 (30F20)},
MRNUMBER = {MR2110624 (2006b:12005)},
MRREVIEWER = {Martin Epkenhans},
}
@article {MR0290379,
AUTHOR = {Alexander, J. C.},
TITLE = {The bordism ring of manifolds with involution},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {31},
YEAR = {1972},
PAGES = {536--542},
ISSN = {0002-9939},
MRCLASS = {57.10},
MRNUMBER = {MR0290379 (44 \#7563)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR0402786,
AUTHOR = {Alexander, J. P. and Hamrick, G. C. and Vick, J. W.},
TITLE = {Linking forms and maps of odd prime order},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {221},
YEAR = {1976},
NUMBER = {1},
PAGES = {169--185},
ISSN = {0002-9947},
MRCLASS = {57E15 (57D85)},
MRNUMBER = {MR0402786 (53 \#6600)},
MRREVIEWER = {R. E. Stong},
}
@incollection {MR520493,
AUTHOR = {Alexander, J. P. and Conner, P. E. and Hamrick, G. C.},
TITLE = {Metabolic and hyperbolic forms},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {61--65},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R67 (10C05 18F25 57R85)},
MRNUMBER = {520493 (80e:57038)},
MRREVIEWER = {J. P. Levine},
}
@article {MR1501007,
AUTHOR = {Alexander, J.W.},
TITLE = {A proof of the invariance of certain constants of analysis
situs},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {16},
YEAR = {1915},
NUMBER = {2},
PAGES = {148--154},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57N99},
MRNUMBER = {1501007},
DOI = {10.2307/1988715},
URL = {http://dx.doi.org/10.2307/1988715},
}
@article {alex1,
AUTHOR = {Alexander, J.W.},
TITLE = {Topological Invariants of Knots and Links},
JOURNAL = {Transactions of A.M.S.},
VOLUME = {30},
YEAR = {1928},
PAGES = {275--306},
}
@article {alex2,
AUTHOR = {Alexander, J.W.},
TITLE = {Note on Two Three-Dimensional Manifolds with the Same Group},
JOURNAL = {Transactions of A.M.S.},
VOLUME = {20},
YEAR = {1919},
PAGES = {339--342},
}
@article {alex3,
AUTHOR = {Alexander, J.W.},
TITLE = {On the chains of a complex and their duals},
JOURNAL = {Proceedings of Nat. Acad. USA},
VOLUME = {21},
YEAR = {1935},
PAGES = {509--511},
}
@article {alexcon,
AUTHOR = {Alexander, J.W.},
TITLE = {On the connectivity ring of an abstract space},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {37},
YEAR = {1936},
PAGES = {698--708},
}
@article {alexlem,
AUTHOR = {Alexander, J.W.},
TITLE = {A Lemma on Systems of Knotted Curves},
JOURNAL = {Proceedings of the National Academy of
Sciences of the United States of America},
VOLUME = {9},
YEAR = {1923},
PAGES = {93--95},
}
@book{MR0345087,
AUTHOR = {Alexandroff, P. and Hopf, Heinz},
TITLE = {Topologie. I},
NOTE = {Berichtigter Reprint, Die Grundlehren der mathematischen Wissenschaften, Band 45},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {xiii+636+2},
MRCLASS = {55-XX (54-02 55CXX)},
MRNUMBER = {MR0345087 (49 \#9826)},
}
@article {MR1512423,
AUTHOR = {Alexandroff, P.},
TITLE = {\"{U}ber den allgemeinen {D}imensionsbegriff und seine
{B}eziehungen zur elementaren geometrischen {A}nschauung},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {98},
YEAR = {1928},
NUMBER = {1},
PAGES = {617--635},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {1512423},
DOI = {10.1007/BF01451612},
URL = {http://dx.doi.org/10.1007/BF01451612},
}
@article{aleks,
title={Diskrete Raume},
author={Alexandroff, P.},
journal={Mat. Sb. (N.S.)},
series={2},
year={1937},
pages={501--518},
}
@article {MR660042,
AUTHOR = {Alif, Metod},
TITLE = {Geometric classification of simplicial structures on
topological manifolds},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {259},
YEAR = {1982},
NUMBER = {4},
PAGES = {471--486},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57N15 (57Q15)},
MRNUMBER = {MR660042 (83j:57008)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0189035,
AUTHOR = {Allaud, Guy},
TITLE = {On the classification of fiber spaces},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {92},
YEAR = {1966},
PAGES = {110--125},
ISSN = {0025-5874},
MRCLASS = {55.50},
MRNUMBER = {0189035 (32 \#6462)},
MRREVIEWER = {J. Stasheff},
}
@article {MR0278306,
AUTHOR = {Allaud, Guy},
TITLE = {Remarks on the loop space of a fibration},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {38},
YEAR = {1971},
PAGES = {357--363},
ISSN = {0012-7094},
MRCLASS = {55.50},
MRNUMBER = {0278306 (43 \#4036)},
MRREVIEWER = {P. W. H. Lemmens},
}
@article {MR0007627,
AUTHOR = {Allendoerfer, Carl B. and Weil, Andr{\'e}},
TITLE = {The {G}auss-{B}onnet theorem for {R}iemannian polyhedra},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {53},
YEAR = {1943},
PAGES = {101--129},
ISSN = {0002-9947},
MRCLASS = {52.0X},
MRNUMBER = {0007627 (4,169e)},
MRREVIEWER = {H. Whitney},
}
@article {MR2556030,
AUTHOR = {Andersen, J{\o}rgen Ellegaard and Bene, Alex James and Penner,
R. C.},
TITLE = {Groupoid extensions of mapping class representations for
bordered surfaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {156},
YEAR = {2009},
NUMBER = {17},
PAGES = {2713--2725},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {20F38 (20F34 57M07)},
MRNUMBER = {MR2556030},
DOI = {10.1016/j.topol.2009.08.001},
URL = {http://dx.doi.org/10.1016/j.topol.2009.08.001},
}
@article {MR0238332,
AUTHOR = {Anderson, Douglas R.},
TITLE = {On homotopy spheres bounding highly connected manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {139},
YEAR = {1969},
PAGES = {155--161},
ISSN = {0002-9947},
MRCLASS = {57.10},
MRNUMBER = {MR0238332 (38 \#6608)},
MRREVIEWER = {W. A. LaBach},
}
@article {MR1277522,
AUTHOR = {Anderson, Douglas R. and Connolly, Frank and Ferry, S.
and Pedersen, Erik K.},
TITLE = {Algebraic {$K$}-theory with continuous control at infinity},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {94},
YEAR = {1994},
NUMBER = {1},
PAGES = {25--47},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19J99 (19D23 55N20)},
MRNUMBER = {MR1277522 (95b:19003)},
MRREVIEWER = {Charles Weibel},
}
@book{1035.00005,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Sherlock Holmes in Babylon and other tales of mathematical history.}",
language="English",
publisher="{Washington, DC: The Mathematical Association of America (MAA). x,
387~p. \$~49.95 }",
year="2004",
abstract="{The papers on mathematical history in this anthology first appeared
in the American Mathematical Monthly (AMM), Mathematics Magazine (MM) and
the College Mathematics Journal (CMJ) during the period 1913--2002.
Occasionally, two papers on the same topic allow the reader to compare
historical perspectives. For example, the volume opens with two Monthly
papers on the Plimpton 322 tablet, one by R. C. Buck in 1980 and the other
by E. Robson in 2002. This is followed by a survey of Greek mathematics (600
BC - 600 AD) by M. Dehn (AMM, 1943-1944), an article on Diophantes by J. D.
Swift (AMM, 1956) and two articles on Hypatia by A. W. Richeson (MM, 1940)
and M. A. B. Deakin (AMM, 1994). This section on ancient mathematics is
rounded out by two articles on Chinese mathematics by F. Swetz (MM, 1979)
and P. D. Straffin (MM, 1998) and three on indigenous American mathematics
by W. C. Eells (AMM, 1913), A. W. Richeson (AMM, 1933) and M. Ascher (MM,
1992). \par The second section covers Medieval and Renaissance Mathematics
and treats three independent discoveries of the series formula for $\pi/4$
by R. Roy (MM, 1990), ideas of calculus in Islam and India by V. J. Katz
(MM, 1995), Indian contributions to calculus by D. Bressoud (CMJ, 2002),
al-Kashi's determination of $\sin 1^{\circ}$ by F. Riahi (CMJ, 1995),
Fibonacci's {\it Liber Quadratorum} by R. B. McClenon (AMM, 1919), the
algorist-abacist controversy in Europe by B. E. Reynolds (CMJ, 1993), the
Cardan-Tartaglia controversy by M. A. Nordgaard (MM, 1937--1938), Bombelli's
algebra by A. Arcavi and M. Bruckheimer (CMJ, 1991) and the first
mathematics book in America (Mexico, 1556) by D. E. Smith (AMM, 1921). \par
The third section on the seventeenth century focussed mainly on European
analysis. Here one finds articles on the integral of the secant by V. F.
Rickey and P. M. Tuchinsky (MM, 1980), the cycloid by E. A. Whitman (AMM,
1943), Descartes by J. Grabiner (MM, 1955) and by D. Dennis (MM, 1997),
James Gregory by M. Dehn and E. D. Hellinger (AMM, 1943), the evolution of
the derivative concept by J. V. Grabiner (MM, 1995), Roberval and Newton on
tangents by P. R. Wolfson (AMM, 2001), the logarithmic series by J. E.
Hofmann (MM, 1939), Newton by V. F. Rickey (CMJ, 1987), by B. Porciau (AMM,
1997), by C. B. Boyer (AMM, 1949) and by C. Christensen (CMJ, 1996), and
Leibniz by R. B. McClenon (AMM, 1923) and by D. Dennis and J. Confrey (CMJ,
1995). \par The final section takes us into the eighteenth century, with
papers on Brook Taylor and linear perspective by P. S. Jones (AMM, 1951),
fluxions by J. Grabiner (AMM, 1997) and by F. Cajori (AMM, 1917), the
Bernoullis and the harmonic series by W. Dunham (CMJ, 1987), the number $e$
by J. L. Coolidge (AMM, 1950) and the life and work of Euler by J. J.
Burckhardt (MM, 1983), by J. L\"utzen (MM, 1983), by W. Dunham (CMJ, 1991),
by A. P. Ferzola (CMJ, 1994) and H. M. Edwards (MM, 1983). \par The editors
provide a brief orientation for each section and suggestions for further
reading in an ``Afterword''.}",
reviewer="{Edward J. Barbeau (Toronto)}",
keywords="{history; exposition}",
classmath="{*00B60 (Collections of reprinted articles)
01A05 (General histories, source books)
26-03 (Historical (real functions))
51-03 (Historical (geometry))
}",
}
@book{1166.01003,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Who gave you the epsilon? and other tales of mathematical history.}",
language="English",
publisher="{Spectrum. Washington, DC: The Mathematical Association of America
(MAA). x, 429~p. \$~65.50 }",
year="2009",
abstract="{Lately the MAA has engaged in the custom of reprinting papers on
special topics. This book is a continuation of the bestselling ``Sherlock
Holmes in Babylon" (2004; Zbl 1035.00005), and there have been similar
collections, like ``The Genius of Euler" (2007; Zbl 1120.01009), ``Euler and
Modern Science" (translated in 2007; Zbl 1165.01010), and ``Musing of the
Masters" (2004). \par The book under review consists of a collection of 41
articles on the history of mathematics in the 19th and 20th centuries. The
articles are taken from MAA journals printed between 1900 and 2007. They are
written by well-known mathematicians (G. B. Halsted, G. H. Hardy, B. L. Van
der Waerden, H. Weyl, and others); the length of the papers runs between one
and some 20 pages. The collection is divided into analysis (10); geometry,
topology and foundations (11); algebra and number theory (16), and surveys
(4). \par There is no doubt that after decades the history of science has
made some progress, and in this book for each group such gaps are bridged by
Afterwords (2-3 pages) which give a short outlook whereas Forewords (2-3
pages) for each group embed and introduce the topics dealt with. Although
the papers are well chosen and interesting to read today, of course the
supplied frame, Fore- and Afterwords, is simply too short to be elucidating
in a satisfying way. \par Most of the articles were reviewed individually
earlier. That's why we will use three papers by way of example in order to
demonstrate the collection's advantage and disadvantage. The book opens with
Grabiner's article that gave the collection its title. This paper was
published in 1983, i.e., in a period when non-standard analysis had already
supplied other views on Cauchy, but such controversial views (in English J.
Cleave or G. Fisher, let alone D. Spalt in German) are omitted by the author
and the editors (in their Afterword). Nor is the recently published
translation of Cauchy's ``Cours d'Analyse" (1821), the first time in
English, mentioned. Grabiner states, ``Cauchy did not distinguish between
point-wise and uniform convergence" (p. 10) as well as ``But it was Cauchy
who gave rigorous definitions \dots and the modern rigorous approach to
calculus" (p. 12). If these statements (on continuity) were true, how could
Cauchy be rigorous on the basis of such vague and obviously confused
notions? Furthermore, we find two comments on the 2nd ICM in Paris in 1900,
one by Halsted (2 pp.) and the other one by Griffith (12 pp.), written a
century apart -- an interesting historical combination. \par Although the
intention of the editors is to present above all American papers in the
Afterwords, they leave the non-American reader anyhow irritated because this
concentration mostly on the U.S. book market overlooks some essential works,
like J.-P. Pier's ``Developing of Mathematics" (2000), one that surely
should be referenced.}",
reviewer="{R\"udiger Thiele (Halle)}",
keywords="{history of mathematics; 19th and 20th century}",
classmath="{*01-06 (Proceedings of conferences, etc. (history))
01A75 (Collected or selected works)
}",
}
@article {MR967348,
AUTHOR = {Andrews, Peter},
TITLE = {The classification of surfaces},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {95},
YEAR = {1988},
NUMBER = {9},
PAGES = {861--867},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {57N05},
MRNUMBER = {967348 (89k:57024)},
MRREVIEWER = {Roger Fenn},
DOI = {10.2307/2322906},
URL = {http://dx.doi.org/10.2307/2322906},
}
@article {MR2048304,
AUTHOR = {Ara, Pere},
TITLE = {Finitely presented modules over {L}eavitt algebras},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {191},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {1--21},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16E20 (16E50 19A49)},
MRNUMBER = {MR2048304 (2005b:16012)},
MRREVIEWER = {Peter A. Linnell},
}
@article{MRARA,
AUTHOR = {Ara, Pere and Gonz{\'a}lez-Barroso, M. A. and Goodearl, K. R.
and Pardo, E.},
TITLE = {Fractional skew monoid rings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {278},
YEAR = {2004},
NUMBER = {1},
PAGES = {104--126},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16S36 (16S35 16W22)},
MRNUMBER = {MR2068068 (2005f:16042)},
MRREVIEWER = {Kenneth A. Brown},
}
@article {MR1365013,
AUTHOR = {Bruckheimer, Maxim and Arcavi, Abraham},
TITLE = {Farey series and {P}ick's area theorem},
JOURNAL = {Math. Intelligencer},
FJOURNAL = {The Mathematical Intelligencer},
VOLUME = {17},
YEAR = {1995},
NUMBER = {4},
PAGES = {64--67},
ISSN = {0343-6993},
CODEN = {MAINDC},
MRCLASS = {01A55},
MRNUMBER = {1365013 (96h:01019)},
MRREVIEWER = {Albert C. Lewis},
DOI = {10.1007/BF03024792},
URL = {http://dx.doi.org/10.1007/BF03024792},
}
@article {MR0008069,
AUTHOR = {Arf, Cahit},
TITLE = {Untersuchungen \"uber quadratische {F}ormen in {K}\"orpern der
{C}harakteristik 2. {I}},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {183},
YEAR = {1941},
PAGES = {148--167},
ISSN = {0075-4102},
MRCLASS = {09.0X},
MRNUMBER = {MR0008069 (4,237f)},
MRREVIEWER = {O. F. G. Schilling},
}
@article {MR0184230,
AUTHOR = {Arlt, Dietmar},
TITLE = {Homotopietyp h\"oherdimensionaler {L}insenr\"aume},
JOURNAL = {Bonn. Math. Schr. No.},
FJOURNAL = {Bonner Mathematische Schriften},
VOLUME = {20},
YEAR = {1964},
PAGES = {iv+89},
ISSN = {0524-045x},
MRCLASS = {55.50 (57.30)},
MRNUMBER = {MR0184230 (32 \#1703)},
MRREVIEWER = {A. Dold},
}
@book {MR561509,
AUTHOR = {Armstrong, Mark Anthony},
TITLE = {Basic topology},
PUBLISHER = {McGraw-Hill Book Co. (UK) Ltd.},
ADDRESS = {London},
YEAR = {1979},
PAGES = {xii+251},
ISBN = {0-07-084090-3},
MRCLASS = {55-01 (57-01)},
MRNUMBER = {MR561509 (81c:55001)},
MRREVIEWER = {W. D. Neumann},
}
@article {MR0211415,
AUTHOR = {Arnold, V. I.},
TITLE = {On a characteristic class entering into conditions of
quantization},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {1},
YEAR = {1967},
PAGES = {1--14},
ISSN = {0374-1990},
MRCLASS = {57.50 (35.00)},
MRNUMBER = {MR0211415 (35 \#2296)},
MRREVIEWER = {B. L. Reinhart},
}
@article {MR0286790,
AUTHOR = {Arnold, V. I.},
TITLE = {The situation of ovals of real plane algebraic curves, the
involutions of four-dimensional smooth manifolds, and the
arithmetic of integral quadratic forms},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {5},
YEAR = {1971},
NUMBER = {3},
PAGES = {1--9},
ISSN = {0374-1990},
MRCLASS = {14.01 (10.00)},
MRNUMBER = {0286790 (44 \#3999)},
MRREVIEWER = {A. H. Wallace},
}
@article {MR0467795,
AUTHOR = {Arnold, V. I.},
TITLE = {Local normal forms of functions},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {35},
YEAR = {1976},
PAGES = {87--109},
ISSN = {0020-9910},
MRCLASS = {58C25 (57D70)},
MRNUMBER = {0467795 (57 \#7646)},
MRREVIEWER = {J. S. Joel},
}
@book {MR1042758,
TITLE = {Dynamical systems. {IV}},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {4},
AUTHOR = {Novikov, S. P. and Arnold, V. I.},
NOTE = {Symplectic geometry and its applications,
A translation of Sovremennye problemy matematiki.
Fundamentalnye napravleniya, Tom 4, Akad. Nauk SSSR, Vsesoyuz.
Inst. Nauchn. i Tekhn. Inform., Moscow, 1985 [ MR0842907
(87j:58032)],
Translation by G. Wassermann,
Translation edited by V. I. Arnol{\cprime}d and S. P. Novikov},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1990},
PAGES = {vi+283},
ISBN = {3-540-17003-0},
MRCLASS = {58Fxx},
MRNUMBER = {MR1042758 (90j:58039)},
}
@article {MR1331356,
AUTHOR = {Arnold, V. I.},
TITLE = {The geometry of spherical curves and quaternion algebra},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Rossiui skaya Akademiya Nauk. Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk},
VOLUME = {50},
YEAR = {1995},
NUMBER = {1(301)},
PAGES = {3--68},
ISSN = {0042-1316},
MRCLASS = {57M99 (53A04 58C27)},
MRNUMBER = {MR1331356 (96f57015)},
MRREVIEWER = {V. M. Zakalyukin},
}
@article {MR1481696,
AUTHOR = {Arnold, V. I.},
TITLE = {Topological content of the {M}axwell theorem on multipole
representation of spherical functions},
JOURNAL = {Topol. Methods Nonlinear Anal.},
FJOURNAL = {Topological Methods in Nonlinear Analysis},
VOLUME = {7},
YEAR = {1996},
NUMBER = {2},
PAGES = {205--217},
ISSN = {1230-3429},
MRCLASS = {33D55 (14P25)},
MRNUMBER = {1481696 (99c:33029)},
MRREVIEWER = {Eugenii Shustin},
}
@book {MR1612569,
AUTHOR = {Arnold, V. I. and Khesin, Boris A.},
TITLE = {Topological methods in hydrodynamics},
SERIES = {Applied Mathematical Sciences},
VOLUME = {125},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {xvi+374},
ISBN = {0-387-94947-X},
MRCLASS = {58-02 (35Q30 58B25 58D05 76-02 76M30)},
MRNUMBER = {1612569 (99b:58002)},
MRREVIEWER = {Nikolai K. Smolentsev},
}
@article {MR1721354,
AUTHOR = {Arnold, V. I.},
TITLE = {Relatives of the quotient of the complex projective plane by
complex conjugation},
JOURNAL = {Tr. Mat. Inst. Steklova},
FJOURNAL = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova.
Rossi\u\i skaya Akademiya Nauk},
VOLUME = {224},
YEAR = {1999},
NUMBER = {Algebra. Topol. Differ. Uravn. i ikh Prilozh.},
PAGES = {56--67},
ISSN = {0371-9685},
MRCLASS = {53C30},
MRNUMBER = {MR1721354 (2001e:53052)},
MRREVIEWER = {Jean-Claude Sikorav},
}
@incollection {MR1733566,
AUTHOR = {Arnold, V. I.},
TITLE = {Symplectization, complexification and mathematical trinities},
BOOKTITLE = {The {A}rnoldfest ({T}oronto, {ON}, 1997)},
SERIES = {Fields Inst. Commun.},
VOLUME = {24},
PAGES = {23--37},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1999},
MRCLASS = {01A65 (01A55 01A60 14P05)},
MRNUMBER = {MR1733566 (2001i:01044)},
MRREVIEWER = {V. D. Sedykh},
}
@article {MR1802319,
AUTHOR = {Arnold, V. I.},
TITLE = {The complex {L}agrangian {G}rassmannian},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Funktsional\cprime ny\u\i\
Analiz i ego Prilozheniya},
VOLUME = {34},
YEAR = {2000},
NUMBER = {3},
PAGES = {63--65},
ISSN = {0374-1990},
MRCLASS = {53D12 (37J05)},
MRNUMBER = {MR1802319 (2001k:53152)},
MRREVIEWER = {Dmitry A. Kalinin},
DOI = {10.1007/BF02482410},
URL = {http://dx.doi.org/10.1007/BF02482410},
}
@article {MR1991436,
AUTHOR = {Arnold, V. I.},
TITLE = {Arithmetics of binary quadratic forms, symmetry of their
continued fractions and geometry of their de {S}itter world},
NOTE = {Dedicated to the 50th anniversary of IMPA},
JOURNAL = {Bull. Braz. Math. Soc. (N.S.)},
FJOURNAL = {Bulletin of the Brazilian Mathematical Society. New Series.
Boletim da Sociedade Brasileira de Matem\'atica},
VOLUME = {34},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--42},
ISSN = {1678-7544},
MRCLASS = {11E16 (20F67 53A35)},
MRNUMBER = {MR1991436 (2004h:11030)},
DOI = {10.1007/s00574-003-0001-8},
URL = {http://dx.doi.org/10.1007/s00574-003-0001-8},
}
@article {MR653941,
AUTHOR = {Arnold, V. I.},
TITLE = {On some problems in singularity theory},
JOURNAL = {Proc. Indian Acad. Sci. Math. Sci.},
FJOURNAL = {Indian Academy of Sciences. Proceedings. Mathematical
Sciences},
VOLUME = {90},
YEAR = {1981},
NUMBER = {1},
PAGES = {1--9},
ISSN = {0370-0089},
MRCLASS = {58Cxx (14B05 32B30)},
MRNUMBER = {653941 (83j:58011)},
DOI = {10.1007/BF02867012},
URL = {http://dx.doi.org/10.1007/BF02867012},
}
@book {MR777682,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {I}},
SERIES = {Monographs in Mathematics},
VOLUME = {82},
NOTE = {The classification of critical points, caustics and wave
fronts,
Translated from the Russian by Ian Porteous and Mark Reynolds},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1985},
PAGES = {xi+382},
ISBN = {0-8176-3187-9},
MRCLASS = {58C27},
MRNUMBER = {777682 (86f:58018)},
}
@article {MR820079,
AUTHOR = {Arnold, V. I.},
TITLE = {Sturm theorems and symplectic geometry},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego
Prilozheniya},
VOLUME = {19},
YEAR = {1985},
NUMBER = {4},
PAGES = {1--10, 95},
ISSN = {0374-1990},
MRCLASS = {58F05 (34B25 34C10 58E10 58F22)},
MRNUMBER = {MR820079 (87j:58033)},
MRREVIEWER = {Nicolae H. Pavel},
}
@article {MR891881,
AUTHOR = {Arnold, V. I.},
TITLE = {The asymptotic Hopf invariant and its applications},
NOTE = {Selected translations},
JOURNAL = {Selecta Math. Soviet.},
FJOURNAL = {Selecta Mathematica Sovietica},
VOLUME = {5},
YEAR = {1986},
NUMBER = {4},
PAGES = {327--345},
ISSN = {0272-9903},
MRCLASS = {58E30 (22E65 55Q25 58D99 76A05 76W05)},
MRNUMBER = {891881 (89m:58053)},
MRREVIEWER = {Yakov Eliashberg},
}
@book {MR966191,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {II}},
SERIES = {Monographs in Mathematics},
VOLUME = {83},
NOTE = {Monodromy and asymptotics of integrals,
Translated from the Russian by Hugh Porteous,
Translation revised by the authors and James Montaldi},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1988},
PAGES = {viii+492},
ISBN = {0-8176-3185-2},
MRCLASS = {58C27 (32B30 32C40 32G11)},
MRNUMBER = {966191 (89g:58024)},
}
@book {MR997295,
AUTHOR = {Arnold, V. I.},
TITLE = {Mathematical methods of classical mechanics},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {60},
EDITION = {Second},
NOTE = {Translated from the Russian by K. Vogtmann and A. Weinstein},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1989},
PAGES = {xvi+508},
ISBN = {0-387-96890-3},
MRCLASS = {58Fxx (70-02 70H05)},
MRNUMBER = {MR997295 (90c:58046)},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@article {MR1638238,
AUTHOR = {Arone, Greg},
TITLE = {A generalization of {S}naith-type filtration},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {351},
YEAR = {1999},
NUMBER = {3},
PAGES = {1123--1150},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (19D10 55P65)},
MRNUMBER = {MR1638238 (99i:55011)},
MRREVIEWER = {V. P. Snaith},
}
@book {MR1382863,
AUTHOR = {Steen, Lynn Arthur and Seebach, Jr., J. Arthur},
TITLE = {Counterexamples in topology},
NOTE = {Reprint of the second (1978) edition},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {1995},
PAGES = {xii+244},
ISBN = {0-486-68735-X},
MRCLASS = {54-00 (00A20 54-01 54G20)},
MRNUMBER = {MR1382863 (96k:54001)},
}
@article {MR0019087,
AUTHOR = {Artin, Emil},
TITLE = {Theory of braids},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {48},
YEAR = {1947},
PAGES = {101--126},
ISSN = {0003-486X},
MRCLASS = {20.0X},
MRNUMBER = {0019087 (8,367a)},
MRREVIEWER = {S. Eilenberg},
}
@article {MR3069440,
AUTHOR = {Artin, Emil},
TITLE = {Theorie der {Z}\"opfe},
JOURNAL = {Abh. Math. Sem. Univ. Hamburg},
FJOURNAL = {Abhandlungen aus dem Mathematischen Seminar der Universit\"at
Hamburg},
VOLUME = {4},
YEAR = {1925},
NUMBER = {1},
PAGES = {47--72},
ISSN = {0025-5858},
CODEN = {AMHAAJ},
MRCLASS = {Contributed Item},
MRNUMBER = {3069440},
DOI = {10.1007/BF02950718},
URL = {http://dx.doi.org/10.1007/BF02950718},
}
@article {MR0260675,
AUTHOR = {Asai, Tetsuya},
TITLE = {The reciprocity of {D}edekind sums and the factor set for the
universal covering group of {${\rm SL}(2,\,R)$}},
JOURNAL = {Nagoya Math. J.},
FJOURNAL = {Nagoya Mathematical Journal},
VOLUME = {37},
YEAR = {1970},
PAGES = {67--80},
ISSN = {0027-7630},
MRCLASS = {10.22},
MRNUMBER = {MR0260675 (41 \#5299)},
MRREVIEWER = {O. H. K{\"o}rner},
}
@book {MR2298917,
AUTHOR = {Asselmeyer-Maluga, Torsten and Brans, Carl H.},
TITLE = {Exotic smoothness and physics},
NOTE = {Differential topology and spacetime models},
PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
YEAR = {2007},
PAGES = {xiv+322},
ISBN = {978-981-02-4195-7; 981-02-4195-X},
MRCLASS = {57R55 (53C80 81T13)},
MRNUMBER = {MR2298917 (2007m:57036)},
MRREVIEWER = {Vicente Mu{\~n}oz},
}
@article{astier_signatures_2010,
title = {Signatures of hermitian forms},
url = {http://arxiv.org/abs/1003.0956},
abstract = {Signatures of quadratic forms have been generalized to hermitian forms over algebras with involution. In the literature this is done via Morita theory, which causes sign ambiguities in certain cases. The main result of this paper consists of a method for resolving this problem, using properties of the underlying algebra with involution.},
journal = {1003.0956},
author = {Vincent Astier and Thomas Unger},
month = mar,
year = {2010},
keywords = {{16K20,} {11E39,} {13J30,} Mathematics - Rings and Algebras},
}
@article {MR0105718,
AUTHOR = {Atiyah, M. F.},
TITLE = {Some examples of complex manifolds},
JOURNAL = {Bonn. Math. Schr. no.},
FJOURNAL = {Bonner Mathematische Schriften},
VOLUME = {6},
YEAR = {1958},
PAGES = {28},
ISSN = {0524-045x},
MRCLASS = {53.00 (32.00)},
MRNUMBER = {MR0105718 (21 \#4454)},
MRREVIEWER = {E. Calabi},
}
@article {MR0110106,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Riemann-{R}och theorems for differentiable manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {65},
YEAR = {1959},
PAGES = {276--281},
ISSN = {0002-9904},
MRCLASS = {57.00},
MRNUMBER = {0110106 (22 \#989)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0126282,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Bott periodicity and the parallelizability of the spheres},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {57},
YEAR = {1961},
PAGES = {223--226},
MRCLASS = {55.50 (55.60)},
MRNUMBER = {0126282 (23 \#A3578)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0126856,
AUTHOR = {Atiyah, M. F.},
TITLE = {Bordism and cobordism},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {57},
YEAR = {1961},
PAGES = {200--208},
MRCLASS = {57.10},
MRNUMBER = {MR0126856 (23 \#A4150)},
MRREVIEWER = {A. Dold},
}
@article {MR0131880,
AUTHOR = {Atiyah, M. F.},
TITLE = {Thom complexes},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {11},
YEAR = {1961},
PAGES = {291--310},
ISSN = {0024-6115},
MRCLASS = {57.30},
MRNUMBER = {MR0131880 (24 \#A1727)},
MRREVIEWER = {R. Bott},
}
@incollection {MR0139181,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Vector bundles and homogeneous spaces},
BOOKTITLE = {Proc. {S}ympos. {P}ure {M}ath., {V}ol. {III}},
PAGES = {7--38},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1961},
MRCLASS = {57.30 (14.52)},
MRNUMBER = {0139181 (25 \#2617)},
MRREVIEWER = {R. Bott},
}
@article {MR0148722,
AUTHOR = {Atiyah, M. F.},
TITLE = {Characters and cohomology of finite groups},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {9},
YEAR = {1961},
PAGES = {23--64},
ISSN = {0073-8301},
MRCLASS = {18.20},
MRNUMBER = {0148722 (26 \#6228)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0154294,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Charakteristische {K}lassen und {A}nwendungen},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {7},
YEAR = {1961},
PAGES = {188--213 (1962)},
ISSN = {0013-8584},
MRCLASS = {57.32},
MRNUMBER = {MR0154294 (27 \#4243)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0156361,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Cohomologie-{O}perationen und charakteristische {K}lassen},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {77},
YEAR = {1961},
PAGES = {149--187},
ISSN = {0025-5874},
MRCLASS = {57.32},
MRNUMBER = {MR0156361 (27 \#6285)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0157392,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators on compact manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {69},
YEAR = {1963},
PAGES = {422--433},
ISSN = {0002-9904},
MRCLASS = {57.50},
MRNUMBER = {0157392 (28 \#626)},
MRREVIEWER = {R. Bott},
}
@article {MR0167985,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Shapiro, Arnold},
TITLE = {Clifford modules},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1964},
NUMBER = {suppl. 1},
PAGES = {3--38},
ISSN = {0040-9383},
MRCLASS = {57.30 (55.30)},
MRNUMBER = {0167985 (29 \#5250)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0178470,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {On the periodicity theorem for complex vector bundles},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {112},
YEAR = {1964},
PAGES = {229--247},
ISSN = {0001-5962},
MRCLASS = {55.50 (57.30)},
MRNUMBER = {MR0178470 (31 \#2727)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0198460,
AUTHOR = {Adams, J. F. and Atiyah, M. F.},
TITLE = {{$K$}-theory and the {H}opf invariant},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {17},
YEAR = {1966},
PAGES = {31--38},
ISSN = {0033-5606},
MRCLASS = {55.40 (57.30)},
MRNUMBER = {MR0198460 (33 \#6618)},
MRREVIEWER = {E. Dyer},
}
@article {MR0202130,
AUTHOR = {Atiyah, M. F.},
TITLE = {Power operations in {$K$}-theory},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {17},
YEAR = {1966},
PAGES = {165--193},
ISSN = {0033-5606},
MRCLASS = {55.32},
MRNUMBER = {MR0202130 (34 \#2004)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0206940,
AUTHOR = {Atiyah, M. F.},
TITLE = {{$K$}-theory and reality},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {17},
YEAR = {1966},
PAGES = {367--386},
ISSN = {0033-5606},
MRCLASS = {55.30 (57.30)},
MRNUMBER = {0206940 (34 \#6756)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0211418,
AUTHOR = {Atiyah, M. F.},
TITLE = {Algebraic topology and elliptic operators},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {20},
YEAR = {1967},
PAGES = {237--249},
ISSN = {0010-3640},
MRCLASS = {57.50 (35.00)},
MRNUMBER = {MR0211418 (35 \#2299)},
MRREVIEWER = {J. Eells},
}
@article {MR0212836,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {A {L}efschetz fixed point formula for elliptic complexes. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {86},
YEAR = {1967},
PAGES = {374--407},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0212836 (35 \#3701)},
MRREVIEWER = {R. S. Palais},
}
@book {MR0224083,
AUTHOR = {Atiyah, M. F.},
TITLE = {{$K$}-theory},
SERIES = {Lecture notes by D. W. Anderson},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1967},
PAGES = {v+166+xlix},
MRCLASS = {55.30 (57.00)},
MRNUMBER = {MR0224083 (36 \#7130)},
}
@article {MR0228000,
AUTHOR = {Atiyah, M. F.},
TITLE = {Bott periodicity and the index of elliptic operators},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {19},
YEAR = {1968},
PAGES = {113--140},
ISSN = {0033-5606},
MRCLASS = {57.30 (35.00)},
MRNUMBER = {MR0228000 (37 \#3584)},
MRREVIEWER = {J. Eells},
}
@article {MR0232406,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {A {L}efschetz fixed point formula for elliptic complexes.
{II}. {A}pplications},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {88},
YEAR = {1968},
PAGES = {451--491},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0232406 (38 \#731)},
MRREVIEWER = {R. S. Palais},
}
@article {MR0236950,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {484--530},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236950 (38 \#5243)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0236951,
AUTHOR = {Atiyah, M. F. and Segal, Graeme},
TITLE = {The index of elliptic operators. {II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {531--545},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236951 (38 \#5244)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0236952,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {III}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {546--604},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236952 (38 \#5245)},
MRREVIEWER = {F. Hirzebruch},
}
@book {MR0242802,
AUTHOR = {Atiyah, M. F. and Macdonald, I. G.},
TITLE = {Introduction to commutative algebra},
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
Mills, Ont.},
YEAR = {1969},
PAGES = {ix+128},
MRCLASS = {13.00},
MRNUMBER = {MR0242802 (39 \#4129)},
MRREVIEWER = {J. A. Johnson},
}
@article {MR0244387,
AUTHOR = {Atiyah, M. F. and Tall, D. O.},
TITLE = {Group representations, {$\lambda $}-rings and the
{$J$}-homomorphism},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {253--297},
ISSN = {0040-9383},
MRCLASS = {20.50 (55.00)},
MRNUMBER = {0244387 (39 \#5702)},
MRREVIEWER = {H. Bass},
}
@incollection {MR0248803,
AUTHOR = {Atiyah, M. F.},
TITLE = {Algebraic topology and operators in {H}ilbert space},
BOOKTITLE = {Lectures in {M}odern {A}nalysis and {A}pplications. {I}},
PAGES = {101--121},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1969},
MRCLASS = {55.30 (47.00)},
MRNUMBER = {MR0248803 (40 \#2053)},
MRREVIEWER = {K. H. Mayer},
}
@incollection {MR0254864,
AUTHOR = {Atiyah, M. F.},
TITLE = {The signature of fibre-bundles},
BOOKTITLE = {Global {A}nalysis ({P}apers in {H}onor of {K}. {K}odaira)},
PAGES = {73--84},
PUBLISHER = {Univ. Tokyo Press},
ADDRESS = {Tokyo},
YEAR = {1969},
MRCLASS = {57.30},
MRNUMBER = {MR0254864 (40 \#8071)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR0259946,
AUTHOR = {Atiyah, M. F. and Segal, Graeme},
TITLE = {Equivariant {$K$}-theory and completion},
JOURNAL = {J. Differential Geometry},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {3},
YEAR = {1969},
PAGES = {1--18},
ISSN = {0022-040X},
MRCLASS = {57.40 (18.00)},
MRNUMBER = {0259946 (41 \#4575)},
MRREVIEWER = {S. Y. Husseini},
}
@book {MR0263102,
AUTHOR = {Atiyah, M. F.},
TITLE = {Vector fields on manifolds},
SERIES = {Arbeitsgemeinschaft f\"ur Forschung des Landes
Nordrhein-Westfalen, Heft 200},
PUBLISHER = {Westdeutscher Verlag},
ADDRESS = {Cologne},
YEAR = {1970},
PAGES = {26},
MRCLASS = {57.34},
MRNUMBER = {MR0263102 (41 \#7707)},
MRREVIEWER = {K. H. Mayer},
}
@incollection {MR0264700,
AUTHOR = {Atiyah, M. F.},
TITLE = {Topology of elliptic operators},
BOOKTITLE = {Global {A}nalysis ({P}roc. {S}ympos. {P}ure {M}ath., {V}ol.
{XVI}, {B}erkeley, {C}alif., 1968)},
PAGES = {101--119},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1970},
MRCLASS = {57.50},
MRNUMBER = {0264700 (41 \#9291)},
MRREVIEWER = {R. S. Palais},
}
@article {MR0279833,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {IV}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {119--138},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {0279833 (43 \#5554)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0279834,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {V}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {139--149},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {0279834 (43 \#5555)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0285033,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {Index theory for skew-adjoint {F}redholm operators},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {37},
YEAR = {1969},
PAGES = {5--26},
ISSN = {0073-8301},
MRCLASS = {57.50},
MRNUMBER = {0285033 (44 \#2257)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0286136,
AUTHOR = {Atiyah, M. F.},
TITLE = {Riemann surfaces and spin structures},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {4},
YEAR = {1971},
PAGES = {47--62},
ISSN = {0012-9593},
MRCLASS = {57.50 (30.00)},
MRNUMBER = {MR0286136 (44 \#3350)},
MRREVIEWER = {J. Eells},
}
@article {MR0331443,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {5},
YEAR = {1973},
PAGES = {229--234},
ISSN = {0024-6093},
MRCLASS = {58G99 (35P05)},
MRNUMBER = {MR0331443 (48 \#9776)},
MRREVIEWER = {V. W. Guillemin},
}
@article {MR0397797,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {I}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {77},
YEAR = {1975},
PAGES = {43--69},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397797 (53 \#1655a)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397798,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {II}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {78},
YEAR = {1975},
NUMBER = {3},
PAGES = {405--432},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397798 (53 \#1655b)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397799,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {III}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {79},
YEAR = {1976},
NUMBER = {1},
PAGES = {71--99},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397799 (53 \#1655c)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0419852,
AUTHOR = {Atiyah, M. F. and Rees, Elmer},
TITLE = {Vector bundles on projective 3-space},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {35},
YEAR = {1976},
PAGES = {131--153},
ISSN = {0020-9910},
MRCLASS = {32L05 (55F15 14F05)},
MRNUMBER = {0419852 (54 \#7870)},
MRREVIEWER = {P. E. Newstead},
}
@incollection {MR0420729,
AUTHOR = {Atiyah, M. F.},
TITLE = {Elliptic operators, discrete groups and von {N}eumann
algebras},
BOOKTITLE = {Colloque ``{A}nalyse et {T}opologie'' en l'{H}onneur de
{H}enri {C}artan ({O}rsay, 1974)},
PAGES = {43--72. Ast\'erisque, No. 32-33},
PUBLISHER = {Soc. Math. France},
ADDRESS = {Paris},
YEAR = {1976},
MRCLASS = {58G10 (46L10 22E45)},
MRNUMBER = {MR0420729 (54 \#8741)},
MRREVIEWER = {R. D. Moyer},
}
@article {MR0451256,
AUTHOR = {Atiyah, M. F. and Dupont, Johan L.},
TITLE = {Vector fields with finite singularities},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {128},
YEAR = {1972},
PAGES = {1--40},
ISSN = {0001-5962},
MRCLASS = {57D25},
MRNUMBER = {MR0451256 (56 \#9543)},
MRREVIEWER = {Ulrich Koschorke},
}
@book {MR0482866,
AUTHOR = {Atiyah, M. F.},
TITLE = {Elliptic operators and compact groups},
SERIES = {Lecture Notes in Mathematics, Vol. 401},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {ii+93},
MRCLASS = {58G10},
MRNUMBER = {MR0482866 (58 \#2910)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0650828,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Patodi, V. K.},
TITLE = {On the heat equation and the index theorem},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {19},
YEAR = {1973},
PAGES = {279--330},
ISSN = {0020-9910},
MRCLASS = {58G10 (35K05)},
MRNUMBER = {MR0650828 (58 \#31287)},
}
@article {MR1001453,
AUTHOR = {Atiyah, M. F.},
TITLE = {Topological quantum field theory},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {68},
YEAR = {1988},
PAGES = {175--186 (1989)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {57R55 (58E15 81E13 81E40)},
MRNUMBER = {MR1001453 (90e:57059)},
MRREVIEWER = {Matthias Blau},
}
@book {MR1043170,
AUTHOR = {Atiyah, M. F.},
TITLE = {{$K$}-theory},
SERIES = {Advanced Book Classics},
EDITION = {Second},
NOTE = {Notes by D. W. Anderson},
PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
ADDRESS = {Redwood City, CA},
YEAR = {1989},
PAGES = {xx+216},
ISBN = {0-201-09394-4},
MRCLASS = {18F25 (19-01 55R50 57-02)},
MRNUMBER = {MR1043170 (90m:18011)},
}
@article {MR1046621,
AUTHOR = {Atiyah, M. F.},
TITLE = {On framings of {$3$}-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {29},
YEAR = {1990},
NUMBER = {1},
PAGES = {1--7},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R15 (57R20)},
MRNUMBER = {MR1046621 (91g:57025)},
MRREVIEWER = {Matthias Kreck},
DOI = {10.1016/0040-9383(90)90021-B},
URL = {http://dx.doi.org/10.1016/0040-9383(90)90021-B},
}
@book {MR1078014,
AUTHOR = {Atiyah, M. F.},
TITLE = {The geometry and physics of knots (book)},
SERIES = {Lezioni Lincee. [Lincei Lectures]},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1990},
PAGES = {x+78},
ISBN = {0-521-39521-6},
MRCLASS = {57M25 (14D20 32G81 58F06 81S10 81T40)},
MRNUMBER = {MR1078014 (92b:57008)},
MRREVIEWER = {Steven Rosenberg},
}
@article {MR1456155,
AUTHOR = {Atiyah, M. F.},
TITLE = {An introduction to topological quantum field theories},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {21},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--7},
ISSN = {1300-0098},
MRCLASS = {58D29 (16L60 57N65 57R57)},
MRNUMBER = {1456155 (98f:58046)},
MRREVIEWER = {Lowell Abrams},
}
@article {MR1853626,
AUTHOR = {Atiyah, M. F.},
TITLE = {Configurations of points},
NOTE = {Topological methods in the physical sciences (London, 2000)},
JOURNAL = {R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci.},
FJOURNAL = {The Royal Society of London. Philosophical Transactions.
Series A. Mathematical, Physical and Engineering Sciences},
VOLUME = {359},
YEAR = {2001},
NUMBER = {1784},
PAGES = {1375--1387},
ISSN = {1364-503X},
MRCLASS = {55R80 (58D29 70G40)},
MRNUMBER = {1853626 (2003b:55016)},
MRREVIEWER = {Michael Murray},
DOI = {10.1098/rsta.2001.0840},
URL = {http://dx.doi.org/10.1098/rsta.2001.0840},
}
@incollection {MR1919420,
AUTHOR = {Atiyah, M. F.},
TITLE = {The geometry of classical particles},
BOOKTITLE = {Surveys in differential geometry},
SERIES = {Surv. Differ. Geom., VII},
PAGES = {1--15},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2000},
MRCLASS = {55R80 (51M04 51M09)},
MRNUMBER = {1919420 (2003h:55022)},
MRREVIEWER = {Michael G. Eastwood},
}
@incollection {MR2039984,
AUTHOR = {Atiyah, M. F. and Berndt, J{\"u}rgen},
TITLE = {Projective planes, {S}everi varieties and spheres},
BOOKTITLE = {Surveys in differential geometry, {V}ol.\ {VIII} ({B}oston,
{MA}, 2002)},
SERIES = {Surv. Differ. Geom., VIII},
PAGES = {1--27},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2003},
MRCLASS = {53C30 (32M15 57S25)},
MRNUMBER = {MR2039984 (2005b:53080)},
MRREVIEWER = {Andrea Spiro},
}
@incollection {MR2181802,
AUTHOR = {Atiyah, M. F.},
TITLE = {The interaction between geometry and physics},
BOOKTITLE = {The unity of mathematics},
SERIES = {Progr. Math.},
VOLUME = {244},
PAGES = {1--15},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {2006},
MRCLASS = {58-02 (53-02 81-02)},
MRNUMBER = {2181802 (2006h:58001)},
MRREVIEWER = {Daniel S. Freed},
DOI = {10.1007/0-8176-4467-9_1},
URL = {http://dx.doi.org/10.1007/0-8176-4467-9_1},
}
@article {MR707164,
AUTHOR = {Atiyah, M. F. and Donnelly, H. and Singer, I. M.},
TITLE = {Eta invariants, signature defects of cusps, and values of
{$L$}-functions},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {118},
YEAR = {1983},
NUMBER = {1},
PAGES = {131--177},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {58G11 (11F41 11G40 11R42 58G10)},
MRNUMBER = {MR707164 (86g:58134a)},
MRREVIEWER = {R. Sczech},
}
@article {MR909232,
AUTHOR = {Atiyah, M. F.},
TITLE = {The logarithm of the {D}edekind {$\eta$}-function},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {278},
YEAR = {1987},
NUMBER = {1-4},
PAGES = {335--380},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {58G10 (11F20)},
MRNUMBER = {MR909232 (89h:58177)},
MRREVIEWER = {Friedbert Pr{\"u}fer},
}
@book {mfaknot,
AUTHOR = {Atiyah, M. F.},
TITLE = {The geometry and physics of knots (paper)},
SERIES = {Royal Institution Proceedings},
YEAR = {1990},
PAGES = {213-225},
}
@article {MR1362827,
AUTHOR = {Austin, D. M. and Braam, P. J.},
TITLE = {Morse-{B}ott theory and equivariant cohomology},
BOOKTITLE = {The {F}loer memorial volume},
SERIES = {Progr. Math.},
VOLUME = {133},
PAGES = {123--183},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1995},
MRCLASS = {57R70 (55N35 55N91 58E05)},
MRNUMBER = {MR1362827 (96i:57037)},
MRREVIEWER = {Dave Auckly},
}
@article{austin_counterexample_2009,
title = {A counterexample to a conjecture of Atiyah},
url = {http://arxiv.org/abs/0909.2360},
abstract = {We prove that there are examples of finitely generated groups G together with group ring elements Q {\textbackslash}in {{\textbackslash}bbQ} G for which the von Neumann dimension {{\textbackslash}dim\_{LG}{\textbackslash}ker} Q is irrational, so (in conjunction with other known results) disproving a conjecture of Atiyah.},
journal = {0909.2360},
author = {Tim Austin},
month = sep,
year = {2009},
keywords = {{05C25} (secondary), {20F65} (primary), {58J22,} Mathematics - Dynamical Systems, Mathematics - Geometric Topology, Mathematics - Group Theory, Mathematics - Operator Algebras},
}
@article {MR3189041,
AUTHOR = {Baader, Sebastian},
TITLE = {Positive braids of maximal signature},
JOURNAL = {Enseign. Math.},
FJOURNAL = {L'Enseignement Math\'ematique},
VOLUME = {59},
YEAR = {2013},
NUMBER = {3-4},
PAGES = {351--358},
ISSN = {0013-8584},
MRCLASS = {57M25 (20F36)},
MRNUMBER = {3189041},
DOI = {10.4171/LEM/59-3-8},
URL = {http://dx.doi.org/10.4171/LEM/59-3-8},
}
@article{baaslaures,
AUTHOR= {Laures, G. and Baas, N.},
TITLE = {Singularities and Quinn spectra},
YEAR = {2013},
}
@article {MR1886087,
AUTHOR = {Baez, John},
TITLE = {The octonions},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {39},
YEAR = {2002},
NUMBER = {2},
PAGES = {145--205 (electronic)},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {17A35 (01A55 01A60 17C40 83A05)},
MRNUMBER = {MR1886087 (2003f:17003)},
MRREVIEWER = {Helena Albuquerque},
}
@article{baez_higher-dimensional_1995,
author={Baez, John and Dolan, James},
title = {Higher-dimensional Algebra and Topological Quantum
Field Theory},
url = {http://arxiv.org/abs/q-alg/9503002},
doi = {10.1063/1.531236},
abstract = {The study of topological quantum field theories
increasingly relies upon concepts from higher-dimensional
algebra such as n-categories and n-vector spaces. We review
progress towards a definition of n-category suited for this
purpose, and outline a program in which n-dimensional {TQFTs
}
@article {MR1748312,
AUTHOR = {Bailly, C. and Vdovina, Alina},
TITLE = {Sous-espaces d\'eterminant l'invariant de {A}rf et un
th\'eor\`eme de {R}ohlin sur la signature},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
Math\'ematique},
VOLUME = {330},
YEAR = {2000},
NUMBER = {3},
PAGES = {221--223},
ISSN = {0764-4442},
CODEN = {CASMEI},
MRCLASS = {11E81 (57R20)},
MRNUMBER = {1748312 (2001k:11066)},
MRREVIEWER = {Florian L. Deloup},
DOI = {10.1016/S0764-4442(00)00102-6},
URL = {http://dx.doi.org/10.1016/S0764-4442(00)00102-6},
}
@article {MR2008439,
AUTHOR = {Bailly, C. and Cabral, M. de J.},
TITLE = {L'octogone r\'egulier et la signature des formes quadratiques
enti\`eres non singuli\`eres},
NOTE = {With an appendix by G. Gahide},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {53},
YEAR = {2003},
NUMBER = {3},
PAGES = {749--766},
ISSN = {0373-0956},
CODEN = {AIFUA7},
MRCLASS = {11L07 (11E45 11E81)},
MRNUMBER = {2008439 (2004m:11126)},
MRREVIEWER = {Renaud Coulangeon},
URL = {http://aif.cedram.org/item?id=AIF_2003__53_3_749_0},
}
@article{bartholdi_hodge_2009,
title = {Hodge Theory on Metric Spaces},
url = {http://arxiv.org/abs/0912.0284},
abstract = {Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional {\textbackslash}alpha-scale homology.},
journal = {0912.0284},
author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Smale, S. and Anthony W Baker},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology, Mathematics - Numerical Analysis},
}
@article {MR1813503,
AUTHOR = {Balmer, Paul and Schlichting, Marco},
TITLE = {Idempotent completion of triangulated categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {236},
YEAR = {2001},
NUMBER = {2},
PAGES = {819--834},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18E30},
MRNUMBER = {MR1813503 (2002a:18013)},
}
@article {MR2142898,
AUTHOR = {Balmer, Paul and Preeti, Raman},
TITLE = {Shifted {W}itt groups of semi-local rings},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {117},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {19G12 (18E30)},
MRNUMBER = {MR2142898 (2006e:19006)},
MRREVIEWER = {Susanne Pumpluen},
}
@article {balmwit,
AUTHOR = {Balmer, Paul},
TITLE = {Witt groups},
}
@article {MR1992279,
AUTHOR = {Banagl, Markus and Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Computing twisted signatures and {$L$}-classes of stratified
spaces},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {326},
YEAR = {2003},
NUMBER = {3},
PAGES = {589--623},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {32S60 (55N25 55N33 57R20 57R45)},
MRNUMBER = {MR1992279 (2004i:32047)},
MRREVIEWER = {Burt Totaro},
}
@article {MR2215133,
AUTHOR = {Banagl, Markus},
TITLE = {The {$L$}-class of non-{W}itt spaces},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {163},
YEAR = {2006},
NUMBER = {3},
PAGES = {743--766},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {55N33 (32S60 57R20)},
MRNUMBER = {MR2215133 (2007m:55006)},
}
@book {MR2286904,
AUTHOR = {Banagl, Markus},
TITLE = {Topological invariants of stratified spaces},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2007},
PAGES = {xii+259},
ISBN = {978-3-540-38585-1; 3-540-38585-1},
MRCLASS = {55N33 (32S60)},
MRNUMBER = {MR2286904 (2007j:55007)},
MRREVIEWER = {Laurentiu G. Maxim},
}
@article {MR2577502,
AUTHOR = {Banagl, Markus},
TITLE = {Singular spaces and generalized {P}oincar\'e complexes},
JOURNAL = {Electron. Res. Announc. Math. Sci.},
FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
VOLUME = {16},
YEAR = {2009},
PAGES = {63--73},
ISSN = {1935-9179},
MRCLASS = {57P10 (55N33)},
MRNUMBER = {MR2577502},
}
@book {MR2662593,
AUTHOR = {Banagl, Markus},
TITLE = {Intersection spaces, spatial homology truncation, and string
theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1997},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2010},
PAGES = {xvi+217},
ISBN = {978-3-642-12588-1},
MRCLASS = {55N33 (57P10 81Txx)},
MRNUMBER = {2662593},
DOI = {10.1007/978-3-642-12589-8},
URL = {http://dx.doi.org/10.1007/978-3-642-12589-8},
}
@article{banagl,
AUTHOR = {Markus Banagl},
TITLE = {Computing signatures and L-classes of non-Witt spaces},
}
@article{banagl2,
AUTHOR = {Markus Banagl},
TITLE = {The signature of singular spaces and its refinements
to generalized homology theories},
}
@article{math.AT/0304362,
author = {Markus Banagl and Andrew Ranicki},
title = {{Generalized Arf invariants in algebraic L-theory}},
}
@book {positive,
AUTHOR = {Banagl, Markus},
TITLE = {Positive topological quantum field theories},
}
@article {MR0225327,
AUTHOR = {Banchoff, Thomas},
TITLE = {Critical points and curvature for embedded polyhedra},
JOURNAL = {J. Differential Geometry},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {1},
YEAR = {1967},
PAGES = {245--256},
ISSN = {0022-040X},
MRCLASS = {57.05},
MRNUMBER = {0225327 (37 \#921)},
MRREVIEWER = {S. S. Cairns},
}
@article {MR0259812,
AUTHOR = {Banchoff, Thomas},
TITLE = {Critical points and curvature for embedded polyhedral
surfaces},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {77},
YEAR = {1970},
PAGES = {475--485},
ISSN = {0002-9890},
MRCLASS = {53.74},
MRNUMBER = {0259812 (41 \#4444)},
}
@article {MR0259815,
AUTHOR = {Banchoff, Thomas},
TITLE = {Total central curvature of curves},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {37},
YEAR = {1970},
PAGES = {281--289},
ISSN = {0012-7094},
MRCLASS = {53.75},
MRNUMBER = {0259815 (41 \#4447)},
MRREVIEWER = {M. Kurita},
}
@article {MR0370599,
AUTHOR = {Banchoff, Thomas},
TITLE = {Global geometry of polygons. {I}: {T}he theorem of
{F}abricius-{B}jerre},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {45},
YEAR = {1974},
PAGES = {237--241},
ISSN = {0002-9939},
MRCLASS = {57C15 (14B05)},
MRNUMBER = {0370599 (51 \#6826)},
MRREVIEWER = {A. H. Copeland, Jr.},
}
@article {MR0431208,
AUTHOR = {Kauffman, Louis and Banchoff, Thomas},
TITLE = {Immersions and {${\rm mod}$}-{$2$} quadratic forms},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {84},
YEAR = {1977},
NUMBER = {3},
PAGES = {168--188},
ISSN = {0002-9890},
MRCLASS = {57D40},
MRNUMBER = {MR0431208 (55 \#4210)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0431226,
AUTHOR = {Banchoff, Thomas},
TITLE = {Self linking numbers of space polygons},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {25},
YEAR = {1976},
NUMBER = {12},
PAGES = {1171--1188},
ISSN = {0022-2518},
MRCLASS = {57D99},
MRNUMBER = {0431226 (55 \#4227)},
MRREVIEWER = {H. R. Gluck},
}
@article {MR726753,
AUTHOR = {Banchoff, Thomas},
TITLE = {Global geometry of polygons. {III}. {F}renet frames and
theorems of {J}acobi and {M}ilnor for space polygons},
JOURNAL = {Rad Jugoslav. Akad. Znan. Umjet.},
FJOURNAL = {Rad Jugoslavenske Akademije Znanosti i Umjetnosti},
NUMBER = {396},
YEAR = {1982},
PAGES = {101--108},
MRCLASS = {53A04},
MRNUMBER = {726753 (85c:53003)},
MRREVIEWER = {H. R. Gluck},
}
@article {MR0097060,
AUTHOR = {Barcus, W. D. and Barratt, M. G.},
TITLE = {On the homotopy classification of the extensions of a fixed
map},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {88},
YEAR = {1958},
PAGES = {57--74},
ISSN = {0002-9947},
MRCLASS = {55.00},
MRNUMBER = {MR0097060 (20 \#3540)},
MRREVIEWER = {D. W. Kahn},
}
@article {MR0116330,
AUTHOR = {Barcus, W. D.},
TITLE = {The stable suspension of an {E}ilenberg-{M}ac{L}ane space},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {96},
YEAR = {1960},
PAGES = {101--114},
ISSN = {0002-9947},
MRCLASS = {55.00},
MRNUMBER = {MR0116330 (22 \#7119)},
MRREVIEWER = {I. M. James},
}
@article {MR0377939,
AUTHOR = {Barge, Jean and Lannes, Jean and Latour, Fran{\c{c}}ois and
Vogel, Pierre},
TITLE = {{$\Lambda $}-sph\`eres},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {463--505 (1975)},
ISSN = {0012-9593},
MRCLASS = {57D80},
MRNUMBER = {MR0377939 (51 \#14108)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR1183404,
AUTHOR = {Barge, Jean and Ghys, {\'E}tienne},
TITLE = {Cocycles d'{E}uler et de {M}aslov},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {294},
YEAR = {1992},
NUMBER = {2},
PAGES = {235--265},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {55U99 (11F20 57R20)},
MRNUMBER = {MR1183404 (95b:55021)},
MRREVIEWER = {V. P. Snaith},
}
@book {MR2431916,
AUTHOR = {Barge, Jean and Lannes, Jean},
TITLE = {Suites de {S}turm, indice de {M}aslov et p\'eriodicit\'e de
{B}ott},
SERIES = {Progress in Mathematics},
VOLUME = {267},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2008},
PAGES = {viii+199},
ISBN = {978-3-7643-8709-9},
MRCLASS = {53Dxx (19G38 55R45 57R17 57R20)},
MRNUMBER = {MR2431916},
}
@article {MR2409409,
AUTHOR = {Barmak, Jonathan Ariel and Minian, Elias Gabriel},
TITLE = {Simple homotopy types and finite spaces},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {218},
YEAR = {2008},
NUMBER = {1},
PAGES = {87--104},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57Q10 (06A06 55U05)},
MRNUMBER = {2409409 (2010a:57042)},
DOI = {10.1016/j.aim.2007.11.019},
URL = {http://dx.doi.org/10.1016/j.aim.2007.11.019},
}
@book{barmak,
author="Barmak, Jonathan Ariel",
title="{Algebraic topology of finite topological spaces and applications.}",
language="English",
publisher="{Berlin: Springer}",
year="2011",
doi={10.1007/978-3-642-22003-6},
abstract="{Preliminary review / Publisher's description: This volume deals with
the theory of finite topological spaces and its
relationship with the homotopy and simple homotopy theory of polyhedra.
The interaction between their intrinsic combinatorial and topological
structures makes finite spaces a useful tool for studying problems in
Topology, Algebra and Geometry from a new perspective. In particular,
the methods developed in this manuscript are used to study Quillen’s
conjecture on the poset of p-subgroups of a finite group and the
Andrews-Curtis conjecture on the 3-deformability of contractible
two-dimensional complexes.
This self-contained work constitutes the first detailed
exposition on the algebraic topology of finite spaces. It is intended
for topologists and combinatorialists, but it is also recommended for
advanced undergraduate students and graduate students with a modest
knowledge of Algebraic Topology.}",
reviewer="{}",
classmath="{54-02 (Research monographs (general topology)) 54G05 (Extremally
disconnected spaces, $F$-spaces, etc.) 54A25 (Cardinality properties of
topological spaces) }",
}
@article{barmak_quillens_2010,
title = {On Quillen's Theorem A for posets},
url = {http://arxiv.org/abs/1005.0538},
abstract = {A theorem of {McCord} of 1966 and Quillen's Theorem A of 1973 provide sufficient conditions for a map between two posets to be a homotopy equivalence at the level of complexes. We give an alternative elementary proof of this result and we deduce also a stronger statement: under the hypotheses of the theorem, the map is not only a homotopy equivalence but a simple homotopy equivalence. This leads then to stronger formulations of the simplicial version of Quillen's Theorem A, the Nerve lemma and other known results.},
journal = {1005.0538},
author = {Jonathan Ariel Barmak},
month = may,
year = {2010},
keywords = {{55U10,} {06A07,} {55P10,} {57Q10,} {18B35.,} Mathematics - Algebraic Topology, Mathematics - Combinatorics},
}
@article {MR908669,
AUTHOR = {Barnes, Donald W.},
TITLE = {The simplicial bundle of a {CW} fibration},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {101},
YEAR = {1987},
NUMBER = {3},
PAGES = {559--562},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55R05 (55R10 55R20 55T10)},
MRNUMBER = {MR908669 (88m:55022)},
MRREVIEWER = {David Handel},
}
@article {MR0288103,
AUTHOR = {Barnett, S.},
TITLE = {A new formulation of the theorems of {H}urwitz, {R}outh and
{S}turm},
JOURNAL = {J. Inst. Math. Appl.},
FJOURNAL = {Journal of the Institute of Mathematics and its Applications},
VOLUME = {8},
YEAR = {1971},
PAGES = {240--250},
ISSN = {0020-2932},
MRCLASS = {12.30 (15.00)},
MRNUMBER = {MR0288103 (44 \#5301)},
MRREVIEWER = {W. Ledermann},
}
@article {MR0072477,
AUTHOR = {Barratt, M. G.},
TITLE = {Track groups. {I}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {5},
YEAR = {1955},
PAGES = {71--106}`,
ISSN = {0024-6115},
MRCLASS = {55.0X},
MRNUMBER = {MR0072477 (17,290c)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0073179,
AUTHOR = {Barratt, M. G.},
TITLE = {Track groups. {II}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {5},
YEAR = {1955},
PAGES = {285--329},
ISSN = {0024-6115},
MRCLASS = {55.0X},
MRNUMBER = {MR0073179 (17,395e)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0097060,
AUTHOR = {Barcus, W. D. and Barratt, M. G.},
TITLE = {On the homotopy classification of the extensions of a fixed
map},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {88},
YEAR = {1958},
PAGES = {57--74},
ISSN = {0002-9947},
MRCLASS = {55.00},
MRNUMBER = {MR0097060 (20 \#3540)},
MRREVIEWER = {D. W. Kahn},
}
@article {MR0120647,
AUTHOR = {Barratt, M. G.},
TITLE = {Spaces of finite characteristic},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {11},
YEAR = {1960},
PAGES = {124--136},
ISSN = {0033-5606},
MRCLASS = {55.00},
MRNUMBER = {MR0120647 (22 \#11396)},
MRREVIEWER = {N. Stein},
}
@article {MR0139647,
AUTHOR = {Barratt, M. G.},
TITLE = {A note on the cohomology of semigroups},
JOURNAL = {J. London Math. Soc.},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {36},
YEAR = {1961},
PAGES = {496--498},
ISSN = {0024-6107},
MRCLASS = {18.20},
MRNUMBER = {0139647 (25 \#3078)},
MRREVIEWER = {J. W. Gray},
}
@article {MR0314940,
AUTHOR = {Barratt, M. G. and Priddy, Stewart},
TITLE = {On the homology of non-connected monoids and their associated
groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {1--14},
ISSN = {0010-2571},
MRCLASS = {18H10 (57F05)},
MRNUMBER = {0314940 (47 \#3489)},
MRREVIEWER = {J. C. Becker},
}
@article {MR1704260,
AUTHOR = {Barrow-Green, June},
TITLE = {``{A} corrective to the spirit of too exclusively pure
mathematics'': {R}obert {S}mith (1689--1768) and his prizes at
{C}ambridge {U}niversity},
JOURNAL = {Ann. of Sci.},
FJOURNAL = {Annals of Science},
VOLUME = {56},
YEAR = {1999},
NUMBER = {3},
PAGES = {271--316},
ISSN = {0003-3790},
CODEN = {ANNSA8},
MRCLASS = {01A80 (01A50 01A55 01A73)},
MRNUMBER = {1704260 (2000g:01047)},
MRREVIEWER = {F. Smithies},
DOI = {10.1080/000337999296418},
URL = {http://dx.doi.org/10.1080/000337999296418},
}
@book {MR2467561,
TITLE = {The {P}rinceton companion to mathematics},
AUTHOR = {Gowers, Timothy and Barrow-Green, June and Leader, Imre},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2008},
PAGES = {xxii+1034},
ISBN = {978-0-691-11880-2},
MRCLASS = {00A20 (00A05)},
MRNUMBER = {MR2467561 (2009i:00002)},
MRREVIEWER = {Terence Tao},
}
@article {MR1988817,
AUTHOR = {Bartels, Arthur},
TITLE = {Squeezing and higher algebraic {$K$}-theory},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {28},
YEAR = {2003},
NUMBER = {1},
PAGES = {19--37},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19D50 (19A31 19B28 19D55 19E20)},
MRNUMBER = {1988817 (2004f:19006)},
MRREVIEWER = {Charles Weibel},
DOI = {10.1023/A:1024166521174},
URL = {http://dx.doi.org/10.1023/A:1024166521174},
}
@article {MR2030590,
AUTHOR = {Bartels, Arthur and Farrell, F. T. and Jones, Lowell and Reich,
Holger},
TITLE = {On the isomorphism conjecture in algebraic {$K$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {1},
PAGES = {157--213},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D50 (19A31 19B28)},
MRNUMBER = {MR2030590 (2004m:19004)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@article {MR2365652,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {On the {F}arrell-{J}ones conjecture and its applications},
JOURNAL = {J. Topol.},
FJOURNAL = {Journal of Topology},
VOLUME = {1},
YEAR = {2008},
NUMBER = {1},
PAGES = {57--86},
ISSN = {1753-8416},
MRCLASS = {19D55 (19A31 19B28)},
MRNUMBER = {MR2365652 (2008m:19001)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1112/jtopol/jtm008},
URL = {http://dx.doi.org/10.1112/jtopol/jtm008},
}
@article {MR2772544,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
TITLE = {On hyperbolic groups with spheres as boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {86},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--16},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57Mxx (19Lxx 20F67 53Cxx)},
MRNUMBER = {2772544},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1299766682},
}
@article {bl,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang},
TITLE = {The Borel conjecture for hyperbolic and $CAT(0)$-groups},
}
@article {blr,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {The K-theoretic Farrell-Jones conjecture for hyperbolic groups},
}
@article{math.GT/0004021,
title = {{All two dimensional links are null homotopic}},
author = {Arthur Bartels and Peter Teichner},
journal = {Geom. Topol.},
volume = 3,
year = 1999,
pages = {235--252},
}
@article{math.KT/0404486,
title = {{Induction Theorems and Isomorphism Conjectures for K- and
L-Theory}},
author = {Arthur Bartels and Wolfgang L{\"u}ck},
}
@article{math.KT/0407489,
title = {{Isomorphism Conjecture for homotopy K-theory and groups
acting on trees}},
author = {Arthur Bartels and Wolfgang L{\"u}ck},
}
@article {MR1553954,
AUTHOR = {Barth, W. and Martin, R. S. and Wilkinson, J. H.},
TITLE = {Handbook {S}eries {L}inear {A}lgebra: {C}alculation of the
eigenvalues of a symmetric tridiagonal matrix by the method of
bisection},
JOURNAL = {Numer. Math.},
FJOURNAL = {Numerische Mathematik},
VOLUME = {9},
YEAR = {1967},
NUMBER = {5},
PAGES = {386--393},
ISSN = {0029-599X},
CODEN = {NUMMA7},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1553954},
}
@book {MR749574,
AUTHOR = {Barth, W. and Peters, C. and Van de Ven, A.},
TITLE = {Compact complex surfaces},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
in Mathematics and Related Areas (3)]},
VOLUME = {4},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {x+304},
ISBN = {3-540-12172-2},
MRCLASS = {32Jxx (14Jxx)},
MRNUMBER = {MR749574 (86c:32026)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR0488075,
AUTHOR = {Barthel, Gottfried},
TITLE = {Symmetrische {B}ilinearformen auf endlichen {A}belschen
{G}ruppen},
JOURNAL = {Geometriae Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {7},
YEAR = {1978},
NUMBER = {1},
PAGES = {45--61},
ISSN = {0046-5755},
MRCLASS = {57D20 (14B05)},
MRNUMBER = {0488075 (58 \#7646)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR2137471,
AUTHOR = {Barthel, Gottfried and Brasselet, Jean-Paul and Fieseler,
Karl-Heinz and Kaup, Ludger},
TITLE = {Combinatorial duality and intersection product: a direct
approach},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {57},
YEAR = {2005},
NUMBER = {2},
PAGES = {273--292},
ISSN = {0040-8735},
CODEN = {TOMJAM},
MRCLASS = {14F43 (52B99)},
MRNUMBER = {2137471 (2006a:14031)},
MRREVIEWER = {Boris J. Kazarnovski{\u\i}},
URL = {http://projecteuclid.org/getRecord?id=euclid.tmj/1119888340},
}
@book {MR912097,
AUTHOR = {Barthel, Gottfried and Hirzebruch, Friedrich and H{\"o}fer,
Thomas},
TITLE = {Geradenkonfigurationen und {A}lgebraische {F}l\"achen},
SERIES = {Aspects of Mathematics, D4},
PUBLISHER = {Friedr. Vieweg \& Sohn},
ADDRESS = {Braunschweig},
YEAR = {1987},
PAGES = {xii+308},
ISBN = {3-528-08907-5},
MRCLASS = {14J29 (14J25)},
MRNUMBER = {912097 (89a:14045)},
MRREVIEWER = {H{\'e}l{\`e}ne Esnault},
}
@article{bartholdi_hodge_2009,
title = {Hodge Theory on Metric Spaces},
url = {http://arxiv.org/abs/0912.0284},
abstract = {Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional {\textbackslash}alpha-scale homology.},
journal = {0912.0284},
author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Smale, S. and Anthony W Baker},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology, Mathematics - Numerical Analysis},
}
@paper {MR2797019,
TITLE = {Mathematical lives},
AUTHOR = {Bartocci, Claudio and Betti, Renato and Guerraggio, Angelo and
Lucchetti, Roberto},
NOTE = {Protagonists of the twentieth century from Hilbert to Wiles,
Translated from the 2007 Italian original by Kim Williams},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2011},
PAGES = {xiv+238},
ISBN = {978-3-642-13605-4},
MRCLASS = {01-06 (01A70)},
MRNUMBER = {2797019 (2011k:01001)},
}
@incollection {MR1731815,
AUTHOR = {Barvinok, Alexander and Pommersheim, James E.},
TITLE = {An algorithmic theory of lattice points in polyhedra},
BOOKTITLE = {New perspectives in algebraic combinatorics ({B}erkeley, {CA},
1996--97)},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {38},
PAGES = {91--147},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1999},
MRCLASS = {52C07 (05A15)},
MRNUMBER = {MR1731815 (2000k:52014)},
}
@article{bobbar,
AUTHOR = {Baryshnikov, Y. and Ghrist, Robert},
TITLE = {Target enumeration and Euler characteristic integrals},
}
@article {MR0143789,
AUTHOR = {Bass, H.},
TITLE = {Big projective modules are free},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {7},
YEAR = {1963},
PAGES = {24--31},
ISSN = {0019-2082},
MRCLASS = {16.90},
MRNUMBER = {0143789 (26 \#1341)},
MRREVIEWER = {J. P. Jans},
}
@article {MR0174604,
AUTHOR = {Bass, H.},
TITLE = {{$K$}-theory and stable algebra},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
NUMBER = {22},
YEAR = {1964},
PAGES = {5--60},
MRCLASS = {18.20 (16.90)},
MRNUMBER = {MR0174604 (30 \#4805)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0174605,
AUTHOR = {Bass, H. and Heller, A. and Swan, R. G.},
TITLE = {The {W}hitehead group of a polynomial extension},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
NUMBER = {22},
YEAR = {1964},
PAGES = {61--79},
MRCLASS = {18.20 (16.90)},
MRNUMBER = {MR0174605 (30 \#4806)},
MRREVIEWER = {J. F. Adams},
}
@book {MR0249491,
AUTHOR = {Bass, H.},
TITLE = {Algebraic {$K$}-theory},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1968},
PAGES = {xx+762},
MRCLASS = {18.20},
MRNUMBER = {MR0249491 (40 \#2736)},
MRREVIEWER = {A. Heller},
}
@book {MR03253071,
AUTHOR = {Bass, H.},
TITLE = {Algebraic {$K$}-theory. {I}: {H}igher {$K$}-theories},
SERIES = {Lecture Notes in Mathematics, Vol. 341},
BOOKTITLE = {Proceedings of the {C}onference held at the {S}eattle
{R}esearch {C}enter of the {B}attelle {M}emorial {I}nstitute,
from {A}ugust 28 to {S}eptember 8, 1972},
NOTE = {Edited by H. Bass},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1973},
PAGES = {xv+335},
MRCLASS = {00A10 (01A70 18FXX)},
MRNUMBER = {0325307 (48 \#3656a)},
}
@book {MR03253072,
AUTHOR = {Bass, H.},
TITLE = {Algebraic {$K$}-theory. {II}: Classical Algebraic K-theory},
SERIES = {Lecture Notes in Mathematics, Vol. 342},
BOOKTITLE = {Proceedings of the {C}onference held at the {S}eattle
{R}esearch {C}enter of the {B}attelle {M}emorial {I}nstitute,
from {A}ugust 28 to {S}eptember 8, 1972},
NOTE = {Edited by H. Bass},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1973},
PAGES = {xv+335},
MRCLASS = {00A10 (01A70 18FXX)},
MRNUMBER = {0325307 (48 \#3656a)},
}
@book {MR03253073,
AUTHOR = {Bass, H.},
TITLE = {Algebraic {$K$}-theory. {III}: Hermitian K-theory},
SERIES = {Lecture Notes in Mathematics, Vol. 343},
BOOKTITLE = {Proceedings of the {C}onference held at the {S}eattle
{R}esearch {C}enter of the {B}attelle {M}emorial {I}nstitute,
from {A}ugust 28 to {S}eptember 8, 1972},
NOTE = {Edited by H. Bass},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1973},
PAGES = {xv+335},
MRCLASS = {00A10 (01A70 18FXX)},
MRNUMBER = {0325307 (48 \#3656a)},
}
@article {MR2079597,
AUTHOR = {Bauer, Tilman and Kitchloo, Nitu and Notbohm, Dietrich and
Pedersen, Erik K.},
TITLE = {Finite loop spaces are manifolds},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {192},
YEAR = {2004},
NUMBER = {1},
PAGES = {5--31},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {57R19 (55P35 55P45 57R10 57R65)},
MRNUMBER = {2079597 (2005i:57035)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.1007/BF02441084},
URL = {http://dx.doi.org/10.1007/BF02441084},
}
@article {MR1255923,
AUTHOR = {Baues, Hans Joachim},
TITLE = {Quadratic functors and metastable homotopy},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {91},
YEAR = {1994},
NUMBER = {1-3},
PAGES = {49--107},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {55U35 (55Q40)},
MRNUMBER = {MR1255923 (94j:55022)},
MRREVIEWER = {Donald M. Davis},
DOI = {10.1016/0022-4049(94)90135-X},
URL = {http://dx.doi.org/10.1016/0022-4049(94)90135-X},
}
@article {MR1340168,
AUTHOR = {Baues, Hans Joachim},
TITLE = {On the group of homotopy equivalences of a manifold},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {348},
YEAR = {1996},
NUMBER = {12},
PAGES = {4737--4773},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P10 (55P99 57N65 57R50)},
MRNUMBER = {1340168 (97c:55008)},
MRREVIEWER = {Edgar H. Brown, Jr.},
DOI = {10.1090/S0002-9947-96-01555-3},
URL = {http://dx.doi.org/10.1090/S0002-9947-96-01555-3},
}
@book {MR1404516,
AUTHOR = {Baues, Hans Joachim},
TITLE = {Homotopy type and homology},
SERIES = {Oxford Mathematical Monographs},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1996},
PAGES = {xii+489},
ISBN = {0-19-851482-4},
MRCLASS = {55-02 (55N10 55P15 55P20 55P30 55S45)},
MRNUMBER = {1404516 (97f:55001)},
MRREVIEWER = {Dominique Arlettaz},
}
@book {MR2220189,
AUTHOR = {Baues, Hans Joachim},
TITLE = {The algebra of secondary cohomology operations},
SERIES = {Progress in Mathematics},
VOLUME = {247},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2006},
PAGES = {xxxii+483},
ISBN = {3-7643-7448-9; 978-3-7643-7448-8},
MRCLASS = {55S20 (18G10 55T15)},
MRNUMBER = {2220189 (2008a:55015)},
MRREVIEWER = {David Chataur},
}
@book {MR634675,
AUTHOR = {Baues, Hans Joachim},
TITLE = {Commutator calculus and groups of homotopy classes},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {50},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1981},
PAGES = {ii+160},
ISBN = {0-521-28424-4},
MRCLASS = {55Q05 (55P60)},
MRNUMBER = {634675 (83b:55012)},
MRREVIEWER = {Guido Mislin},
}
@book {MR985099,
AUTHOR = {Baues, Hans Joachim},
TITLE = {Algebraic homotopy},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {15},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1989},
PAGES = {xx+466},
ISBN = {0-521-33376-8},
MRCLASS = {55P15 (55-02 55Q05)},
MRNUMBER = {985099 (90i:55016)},
MRREVIEWER = {Charles A. McGibbon},
DOI = {10.1017/CBO9780511662522},
URL = {http://dx.doi.org/10.1017/CBO9780511662522},
}
@book {baues11,
AUTHOR = {Baues, Hans Joachim},
TITLE = {Foundations},
}
@article {MR833015,
AUTHOR = {Bayer-Fluckiger, Eva and Stoltzfus, Neal W.},
TITLE = {Stably hyperbolic {$\epsilon$}-{H}ermitian forms and doubly
sliced knots},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {366},
YEAR = {1986},
PAGES = {129--141},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11E39 (11E08 11E81 57M25)},
MRNUMBER = {833015 (87e:11053)},
MRREVIEWER = {Maurice Flamant},
}
@article {MR2066654,
AUTHOR = {Beachy, John A.},
TITLE = {A note on {C}ohn's universal localisation at a semiprime
ideal},
JOURNAL = {Bull. Austral. Math. Soc.},
FJOURNAL = {Bulletin of the Australian Mathematical Society},
VOLUME = {69},
YEAR = {2004},
NUMBER = {3},
PAGES = {361--367},
ISSN = {0004-9727},
CODEN = {ALNBAB},
MRCLASS = {16S90 (16S10)},
MRNUMBER = {MR2066654 (2005a:16047)},
}
@article {MR2449528,
AUTHOR = {Bechtluft-Sachs, Stefan},
TITLE = {An integral formula for the {M}aslov-index of a symplectic
path},
JOURNAL = {Rep. Math. Phys.},
FJOURNAL = {Reports on Mathematical Physics},
VOLUME = {61},
YEAR = {2008},
NUMBER = {3},
PAGES = {417--427},
ISSN = {0034-4877},
CODEN = {RMHPBE},
MRCLASS = {53D12},
MRNUMBER = {MR2449528},
DOI = {10.1016/S0034-4877(08)80022-5},
URL = {http://dx.doi.org/10.1016/S0034-4877(08)80022-5},
}
@incollection {MR2063199,
AUTHOR = {Beck, Matthias and Robins, Sinai},
TITLE = {Dedekind sums: a combinatorial-geometric viewpoint},
BOOKTITLE = {Unusual applications of number theory},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {64},
PAGES = {25--35},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2004},
MRCLASS = {11F20 (11L03 11P21)},
MRNUMBER = {MR2063199 (2005f:11070)},
MRREVIEWER = {Bruce C. Berndt},
}
@book {MR2271992,
AUTHOR = {Beck, Matthias and Robins, Sinai},
TITLE = {Computing the continuous discretely},
SERIES = {Undergraduate Texts in Mathematics},
NOTE = {Integer-point enumeration in polyhedra},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2007},
PAGES = {xviii+226},
ISBN = {978-0-387-29139-0; 0-387-29139-3},
MRCLASS = {11P21 (05-02 05A15 11-02 11H06 52B05 52B20)},
MRNUMBER = {MR2271992 (2007h:11119)},
MRREVIEWER = {Jes{\'u}s A. de Loera},
}
@article {MR0339232,
AUTHOR = {Becker, J. C. and Schultz, Reinhard},
TITLE = {Equivariant function spaces and stable homotopy theory. {I}},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {49},
YEAR = {1974},
PAGES = {1--34},
ISSN = {0010-2571},
MRCLASS = {57D85 (55E10)},
MRNUMBER = {MR0339232 (49 \#3994)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0415606,
AUTHOR = {Becker, J. C. and Schultz, Reinhard},
TITLE = {Equivariant function spaces and stables homotopy theory. {II}},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {25},
YEAR = {1976},
NUMBER = {5},
PAGES = {481--492},
ISSN = {0022-2518},
MRCLASS = {55D10 (57E15)},
MRNUMBER = {MR0415606 (54 \#3689)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0035015,
AUTHOR = {Begle, E. G.},
TITLE = {The {V}ietoris mapping theorem for bicompact spaces},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {51},
YEAR = {1950},
PAGES = {534--543},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0035015 (11,677b)},
MRREVIEWER = {S. T. Hu},
}
@article {MR0082097,
AUTHOR = {Begle, E. G.},
TITLE = {The {V}ietoris mapping theorem for bicompact spaces. {II}},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {3},
YEAR = {1955--1956},
PAGES = {179--180},
ISSN = {0026-2285},
MRCLASS = {55.0X},
MRNUMBER = {MR0082097 (18,497d)},
MRREVIEWER = {S. T. Hu},
}
@article {MR0045838,
AUTHOR = {Behnke, Heinrich and Stein, Karl},
TITLE = {Modifikation komplexer {M}annigfaltigkeiten und {R}iemannscher
{G}ebiete},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {124},
YEAR = {1951},
PAGES = {1--16},
ISSN = {0025-5831},
MRCLASS = {30.0X},
MRNUMBER = {MR0045838 (13,644d)},
MRREVIEWER = {P. Thullen},
}
@book {MR1987382,
AUTHOR = {Ben-Israel, Adi and Greville, Thomas N. E.},
TITLE = {Generalized inverses},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la
SMC, 15},
EDITION = {Second},
NOTE = {Theory and applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xvi+420},
ISBN = {0-387-00293-6},
MRCLASS = {15A09 (47A05 47A50)},
MRNUMBER = {1987382 (2004b:15008)},
}
@article {MR2556030,
AUTHOR = {Andersen, J{\o}rgen Ellegaard and Bene, Alex James and Penner,
R. C.},
TITLE = {Groupoid extensions of mapping class representations for
bordered surfaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {156},
YEAR = {2009},
NUMBER = {17},
PAGES = {2713--2725},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {20F38 (20F34 57M07)},
MRNUMBER = {MR2556030},
DOI = {10.1016/j.topol.2009.08.001},
URL = {http://dx.doi.org/10.1016/j.topol.2009.08.001},
}
@article{benedetti_smoothing_2012,
author="Benedetti, Bruno",
title = {Smoothing discrete Morse theory},
url = {http://arxiv.org/abs/1212.0885},
abstract = {We survey the relation between Morse theory and
its discretization by Forman. We show that {PL} handlebody
theory and discrete Morse theory are equivalent, in the sense
that every discrete Morse vector on some {PL} triangulation is
also a {PL} handle vector, and conversely, every {PL} handle
vector is also a discrete Morse vector on some {PL
}
@article {MR2670500,
AUTHOR = {Benkhalifa, Mahmoud},
TITLE = {The certain exact sequence of {W}hitehead and the
classification of homotopy types of {CW}-complexes},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {157},
YEAR = {2010},
NUMBER = {14},
PAGES = {2240--2250},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {55Pxx (57Qxx)},
MRNUMBER = {2670500},
DOI = {10.1016/j.topol.2010.05.014},
URL = {http://dx.doi.org/10.1016/j.topol.2010.05.014},
}
@book{hirzebruch_manifolds_1992,
title = {Manifolds and modular forms},
isbn = {3-528-06414-5},
url = {http://portal.acm.org/citation.cfm?id=151091},
publisher = {Friedr. Vieweg {\textbackslash}\& Sohn Verlagsgesellschaft {mbH}},
author = {Friedrich Hirzebruch and Thomas Berger and Rainer Jung},
year = {1992},
annote = {Translator - Peter S. Landweber},
}
@article {MR0357502,
AUTHOR = {Bergman, George M.},
TITLE = {Modules over coproducts of rings},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {200},
YEAR = {1974},
PAGES = {1--32},
MRCLASS = {16A64},
MRNUMBER = {MR0357502 (50 \#9970)},
MRREVIEWER = {K. W. Roggenkamp},
}
@article {MR0357503,
AUTHOR = {Bergman, George M.},
TITLE = {Coproducts and some universal ring constructions},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {200},
YEAR = {1974},
PAGES = {33--88},
MRCLASS = {16A64},
MRNUMBER = {MR0357503 (50 \#9971)},
MRREVIEWER = {K. W. Roggenkamp},
LOCALPDF = "../../PAPERS/bergman1.pdf",
}
@article {MR531320,
AUTHOR = {Bergman, George M. and Dicks, Warren},
TITLE = {Universal derivations and universal ring constructions},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {79},
YEAR = {1978},
NUMBER = {2},
PAGES = {293--337},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {16A72},
MRNUMBER = {MR531320 (81b:16024)},
MRREVIEWER = {B. Stenstr{\"o}m},
}
@book{bergmanbook,
AUTHOR = {Bergman, George M.},
TITLE = {Invitation to General Algebra and Universal Constructions},
}
@book {MR2273508,
AUTHOR = {Berline, Nicole and Getzler, Ezra and Vergne, Mich{\`e}le},
TITLE = {Heat kernels and {D}irac operators},
SERIES = {Grundlehren Text Editions},
NOTE = {Corrected reprint of the 1992 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {x+363},
ISBN = {3-540-20062-2},
MRCLASS = {58J35 (35K05 35Q40 47G30 58J60)},
MRNUMBER = {MR2273508 (2007m:58033)},
}
@incollection {MR2039984,
AUTHOR = {Atiyah, M. F. and Berndt, J{\"u}rgen},
TITLE = {Projective planes, {S}everi varieties and spheres},
BOOKTITLE = {Surveys in differential geometry, {V}ol.\ {VIII} ({B}oston,
{MA}, 2002)},
SERIES = {Surv. Differ. Geom., VIII},
PAGES = {1--27},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2003},
MRCLASS = {53C30 (32M15 57S25)},
MRNUMBER = {MR2039984 (2005b:53080)},
MRREVIEWER = {Andrea Spiro},
}
@article{bet,
AUTHOR={Betley, Stan},
TITLE={Algebraic K-theory of parametrized endomorphisms},
}
@paper {MR2797019,
TITLE = {Mathematical lives},
AUTHOR = {Bartocci, Claudio and Betti, Renato and Guerraggio, Angelo and
Lucchetti, Roberto},
NOTE = {Protagonists of the twentieth century from Hilbert to Wiles,
Translated from the 2007 Italian original by Kim Williams},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2011},
PAGES = {xiv+238},
ISBN = {978-3-642-13605-4},
MRCLASS = {01-06 (01A70)},
MRNUMBER = {2797019 (2011k:01001)},
}
@article{Beutelspacher1990312,
title = "How to communicate efficiently",
journal = "Journal of Combinatorial Theory, Series A",
volume = "54",
number = "2",
pages = "312 - 316",
year = "1990",
note = "",
issn = "0097-3165",
doi = "DOI: 10.1016/0097-3165(90)90039-Y",
url = "http://www.sciencedirect.com/science/article/B6WHS-4D7D0PS-TD/2/5b362715a36f2bc40108fdf22bb8b7c5",
author = "Beutelspacher, Albrecht",
}
@book {MR1629468,
AUTHOR = {Beutelspacher, Albrecht and Rosenbaum, Ute},
TITLE = {Projective geometry: from foundations to applications},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1998},
PAGES = {x+258},
ISBN = {0-521-48277-1; 0-521-48364-6},
MRCLASS = {51-01 (94A60 94B05)},
MRNUMBER = {1629468 (99f:51001)},
MRREVIEWER = {Giorgio Faina},
}
@book {MR715779,
AUTHOR = {Bieri, Robert},
TITLE = {Homological dimension of discrete groups},
SERIES = {Queen Mary College Mathematical Notes},
EDITION = {Second},
PUBLISHER = {Queen Mary College, Department of Pure Mathematics, London},
YEAR = {1981},
PAGES = {iv+198},
MRCLASS = {20J05 (18G20 57P10)},
MRNUMBER = {715779},
}
@article {MR1815219,
AUTHOR = {Bigelow, Stephen},
TITLE = {Braid groups are linear},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {14},
YEAR = {2001},
NUMBER = {2},
PAGES = {471--486 (electronic)},
ISSN = {0894-0347},
MRCLASS = {20F36 (57M07)},
MRNUMBER = {1815219 (2002a:20043)},
MRREVIEWER = {Darryl McCullough},
DOI = {10.1090/S0894-0347-00-00361-1},
URL = {http://dx.doi.org/10.1090/S0894-0347-00-00361-1},
}
@article{spiros1, AUTHOR={Adams-Florou, Spiros}, TITLE={A
controlled local-global theorem for simplicial complexes},
}
@incollection {MR2024629,
AUTHOR = {Bigelow, Stephen},
TITLE = {The {L}awrence-{K}rammer representation},
BOOKTITLE = {Topology and geometry of manifolds ({A}thens, {GA}, 2001)},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME = {71},
PAGES = {51--68},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2003},
MRCLASS = {20F36 (20C08)},
MRNUMBER = {2024629 (2004j:20077)},
MRREVIEWER = {Luisa Paoluzzi},
}
@book {MR879117,
AUTHOR = {Biggs, Norman L. and Lloyd, E. Keith and Wilson, Robin J.},
TITLE = {Graph theory. 1736--1936},
EDITION = {Second},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1986},
PAGES = {xii+239},
ISBN = {0-19-853916-9},
MRCLASS = {01A60 (01A75 05-03 05Cxx)},
MRNUMBER = {879117 (88e:01035)},
MRREVIEWER = {W. T. Tutte},
}
@article {MR853982,
AUTHOR = {Bismut, Jean-Michel and Freed, Daniel S.},
TITLE = {The analysis of elliptic families. {I}. {M}etrics and
connections on determinant bundles},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {106},
YEAR = {1986},
NUMBER = {1},
PAGES = {159--176},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G11 (58G10 58G32)},
MRNUMBER = {MR853982 (88h:58110a)},
MRREVIEWER = {Ezra Getzler},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104115586},
}
@article {MR861886,
AUTHOR = {Bismut, Jean-Michel and Freed, Daniel S.},
TITLE = {The analysis of elliptic families. {II}. {D}irac operators,
eta invariants, and the holonomy theorem},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {107},
YEAR = {1986},
NUMBER = {1},
PAGES = {103--163},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G11 (58G10 58G32)},
MRNUMBER = {MR861886 (88h:58110b)},
MRREVIEWER = {Ezra Getzler},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104115934},
}
@incollection {MR1373690,
AUTHOR = {Bj{\"o}rner, Anders},
TITLE = {Topological methods},
BOOKTITLE = {Handbook of combinatorics, {V}ol.\ 1,\ 2},
PAGES = {1819--1872},
PUBLISHER = {Elsevier},
ADDRESS = {Amsterdam},
YEAR = {1995},
MRCLASS = {52B05 (05B35 05E25 52B40)},
MRNUMBER = {MR1373690 (96m:52012)},
MRREVIEWER = {Andrew Vince},
}
@article {MR1970978,
AUTHOR = {Bj{\"o}rner, Anders},
TITLE = {Nerves, fibers and homotopy groups},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {102},
YEAR = {2003},
NUMBER = {1},
PAGES = {88--93},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {55Q99 (55P10)},
MRNUMBER = {MR1970978 (2004a:55018)},
MRREVIEWER = {Rade {\v{Z}}ivaljevi{\'c}},
}
@article {MR2556456,
AUTHOR = {Bj{\"o}rner, Anders and Tancer, Martin},
TITLE = {Note: {C}ombinatorial {A}lexander duality---a short and
elementary proof},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {42},
YEAR = {2009},
NUMBER = {4},
PAGES = {586--593},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {55U30 (05E45)},
MRNUMBER = {2556456 (2010m:55021)},
DOI = {10.1007/s00454-008-9102-x},
URL = {http://dx.doi.org/10.1007/s00454-008-9102-x},
}
@article{blagojevic_symmetric_2004,
title = {Symmetric products of surfaces; a unifying theme for topology and physics},
url = {http://arxiv.org/abs/math/0408417},
abstract = {This is a review paper about symmetric products of spaces {\$SP{\textasciicircum}n(X):=} {X{\textasciicircum}n/S\_n\$.} We focus our attention on the symmetric products of 2-manifolds and make a journey through selected topics of algebraic topology, algebraic geometry, mathematical physics, theoretical mechanics etc. where these objects play an important role, demonstrating along the way the fundamental unity of diverse fields of physics and mathematics.},
journal = {math/0408417},
author = {Pavle Blagojevic and Vladimir Grujic and Rade Zivaljevic},
month = aug,
year = {2004},
note = {Proceedings of Summer school in modern mathematical physics {(B.} Dragovic, B. Sazdovic, eds.) {SFIN,} {XV} {(A3),} Institute of Physics, Belgrade 2002},
keywords = {{52C35,} {55S15,} Mathematics - Algebraic Topology, Mathematics - Combinatorics},
}
@article {MR0038654,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {I}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {53},
YEAR = {1951},
PAGES = {161--205},
MRCLASS = {56.0X},
MRNUMBER = {MR0038654 (12,435e)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0044836,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {II}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {55},
YEAR = {1952},
PAGES = {192--201},
MRCLASS = {56.0X},
MRNUMBER = {MR0044836 (13,485f)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0058971,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {III}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {58},
YEAR = {1953},
PAGES = {409--417},
MRCLASS = {56.0X},
MRNUMBER = {MR0058971 (15,458b)},
MRREVIEWER = {J. Dugundji},
}
@article {MR1362791,
AUTHOR = {Blanchet, C. and Habegger, N. and Masbaum, G. and Vogel, Pierre},
TITLE = {Topological quantum field theories derived from the {K}auffman
bracket},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {4},
PAGES = {883--927},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N10 (57M25 81T40)},
MRNUMBER = {MR1362791 (96i:57015)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1016/0040-9383(94)00051-4},
URL = {http://dx.doi.org/10.1016/0040-9383(94)00051-4},
}
@article {MR1387228,
AUTHOR = {Blanchet, C. and Masbaum, G.},
TITLE = {Topological quantum field theories for surfaces with spin
structure},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {82},
YEAR = {1996},
NUMBER = {2},
PAGES = {229--267},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57M25 (16W30 57M30 81R50)},
MRNUMBER = {1387228 (97e:57005)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1215/S0012-7094-96-08211-3},
URL = {http://dx.doi.org/10.1215/S0012-7094-96-08211-3},
}
@article {MR0040658,
AUTHOR = {Blanchfield, R. C. and Fox, Ralph H.},
TITLE = {Invariants of self-linking},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {53},
YEAR = {1951},
PAGES = {556--564},
MRCLASS = {56.0X},
MRNUMBER = {MR0040658 (12,730b)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0085512,
AUTHOR = {Blanchfield, R. C.},
TITLE = {Intersection theory of manifolds with operators with
applications to knot theory},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {65},
YEAR = {1957},
PAGES = {340--356},
MRCLASS = {55.0X},
MRNUMBER = {MR0085512 (19,53a)},
MRREVIEWER = {R. H. Fox},
}
@article {MR1456314,
AUTHOR = {Blanl{\oe}il, Vincent and Michel, Francoise},
TITLE = {A theory of cobordism for non-spherical links},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {72},
YEAR = {1997},
NUMBER = {1},
PAGES = {30--51},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45 (14B05 32S55 57Q60)},
MRNUMBER = {1456314 (98h:57049)},
MRREVIEWER = {J. P. Levine},
DOI = {10.1007/PL00000365},
URL = {http://dx.doi.org/10.1007/PL00000365},
}
@article {MR1656167,
AUTHOR = {Blanl{\oe}il, Vincent},
TITLE = {Cobordisme des entrelacs},
JOURNAL = {Ann. Fac. Sci. Toulouse Math. (6)},
FJOURNAL = {Annales de la Facult\'e des Sciences de Toulouse.
Math\'ematiques. S\'erie 6},
VOLUME = {7},
YEAR = {1998},
NUMBER = {2},
PAGES = {185--205},
ISSN = {0240-2963},
MRCLASS = {57Q45 (57N70)},
MRNUMBER = {1656167 (2000a:57061)},
MRREVIEWER = {Sergej V. Matveev},
URL = {http://www.numdam.org/item?id=AFST_1998_6_7_2_185_0},
}
@incollection {MR1819628,
AUTHOR = {Blanl{\oe}il, Vincent},
TITLE = {Cobordism of non-spherical knots},
BOOKTITLE = {Singularities---{S}apporo 1998},
SERIES = {Adv. Stud. Pure Math.},
VOLUME = {29},
PAGES = {21--30},
PUBLISHER = {Kinokuniya},
ADDRESS = {Tokyo},
YEAR = {2000},
MRCLASS = {57Q45 (32S55)},
MRNUMBER = {1819628 (2002c:57043)},
MRREVIEWER = {Lee Rudolph},
}
@article {MR1926861,
AUTHOR = {Blanl{\oe}il, Vincent and Saeki, Osamu},
TITLE = {A theory of concordance for non-spherical 3-knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {354},
YEAR = {2002},
NUMBER = {10},
PAGES = {3955--3971 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {1926861 (2003i:57037)},
MRREVIEWER = {J. P. Levine},
DOI = {10.1090/S0002-9947-02-03024-6},
URL = {http://dx.doi.org/10.1090/S0002-9947-02-03024-6},
}
@article {MR2195992,
AUTHOR = {Blanl{\oe}il, Vincent and Saeki, Osamu},
TITLE = {Cobordisme des surfaces plong\'ees dans {$S^4$}},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {42},
YEAR = {2005},
NUMBER = {4},
PAGES = {751--765},
ISSN = {0030-6126},
CODEN = {OJMAA7},
MRCLASS = {57N10 (57N70)},
MRNUMBER = {2195992 (2007m:57023)},
URL = {http://projecteuclid.org/getRecord?id=euclid.ojm/1153494550},
}
@article {blan,
AUTHOR = {Blanl{\oe}il, Vincent and Michel, Francoise},
TITLE = {Cobordism and concordance of knots},
YEAR = {2007},
}
@article {MR545605,
AUTHOR = {Blanton, John D. and McCrory, Clint},
TITLE = {An axiomatic proof of {S}tiefel's conjecture},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {77},
YEAR = {1979},
NUMBER = {3},
PAGES = {409--414},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55R40 (57R20)},
MRNUMBER = {MR545605 (80k:55052)},
MRREVIEWER = {E. C. Turner},
DOI = {10.2307/2042195},
URL = {http://dx.doi.org/10.2307/2042195},
}
@book {MR771117,
AUTHOR = {Booss, Bernhelm and Bleecker, D. D.},
TITLE = {Topology and analysis},
SERIES = {Universitext},
NOTE = {The Atiyah{\mhy{S}}inger index formula and gauge-theoretic
physics,
Translated from the German by Bleecker and A. Mader},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1985},
PAGES = {xvi+451},
ISBN = {0-387-96112-7},
MRCLASS = {58G10},
MRNUMBER = {771117 (86g:58129)},
}
@article {MR0108467,
AUTHOR = {van der Blij, F.},
TITLE = {An invariant of quadratic forms mod {$8$}},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 62 = Indag. Math.},
VOLUME = {21},
YEAR = {1959},
PAGES = {291--293},
MRCLASS = {10.00},
MRNUMBER = {MR0108467 (21 \#7183)},
MRREVIEWER = {W. Ledermann},
}
@article {MR1507894,
AUTHOR = {Bliss, Gilbert Ames},
TITLE = {Generalizations of {G}eodesic {C}urvature and a {T}heorem of
{G}auss {C}oncerning {G}eodesic {T}riangles},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {37},
YEAR = {1915},
NUMBER = {1},
PAGES = {1--18},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {Contributed Item},
MRNUMBER = {1507894},
DOI = {10.2307/2370251},
URL = {http://dx.doi.org/10.2307/2370251},
}
@article{math.AT/0505512,
title = {{Continuous functors as a model for the equivariant stable
homotopy category}},
author = {Andrew J. Blumberg},
eprint = {arXiv:math.AT/0505512},
}
@article {MR0221503,
AUTHOR = {Boardman, J. M. and Steer, B.},
TITLE = {On {H}opf invariants},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {42},
YEAR = {1967},
PAGES = {180--221},
MRCLASS = {55.40},
MRNUMBER = {MR0221503 (36 \#4555)},
MRREVIEWER = {Joel M. Cohen},
}
@book {MR0420609,
AUTHOR = {Boardman, J. M. and Vogt, R. M.},
TITLE = {Homotopy invariant algebraic structures on topological spaces},
SERIES = {Lecture Notes in Mathematics, Vol. 347},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1973},
PAGES = {x+257},
MRCLASS = {55D35},
MRNUMBER = {MR0420609 (54 \#8623a)},
MRREVIEWER = {J. Stasheff},
}
@article{adler_persistent_2010,
title = {Persistent Homology for Random Fields and Complexes},
url = {http://arxiv.org/abs/1003.1001},
abstract = {We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices, and, in most detail, the algebraic topology of the excursion sets of random fields.},
journal = {1003.1001},
author = {Robert J Adler and Omer Bobrowski and Matthew S Borman and Eliran Subag and Shmuel Weinberger},
month = mar,
year = {2010},
keywords = {{60G15,} {55N35} {(Primary)} {60G55,} {62H35} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - Probability},
}
@article {MR1825661,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul
and Klassen, Eric},
TITLE = {Gauge theoretic invariants of {D}ehn surgeries on knots},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {5},
YEAR = {2001},
PAGES = {143--226 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R57 (58J28 58J30)},
MRNUMBER = {MR1825661 (2002e:57041)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.2140/gt.2001.5.143},
URL = {http://dx.doi.org/10.2140/gt.2001.5.143},
}
@incollection {MR2114487,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The {C}alder\'on projector for the odd signature operator and
spectral flow calculations in 3-dimensional topology},
BOOKTITLE = {Spectral geometry of manifolds with boundary and decomposition
of manifolds},
SERIES = {Contemp. Math.},
VOLUME = {366},
PAGES = {125--150},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2005},
MRCLASS = {58J30 (57M27 58J28)},
MRNUMBER = {MR2114487 (2005k:58039)},
MRREVIEWER = {Tatyana E. Foth},
}
@article {MR2191768,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The integer valued {${\rm SU}(3)$} {C}asson invariant for
{B}rieskorn spheres},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {71},
YEAR = {2005},
NUMBER = {1},
PAGES = {23--83},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57M27 (57R57 58J30)},
MRNUMBER = {MR2191768 (2006j:57026)},
MRREVIEWER = {Nikolai N. Saveliev},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1143644312},
}
@article {MR2505128,
AUTHOR = {Boden, Hans U. and Himpel, Benjamin},
TITLE = {Splitting the spectral flow and the {${\rm SU}(3)$} {C}asson
invariant for spliced sums},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {9},
YEAR = {2009},
NUMBER = {2},
PAGES = {865--902},
ISSN = {1472-2747},
MRCLASS = {58J30 (57Mxx 57Rxx)},
MRNUMBER = {MR2505128},
DOI = {10.2140/agt.2009.9.865},
URL = {http://dx.doi.org/10.2140/agt.2009.9.865},
}
@book {MR2522946,
AUTHOR = {Bonahon, Francis},
TITLE = {Low-dimensional geometry},
SERIES = {Student Mathematical Library},
VOLUME = {49},
NOTE = {From Euclidean surfaces to hyperbolic knots,
IAS/Park City Mathematical Subseries},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2009},
PAGES = {xvi+384},
ISBN = {978-0-8218-4816-6},
MRCLASS = {57M50 (57-01 57M25)},
MRNUMBER = {2522946 (2011f:57024)},
MRREVIEWER = {Carlo Petronio},
}
@book {MR0478242,
AUTHOR = {Booss, Bernhelm},
TITLE = {Topologie und {A}nalysis},
NOTE = {Einf{\"u}hring in die Atiyah-Singer-Indexformel,
Hochschultext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1977},
PAGES = {xiv+352},
ISBN = {3-540-08451-7},
MRCLASS = {58G10},
MRNUMBER = {MR0478242 (57 \#17727)},
MRREVIEWER = {Harold Donnelly},
}
@article {MR1630119,
AUTHOR = {Booss, Bernhelm and Furutani, Kenro},
TITLE = {The {M}aslov index: a functional analytical definition and the
spectral flow formula},
JOURNAL = {Tokyo J. Math.},
FJOURNAL = {Tokyo Journal of Mathematics},
VOLUME = {21},
YEAR = {1998},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0387-3870},
MRCLASS = {58G10 (47B25 58G20)},
MRNUMBER = {MR1630119 (99e:58172)},
MRREVIEWER = {Liviu I. Nicolaescu},
}
@book {MR771117,
AUTHOR = {Booss, Bernhelm and Bleecker, D. D.},
TITLE = {Topology and analysis},
SERIES = {Universitext},
NOTE = {The Atiyah{\mhy{S}}inger index formula and gauge-theoretic
physics,
Translated from the German by Bleecker and A. Mader},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1985},
PAGES = {xvi+451},
ISBN = {0-387-96112-7},
MRCLASS = {58G10},
MRNUMBER = {771117 (86g:58129)},
}
@book {MR1291599,
AUTHOR = {Borceux, Francis},
TITLE = {Handbook of categorical algebra. 1},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {50},
NOTE = {Basic category theory},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {xvi+345},
ISBN = {0-521-44178-1},
MRCLASS = {18-02 (18Axx)},
MRNUMBER = {1291599 (96g:18001a)},
MRREVIEWER = {Martin Hyland},
}
@book {MR1313497,
AUTHOR = {Borceux, Francis},
TITLE = {Handbook of categorical algebra. 2},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {50},
NOTE = {Categories and structures},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {xvi+443},
ISBN = {0-521-44178-1},
MRCLASS = {18-02 (18Axx)},
MRNUMBER = {1291599 (96g:18001a)},
MRREVIEWER = {Martin Hyland},
}
@book {MR1315049,
AUTHOR = {Borceux, Francis},
TITLE = {Handbook of categorical algebra. 3},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {50},
NOTE = {Categories of sheaves},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {xvi+345},
ISBN = {0-521-44178-1},
MRCLASS = {18-02 (18Axx)},
MRNUMBER = {1291599 (96g:18001a)},
MRREVIEWER = {Martin Hyland},
}
@article {MR0058213,
AUTHOR = {Borel, A. and Serre, Jean-Pierre},
TITLE = {Groupes de {L}ie et puissances r\'eduites de {S}teenrod},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {75},
YEAR = {1953},
PAGES = {409--448},
ISSN = {0002-9327},
MRCLASS = {56.0X},
MRNUMBER = {0058213 (15,338b)},
MRREVIEWER = {H. Samelson},
}
@article {MR0102800,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {I}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {80},
YEAR = {1958},
PAGES = {458--538},
ISSN = {0002-9327},
MRCLASS = {55.00 (22.00)},
MRNUMBER = {MR0102800 (21 \#1586)},
MRREVIEWER = {R. Bott},
}
@article {MR0110105,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {II}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {81},
YEAR = {1959},
PAGES = {315--382},
ISSN = {0002-9327},
MRCLASS = {57.00},
MRNUMBER = {MR0110105 (22 \#988)},
MRREVIEWER = {R. Bott},
}
@book {MR0116341,
AUTHOR = {Borel, A.},
TITLE = {Seminar on transformation groups},
SERIES = {With contributions by G. Bredon, E. E. Floyd, D. Montgomery,
R. Palais. Annals of Mathematics Studies, No. 46},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1960},
PAGES = {vii+245},
MRCLASS = {55.00},
MRNUMBER = {0116341 (22 \#7129)},
MRREVIEWER = {P. A. Smith},
}
@article {MR0120664,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {III}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {82},
YEAR = {1960},
PAGES = {491--504},
ISSN = {0002-9327},
MRCLASS = {57.00},
MRNUMBER = {MR0120664 (22 \#11413)},
MRREVIEWER = {R. Bott},
}
@book {MR788171,
AUTHOR = {Borel, A.},
TITLE = {Intersection cohomology},
SERIES = {Progress in Mathematics},
VOLUME = {50},
NOTE = {Notes on the seminar held at the University of Bern, Bern,
1983,
Swiss Seminars},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1984},
PAGES = {x+234},
ISBN = {0-8176-3274-3},
MRCLASS = {32C42 (14F99 32C40 55N35 57N65 58A35)},
MRNUMBER = {MR788171 (88d:32024)},
MRREVIEWER = {J. S. Joel},
}
@book {MR0195803,
AUTHOR = {Borevich, A. I. and Shafarevich, I. R.},
TITLE = {Number theory},
SERIES = {Translated from the Russian by Newcomb Greenleaf. Pure and
Applied Mathematics, Vol. 20},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1966},
PAGES = {x+435},
MRCLASS = {10.00},
MRNUMBER = {MR0195803 (33 \#4001)},
}
@article{adler_persistent_2010,
title = {Persistent Homology for Random Fields and Complexes},
url = {http://arxiv.org/abs/1003.1001},
abstract = {We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices, and, in most detail, the algebraic topology of the excursion sets of random fields.},
journal = {1003.1001},
author = {Robert J Adler and Omer Bobrowski and Matthew S Borman and Eliran Subag and Shmuel Weinberger},
month = mar,
year = {2010},
keywords = {{60G15,} {55N35} {(Primary)} {60G55,} {62H35} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - Probability},
}
@article {bf1,
author = {Borodzik, Maciej and Friedl, Stefan},
title = {The unknotting number and classical invariants I},
year = {2012},
}
@article {bf2,
author = {Borodzik, Maciej and Friedl, Stefan},
title = {The unknotting number and classical invariants I},
year = {2012},
}
@article{borodzik,
title = {A rho-invariant of iterated torus knots},
author = {Maciej Borodzik},
eprint = {arXiv:math.AT/0906.3660},
}
@article{borodzik2,
title = {Morse theory for plane algebraic curves},
author = {Maciej Borodzik},
eprint = {http://www.mimuw.edu.pl/~mcboro/pliki/artykuly/signature.pdf},
}
@article{borodzik_hodge-type_2010,
title = {Hodge-type structures as link invariants},
url = {http://arxiv.org/abs/1005.2084},
abstract = {Based on some analogies with the Hodge theory of isolated hypersurface singularities, we define Hodge-type numerical invariants (called H-numbers) of any, not necessarily algebraic, link in {\$S{\textasciicircum}3\$.} They contain the same information as the (normalized) real Seifert matrix. We study their basic properties, we express the {Tristram-Levine} signatures and the higher order Alexander polynomial in terms of them. Motivated by singularity theory, we also introduce the spectrum of the link (determined from these H-numbers), and we establish some semicontinuity properties for it.},
journal = {1005.2084},
author = {Maciej Borodzik and Andras Nemethi},
month = may,
year = {2010},
keywords = {{57M25,} {32S25,} {14D07,} {14H20,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article{borodzik_signatures_2010,
title = {On the signatures of torus knots},
url = {http://arxiv.org/abs/1002.4500},
abstract = {We study properties of the signature function of the torus knot {\$T\_{p,q}\$.} First we provide a very elementary proof of the formula for the integral of the signatures over the circle. We obtain also a closed formula for the {Tristram--Levine} signature of a torus knot in terms of Dedekind sums.},
journal = {1002.4500},
author = {Maciej Borodzik and Krzysztof Oleszkiewicz},
month = feb,
year = {2010},
keywords = {{57M25,} Mathematics - Geometric Topology},
}
@article{borodzik_spectrum_2011,
title = {Spectrum of plane curves via knot theory},
url = {http://arxiv.org/abs/1101.5471},
abstract = {We use topological methods to study various semicontinuity properties of spectra of singular points of plane algebraic curves and of polynomials in two variables at infinity. Using Seifert forms and the {Tristram--Levine} signatures of links, we reprove (in a slightly weaker version) a result obtained by Steenbrink and Varchenko on semicontinuity of spectrum at infinity. We also relate the spectrum at infinity of a polynomial with spectra of singular points of a chosen fiber.},
journal = {1101.5471},
author = {Maciej Borodzik and Andras Nemethi},
month = jan,
year = {2011},
keywords = {{32S55,} {14B07,} {14D07,} {14H50,} {32G20,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article{59.0560.01,
author="Borsuk, K.",
title="{Drei S\"atze \"uber die $n$-dimensionale euklidische Sph\"are.}",
journal="Fundamenta ",
volume="20",
pages="177-190",
year="1933",
}
@article {MR0028019,
AUTHOR = {Borsuk, K.},
TITLE = {On the imbedding of systems of compacta in simplicial
complexes},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {35},
YEAR = {1948},
PAGES = {217--234},
ISSN = {0016-2736},
MRCLASS = {56.0X},
MRNUMBER = {MR0028019 (10,391b)},
MRREVIEWER = {S. Eilenberg},
}
@article {borsuk1,
AUTHOR = {Borsuk, K.},
TITLE = {Sur les retractes},
JOURNAL = {Fund. Math.},
VOLUME = {17},
YEAR = {1931},
PAGES = {152-170},
}
@article {borsuk2,
AUTHOR = {Borsuk, K.},
TITLE = {Ueber eine Klasse von lokal zusammenhaengenden Rauemen},
JOURNAL = {Fund. Math.},
VOLUME = {19},
YEAR = {1932},
PAGES = {220-240},
}
@article {borsuk3,
AUTHOR = {Borsuk, K.},
TITLE = {Zur kombinatorischen Eigenschaften der Retrakte},
JOURNAL = {Fund. Math.},
VOLUME = {21},
YEAR = {1933},
PAGES = {91-98},
}
@article {MR0064399,
AUTHOR = {Bott, Raoul},
TITLE = {Nondegenerate critical manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {60},
YEAR = {1954},
PAGES = {248--261},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0064399 (16,276f)},
MRREVIEWER = {E. H. Spanier},
}
@article {MR0090730,
AUTHOR = {Bott, Raoul},
TITLE = {On the iteration of closed geodesics and the {S}turm
intersection theory},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {9},
YEAR = {1956},
PAGES = {171--206},
ISSN = {0010-3640},
MRCLASS = {34.0X},
MRNUMBER = {MR0090730 (19,859f)},
MRREVIEWER = {H. Samelson},
}
@article {MR0102804,
AUTHOR = {Bott, Raoul and Milnor, John W.},
TITLE = {On the parallelizability of the spheres},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {64},
YEAR = {1958},
PAGES = {87--89},
MRCLASS = {55.00},
MRNUMBER = {MR0102804 (21 \#1590)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0110104,
AUTHOR = {Bott, Raoul},
TITLE = {The stable homotopy of the classical groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {70},
YEAR = {1959},
PAGES = {313--337},
ISSN = {0003-486X},
MRCLASS = {57.00},
MRNUMBER = {0110104 (22 \#987)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0167985,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Shapiro, Arnold},
TITLE = {Clifford modules},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1964},
NUMBER = {suppl. 1},
PAGES = {3--38},
ISSN = {0040-9383},
MRCLASS = {57.30 (55.30)},
MRNUMBER = {0167985 (29 \#5250)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0178470,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {On the periodicity theorem for complex vector bundles},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {112},
YEAR = {1964},
PAGES = {229--247},
ISSN = {0001-5962},
MRCLASS = {55.50 (57.30)},
MRNUMBER = {MR0178470 (31 \#2727)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0185607,
AUTHOR = {Bott, Raoul and Chern, S. S.},
TITLE = {Hermitian vector bundles and the equidistribution of the
zeroes of their holomorphic sections},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {114},
YEAR = {1965},
PAGES = {71--112},
ISSN = {0001-5962},
MRCLASS = {32.60 (57.30)},
MRNUMBER = {0185607 (32 \#3070)},
MRREVIEWER = {Phillip A. Griffiths},
}
@article {MR0212836,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {A {L}efschetz fixed point formula for elliptic complexes. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {86},
YEAR = {1967},
PAGES = {374--407},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0212836 (35 \#3701)},
MRREVIEWER = {R. S. Palais},
}
@article {MR0232406,
AUTHOR = {Atiyah, M. F. and Bott, Raoul},
TITLE = {A {L}efschetz fixed point formula for elliptic complexes.
{II}. {A}pplications},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {88},
YEAR = {1968},
PAGES = {451--491},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0232406 (38 \#731)},
MRREVIEWER = {R. S. Palais},
}
@book {MR0258020,
AUTHOR = {Bott, Raoul},
TITLE = {Lectures on {$K(X)$}},
SERIES = {Mathematics Lecture Note Series},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1969},
PAGES = {x+203 pp. paperbound},
MRCLASS = {55.30},
MRNUMBER = {0258020 (41 \#2667)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0345115,
AUTHOR = {Bott, Raoul},
TITLE = {On the {C}hern-{W}eil homomorphism and the continuous
cohomology of {L}ie-groups},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {11},
YEAR = {1973},
PAGES = {289--303},
ISSN = {0001-8708},
MRCLASS = {57D20 (57D30 57F10)},
MRNUMBER = {0345115 (49 \#9854)},
MRREVIEWER = {D. B. Fuks},
}
@article {MR0650828,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Patodi, V. K.},
TITLE = {On the heat equation and the index theorem},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {19},
YEAR = {1973},
PAGES = {279--330},
ISSN = {0020-9910},
MRCLASS = {58G10 (35K05)},
MRNUMBER = {MR0650828 (58 \#31287)},
}
@article {MR1001450,
AUTHOR = {Bott, Raoul},
TITLE = {Morse theory indomitable},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {68},
YEAR = {1988},
PAGES = {99--114 (1989)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {58E05 (57R45)},
MRNUMBER = {MR1001450 (90f:58027)},
MRREVIEWER = {Dorin Andrica},
}
@article {MR663786,
AUTHOR = {Bott, Raoul},
TITLE = {Lectures on {M}orse theory, old and new},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {7},
YEAR = {1982},
NUMBER = {2},
PAGES = {331--358},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {58E05 (58E10 81E10)},
MRNUMBER = {MR663786 (84m:58026a)},
MRREVIEWER = {Arthur Greenspoon},
}
@book{botttu,
AUTHOR={Bott, Raoul and Tu, Loring W.},
TITLE={Differential forms in algebraic topology},
}
@book {MR1726779,
AUTHOR = {Bourbaki, Nicolas},
TITLE = {General topology. {C}hapters 1--4},
SERIES = {Elements of Mathematics (Berlin)},
NOTE = {Translated from the French,
Reprint of the 1989 English translation},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1998},
PAGES = {vii+437},
ISBN = {3-540-64241-2},
MRCLASS = {54-02 (00A05 54-01)},
MRNUMBER = {MR1726779 (2000h:54001a)},
}
@book {MR1726780,
AUTHOR = {Bourbaki, Nicolas},
TITLE = {General topology. {C}hapters 5--10},
SERIES = {Elements of Mathematics (Berlin)},
NOTE = {Translated from the French,
Reprint of the 1989 English translation},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1998},
PAGES = {vii+437},
ISBN = {3-540-64241-2},
MRCLASS = {54-02 (00A05 54-01)},
MRNUMBER = {MR1726779 (2000h:54001a)},
}
@article {MR0380779,
AUTHOR = {Bousfield, A. K.},
TITLE = {The localization of spaces with respect to homology},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {14},
YEAR = {1975},
PAGES = {133--150},
ISSN = {0040-9383},
MRCLASS = {55D05},
MRNUMBER = {MR0380779 (52 \#1676)},
MRREVIEWER = {M. Mimura},
}
@article {MR1481817,
AUTHOR = {Bousfield, A. K.},
TITLE = {Homotopical localizations of spaces},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {119},
YEAR = {1997},
NUMBER = {6},
PAGES = {1321--1354},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {55P60},
MRNUMBER = {MR1481817 (98m:55009)},
MRREVIEWER = {Dirk Scevenels},
}
@article {MR1362827,
AUTHOR = {Austin, D. M. and Braam, P. J.},
TITLE = {Morse-{B}ott theory and equivariant cohomology},
BOOKTITLE = {The {F}loer memorial volume},
SERIES = {Progr. Math.},
VOLUME = {133},
PAGES = {123--183},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1995},
MRCLASS = {57R70 (55N35 55N91 58E05)},
MRNUMBER = {MR1362827 (96i:57037)},
MRREVIEWER = {Dave Auckly},
}
@article {MR1502608,
AUTHOR = {Brahana, H. R.},
TITLE = {Systems of circuits on two-dimensional manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {23},
YEAR = {1921},
NUMBER = {2},
PAGES = {144--168},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {Contributed Item},
MRNUMBER = {1502608},
DOI = {10.2307/1968030},
URL = {http://dx.doi.org/10.2307/1968030},
}
@book {MR2298917,
AUTHOR = {Asselmeyer-Maluga, Torsten and Brans, Carl H.},
TITLE = {Exotic smoothness and physics},
NOTE = {Differential topology and spacetime models},
PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
YEAR = {2007},
PAGES = {xiv+322},
ISBN = {978-981-02-4195-7; 981-02-4195-X},
MRCLASS = {57R55 (53C80 81T13)},
MRNUMBER = {MR2298917 (2007m:57036)},
MRREVIEWER = {Vicente Mu{\~n}oz},
}
@article {MR2137471,
AUTHOR = {Barthel, Gottfried and Brasselet, Jean-Paul and Fieseler,
Karl-Heinz and Kaup, Ludger},
TITLE = {Combinatorial duality and intersection product: a direct
approach},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {57},
YEAR = {2005},
NUMBER = {2},
PAGES = {273--292},
ISSN = {0040-8735},
CODEN = {TOMJAM},
MRCLASS = {14F43 (52B99)},
MRNUMBER = {2137471 (2006a:14031)},
MRREVIEWER = {Boris J. Kazarnovski{\u\i}},
URL = {http://projecteuclid.org/getRecord?id=euclid.tmj/1119888340},
}
@article {MR0002351,
AUTHOR = {Braun, Hel},
TITLE = {Geschlechter quadratischer {F}ormen},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {182},
YEAR = {1940},
PAGES = {32--49},
ISSN = {0075-4102},
MRCLASS = {10.0X},
MRNUMBER = {0002351 (2,36f)},
MRREVIEWER = {A. E. Ross},
}
@article{54.0373.01,
author="Brauner, K.",
title="{Zur Geometrie der Funktionen zweier komplexer Ver\"anderlicher. II: Das
Verhalten der Funktionen in der Umgebung ihrer Verzweigungsstellen. III:
Klassifikation der Singularit\"aten algebroider Kurven. IV: Die
Verzweigungsgruppen.}",
language="German",
journal="Abhandlungen Hamburg ",
volume="6",
pages="1-55",
year="1928",
doi={10.1007/BF02940600},
abstract="{Die Verzweigungsstellen einer algebraischen Funktion von $k$
unabh\"angigen Variablen $x_1,\dots,x_k$ sind die Nullstellen der
Diskriminante $D(x_1,\dots,x_k)=0$. Nach {\it Wirtinger} unterscheidet man
Verzweigungsstellen erster und zweiter Art je nachdem die
``Diskriminantenmannigfaltigkeit'' in diesem Punkte verzweigt ist oder
nicht. Aus der Entwicklung von $z$ f\"ur die Umgebung einer
Verzweigungastelle erster Art ergibt sich unmittelbar der zyklische
Charakter der zugeh\"origen Verzweigungsgruppe. An Hand zweier Beispiele von
Funktionen zweier Ver\"anderlichen zeigt Verf. das durchaus andere Verhalten
der Funktionen in der Umgebung einer Verzweigungsstelle zweiter Art und
f\"uhrt durch seine Beispiele in seine Methode ein. Mit Hilfe einer
stereographischen Projektion werden die Schnittkurven der
Diskriminantenmannigfaltigkeiten mit einer Hyperkugel in einen geeigneten
dreidimensionalen Raum projiziert. Die stereographischen Bildkurven ergeben
sich dabei als einfache oder verkettete Torusknoten oder Schlauchknoten,
deren Achsen im allgemeinen wiederum Schlauchknoten sind. Die vorliegenden
topologischen Verh\"altnisse, die das Verhalten der Funktion in der Umgebung
dieser Stelle charakterisieren, bestimmen sich im allgemeinen aus den
Charakteristikenpaaren und Indicespaaren der
Diskriminantenmannigfaltigkeiten. Im letzten Teil der Arbeit werden die zu
den geschilderten topologischen Verh\"altnissen geh\"origen Verzweigungen
untersucht. Die Verzweigungen in den ``H\"ochststellungen''. der Kurve
erzeugen die zugeh\"orige Gruppe vollst\"andig. Zwischen diesen bestehen
besondere Beziehungen, die sog. Wirtingerschen Relationen, aus denen sich
durch Reduktion der einfache symmetrische Aufbau der Verzweigungsgruppe aus
wesentlichen Erzeugenden ergibt. Zwischen diesen Erzeugenden, die eine
einfache geometrische und funktionentheoretische Bedeutung haben, bestehen
bestimmte definierende Relationen, die sich aus den Charakteristikenpaaren
ableiten lassen.}",
reviewer="{Behnke, H.; Prof. (M\"unster in Westfalen)}",
}
@article {MR0200937,
AUTHOR = {Bredon, Glen E. and Kosinski, A.},
TITLE = {Vector fields on {$\pi $}-manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {85--90},
ISSN = {0003-486X},
MRCLASS = {57.34},
MRNUMBER = {MR0200937 (34 \#823)},
MRREVIEWER = {J. F. Adams},
}
@incollection {MR0250303,
AUTHOR = {Bredon, Glen E.},
TITLE = {Equivariant homotopy},
BOOKTITLE = {Proc. Conf. on Transformation Groups (New Orleans, La., 1967)},
PAGES = {281--292},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1968},
MRCLASS = {55.40},
MRNUMBER = {MR0250303 (40 \#3542)},
MRREVIEWER = {G. B. Segal},
}
@article {MR0310901,
AUTHOR = {Bredon, Glen E.},
TITLE = {Regular {${\bf O}(n)$}-manifolds, suspension of knots, and
knot periodicity},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {79},
YEAR = {1973},
PAGES = {87--91},
ISSN = {0002-9904},
MRCLASS = {57C45 (57D90)},
MRNUMBER = {MR0310901 (46 \#9999)},
MRREVIEWER = {P. J. Kahn},
}
@book {MR1224675,
AUTHOR = {Bredon, Glen E.},
TITLE = {Topology and geometry},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {139},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {xiv+557},
ISBN = {0-387-97926-3},
MRCLASS = {55-01 (54-01 57-01)},
MRNUMBER = {MR1224675 (94d:55001)},
MRREVIEWER = {Donald W. Kahn},
}
@book {MR1481706,
AUTHOR = {Bredon, Glen E.},
TITLE = {Sheaf theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {170},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+502},
ISBN = {0-387-94905-4},
MRCLASS = {55N30 (18F20 54B40 55-02)},
MRNUMBER = {1481706 (98g:55005)},
}
@article {MR0137728,
AUTHOR = {Brenner, J. L.},
TITLE = {Characteristic polynomials of special matrices},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {12},
YEAR = {1961},
PAGES = {298--300},
ISSN = {0003-889X},
MRCLASS = {15.25},
MRNUMBER = {MR0137728 (25 \#1177)},
MRREVIEWER = {M. Marcus},
}
@book {MR1083352,
AUTHOR = {Brezinski, Claude},
TITLE = {History of continued fractions and {P}ad\'e approximants},
SERIES = {Springer Series in Computational Mathematics},
VOLUME = {12},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1991},
PAGES = {vi+551},
ISBN = {3-540-15286-5},
MRCLASS = {01-02 (11-03 11A55 40A15 41A21)},
MRNUMBER = {MR1083352 (92c:01002)},
MRREVIEWER = {Jesper L{\"u}tzen},
}
@article {MR1354598,
AUTHOR = {Brezis, H. and Nirenberg, L.},
TITLE = {Degree theory and {BMO}. {I}. {C}ompact manifolds without
boundaries},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {1},
YEAR = {1995},
NUMBER = {2},
PAGES = {197--263},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {58C30 (47H11 49Q20)},
MRNUMBER = {1354598 (96g:58023)},
MRREVIEWER = {Maria J. Esteban},
DOI = {10.1007/BF01671566},
URL = {http://dx.doi.org/10.1007/BF01671566},
}
@article {MR1422201,
AUTHOR = {Brezis, H. and Nirenberg, L.},
TITLE = {Degree theory and {BMO}. {II}. {C}ompact manifolds with
boundaries},
NOTE = {With an appendix by the authors and Petru Mironescu},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {2},
YEAR = {1996},
NUMBER = {3},
PAGES = {309--368},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {58C30 (46E35 47B35 47H11)},
MRNUMBER = {1422201 (98a:58024)},
MRREVIEWER = {Yi Hong Du},
DOI = {10.1007/BF01587948},
URL = {http://dx.doi.org/10.1007/BF01587948},
}
@book {MR1744486,
AUTHOR = {Bridson, Martin R. and Haefliger, Andr{\'e}},
TITLE = {Metric spaces of non-positive curvature},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {319},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1999},
PAGES = {xxii+643},
ISBN = {3-540-64324-9},
MRCLASS = {53C23 (20F65 53C70 57M07)},
MRNUMBER = {1744486 (2000k:53038)},
MRREVIEWER = {Athanase Papadopoulos},
}
@book {MR1967744,
TITLE = {Invitations to geometry and topology},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {7},
AUTHOR = {Bridson, Martin R. and Salamon, Simon M.},
NOTE = {Dedicated to Brian Steer to mark his 60th birthday},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2002},
PAGES = {x+327},
ISBN = {0-19-850772-0},
MRCLASS = {00B15 (00B30 53-06 57-06 58-06)},
MRNUMBER = {1967744 (2003j:00020)},
}
@article {MR0206972,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Beispiele zur {D}ifferentialtopologie von {S}ingularit\"aten},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {2},
YEAR = {1966},
PAGES = {1--14},
ISSN = {0020-9910},
MRCLASS = {57.10 (14.18)},
MRNUMBER = {MR0206972 (34 \#6788)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0206973,
AUTHOR = {Brieskorn, Egbert},
TITLE = {\"{U}ber die {A}ufl\"osung gewisser {S}ingularit\"aten von
holomorphen {A}bbildungen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {166},
YEAR = {1966},
PAGES = {76--102},
ISSN = {0025-5831},
MRCLASS = {32.47 (14.18)},
MRNUMBER = {MR0206973 (34 \#6789)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0222084,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Rationale {S}ingularit\"aten komplexer {F}l\"achen},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {4},
YEAR = {1967/1968},
PAGES = {336--358},
ISSN = {0020-9910},
MRCLASS = {14.18},
MRNUMBER = {MR0222084 (36 \#5136)},
MRREVIEWER = {Joseph Lipman},
}
@article {MR0233819,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Die {A}ufl\"osung der rationalen {S}ingularit\"aten
holomorpher {A}bbildungen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {178},
YEAR = {1968},
PAGES = {255--270},
ISSN = {0025-5831},
MRCLASS = {14.18 (32.00)},
MRNUMBER = {MR0233819 (38 \#2140)},
MRREVIEWER = {A. H. Wallace},
}
@article {MR0267607,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Die {M}onodromie der isolierten {S}ingularit\"aten von
{H}yperfl\"achen},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {2},
YEAR = {1970},
PAGES = {103--161},
ISSN = {0025-2611},
MRCLASS = {57.60},
MRNUMBER = {0267607 (42 \#2509)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR0422674,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Sur les groupes de tresses [d'apr\`es {V}. {I}. {A}rnol\cprime
d]},
BOOKTITLE = {S\'eminaire {B}ourbaki, 24\`eme ann\'ee (1971/1972), {E}xp.
{N}o. 401},
PAGES = {21--44. Lecture Notes in Math., Vol. 317},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1973},
MRCLASS = {32C40 (57C45)},
MRNUMBER = {0422674 (54 \#10660)},
MRREVIEWER = {Alan H. Durfee},
}
@incollection {MR1919421,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Singularities in the work of {F}riedrich {H}irzebruch},
BOOKTITLE = {Surveys in differential geometry},
SERIES = {Surv. Differ. Geom., VII},
PAGES = {17--60},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2000},
MRCLASS = {32-03 (01A70 14B05 14J17 32S25 57R45 57R55)},
MRNUMBER = {MR1919421 (2003g:32002)},
MRREVIEWER = {I. Dolgachev},
}
@book {MR733785,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Die {M}ilnorgitter der exzeptionellen unimodularen
{S}ingularit\"aten},
SERIES = {Bonner Mathematische Schriften [Bonn Mathematical
Publications], 150},
PUBLISHER = {Universit\"at Bonn Mathematisches Institut},
ADDRESS = {Bonn},
YEAR = {1983},
PAGES = {iv+225},
MRCLASS = {32B30 (11E04 14B05)},
MRNUMBER = {MR733785 (85k:32014)},
MRREVIEWER = {K. Lamotke},
}
@book {MR886476,
AUTHOR = {Brieskorn, Egbert and Kn{\"o}rrer, Horst},
TITLE = {Plane algebraic curves},
NOTE = {Translated from the German by John Stillwell},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {1986},
PAGES = {vi+721},
ISBN = {3-7643-1769-8},
MRCLASS = {14-01 (14H20 14Hxx)},
MRNUMBER = {MR886476 (88a:14001)},
}
@incollection {MR975077,
AUTHOR = {Brieskorn, Egbert},
TITLE = {Automorphic sets and braids and singularities},
BOOKTITLE = {Braids ({S}anta {C}ruz, {CA}, 1986)},
SERIES = {Contemp. Math.},
VOLUME = {78},
PAGES = {45--115},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1988},
MRCLASS = {32G11 (14B05 20F36 32C40)},
MRNUMBER = {975077 (90a:32024)},
MRREVIEWER = {Mina Teicher},
DOI = {10.1090/conm/078/975077},
URL = {http://dx.doi.org/10.1090/conm/078/975077},
}
@article {MR1415319,
AUTHOR = {Brion, Michel and Vergne, Mich{\`e}le},
TITLE = {Lattice points in simple polytopes},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {10},
YEAR = {1997},
NUMBER = {2},
PAGES = {371--392},
ISSN = {0894-0347},
MRCLASS = {11P21 (11H06 14M25)},
MRNUMBER = {MR1415319 (98a:11132)},
MRREVIEWER = {Hartmut Menzer},
}
@article {MR1206799,
AUTHOR = {Brisson, Erik},
TITLE = {Representing geometric structures in {$d$} dimensions:
topology and order},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {9},
YEAR = {1993},
NUMBER = {4},
PAGES = {387--426},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {68U05 (52B55)},
MRNUMBER = {MR1206799 (93m:68163)},
}
@article {MR1906713,
AUTHOR = {Brittenham, Mark},
TITLE = {Free {S}eifert surfaces and disk decompositions},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {240},
YEAR = {2002},
NUMBER = {1},
PAGES = {197--210},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57M25},
MRNUMBER = {MR1906713 (2003g:57004)},
MRREVIEWER = {Charles Ira Delman},
}
@article {MR0116336,
AUTHOR = {Brody, E. J.},
TITLE = {The topological classification of the lens spaces},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {71},
YEAR = {1960},
PAGES = {163--184},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0116336 (22 \#7125)},
MRREVIEWER = {J. Tao},
}
@article {MR0142123,
AUTHOR = {Brody, E. J.},
TITLE = {On the fibred spaces of {S}eifert},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {13},
YEAR = {1962},
PAGES = {161--171},
ISSN = {0033-5606},
MRCLASS = {55.50},
MRNUMBER = {MR0142123 (25 \#5516)},
MRREVIEWER = {R. H. Fox},
}
@book {MR0275446,
AUTHOR = {Broecker, Theodor and tom Dieck, Tammo},
TITLE = {Kobordismentheorie},
SERIES = {Lecture Notes in Mathematics, Vol. 178},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {xvi+191},
MRCLASS = {57.10 (55.00)},
MRNUMBER = {MR0275446 (43 \#1202)},
MRREVIEWER = {P. S. Landweber},
}
@article {MR0321119,
AUTHOR = {Broecker, Theodor and Hook, Edward C.},
TITLE = {Stable equivariant bordism},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {129},
YEAR = {1972},
PAGES = {269--277},
ISSN = {0025-5874},
MRCLASS = {57D85 (55B20)},
MRNUMBER = {MR0321119 (47 \#9652)},
MRREVIEWER = {J. W. Vick},
}
@book {MR781344,
AUTHOR = {Broecker, Theodor and tom Dieck, Tammo},
TITLE = {Representations of compact {L}ie groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {98},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1985},
PAGES = {x+313},
ISBN = {0-387-13678-9},
MRCLASS = {22E45 (57-01)},
MRNUMBER = {MR781344 (86i:22023)},
MRREVIEWER = {R. Schultz},
}
@thesis{brookman,
AUTHOR = {Jeremy Brookman},
TITLE = {Thesis},
}
@article{math.GT/0509053,
title = {{Manifolds homotopy equivalent to P^n # P^n}},
author = {Jeremy Brookman and Jim Davis and Qayum Khan},
eprint = {arXiv:math.GT/0509053},
}
@article {MR1511582,
AUTHOR = {Brouwer, L. E. J.},
TITLE = {\"{U}ber eineindeutige, stetige {T}ransformationen von
{F}l\"achen in sich},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {69},
YEAR = {1910},
NUMBER = {2},
PAGES = {176--180},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1511582},
}
@article {MR1511615,
AUTHOR = {Brouwer, L. E. J.},
TITLE = {Beweis der {I}nvarianz der {D}imensionenzahl},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {70},
YEAR = {1911},
NUMBER = {2},
PAGES = {161--165},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1511615},
}
@article {MR1511678,
AUTHOR = {Brouwer, L. E. J.},
TITLE = {\"{U}ber {A}bbildung von {M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {71},
YEAR = {1912},
NUMBER = {4},
PAGES = {598},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1511678},
}
@article {MR0140103,
AUTHOR = {Browder, William and Thomas, Emery},
TITLE = {Axioms for the generalized {P}ontryagin cohomology operatons},
JOURNAL = {Quart. J. Math. Oxford. Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {13},
YEAR = {1962},
PAGES = {55--60},
ISSN = {0033-5606},
MRCLASS = {55.34},
MRNUMBER = {MR0140103 (25 \#3526)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0143205,
AUTHOR = {Browder, William},
TITLE = {Remark on the {P}oincar\'e duality theorem},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {13},
YEAR = {1962},
PAGES = {927--930},
ISSN = {0002-9939},
MRCLASS = {55.30 (55.66)},
MRNUMBER = {0143205 (26 \#765)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0175136,
AUTHOR = {Browder, William},
TITLE = {Structures on {$M\times R$}},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {61},
YEAR = {1965},
PAGES = {337--345},
MRCLASS = {57.10},
MRNUMBER = {MR0175136 (30 \#5321)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0189040,
AUTHOR = {Browder, William},
TITLE = {Embedding {$1$}-connected manifolds},
JOURNAL = {Bull. Amer. Math. Soc. 72 (1966), 225--231; Erratum: ibid.},
VOLUME = {72},
YEAR = {1966},
PAGES = {736},
MRCLASS = {55.70},
MRNUMBER = {MR0189040 (32 \#6467)},
MRREVIEWER = {M. L. Curtis},
}
@article {MR0189046,
AUTHOR = {Browder, William and Levine, J. and Livesay, G. R.},
TITLE = {Finding a boundary for an open manifold},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {87},
YEAR = {1965},
PAGES = {1017--1028},
ISSN = {0002-9327},
MRCLASS = {57.20 (57.10)},
MRNUMBER = {MR0189046 (32 \#6473)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0190940,
AUTHOR = {Browder, William},
TITLE = {Manifolds with {$\pi \sb{1}=Z$}},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {72},
YEAR = {1966},
PAGES = {238--244},
MRCLASS = {57.10},
MRNUMBER = {MR0190940 (32 \#8350)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0195104,
AUTHOR = {Browder, William and Levine, J.},
TITLE = {Fibering manifolds over a circle},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {40},
YEAR = {1966},
PAGES = {153--160},
MRCLASS = {57.20},
MRNUMBER = {MR0195104 (33 \#3309)},
MRREVIEWER = {R. H. Rosen},
}
@article {MR0198480,
AUTHOR = {Browder, William and Liulevicius, A. and Peterson, F. P.},
TITLE = {Cobordism theories},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {91--101},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0198480 (33 \#6638)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0251736,
AUTHOR = {Browder, William},
TITLE = {The {K}ervaire invariant of framed manifolds and its
generalization},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {90},
YEAR = {1969},
PAGES = {157--186},
MRCLASS = {57.10},
MRNUMBER = {MR0251736 (40 \#4963)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@incollection {MR0261629,
AUTHOR = {Browder, William},
TITLE = {Surgery and the theory of differentiable transformation
groups},
BOOKTITLE = {Proc. {C}onf. on {T}ransformation {G}roups ({N}ew {O}rleans,
{L}a., 1967)},
PAGES = {1--46},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1968},
MRCLASS = {57.47},
MRNUMBER = {MR0261629 (41 \#6242)},
MRREVIEWER = {J. Milnor},
}
@incollection {MR0278312,
AUTHOR = {Browder, William},
TITLE = {Manifolds and homotopy theory},
BOOKTITLE = {Manifolds---{A}msterdam 1970 ({P}roc. {N}uffic {S}ummer
{S}chool)},
PAGES = {17--35},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57.01},
MRNUMBER = {MR0278312 (43 \#4042)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0324717,
AUTHOR = {Browder, William},
TITLE = {Cobordism invariants, the {K}ervaire invariant and fixed point
free involutions},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {178},
YEAR = {1973},
PAGES = {193--225},
ISSN = {0002-9947},
MRCLASS = {57D90 (57D65)},
MRNUMBER = {MR0324717 (48 \#3067)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0326743,
AUTHOR = "William Browder",
TITLE = "Poincar\'e spaces, their normal fibrations and surgery",
JOURNAL = "Invent. Math.",
VOLUME = "17",
YEAR = "1972",
PAGES = "191--202",
MRCLASS = "57B10 (57D65)",
MRNUMBER = "MR0326743 (48 \#5086)",
MRREVIEWER = "S. Y. Husseini",
}
@book {MR0358813,
AUTHOR = {Browder, William},
TITLE = {Surgery on simply-connected manifolds},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 65},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {ix+132},
MRCLASS = {57D65},
MRNUMBER = {MR0358813 (50 \#11272)},
MRREVIEWER = {P. J. Kahn},
}
@incollection {MR1388298,
AUTHOR = {Browder, William},
TITLE = {Homotopy type of differentiable manifolds},
BOOKTITLE = {Novikov conjectures, index theorems and rigidity, {V}ol.\ 1
({O}berwolfach, 1993)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {226},
PAGES = {97--100},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1995},
MRCLASS = {57R65 (57R55)},
MRNUMBER = {1388298 (97d:57044)},
MRREVIEWER = {Terry Lawson},
DOI = {10.1017/CBO9780511662676.006},
URL = {http://dx.doi.org/10.1017/CBO9780511662676.006},
locapdf="../../papers/browdertype.pdf",
}
@incollection {MR561215,
AUTHOR = {Browder, William},
TITLE = {Complete intersections and the {K}ervaire invariant},
BOOKTITLE = {Algebraic topology, {A}arhus 1978 ({P}roc. {S}ympos., {U}niv.
{A}arhus, {A}arhus, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {763},
PAGES = {88--108},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57R20},
MRNUMBER = {MR561215 (81i:57019)},
MRREVIEWER = {John W. Wood},
}
@article {MR0105687,
AUTHOR = {Brown, E. H.},
TITLE = {Twisted tensor products. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {69},
YEAR = {1959},
PAGES = {223--246},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {0105687 (21 \#4423)},
MRREVIEWER = {E. Fadell},
}
@article {MR0138104,
AUTHOR = {Brown, E. H.},
TITLE = {Cohomology theories},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {467--484},
ISSN = {0003-486X},
MRCLASS = {55.30},
MRNUMBER = {MR0138104 (25 \#1551)},
MRREVIEWER = {S.-T. Hu},
}
@article {MR0162243,
AUTHOR = {Brown, E. H. and Peterson, F. P.},
TITLE = {Algebraic bordism groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {79},
YEAR = {1964},
PAGES = {616--622},
ISSN = {0003-486X},
MRCLASS = {57.10 (57.32)},
MRNUMBER = {0162243 (28 \#5442)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0293642,
AUTHOR = {Brown, E. H.},
TITLE = {Generalizations of the {K}ervaire invariant},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {95},
YEAR = {1972},
PAGES = {368--383},
ISSN = {0003-486X},
MRCLASS = {57A70},
MRNUMBER = {MR0293642 (45 \#2719)},
MRREVIEWER = {M. L. Curtis},
}
@article {MR0339215,
AUTHOR = {Brown, E. H.},
TITLE = {A remark concerning immersions of {$S\sp{n}$} in {${\bf
R}\sp{2n}$}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {24},
YEAR = {1973},
PAGES = {559--560},
ISSN = {0033-5606},
MRCLASS = {57D40},
MRNUMBER = {MR0339215 (49 \#3977)},
MRREVIEWER = {Robert Wells},
}
@article {MR0425995,
AUTHOR = {Brown, E. H.},
TITLE = {Framed manifolds with a fixed point free involution},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {23},
YEAR = {1976},
NUMBER = {3},
PAGES = {257--260 (1977)},
ISSN = {0026-2285},
MRCLASS = {57D95 (57D90)},
MRNUMBER = {MR0425995 (54 \#13944)},
MRREVIEWER = {Vincent Giambalvo},
}
@article {MR0341469,
AUTHOR = {Brown, Kenneth S.},
TITLE = {Abstract homotopy theory and generalized sheaf cohomology},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {186},
YEAR = {1974},
PAGES = {419--458},
ISSN = {0002-9947},
MRCLASS = {55B30 (18H99)},
MRNUMBER = {0341469 (49 \#6220)},
MRREVIEWER = {A. Dold},
}
@book {MR1324339,
AUTHOR = {Brown, Kenneth S.},
TITLE = {Cohomology of groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {87},
NOTE = {Corrected reprint of the 1982 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {x+306},
ISBN = {0-387-90688-6},
MRCLASS = {20J05 (20-02)},
MRNUMBER = {MR1324339 (96a:20072)},
}
@article {MR0220279,
AUTHOR = {Brown, Ronald},
TITLE = {Groupoids and van {K}ampen's theorem},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {17},
YEAR = {1967},
PAGES = {385--401},
ISSN = {0024-6115},
MRCLASS = {55.40},
MRNUMBER = {MR0220279 (36 \#3345)},
MRREVIEWER = {R. H. Fox},
}
@book{brownbk,
AUTHOR = {Brown, Ronald},
TITLE = {Topology and groupoids},
NOTE ="Third edition of {\it Elements of modern topology
}
@article {MR1502901,
AUTHOR = {Browne, E. T.},
TITLE = {On the signature of a quadratic form},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {30},
YEAR = {1928/29},
NUMBER = {1-4},
PAGES = {517--525},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {Database Expansion Item},
MRNUMBER = {MR1502901},
}
@article {MR1365013,
AUTHOR = {Bruckheimer, Maxim and Arcavi, Abraham},
TITLE = {Farey series and {P}ick's area theorem},
JOURNAL = {Math. Intelligencer},
FJOURNAL = {The Mathematical Intelligencer},
VOLUME = {17},
YEAR = {1995},
NUMBER = {4},
PAGES = {64--67},
ISSN = {0343-6993},
CODEN = {MAINDC},
MRCLASS = {01A55},
MRNUMBER = {1365013 (96h:01019)},
MRREVIEWER = {Albert C. Lewis},
DOI = {10.1007/BF03024792},
URL = {http://dx.doi.org/10.1007/BF03024792},
}
@article {MR0234458,
AUTHOR = {Brumfiel, Gregory W.},
TITLE = {On the homotopy groups of {${\rm BPL}$} and {${\rm PL/O}$}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {88},
YEAR = {1968},
PAGES = {291--311},
ISSN = {0003-486X},
MRCLASS = {55.45},
MRNUMBER = {MR0234458 (38 \#2775)},
MRREVIEWER = {J.-P. Meyer},
}
@article {MR0248830,
AUTHOR = {Brumfiel, Gregory W.},
TITLE = {On the homotopy groups of {$BPL$} and {$PL/O$}. {II}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {305--311},
ISSN = {0040-9383},
MRCLASS = {55.45 (57.00)},
MRNUMBER = {MR0248830 (40 \#2080)},
MRREVIEWER = {J.-P. Meyer},
}
@article {MR0271938,
AUTHOR = {Brumfiel, Gregory W.},
TITLE = {The homotopy groups of {$BPL$} and {$PL/O$}. {III}},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {17},
YEAR = {1970},
PAGES = {217--224},
ISSN = {0026-2285},
MRCLASS = {55.40},
MRNUMBER = {MR0271938 (42 \#6819)},
MRREVIEWER = {J.-P. Meyer},
}
@article {MR0305419,
AUTHOR = {Brumfiel, Gregory W.},
TITLE = {Homotopy equivalences of almost smooth manifolds},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {46},
YEAR = {1971},
PAGES = {381--407},
ISSN = {0010-2571},
MRCLASS = {57D10},
MRNUMBER = {MR0305419 (46 \#4549)},
MRREVIEWER = {S. S. Cairns},
}
@article {MR0324709,
AUTHOR = {Brumfiel, Gregory W. and Morgan, John W.},
TITLE = {Quadratic functions, the index modulo {$8$}, and a {${\bf
Z}/4$}-{H}irzebruch formula},
JOURNAL = {Topology},
VOLUME = {12},
YEAR = {1973},
PAGES = {105--122},
MRCLASS = {57D20},
MRNUMBER = {MR0324709 (48 \#3059)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0431185,
AUTHOR = {Brumfiel, Gregory W. and Morgan, John W.},
TITLE = {Homotopy theoretic consequences of {N}. {L}evitt's obstruction
theory to transversality for spherical fibrations},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {67},
YEAR = {1976},
NUMBER = {1},
PAGES = {1--100},
ISSN = {0030-8730},
MRCLASS = {57B10 (57D65 55G35)},
MRNUMBER = {MR0431185 (55 \#4187)},
MRREVIEWER = {Norman Levitt},
}
@article {MR0470965,
AUTHOR = {Brumfiel, Gregory W. and Milgram, R. J.},
TITLE = {Normal maps, covering spaces, and quadratic functions},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {44},
YEAR = {1977},
NUMBER = {3},
PAGES = {663--694},
ISSN = {0012-7094},
MRCLASS = {57B10},
MRNUMBER = {MR0470965 (57 \#10708)},
MRREVIEWER = {K. Lamotke},
}
@paper{brum,
AUTHOR = {Gregory W. Brumfiel},
TITLE = {Differentiable S^1-actions on homotopy spheres},
}
@article{24.0507.01,
author="Brunn, H.",
title="{Ueber Verkettung.}",
language="German",
journal="M\"unch.",
pages="Ber",
year="1892",
abstract="{Ringe, die mit einander verkettet sind, haben einen
``Verkettungszustand'', den der Verf. folgendermassen definirt. Seien
$R_1,R_2,\dots,R_n$ alle Ringe, so bilde man alle Combinationen dieser Ringe
zu zweien, die mit einander verkettet sind. Diese Combinationen kann man
ebenso neben einander stellen, und diejenigen von ihnen aufsuchen, die
Ringtripel liefern, die eine Kette bilden u. s. w. So entsteht ein Schema,
das der Verf. Verkettungsschema nennt. Er zeigt, dass zu jedem Schema eine
wirkliche Kette geh\"ort, und untersucht ausserdem die beiden Fragen,
welches die geringste Zahl von Schnitten ist, die man ausf\"uhren muss, um
alle Ringe von einander frei zu machen, und welches andererseits die
gr\"osste Zahl solcher Schnitte ist, vorausgesetzt, dass nie ein bereits
frei gewordener Ring zerschnitten wird. Unter diesen Ketten wird eine
Gattung besonders hervorgehoben; sie zerfallen g\"anzlich, wenn man auch nur
einen einzigen Ring zerschneidet.}",
reviewer="{Sch\"onflies, Prof. (G\"ottingen)}",
}
@article{brunn,
AUTHOR = {Brunnbauer, Michael},
TITLE = {Ueber eine Signaturinvariante fuer Mannigfaltigkeiten
mit symmetrischen Rand},
}
@article{brusch2,
TITLE = "Stetige Abbildungen und Bettische Gruppen der Dimensionszahlen 1 und 3",
AUTHOR = {Bruschlinsky, N.},
JOURNAL = {Math. Ann.},
VOLUME = {109},
PAGES = {525-537},
YEAR = {1934},
}
@article {MR1829079,
AUTHOR = {Bryan, Jim and Donagi, Ron and Stipsicz, Andr{\'a}s I.},
TITLE = {Surface bundles: some interesting examples},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {25},
YEAR = {2001},
NUMBER = {1},
PAGES = {61--68},
ISSN = {1300-0098},
MRCLASS = {57R15 (57R22)},
MRNUMBER = {1829079 (2002a:57034)},
MRREVIEWER = {Ivan Smith},
}
@article {MR1885589,
AUTHOR = {Bryan, Jim and Donagi, Ron},
TITLE = {Surface bundles over surfaces of small genus},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {6},
YEAR = {2002},
PAGES = {59--67 (electronic)},
ISSN = {1465-3060},
MRCLASS = {14J80 (14D05 57M12 57N13)},
MRNUMBER = {1885589 (2002m:14037)},
MRREVIEWER = {Ivan Smith},
DOI = {10.2140/gt.2002.6.59},
URL = {http://dx.doi.org/10.2140/gt.2002.6.59},
}
@article {DESING,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Desingularizing homology manifolds},
JOURNAL = {preprint},
YEAR = {2005},
}
@article {MR1394965,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Topology of homology manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {143},
YEAR = {1996},
NUMBER = {3},
PAGES = {435--467},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57P99},
MRNUMBER = {MR1394965 (97b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1923999,
AUTHOR = {Bryant, J. and Kirby, P.},
TITLE = {Splitting manifold approximate fibrations},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {1041--1050},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N35 (57P99)},
MRNUMBER = {MR1923999 (2003h:57030)},
MRREVIEWER = {Erik K. Pedersen},
}
@article{pl,
AUTHOR = {Bryant, J.},
TITLE = {Piecewise Linear Topology},
}
@article {MR1761426,
AUTHOR = {Bryden, J. and Hayat-Legrand, C. and Zieschang, Heiner and
Zvengrowski, P.},
TITLE = {The cohomology ring of a class of {S}eifert manifolds},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {105},
YEAR = {2000},
NUMBER = {2},
PAGES = {123--156},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N10 (55M30)},
MRNUMBER = {MR1761426 (2001d:57022)},
MRREVIEWER = {Bruno Zimmermann},
}
@article {MR1666570,
AUTHOR = {Br{\"u}ning, Jochen and Lesch, Matthias},
TITLE = {On the {$\eta$}-invariant of certain nonlocal boundary value
problems},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {96},
YEAR = {1999},
NUMBER = {2},
PAGES = {425--468 ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {58G10 (58G11 58G20)},
MRNUMBER = {MR1666570 (99m:58180)},
MRREVIEWER = {John G. Miller},
}
@article{buckflapan,
AUTHOR = {Buck, D. and Flapan, E.},
TITLE = {A topological characterization of knots and links arising from site-specific recombination},
JOURNAL = {J. Phys. A: Math. Theor},
YEAR = {2007},
VOLUME = {40},
PAGES = {12377-12395},
}
@article {MR2172897,
AUTHOR = {Budney, Ryan D.},
TITLE = {On the image of the {L}awrence-{K}rammer representation},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {14},
YEAR = {2005},
NUMBER = {6},
PAGES = {773--789},
ISSN = {0218-2165},
MRCLASS = {20F36 (20C15 57M07 57M25)},
MRNUMBER = {2172897 (2006h:20051)},
MRREVIEWER = {Stephen P. Humphries},
DOI = {10.1142/S0218216505004044},
URL = {http://dx.doi.org/10.1142/S0218216505004044},
}
@article {MR1331973,
AUTHOR = {Bunke, U.},
TITLE = {On the gluing problem for the {$\eta$}-invariant},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {41},
YEAR = {1995},
NUMBER = {2},
PAGES = {397--448},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58G10 (57R57)},
MRNUMBER = {MR1331973 (96c:58163)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR1603317,
AUTHOR = {Bunke, U. and Koch, H.},
TITLE = {The {$\eta$}-form and a generalized {M}aslov index},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {95},
YEAR = {1998},
NUMBER = {2},
PAGES = {189--212},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {58G10 (58F05)},
MRNUMBER = {MR1603317 (99b:58221)},
MRREVIEWER = {Paul A. Kirk},
}
@article{bunke_topological_2011,
title = {On the topological contents of eta invariants},
url = {http://arxiv.org/abs/1103.4217},
abstract = {We discuss an universal bordism invariant obtained from the {Atiyah-Patodi-Singer} eta-invariant from the analytic and homotopy theoretic point of view. Classical invariants like the Adams e-invariant, \${\textbackslash}rho\$-invariants and {\$String\$-bordism} invariants are derived as special cases. The main results are a secondary index theorem about the coincidence of the analytic and topological constructions and intrinsic expressions for the bordism invariants.},
journal = {1103.4217},
author = {Bunke, U.},
month = mar,
year = {2011},
keywords = {{58J28,} Mathematics - Algebraic Topology, Mathematics - Differential Geometry},
}
@book{BUON,
AUTHOR = {Buoncristiano, S.},
TITLE = {Fragments of geometric topology from the sixties},
SERIES = {Geometry and Topology Monographs},
VOLUME = {6},
YEAR = {2003},
}
@book {MR0413113,
AUTHOR = {Buoncristiano, S. and Rourke, C. P. and Sanderson, Brian},
TITLE = {A geometric approach to homology theory},
NOTE = {London Mathematical Society Lecture Note Series, No. 18},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1976},
PAGES = {iii+149},
MRCLASS = {57A65 (55B35 57C20 57C50)},
MRNUMBER = {0413113 (54 \#1234)},
MRREVIEWER = {W. Metzler},
}
@article{0009.23101,
author="Burau, Werner",
title="{Kennzeichnung der Schlauchverkettungen.}",
language="German",
journal="Abh. Math. Semin. Hamb. Univ. ",
volume="10",
pages="285-297",
year="1934",
doi={10.1007/BF02940680},
keywords="{topology}",
}
@article{58.0615.01,
author="Burau, Werner",
title="{Kennzeichnung der Schlauchknoten.}",
language="German",
journal="Abhandlungen Hamburg ",
volume="9",
pages="125-133",
year="1932",
doi={10.1007/BF02940635},
abstract="{Verf. behandelt eine Verallgemeinerung der Schlauchknoten (vgl. den
letzten Abschnitt des vorangehenden Referats), die dadurch entsteht, da\ss \
man einen beliebigen Knoten $K$ durch $n$ benachbarte zu ihm (in der
Projektion) parallele F\"aden ersetzt und diese nach Art eines Torusknotens
$m$-fach verdrillt; $(n,m)=1$. $m$ ist bei elementaren Deformationen von $K$
nur mod $n$ bestimmt, dagegen ist $w=nv+m$, $v$=Selbstverdrillung von $K$,
eine Invariante des Schlauchknotens $K_{n,m}$. \par Die Gruppe $\frak
K_{n,m}$ von $K_{n,m}$ entsteht aus der Gruppe $\frak K$ von $K$ durch
Hinzuf\"ugen einer Erzeugenden und einer Relation; das {\it Alexander}sche
Polynom $\frak P(x)$ von $\frak K_{n,m}$ dr\"uckt sich durch das Polynom
$\frak F(x)$ von $\frak K$ folgenderma\ss en aus: $$ \frak P(x)=\frak
F(x^n)\frak P_{w,n}(x)$$ mit $$ \frak P_{w,n}(x)={(x^{wn}-1)(x-1)\over
(x^w-1)(x^n-1)}.$$ ($\frak P_{a,b}(x)$ ist das zu $\frak K_{a,b}$
geh\"orende Polynom, wenn man f\"ur $K$ einen Kreis nimmt.) \par Wenn die
Zerlegung von $\frak F(x)$ in irreduzible Faktoren nicht nur
Kreisteilungspolynome enth\"alt, kann man $n$ durch Vergleichen der kein
Kreisteilungspolynom mehr enthaltenden Faktoren von $\frak F(x)$ und $\frak
P(x)$ und dann aus dem zum h\"ochsten Teilungsgrad geh\"orenden
Kreisteilungsfaktor von $\frak P(x)/\frak F(x^n)$ auch $w$ ermitteln. Hat
dagegen $\frak F(x)$ nur Kreisteilungspolynome als Faktoren, so k\"onnen,
was Verf. nicht n\"aher ausf\"uhrt, zwei nicht unterscheidbare Typen von
Schlauchknoten \"uber $K$ auftreten. Jedoch kann man im Falle der speziellen
Schlauchknoten h\"oherer Stufe (vorangehendes Referat), obgleich hier nur
Kreisteilungspolynome als Faktoren auftreten, die Zahlen $m_\varkappa $,
$n_\varkappa $ aus der Faktorzerlegung von $\frak P(x)$ ermitteln.}",
reviewer="{Pannwitz, Erika; Dr. (Berlin)}",
}
@article {MR3069586,
AUTHOR = {Burau, Werner},
TITLE = {\"{U}ber {Z}opfinvarianten},
JOURNAL = {Abh. Math. Sem. Univ. Hamburg},
FJOURNAL = {Abhandlungen aus dem Mathematischen Seminar der Universit\"at
Hamburg},
VOLUME = {9},
YEAR = {1933},
NUMBER = {1},
PAGES = {117--124},
ISSN = {0025-5858},
CODEN = {AMHAAJ},
MRCLASS = {Contributed Item},
MRNUMBER = {3069586},
DOI = {10.1007/BF02940634},
URL = {http://dx.doi.org/10.1007/BF02940634},
}
@article {MR3069651,
AUTHOR = {Burau, Werner},
TITLE = {\"{U}ber {V}erkettungsgruppen},
JOURNAL = {Abh. Math. Sem. Univ. Hamburg},
FJOURNAL = {Abhandlungen aus dem Mathematischen Seminar der Universit\"at
Hamburg},
VOLUME = {11},
YEAR = {1935},
NUMBER = {1},
PAGES = {171--178},
ISSN = {0025-5858},
CODEN = {AMHAAJ},
MRCLASS = {Contributed Item},
MRNUMBER = {3069651},
DOI = {10.1007/BF02940721},
URL = {http://dx.doi.org/10.1007/BF02940721},
}
@article {MR3069652,
AUTHOR = {Burau, Werner},
TITLE = {\"{U}ber {Z}opfgruppen und gleichsinnig verdrillte
{V}erkettungen},
JOURNAL = {Abh. Math. Sem. Univ. Hamburg},
FJOURNAL = {Abhandlungen aus dem Mathematischen Seminar der Universit\"at
Hamburg},
VOLUME = {11},
YEAR = {1935},
NUMBER = {1},
PAGES = {179--186},
ISSN = {0025-5858},
CODEN = {AMHAAJ},
MRCLASS = {Contributed Item},
MRNUMBER = {3069652},
DOI = {10.1007/BF02940722},
URL = {http://dx.doi.org/10.1007/BF02940722},
}
@incollection {MR2024629,
AUTHOR = {Bigelow, Stephen},
TITLE = {The Lawrence-Krammer representation},
BOOKTITLE = {Topology and geometry of manifolds ({A}thens, {GA}, 2001)},
SERIES = {Proc. Sympos. Pure Math.},
VOLUME = {71},
PAGES = {51--68},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2003},
MRCLASS = {20F36 (20C08)},
MRNUMBER = {2024629 (2004j:20077)},
MRREVIEWER = {Luisa Paoluzzi},
}
@article {MR2402910,
AUTHOR = {Khovanskii, A. and Burda, Y.},
TITLE = {Degree of rational mappings, and the theorems of {S}turm and
{T}arski},
JOURNAL = {J. Fixed Point Theory Appl.},
FJOURNAL = {Journal of Fixed Point Theory and Applications},
VOLUME = {3},
YEAR = {2008},
NUMBER = {1},
PAGES = {79--93},
ISSN = {1661-7738},
MRCLASS = {14P10},
MRNUMBER = {MR2402910 (2009e:14102)},
MRREVIEWER = {Tobias Kaiser},
}
@book {MR1959408,
AUTHOR = {Burde, Gerhard and Zieschang, Heiner},
TITLE = {Knots},
SERIES = {de Gruyter Studies in Mathematics},
VOLUME = {5},
EDITION = {Second},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {xii+559},
ISBN = {3-11-017005-1},
MRCLASS = {57M25 (57-02)},
MRNUMBER = {MR1959408 (2003m:57005)},
}
@article {MR0220302,
AUTHOR = {Burdick, R. O.},
TITLE = {Oriented manifolds fibered over the circle},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {17},
YEAR = {1966},
PAGES = {449--452},
ISSN = {0002-9939},
MRCLASS = {57.10},
MRNUMBER = {0220302 (36 \#3368)},
MRREVIEWER = {Larry Smith},
}
@article {MR790192,
AUTHOR = {Burgess, C. E.},
TITLE = {Classification of surfaces},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {92},
YEAR = {1985},
NUMBER = {5},
PAGES = {349--354},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {57N05},
MRNUMBER = {790192 (87a:57015)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
DOI = {10.2307/2323134},
URL = {http://dx.doi.org/10.2307/2323134},
}
@article {MR715855,
AUTHOR = {Burns, R. G. and Solitar, Donald},
TITLE = {The indices of torsion-free subgroups of {F}uchsian groups},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {89},
YEAR = {1983},
NUMBER = {3},
PAGES = {414--418},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {20H10 (20F05)},
MRNUMBER = {MR715855 (85e:20035)},
MRREVIEWER = {W. W. Stothers},
DOI = {10.2307/2045485},
URL = {http://dx.doi.org/10.2307/2045485},
}
@book {MR1464692,
AUTHOR = {Buskes, Gerard and van Rooij, Arnoud},
TITLE = {Topological spaces},
SERIES = {Undergraduate Texts in Mathematics},
NOTE = {From distance to neighborhood},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+313},
ISBN = {0-387-94994-1},
MRCLASS = {54-01},
MRNUMBER = {MR1464692 (98f:54001)},
}
@article {MR0297258,
AUTHOR = {Buslaev, V. S.},
TITLE = {Quantization and the {WKB} method},
JOURNAL = {Trudy Mat. Inst. Steklov.},
FJOURNAL = {Akademiya Nauk SSSR. Trudy Matematicheskogo Instituta imeni V.
A. Steklova},
VOLUME = {110},
YEAR = {1970},
PAGES = {5--28},
ISSN = {0371-9685},
MRCLASS = {81.35 (81.46)},
MRNUMBER = {MR0297258 (45 \#6315)},
MRREVIEWER = {R. Seneor},
}
@article {MR0467854,
AUTHOR = {Buslaev, V. S.},
TITLE = {The generating integral and the {M}aslov canonical operator in
the {WKB} method},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {3},
YEAR = {1969},
NUMBER = {3},
PAGES = {17--31},
ISSN = {0374-1990},
MRCLASS = {58G99 (58F05)},
MRNUMBER = {MR0467854 (57 \#7705)},
MRREVIEWER = {J. S. Joel},
}
@article{butler_maslov_2007,
title = {The Maslov cocycle, smooth structures and real-analytic complete integrability},
url = {http://arxiv.org/abs/0708.3157},
abstract = {This paper studies smooth obstructions to integrability and proves two main results. First, it is shown that if a smooth topological n-torus admits a real-analytically completely integrable convex hamiltonian on its cotangent bundle, then the torus is diffeomorphic to the standard n-torus. This is the first known result where the smooth structure of a manifold obstructs complete integrability. Second, it is proven that each one of the {Witten-Kreck-Stolz} 7-manifolds admit a real-analytically completely integrable geodesic flow on its cotangent bundle. This gives examples of topological manifolds all of whose smooth structures admit a real-analytically completely integrable convex hamiltonian on its cotangent bundle. Additional examples are provided by Eschenburgh and {Aloff-Wallach} spaces.},
journal = {0708.3157},
author = {Leo T Butler},
month = aug,
year = {2007},
keywords = {{37J30,} {37K10,} {53D12,} {53D25,} {57R55,} {70H06,} {70H07,} Mathematics - Dynamical Systems, Mathematics - Symplectic Geometry},
}
@article {MR699560,
AUTHOR = {Byrnes, Christopher I.},
TITLE = {On a theorem of {H}ermite and {H}urwitz},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {50},
YEAR = {1983},
PAGES = {61--101},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {11E12 (93D05 94C05)},
MRNUMBER = {MR699560 (86f:11025)},
MRREVIEWER = {Johan G. Belinfante},
}
@article {MR1709099,
AUTHOR = {Byun, Yanghyun},
TITLE = {Tangent fibration of a {P}oincar\'e complex},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {59},
YEAR = {1999},
NUMBER = {3},
PAGES = {1101--1116},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {57P10 (55R25)},
MRNUMBER = {MR1709099 (2000f:57023)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article {MR1722152,
AUTHOR = {Byun, Yanghyun},
TITLE = {Tangent bundle of a manifold and its homotopy type},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {60},
YEAR = {1999},
NUMBER = {1},
PAGES = {303--307},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {57R22 (55R25)},
MRNUMBER = {MR1722152 (2000i:57050)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR1868694,
AUTHOR = {Byun, Yanghyun and Yi, Seunghun},
TITLE = {Product formula for self-intersection numbers},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {200},
YEAR = {2001},
NUMBER = {2},
PAGES = {313--330},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R42},
MRNUMBER = {MR1868694 (2002h:57036)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article {MR2337559,
AUTHOR = {Byun, Yanghyun},
TITLE = {The tangential end fibration of an aspherical {P}oincar\'e
complex},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {46},
YEAR = {2007},
NUMBER = {5},
PAGES = {507--525},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57P10},
MRNUMBER = {MR2337559},
MRREVIEWER = {J. P. E. Hodgson},
}
@book {MR2223704,
AUTHOR = {B{\"o}ttcher, Albrecht and Silbermann, Bernd},
TITLE = {Analysis of {T}oeplitz operators},
SERIES = {Springer Monographs in Mathematics},
EDITION = {Second},
NOTE = {Prepared jointly with Alexei Karlovich},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {xiv+665},
ISBN = {978-3-540-32434-8; 3-540-32434-8},
MRCLASS = {47-02 (47B35 47G10 47L80)},
MRNUMBER = {2223704 (2007k:47001)},
MRREVIEWER = {Estelle L. Basor},
}
@article {MR2008439,
AUTHOR = {Bailly, C. and Cabral, M. de J.},
TITLE = {L'octogone r\'egulier et la signature des formes quadratiques
enti\`eres non singuli\`eres},
NOTE = {With an appendix by G. Gahide},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {53},
YEAR = {2003},
NUMBER = {3},
PAGES = {749--766},
ISSN = {0373-0956},
CODEN = {AIFUA7},
MRCLASS = {11L07 (11E45 11E81)},
MRNUMBER = {2008439 (2004m:11126)},
MRREVIEWER = {Renaud Coulangeon},
URL = {http://aif.cedram.org/item?id=AIF_2003__53_3_749_0},
}
@article {MR2271451,
AUTHOR = {Cabrerizo, J. L. and Fern{\'a}ndez, M.},
TITLE = {Clairaut relation for geodesics of {H}opf tubes},
JOURNAL = {Acta Math. Hungar.},
FJOURNAL = {Acta Mathematica Hungarica},
VOLUME = {113},
YEAR = {2006},
NUMBER = {1-2},
PAGES = {51--62},
ISSN = {0236-5294},
MRCLASS = {53C22}fer,
MRNUMBER = {2271451 (2007k:53046)},
MRREVIEWER = {Angel Ferr{\'a}ndez},
DOI = {10.1007/s10474-006-0089-6},
URL = {http://dx.doi.org/10.1007/s10474-006-0089-6},
}
@article {MR1218310,
AUTHOR = {McIntyre, Margaret and Cairns, Grant},
TITLE = {A new formula for winding number},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {46},
YEAR = {1993},
NUMBER = {2},
PAGES = {149--159},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {55M25 (57N05)},
MRNUMBER = {MR1218310 (94k:55005)},
}
@article {MR00035,
AUTHOR = {Cairns, Stewart S.},
TITLE = {Homeomorphisms between topological and analytic manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {41},
YEAR = {1940},
PAGES = {796--808},
MRCLASS = {56.0X},
}
@article {MR0017531,
AUTHOR = {Cairns, Stewart S.},
TITLE = {The triangulation problem and its role in analysis},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {52},
YEAR = {1946},
PAGES = {545--571},
ISSN = {0002-9904},
MRCLASS = {56.0X},
MRNUMBER = {MR0017531 (8,166d)},
MRREVIEWER = {H. Freudenthal},
}
@article {MR0149491,
AUTHOR = {Cairns, Stewart S.},
TITLE = {A simple triangulation method for smooth manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {67},
YEAR = {1961},
PAGES = {389--390},
ISSN = {0002-9904},
MRCLASS = {57.01 (57.05)},
MRNUMBER = {MR0149491 (26 \#6978)},
MRREVIEWER = {H. Noguchi},
}
@book {MR0177419,
TITLE = {Differential and combinatorial topology. {A} {S}ymposium in
{H}onor of {M}arston {M}orse},
AUTHOR = {Cairns, Stewart S.},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1965},
PAGES = {vii+265 pp (1 plate)},
MRCLASS = {57.00},
MRNUMBER = {MR0177419 (31 \#1682)},
}
@book {MR0243508,
AUTHOR = {Cairns, Stewart S.},
TITLE = {Introductory topology},
SERIES = {Revised printing},
PUBLISHER = {The Ronald Press Co., New York},
YEAR = {1968},
PAGES = {ix+244},
MRCLASS = {55.00},
MRNUMBER = {MR0243508 (39 \#4829)},
}
@book {MR0245046,
AUTHOR = {Morse, Marston and Cairns, Stewart S.},
TITLE = {Critical point theory in global analysis and differential
topology: {A}n introduction},
SERIES = {Pure and Applied Mathematics, Vol. 33},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1969},
PAGES = {xii+389},
MRCLASS = {57.50},
MRNUMBER = {MR0245046 (39 \#6358)},
MRREVIEWER = {J. N. Mather},
}
@book {MR811633,
AUTHOR = {Cajori, Florian},
TITLE = {A history of mathematics},
EDITION = {Fourth},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {Bronx, NY},
YEAR = {1985},
PAGES = {viii+524},
ISBN = {0-8284-1303-X},
MRCLASS = {01A05},
MRNUMBER = {MR811633 (86k:01003)},
}
@book {notation,
AUTHOR = {Cajori, Florian},
TITLE = {A history of mathematics notation},
}
@article {MR2069805,
AUTHOR = {Calcut, Jack and King, H. C.},
TITLE = {Noncompact codimension-1 real algebraic manifolds},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {52},
YEAR = {2004},
NUMBER = {2},
PAGES = {361--373},
ISSN = {0026-2285},
MRCLASS = {14P25 (57R15 57R55)},
MRNUMBER = {MR2069805 (2005h:14138)},
MRREVIEWER = {Yildiray Ozan},
DOI = {10.1307/mmj/1091112080},
URL = {http://dx.doi.org/10.1307/mmj/1091112080},
}
@article {MR2852978,
AUTHOR = {Calcut, Jack and Gompf, Robert E. and McCarthy, John D.},
TITLE = {On fundamental groups of quotient spaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {159},
YEAR = {2012},
NUMBER = {1},
PAGES = {322--330},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {55Q05 (54B15)},
MRNUMBER = {2852978 (2012j:55015)},
MRREVIEWER = {Fabio Ferrari Ruffino},
DOI = {10.1016/j.topol.2011.09.038},
URL = {http://dx.doi.org/10.1016/j.topol.2011.09.038},
}
@book {MR2527432,
AUTHOR = {Calegari, Danny},
TITLE = {scl},
SERIES = {MSJ Memoirs},
VOLUME = {20},
PUBLISHER = {Mathematical Society of Japan},
ADDRESS = {Tokyo},
YEAR = {2009},
PAGES = {xii+209},
ISBN = {978-4-931469-53-2},
MRCLASS = {57M07 (20F65 20F67 20Jxx 37Exx 37Jxx)},
MRNUMBER = {MR2527432},
}
@article {MR1763062,
AUTHOR = {Calkin, Neil and Wilf, Herbert S.},
TITLE = {Recounting the rationals},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {107},
YEAR = {2000},
NUMBER = {4},
PAGES = {360--363},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {11B75},
MRNUMBER = {1763062 (2001d:11024)},
MRREVIEWER = {H. L. Abbott},
DOI = {10.2307/2589182},
URL = {http://dx.doi.org/10.2307/2589182},
}
@article {MR0131846,
AUTHOR = {Calugareanu, G.},
TITLE = {L'int\'egrale de {G}auss et l'analyse des n\oe uds
tridimensionnels},
JOURNAL = {Rev. Math. Pures Appl.},
VOLUME = {4},
YEAR = {1959},
PAGES = {5--20},
MRCLASS = {53.90},
MRNUMBER = {0131846 (24 \#A1693)},
MRREVIEWER = {H. Komm},
}
@article {MR0212803,
AUTHOR = {Calugareanu, G.},
TITLE = {Sur les courbes ferm\'ees simples trac\'ees sur une surface
ferm\'ee orientable},
JOURNAL = {Mathematica (Cluj)},
FJOURNAL = {Mathematica---Revue d'Analyse Num\'erique et de Th\'eorie de
l'Approximation},
VOLUME = {8 (31)},
YEAR = {1966},
PAGES = {29--38},
ISSN = {0025-5505},
MRCLASS = {55.70 (54.00)},
MRNUMBER = {0212803 (35 \#3668)},
MRREVIEWER = {B. L. Reinhart},
}
@article {MR0234456,
AUTHOR = {Calugareanu, G.},
TITLE = {Courbes ferm\'ees simples sur une surface ferm\'ee orientable},
JOURNAL = {Mathematica (Cluj)},
FJOURNAL = {Mathematica---Revue d'Analyse Num\'erique et de Th\'eorie de
l'Approximation},
VOLUME = {9 (32)},
YEAR = {1967},
PAGES = {225--231},
ISSN = {0025-5505},
MRCLASS = {55.40},
MRNUMBER = {0234456 (38 \#2773)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0494113,
AUTHOR = {Cannon, J. W.},
TITLE = {The recognition problem: what is a topological manifold?},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {84},
YEAR = {1978},
NUMBER = {5},
PAGES = {832--866},
ISSN = {0002-9904},
MRCLASS = {57-02},
MRNUMBER = {MR0494113 (58 \#13043)},
MRREVIEWER = {R. C. Lacher},
}
@inproceedings {MR562640,
AUTHOR = {Cannon, J. W.},
TITLE = {The characterization of topological manifolds of dimension
{$n\geq 5$}},
BOOKTITLE = {Proceedings of the International Congress of Mathematicians
(Helsinki, 1978)},
PAGES = {449--454},
PUBLISHER = {Acad. Sci. Fennica},
ADDRESS = {Helsinki},
YEAR = {1980},
MRCLASS = {57N15 (54B15 57N45 57P99)},
MRNUMBER = {MR562640 (82f:57011)},
MRREVIEWER = {John Hempel},
}
@article {MR1809259,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {The {B}iot-{S}avart operator for application to knot theory,
fluid dynamics, and plasma physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {42},
YEAR = {2001},
NUMBER = {2},
PAGES = {876--905},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {78A25 (57M25 76W05)},
MRNUMBER = {1809259 (2002e:78002)},
MRREVIEWER = {Zensho Yoshida},
DOI = {10.1063/1.1329659},
URL = {http://dx.doi.org/10.1063/1.1329659},
}
@book {MR0045635,
AUTHOR = {Cantor, Georg},
TITLE = {Contributions to the founding of the theory of transfinite
numbers},
NOTE = {Translated, and provided with an introduction and notes, by
Philip E. B. Jourdain},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York, N. Y.},
YEAR = {1952},
PAGES = {ix+211},
MRCLASS = {01.0X},
MRNUMBER = {MR0045635 (13,612d)},
}
@book{MR517,
AUTHOR = {Cantor, Georg},
TITLE = {Gesammelte {A}bhandlungen mathematischen und philosophischen
{I}nhalts. {M}it erl\"auternden {A}nmerkungen sowie mit
{E}rg\"anzungen aus dem {B}riefwechsel {C}antor-{D}edekind},
SERIES = {Herausgegeben von Ernst Zermelo. Nebst einem Lebenslauf
Cantors von Adolf Fraenkel},
PUBLISHER = {Georg Olms Verlagsbuchhandlung, Hildesheim},
YEAR = {1962},
PAGES = {vii+486 pp. (1 plate)},
MRCLASS = {01.60 (00.00)},
MRNUMBER = {0148517 (26 \#6024)},
}
@article {cantor,
author={Cantor, Georg},
title={Ein Beitrag zur Mannigfaltigkeitslehre},
journal={Crelle},
year={1878},
volume={84},
pages={242-258},
}
@book {MR0268896,
AUTHOR = {Cantrell, J. C.},
TITLE = {Topology of manifolds},
SERIES = {Proceedings of the University of Georgia Topology of Manifolds
Institute},
VOLUME = {1969},
PUBLISHER = {Markham Publishing Co., Chicago, Ill.},
YEAR = {1970},
PAGES = {xiv+514},
MRCLASS = {57.00 (54.00)},
MRNUMBER = {MR0268896 (42 \#3793)},
}
@article {MR0285010,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {A splitting theorem for manifolds and surgery groups},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {77},
YEAR = {1971},
PAGES = {281--286},
MRCLASS = {57.01},
MRNUMBER = {MR0285010 (44 \#2234)},
MRREVIEWER = {J. G. Hollingsworth},
}
@article {MR0301750,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {On four dimensional surgery and applications},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {46},
YEAR = {1971},
PAGES = {500--528},
ISSN = {0010-2571},
MRCLASS = {57D65},
MRNUMBER = {MR0301750 (46 \#905)},
MRREVIEWER = {J. Milnor},
}
@article {MR0339216,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {The codimension two placement problem and homology equivalent
manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {99},
YEAR = {1974},
PAGES = {277--348},
ISSN = {0003-486X},
MRCLASS = {57D40},
MRNUMBER = {MR0339216 (49 \#3978)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0339225,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {Splitting obstructions for {H}ermitian forms and manifolds
with {$Z\sb{2}\subset \pi \sb{1}$}},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {79},
YEAR = {1973},
PAGES = {909--913},
MRCLASS = {57D65 (57A35)},
MRNUMBER = {MR0339225 (49 \#3987)},
MRREVIEWER = {Ronnie Lee},
}
@article {MR0356091,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {Manifolds with fundamental group a generalized free product.
{I}},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {80},
YEAR = {1974},
PAGES = {1193--1198},
MRCLASS = {57D65 (57A35 57C35 57D40 57D80)},
MRNUMBER = {MR0356091 (50 \#8562)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0358793,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {On connected sums of manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {395--400},
ISSN = {0040-9383},
MRCLASS = {57C10 (57D65)},
MRNUMBER = {MR0358793 (50 \#11252)},
MRREVIEWER = {K. W. Kwun},
}
@article {MR0358815,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {Unitary nilpotent groups and {H}ermitian {$K$}-theory. {I}},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {80},
YEAR = {1974},
PAGES = {1117--1122},
MRCLASS = {57D65 (16A54 18F25)},
MRNUMBER = {MR0358815 (50 \#11274)},
MRREVIEWER = {R. Schultz},
}
@incollection {MR0380815,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Branched cyclic coverings},
BOOKTITLE = {Knots, groups and $3$-manifolds (Papers dedicated to the
memory of R. H. Fox)},
PAGES = {165--173. Ann. of Math. Studies, No. 84},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1975},
MRCLASS = {57C40},
MRNUMBER = {MR0380815 (52 \#1712)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0438359,
AUTHOR = {Cappell, Sylvain E.},
TITLE = {A splitting theorem for manifolds},
JOURNAL = {Invent. Math.},
VOLUME = {33},
YEAR = {1976},
NUMBER = {2},
PAGES = {69--170},
MRCLASS = {57D65},
MRNUMBER = {MR0438359 (55 \#11274)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0442946,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Totally spineless manifolds},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {21},
YEAR = {1977},
NUMBER = {2},
PAGES = {231--239},
ISSN = {0019-2082},
MRCLASS = {57C25 (57D65)},
MRNUMBER = {0442946 (56 \#1321)},
MRREVIEWER = {L. S. Husch},
}
@article {MR1016041,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {A symplectic geometry approach to generalized {C}asson's
invariants of {$3$}-manifolds},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {22},
YEAR = {1990},
NUMBER = {2},
PAGES = {269--275},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57N10},
MRNUMBER = {MR1016041 (91b:57024)},
MRREVIEWER = {Daniel Lines},
DOI = {10.1090/S0273-0979-1990-15885-9},
URL = {http://dx.doi.org/10.1090/S0273-0979-1990-15885-9},
}
@article {MR1102578,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Stratifiable maps and topological invariants},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {4},
YEAR = {1991},
NUMBER = {3},
PAGES = {521--551},
ISSN = {0894-0347},
MRCLASS = {57R45 (55P10 57N80)},
MRNUMBER = {1102578 (92d:57024)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2307/2939268},
URL = {http://dx.doi.org/10.2307/2939268},
}
@article {MR1127478,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Singular spaces, characteristic classes, and intersection
homology},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {134},
YEAR = {1991},
NUMBER = {2},
PAGES = {325--374},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57N80 (14B05 55N33)},
MRNUMBER = {MR1127478 (92m:57026)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR1184405,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Invariants of {$3$}-manifolds from conformal field theory},
BOOKTITLE = {Topology '90 ({C}olumbus, {OH}, 1990)},
SERIES = {Ohio State Univ. Math. Res. Inst. Publ.},
VOLUME = {1},
PAGES = {91--109},
PUBLISHER = {de Gruyter},
ADDRESS = {Berlin},
YEAR = {1992},
MRCLASS = {57M25 (57N10 81T40)},
MRNUMBER = {1184405 (94c:57003)},
MRREVIEWER = {Toshitake Kohno},
}
@article {MR1263126,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {On the {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {47},
YEAR = {1994},
NUMBER = {2},
PAGES = {121--186},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {57R20 (15A63 58E05 58F05)},
MRNUMBER = {MR1263126 (95f:57045)},
MRREVIEWER = {Sergey S. Anisov},
}
@article {MR1391757,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{I}. {L}ow eigenmodes and stretching},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {8},
PAGES = {825--866},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1391757 (97g:58162)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
}
@article {MR1399200,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{II}. {S}pectral flow and {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {9},
PAGES = {869--909},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1399200 (97g:58163)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
}
@article {MR1670052,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{III}. {D}eterminant line bundles and {L}agrangian
intersection},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {52},
YEAR = {1999},
NUMBER = {5},
PAGES = {543--611},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58J30 (53D12 57R57 58J20 58J28 58J52)},
MRNUMBER = {MR1670052 (2000j:58043)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
}
@article {MR1992279,
AUTHOR = {Banagl, Markus and Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Computing twisted signatures and {$L$}-classes of stratified
spaces},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {326},
YEAR = {2003},
NUMBER = {3},
PAGES = {589--623},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {32S60 (55N25 55N33 57R20 57R45)},
MRNUMBER = {MR1992279 (2004i:32047)},
MRREVIEWER = {Burt Totaro},
}
@article {MR2372895,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera and characteristic classes of complex algebraic
varieties},
JOURNAL = {Electron. Res. Announc. Math. Sci.},
FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
VOLUME = {15},
YEAR = {2008},
PAGES = {1--7},
ISSN = {1935-9179},
MRCLASS = {32S35 (14D07 32S60 55N33)},
MRNUMBER = {MR2372895 (2009c:32055)},
MRREVIEWER = {Markus Banagl},
}
@article {MR2376848,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson,
Julius L.},
TITLE = {Hodge genera of algebraic varieties. {I}},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {61},
YEAR = {2008},
NUMBER = {3},
PAGES = {422--449},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {14F43 (14C35 14F05 19E20)},
MRNUMBER = {MR2376848 (2009f:14039)},
MRREVIEWER = {Jyh-Haur Teh},
DOI = {10.1002/cpa.20202},
URL = {http://dx.doi.org/10.1002/cpa.20202},
}
@article {MR2507108,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson, Julius
L.},
TITLE = {Equivariant genera of complex algebraic varieties},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2009},
NUMBER = {11},
PAGES = {2013--2037},
ISSN = {1073-7928},
MRCLASS = {32J25 (14D07 14F43 14L30 32S60)},
MRNUMBER = {MR2507108 (2010e:32016)},
MRREVIEWER = {Markus Banagl},
@article {MR543555,
AUTHOR = {Durfee, Alan},
TITLE = {Fifteen characterizations of rational double points and simple
critical points},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {25},
YEAR = {1979},
NUMBER = {1-2},
PAGES = {131--163},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {14B05 (32B30 32C40 57Q45 58C27)},
MRNUMBER = {MR543555 (80m:14003)},
MRREVIEWER = {P. Orlik},
}
@article {MR2545873,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera of algebraic varieties. {II}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {345},
YEAR = {2009},
NUMBER = {4},
PAGES = {925--972},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {14C30 (58Jxx)},
MRNUMBER = {MR2545873},
DOI = {10.1007/s00208-009-0389-6},
URL = {http://dx.doi.org/10.1007/s00208-009-0389-6},
}
@article {MR569244,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Link cobordism},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {1},
PAGES = {20--49},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45},
MRNUMBER = {MR569244 (81j:57011)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR780578,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Linking numbers in branched covers},
BOOKTITLE = {Four-manifold theory ({D}urham, {N}.{H}., 1982)},
SERIES = {Contemp. Math.},
VOLUME = {35},
PAGES = {165--179},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1984},
MRCLASS = {57M25 (57M12)},
MRNUMBER = {MR780578 (87a:57008)},
MRREVIEWER = {G. Burde},
}
@incollection {MR873283,
AUTHOR = {Cappell, Sylvain E. and Weinberger, Shmuel},
TITLE = {A geometric interpretation of {S}iebenmann's periodicity
phenomenon},
BOOKTITLE = {Geometry and topology (Athens, Ga., 1985)},
SERIES = {Lecture Notes in Pure and Appl. Math.},
VOLUME = {105},
PAGES = {47--52},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1987},
MRCLASS = {57R19 (19G24 19M05 57M12 57R67)},
MRNUMBER = {MR873283 (88f:57040)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR928028,
AUTHOR = {Cappell, Sylvain E. and Ruberman, Daniel},
TITLE = {Imbeddings and homology cobordisms of lens spaces},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {63},
YEAR = {1988},
NUMBER = {1},
PAGES = {75--88},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R40 (19G24 57Q60)},
MRNUMBER = {928028 (89c:57040)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1007/BF02566753},
URL = {http://dx.doi.org/10.1007/BF02566753},
}
@article {MR1469141,
AUTHOR = {Cardenas, M. and Pedersen, Erik K.},
TITLE = {On the {K}aroubi filtration of a category},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {12},
YEAR = {1997},
NUMBER = {2},
PAGES = {165--191},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {18F25 (19D10)},
MRNUMBER = {MR1469141 (98g:18012)},
MRREVIEWER = {Frank Neumann},
}
@article {card,
AUTHOR = {Cardenas, M.},
TITLE = {Localization in exact categories},
}
@article {MR1641091,
AUTHOR = {Cardim, Nancy},
TITLE = {Embeddings of open manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {351},
YEAR = {1999},
NUMBER = {6},
PAGES = {2353--2373},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57N35 (55R65)},
MRNUMBER = {MR1641091 (99i:57042)},
}
@article {MR1341817,
AUTHOR = {Carlsson, Gunnar and Pedersen, Erik K.},
TITLE = {Controlled algebra and the {N}ovikov conjectures for {$K$}-
and {$L$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {3},
PAGES = {731--758},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D10 (19G24 55R40)},
MRNUMBER = {MR1341817 (96f:19006)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR1361898,
AUTHOR = {Carlsson, Gunnar and Milgram, R. J.},
TITLE = {Stable homotopy and iterated loop spaces},
BOOKTITLE = {Handbook of algebraic topology},
PAGES = {505--583},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1995},
MRCLASS = {55P35 (55P42)},
MRNUMBER = {MR1361898 (97j:55007)},
MRREVIEWER = {Lionel Schwartz},
}
@article {MR2121296,
AUTHOR = {Zomorodian, Afra and Carlsson, Gunnar},
TITLE = {Computing persistent homology},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {33},
YEAR = {2005},
NUMBER = {2},
PAGES = {249--274},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {55N99 (55-04 55U10)},
MRNUMBER = {MR2121296 (2005j:55004)},
MRREVIEWER = {Donald M. Davis},
}
@incollection {MR2181819,
AUTHOR = {Carlsson, Gunnar},
TITLE = {Deloopings in algebraic {$K$}-theory},
BOOKTITLE = {Handbook of {$K$}-theory. {V}ol. 1, 2},
PAGES = {3--37},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2005},
MRCLASS = {19D10 (55P48)},
MRNUMBER = {2181819 (2007e:19004)},
DOI = {10.1007/978-3-540-27855-9_1},
URL = {http://dx.doi.org/10.1007/978-3-540-27855-9_1},
}
@incollection {MR561222,
AUTHOR = {Carlsson, Gunnar},
TITLE = {Desuspension in the symmetric {$L$}-groups},
BOOKTITLE = {Algebraic topology, {A}arhus 1978 ({P}roc. {S}ympos., {U}niv.
{A}arhus, {A}arhus, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {763},
PAGES = {175--197},
PUBLISHER = {Springer, Berlin},
YEAR = {1979},
MRCLASS = {18F25 (57R67)},
MRNUMBER = {561222 (81c:18016)},
MRREVIEWER = {Ross Staffeldt},
}
@article {MR578802,
AUTHOR = {Carlsson, Gunnar},
TITLE = {Wu invariants of {H}ermitian forms},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {65},
YEAR = {1980},
NUMBER = {1},
PAGES = {188--205},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {10C05 (55N35)},
MRNUMBER = {578802 (81m:10037)},
MRREVIEWER = {Donald Maurer},
DOI = {10.1016/0021-8693(80)90245-8},
URL = {http://dx.doi.org/10.1016/0021-8693(80)90245-8},
}
@article {MR587092,
AUTHOR = {Carlsson, Gunnar},
TITLE = {On the {W}itt group of a {$2$}-adic group ring},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {31},
YEAR = {1980},
NUMBER = {123},
PAGES = {283--313},
ISSN = {0033-5606},
CODEN = {QJMAAT},
MRCLASS = {18F30 (57R67)},
MRNUMBER = {587092 (81k:18012)},
MRREVIEWER = {P. Donovan},
DOI = {10.1093/qmath/31.3.283},
URL = {http://dx.doi.org/10.1093/qmath/31.3.283},
}
@article{goldcarl,
AUTHOR = {Carlsson, Gunnar and Goldfarb, Boris},
TITLE = {Bounded K-theory of exact categories},
}
@book {MR1731415,
AUTHOR = {Cartan, Henri and Eilenberg, Samuel},
TITLE = {Homological algebra},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {With an appendix by David A. Buchsbaum,
Reprint of the 1956 original},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1999},
PAGES = {xvi+390},
ISBN = {0-691-04991-2},
MRCLASS = {18Gxx (01A75)},
MRNUMBER = {MR1731415 (2000h:18022)},
}
@article {MR561543,
AUTHOR = {Carter, David W.},
TITLE = {Localization in lower algebraic {$K$}-theory},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {8},
YEAR = {1980},
NUMBER = {7},
PAGES = {603--622},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {18F25},
MRNUMBER = {MR561543 (81c:18017)},
MRREVIEWER = {Howard Lyn Hiller},
}
@book {MR1341588,
AUTHOR = {Carter, J. Scott},
TITLE = {How surfaces intersect in space},
SERIES = {Series on Knots and Everything},
VOLUME = {2},
EDITION = {Second},
NOTE = {An introduction to topology},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
PAGES = {xx+318},
ISBN = {981-02-2082-0; 981-02-2066-9},
MRCLASS = {57N35 (57-01 57M25 57Q35 57Q45)},
MRNUMBER = {MR1341588 (96b:57022)},
}
@book {MR2060067,
AUTHOR = {Carter, J. Scott and Kamada, Seiichi and Saito, Masahico},
TITLE = {Surfaces in 4-space},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {142},
NOTE = {Low-Dimensional Topology, III},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {xiv+213},
ISBN = {3-540-21040-7},
MRCLASS = {57Q45 (57M25 57R40)},
MRNUMBER = {MR2060067 (2005e:57065)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR607113,
AUTHOR = {Caruso, J. and Waner, S.},
TITLE = {An approximation to {$\Omega \sp{n}\Sigma \sp{n}X$}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {265},
YEAR = {1981},
NUMBER = {1},
PAGES = {147--162},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (55P40)},
MRNUMBER = {MR607113 (82i:55006)},
MRREVIEWER = {J. P. May},
}
@article {MR607114,
AUTHOR = {Caruso, J.},
TITLE = {A simpler approximation to {$QX$}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {265},
YEAR = {1981},
NUMBER = {1},
PAGES = {163--167},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (55P47)},
MRNUMBER = {MR607114 (82i:55007)},
MRREVIEWER = {J. P. May},
}
@article {MR719669,
AUTHOR = {Caruso, J. and Cohen, F. R. and May, J. Peter and Taylor, Laurence R.},
TITLE = {James maps, {S}egal maps, and the {K}ahn-{P}riddy theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {281},
YEAR = {1984},
NUMBER = {1},
PAGES = {243--283},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (18F25 19L64 55P47 55Q05 55Q25 55S15)},
MRNUMBER = {MR719669 (86g:55007)},
MRREVIEWER = {Ralph L. Cohen},
}
@book {MR522835,
AUTHOR = {Cassels, J. W. S.},
TITLE = {Rational quadratic forms},
SERIES = {London Mathematical Society Monographs},
VOLUME = {13},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1978},
PAGES = {xvi+413},
ISBN = {0-12-163260-1},
MRCLASS = {10C05 (10-01 15A63)},
MRNUMBER = {522835 (80m:10019)},
MRREVIEWER = {Charles J. Parry},
}
@article {MR0217809,
AUTHOR = {Casson, Andrew},
TITLE = {Fibrations over spheres},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {6},
YEAR = {1967},
PAGES = {489--499},
ISSN = {0040-9383},
MRCLASS = {57.30 (55.25)},
MRNUMBER = {0217809 (36 \#898)},
MRREVIEWER = {R. H. Rosen},
}
@article {MR0436144,
AUTHOR = {Casson, Andrew and Gottlieb, Daniel Henry},
TITLE = {Fibrations with compact fibres},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {99},
YEAR = {1977},
NUMBER = {1},
PAGES = {159--189},
ISSN = {0002-9327},
MRCLASS = {55F99},
MRNUMBER = {MR0436144 (55 \#9094)},
MRREVIEWER = {David Handel},
}
@incollection {MR520521,
AUTHOR = {Casson, Andrew and Gordon, C. McA.},
TITLE = {On slice knots in dimension three},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {39--53},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57M25},
MRNUMBER = {MR520521 (81g:57003)},
}
@incollection {MR900252,
AUTHOR = {Casson, Andrew and Gordon, C. McA.},
TITLE = {Cobordism of classical knots},
BOOKTITLE = {\`A la recherche de la topologie perdue},
SERIES = {Progr. Math.},
VOLUME = {62},
PAGES = {181--199},
NOTE = {With an appendix by P. M. Gilmer},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1986},
MRCLASS = {57R90 (57M25)},
MRNUMBER = {MR900252},
}
@article {cassonsimp,
AUTHOR = {Casson, Andrew},
TITLE = {Notes on simple homotopy theory},
YEAR = {1970},
}
@articl{topnotes,
AUTHOR = {Casson, Andrew},
TITLE = {Notes on topological manifolds},
}
@article {Cayley1,
AUTHOR = {Cayley, A.},
TITLE = {Mathematical papers, Volume 1},
YEAR = {1841--1851},
}
@article {Cayley2,
AUTHOR = {Cayley, A.},
TITLE = {Mathematical papers, Volume 2},
YEAR = {1851--1857},
}
@article {Cayley3,
AUTHOR = {Cayley, A.},
TITLE = {Mathematical papers, Volume 3},
YEAR = {1857--1862},
}
@article {Cayley4,
AUTHOR = {Cayley, A.},
TITLE = {Mathematical papers, Volume 4},
YEAR = {1854--1862},
}
@article {MR2393628,
AUTHOR = {Cazanave, Christophe},
TITLE = {Classes d'homotopie de fractions rationnelles},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
VOLUME = {346},
YEAR = {2008},
NUMBER = {3-4},
PAGES = {129--133},
ISSN = {1631-073X},
MRCLASS = {14F35},
MRNUMBER = {2393628 (2009c:14030)},
MRREVIEWER = {Christian Haesemeyer},
DOI = {10.1016/j.crma.2008.01.004},
URL = {http://dx.doi.org/10.1016/j.crma.2008.01.004},
}
@article {MR0292089,
AUTHOR = {Cerf, Jean},
TITLE = {La stratification naturelle des espaces de fonctions
diff\'erentiables r\'eelles et le th\'eor\`eme de la
pseudo-isotopie},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {39},
YEAR = {1970},
PAGES = {5--173},
ISSN = {0073-8301},
MRCLASS = {58D99 (57D35)},
MRNUMBER = {0292089 (45 \#1176)},
MRREVIEWER = {J. Milnor},
}
@article{MR1692511,
AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung},
TITLE = {Signature invariants of links from irregular covers and
non-abelian covers},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {127},
YEAR = {1999},
NUMBER = {1},
PAGES = {67--81},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57M27 (57M12 57M25)},
MRNUMBER = {1692511 (2000d:57014)},
MRREVIEWER = {Sadayoshi Kojima},
DOI = {10.1017/S0305004199003606},
URL = {http://dx.doi.org/10.1017/S0305004199003606},
}
@article{MR1923217,
AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung},
TITLE = {Signatures of links in rational homology spheres},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {6},
PAGES = {1161--1182},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45 (57M25 57Q60)},
MRNUMBER = {1923217 (2003g:57036)},
MRREVIEWER = {Swatee Naik},
DOI = {10.1016/S0040-9383(01)00029-5},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00029-5},
}
@article {MR1990582,
AUTHOR = {Cha, Jae Choon},
TITLE = {Fibred knots and twisted {A}lexander invariants},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {355},
YEAR = {2003},
NUMBER = {10},
PAGES = {4187--4200 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57M25},
MRNUMBER = {MR1990582 (2004e:57008)},
MRREVIEWER = {Peiyi Zhao},
}
@article {MR2054808,
AUTHOR = {Cha, Jae Choon and Livingston, Charles},
TITLE = {Knot signature functions are independent},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {132},
YEAR = {2004},
NUMBER = {9},
PAGES = {2809--2816 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M25 (11E39)},
MRNUMBER = {MR2054808 (2005d:57004)},
MRREVIEWER = {Alexander Zvonkin},
}
@article {MR2343079,
AUTHOR = {Cha, Jae Choon},
TITLE = {The structure of the rational concordance group of knots},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {189},
YEAR = {2007},
NUMBER = {885},
PAGES = {x+95},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {57M25 (57Q45 57Q60)},
MRNUMBER = {MR2343079 (2009c:57007)},
MRREVIEWER = {Swatee Naik},
}
@article {MR2639313,
AUTHOR = {Cha, Jae Choon},
TITLE = {Link concordance, homology cobordism, and {H}irzebruch-type
defects from iterated {$p$}-covers},
JOURNAL = {J. Eur. Math. Soc. (JEMS)},
FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
VOLUME = {12},
YEAR = {2010},
NUMBER = {3},
PAGES = {555--610},
ISSN = {1435-9855},
MRCLASS = {57M25},
MRNUMBER = {2639313},
DOI = {10.4171/JEMS/209},
URL = {http://dx.doi.org/10.4171/JEMS/209},
}
@article{cha_amenable_2010,
title = {Amenable L2-theoretic methods and knot concordance},
url = {http://arxiv.org/abs/1010.1058},
abstract = {We introduce new obstructions to topological knot concordance. These are obtained from amenable groups in Strebel's class, possibly with torsion, using a recently suggested {\$L{\textasciicircum}2\$-theoretic} method due to Orr and the author. Concerning \$(h)\$-solvable knots which are defined in terms of certain Whitney towers of height \$h\$ in bounding 4-manifolds, we use the obstructions to reveal new structure in the knot concordance group not detected by prior known invariants: for any \$n{\textgreater}1\$ there are \$(n)\$-solvable knots which are not \$(n.5)\$-solvable (and therefore not slice) but have vanishing {Cochran-Orr-Teichner} {\$L{\textasciicircum}2\$-signature} obstructions as well as Levine algebraic obstructions and {Casson-Gordon} invariants.},
journal = {1010.1058},
author = {Jae Choon Cha},
month = oct,
year = {2010},
keywords = {{57M25,} {57M27,} {57N70,} Mathematics - Geometric Topology},
}
@article{cha_twisted_2010,
title = {Twisted torsion invariants and link concordance},
url = {http://arxiv.org/abs/1001.0926},
abstract = {The twisted torsion of a 3-manifold is well-known to be zero whenever the corresponding twisted Alexander module is non-torsion. Under mild extra assumptions we introduce a new twisted torsion invariant which is always non-zero. We show how this torsion invariant relates to the twisted intersection form of a bounding 4-manifold, generalizing a theorem of Milnor. Using this result, we give new obstructions to 3-manifolds being homology cobordant and to links being concordant. These obstructions are sufficiently strong to detect that the Bing double of the figure eight knot is not slice.},
journal = {1001.0926},
author = {Jae Choon Cha and Stefan Friedl},
year = {2010},
keywords = {{57M25,} {57M27,} {57N70,} Mathematics - Geometric Topology},
}
@article {chaorr,
AUTHOR = {Cha, Jae Choon and Orr, Kent E.},
TITLE = {L^2-signatures, homology localization and amenable groups},
JOURNAL = {arXiv:09103.3700},
}
@article {CHAMGIBB,
AUTHOR = {Chamblin, A. and Gibbons, G. W.},
TITLE = {Topology and time reversal},
YEAR = {1995},
}
@article {MR0391109,
AUTHOR = {Chapman, T. A.},
TITLE = {Topological invariance of {W}hitehead torsion},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {96},
YEAR = {1974},
PAGES = {488--497},
ISSN = {0002-9327},
MRCLASS = {57C10},
MRNUMBER = {MR0391109 (52 \#11931)},
MRREVIEWER = {K. W. Kwun},
}
@article {MR533192,
AUTHOR = {Chapman, T. A. and Ferry, S.},
TITLE = {Approximating homotopy equivalences by homeomorphisms},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {101},
YEAR = {1979},
NUMBER = {3},
PAGES = {583--607},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57N15},
MRNUMBER = {MR533192 (81f:57007b)},
MRREVIEWER = {Martin Scharlemann},
}
@book {MR711363,
AUTHOR = {Chapman, T. A.},
TITLE = {Controlled simple homotopy theory and applications},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1009},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1983},
PAGES = {i+94},
ISBN = {3-540-12338-5},
MRCLASS = {57Q10 (57R80)},
MRNUMBER = {MR711363 (85d:57016)},
MRREVIEWER = {Frank Quinn},
}
@article {MR2359852,
AUTHOR = {Charollois, Pierre},
TITLE = {Sommes de {D}edekind associ\'ees \`a un corps de nombres
totalement r\'eel},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {610},
YEAR = {2007},
PAGES = {125--147},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11F20 (11F11 11F25 11F66)},
MRNUMBER = {MR2359852 (2009b:11074)},
MRREVIEWER = {Anton Deitmar},
DOI = {10.1515/CRELLE.2007.069},
URL = {http://dx.doi.org/10.1515/CRELLE.2007.069},
}
@article {MR0256399,
AUTHOR = {Cheeger, J. and Kister, J. M.},
TITLE = {Counting topological manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {149--151},
ISSN = {0040-9383},
MRCLASS = {57.01 (54.00)},
MRNUMBER = {0256399 (41 \#1055)},
MRREVIEWER = {H. Noguchi},
}
@incollection {MR645745,
AUTHOR = {Cheeger, Jeff and Goresky, Mark and MacPherson, Robert},
TITLE = {{$L\sp{2}$}-cohomology and intersection homology of singular
algebraic varieties},
BOOKTITLE = {Seminar on {D}ifferential {G}eometry},
SERIES = {Ann. of Math. Stud.},
VOLUME = {102},
PAGES = {303--340},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1982},
MRCLASS = {58A14 (32J25 55N35 58A35)},
MRNUMBER = {MR645745 (84f:58005)},
MRREVIEWER = {Steven M. Zucker},
}
@article {MR730920,
AUTHOR = {Cheeger, Jeff},
TITLE = {Spectral geometry of singular {R}iemannian spaces},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {18},
YEAR = {1983},
NUMBER = {4},
PAGES = {575--657 (1984)},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58G25 (57R20 58G11)},
MRNUMBER = {MR730920 (85d:58083)},
MRREVIEWER = {J{\'o}zef Dodziuk},
}
@incollection {MR780040,
AUTHOR = {Cheeger, Jeff and Gromov, Mikhael},
TITLE = {On the characteristic numbers of complete manifolds of bounded
curvature and finite volume},
BOOKTITLE = {Differential geometry and complex analysis},
PAGES = {115--154},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {58G10 (53C20 58G11)},
MRNUMBER = {MR780040 (86h:58131)},
MRREVIEWER = {J{\'o}zef Dodziuk},
}
@article {MR806699,
AUTHOR = {Cheeger, Jeff and Gromov, Mikhael},
TITLE = {Bounds on the von {N}eumann dimension of {$L\sp 2$}-cohomology
and the {G}auss-{B}onnet theorem for open manifolds},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {21},
YEAR = {1985},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58G12 (53C20)},
MRNUMBER = {MR806699 (87d:58136)},
MRREVIEWER = {J{\'o}zef Dodziuk},
}
@article{chen1,
title = {Homological ring epimorphisms and recollements from exact pairs. I},
url = {http://arxiv.org/abs/1203.5168},
abstract = {Homological ring epimorphisms are often used in modern representation theory and algebraic {\$K\$-theory.} In this paper, we give some new characterizations of when a universal localization related to an `exact' pair of ring homomorphisms is homological. These characterizations are flexible and applicable to many cases, thus give rise to a wide variety of new recollements (of derived module categories) which have become of interest in and attracted increasing attentions towards to understanding invariants in algebra and geometry. As a consequence, we show that if \${\textbackslash}lambda: R{\textbackslash}ra S\$ is an injective homological ring epimorphism between commutative rings {\$R\$} and {\$S\$}, then the derived module category of the endomorphism ring of the {\$R\$-module} {\$S{\textbackslash}oplus} {S/R\$} always admits a recollement of the derived module categories of {\$R\$} and the tensor product {\$S{\textbackslash}otimes\_R} {End\_R(S/R)\$.} In particular, this result is applicable to localizations of integral domains by multiplicative sets in commutative rings.},
urldate = {2013-05-14},
journal = {{arXiv:1203.5168}},
author = {Chen, Hongxing and Xi, Changchang},
month = mar,
year = {2012},
keywords = {16, 18, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article{chen2,
title = {Homological ring epimorphisms and recollements {II:} Algebraic K-theory},
shorttitle = {Homological ring epimorphisms and recollements {II}},
url = {http://arxiv.org/abs/1212.1879},
abstract = {For a homological ring epimorphism from a ring R to another ring S, we prove that if the left R-module S has a finite-type resolution, then the algebraic K-theory space of R decomposes as a product of the ones of S and a differential graded algebra. In addition, if the homological ring epimorphism induces a recollement of derived module categories of rings, then the differential graded algebra involved can be replaced by a usual ring. This result is then applied to noncommutative localizations and to homological exact pairs introduced in the first paper of this series. For example, we get a long Mayer-Vietoris sequence of higher algebraic K-groups for homological Milnor squares, including a result of Karoubi.},
urldate = {2013-05-14},
journal = {{arXiv:1212.1879}},
author = {Chen, Hongxing and Xi, Changchang},
month = dec,
year = {2012},
keywords = {Mathematics - K-Theory and Homology, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article {MR0102539,
AUTHOR = {Chen, K.-T. and Fox, Ralph H. and Lyndon, R. C.},
TITLE = {Free differential calculus. {IV}. {T}he quotient groups of the
lower central series},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {81--95},
ISSN = {0003-486X},
MRCLASS = {20.00},
MRNUMBER = {MR0102539 (21 \#1330)},
MRREVIEWER = {R. H. Bruck},
}
@article {MR0068280,
AUTHOR = {Chern, S. S.},
TITLE = {La g\'eom\'etrie des sous-vari\'et\'es d'un espace euclidien
\`a plusieurs dimensions},
JOURNAL = {Enseignement Math.},
VOLUME = {40},
YEAR = {1951--1954},
PAGES = {26--46 (1955)},
MRCLASS = {53.0X},
MRNUMBER = {MR0068280 (16,856g)},
MRREVIEWER = {C. B. Allendoerfer},
}
@article {MR0087943,
AUTHOR = {Chern, S. S. and Hirzebruch, F. and Serre, Jean-Pierre},
TITLE = {On the index of a fibered manifold},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {8},
YEAR = {1957},
PAGES = {587--596},
MRCLASS = {55.0X},
MRNUMBER = {MR0087943 (19,441c)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0185607,
AUTHOR = {Bott, Raoul and Chern, S. S.},
TITLE = {Hermitian vector bundles and the equidistribution of the
zeroes of their holomorphic sections},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {114},
YEAR = {1965},
PAGES = {71--112},
ISSN = {0001-5962},
MRCLASS = {32.60 (57.30)},
MRNUMBER = {0185607 (32 \#3070)},
MRREVIEWER = {Phillip A. Griffiths},
}
@book {MR0225346,
AUTHOR = {Chern, S. S.},
TITLE = {Complex manifolds without potential theory},
SERIES = {Van Nostrand Mathematical Studies, No. 15},
PUBLISHER = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto,
Ont.-London},
YEAR = {1967},
PAGES = {iii+92},
MRCLASS = {57.60 (32.00)},
MRNUMBER = {MR0225346 (37 \#940)},
MRREVIEWER = {A. Nijenhuis},
}
@article {MR0011027,
AUTHOR = {Chern, Shiing-shen},
TITLE = {A simple intrinsic proof of the {G}auss-{B}onnet formula for
closed {R}iemannian manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {45},
YEAR = {1944},
PAGES = {747--752},
ISSN = {0003-486X},
MRCLASS = {53.0X},
MRNUMBER = {0011027 (6,106a)},
MRREVIEWER = {A. Weil},
}
@article {MR0014760,
AUTHOR = {Chern, Shiing-shen},
TITLE = {On the curvatura integra in a {R}iemannian manifold},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {46},
YEAR = {1945},
PAGES = {674--684},
ISSN = {0003-486X},
MRCLASS = {53.0X},
MRNUMBER = {0014760 (7,328c)},
MRREVIEWER = {H. Hopf},
}
@article{0011.14504,
author="Chevalley, Claude",
title="{D\'emonstration d'une hypoth\`ese de M. Artin.}",
language="French",
journal="Abh. Math. Semin. Hamb. Univ. ",
volume="11",
pages="73-75",
year="1935",
doi={10.1007/BF02940714},
keywords="{algebra, number theory}",
}
@book {MR0481884,
AUTHOR = {Chihara, T. S.},
TITLE = {An introduction to orthogonal polynomials},
NOTE = {Mathematics and its Applications, Vol. 13},
PUBLISHER = {Gordon and Breach Science Publishers},
ADDRESS = {New York},
YEAR = {1978},
PAGES = {xii+249},
ISBN = {0-677-04150-0},
MRCLASS = {42A52},
MRNUMBER = {MR0481884 (58 \#1979)},
MRREVIEWER = {A. G. Law},
}
@article {MR0300304,
AUTHOR = {Chillingworth, D. R. J.},
TITLE = {Winding numbers on surfaces. {I}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {196},
YEAR = {1972},
PAGES = {218--249},
ISSN = {0025-5831},
MRCLASS = {57D25},
MRNUMBER = {MR0300304 (45 \#9350)},
MRREVIEWER = {C. W. Patty},
}
@article {MR0321091,
AUTHOR = {Chillingworth, D. R. J.},
TITLE = {Winding numbers on surfaces. {II}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {199},
YEAR = {1972},
PAGES = {131--153},
ISSN = {0025-5831},
MRCLASS = {57A05 (55A05)},
MRNUMBER = {MR0321091 (47 \#9624)},
MRREVIEWER = {C. W. Patty},
}
@book {MR0206889,
AUTHOR = {Chinn, W. G. and Steenrod, N. E.},
TITLE = {First concepts of topology. {T}he geometry of mappings of
segments, curves, circles, and disks},
SERIES = {New Mathematical Library, Vol. 18},
PUBLISHER = {Random House},
ADDRESS = {New York},
YEAR = {1966},
PAGES = {viii+160},
MRCLASS = {54.00},
MRNUMBER = {MR0206889 (34 \#6705)},
MRREVIEWER = {M. Edelstein},
}
@article {MR2976096,
AUTHOR = {Choi, Younggi and Lee, Kyung Bai},
TITLE = {Holonomy displacements in the {H}opf bundles over {$\Bbb CH^n$} and the complex {H}eisenberg groups},
JOURNAL = {J. Korean Math. Soc.},
FJOURNAL = {Journal of the Korean Mathematical Society},
VOLUME = {49},
YEAR = {2012},
NUMBER = {4},
PAGES = {733--743},
ISSN = {0304-9914},
CODEN = {JKMSDG},
MRCLASS = {53C29 (32Q45 53C30)},
MRNUMBER = {2976096},
MRREVIEWER = {Hiroo Naitoh},
DOI = {10.4134/JKMS.2012.49.4.733},
URL = {http://dx.doi.org/10.4134/JKMS.2012.49.4.733},
}
@book {MR0121327a,
AUTHOR = {Chrystal, G.},
TITLE = {Algebra: {A}n elementary text-book for the higher classes of
secondary schools and for colleges, Part I},
SERIES = {6th ed},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1959},
PAGES = {Part I: xxiv+571 pp.},
MRCLASS = {00.00},
MRNUMBER = {MR0121327 (22 \#12066)},
}
@book {MR0121327b,
AUTHOR = {Chrystal, G.},
TITLE = {Algebra: {A}n elementary text-book for the higher classes of
secondary schools and for colleges, Part II},
SERIES = {6th ed},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1959},
PAGES = {Part II: xxiv+616},
MRCLASS = {00.00},
MRNUMBER = {MR0121327 (22 \#12066)},
}
@article {MR535561,
AUTHOR = {Clauwens, F. J.-B. J.},
TITLE = {Surgery on products. {I}, {II}},
JOURNAL = {Nederl. Akad. Wetensch. Indag. Math.},
FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae},
VOLUME = {41},
YEAR = {1979},
NUMBER = {2},
PAGES = {121--132, 133--144},
ISSN = {0019-3577},
CODEN = {IMTHBJ},
MRCLASS = {57R65},
MRNUMBER = {MR535561 (80k:57057)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR561223,
AUTHOR = {Clauwens, F. J.-B. J.},
TITLE = {Product formulae for surgery obstructions},
BOOKTITLE = {Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus,
Aarhus, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {763},
PAGES = {198--211},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57R67},
MRNUMBER = {MR561223 (81f:57035)},
MRREVIEWER = {Yu. P. Solovev},
}
@incollection {MR565824,
AUTHOR = {Clauwens, F. J.-B. J.},
TITLE = {The {$K$}-theory of almost symmetric forms},
BOOKTITLE = {Topological structures, II (Proc. Sympos. Topology and Geom.,
Amsterdam, 1978), Part 1},
SERIES = {Math. Centre Tracts},
VOLUME = {115},
PAGES = {41--49},
PUBLISHER = {Math. Centrum},
ADDRESS = {Amsterdam},
YEAR = {1979},
MRCLASS = {57R67 (18F25)},
MRNUMBER = {MR565824 (81f:57036)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR1870049,
AUTHOR = {Clerc, Jean-Louis and Orsted, B.},
TITLE = {The {M}aslov index revisited},
JOURNAL = {Transform. Groups},
FJOURNAL = {Transformation Groups},
VOLUME = {6},
YEAR = {2001},
NUMBER = {4},
PAGES = {303--320},
ISSN = {1083-4362},
MRCLASS = {53D12 (32M15)},
MRNUMBER = {MR1870049 (2002j:53103)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/BF01237249},
URL = {http://dx.doi.org/10.1007/BF01237249},
}
@article {MR2262778,
AUTHOR = {Clerc, Jean-Louis and Koufany, Khalid},
TITLE = {Primitive du cocycle de {M}aslov g\'en\'eralis\'e},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {337},
YEAR = {2007},
NUMBER = {1},
PAGES = {91--138},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {53D12 (32M15 37J05)},
MRNUMBER = {MR2262778 (2007j:53091)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/s00208-006-0028-4},
URL = {http://dx.doi.org/10.1007/s00208-006-0028-4},
}
@article {MR2264460,
AUTHOR = {Clerc, Jean-Louis and Neeb, Karl-Hermann},
TITLE = {Orbits of triples in the {S}hilov boundary of a bounded
symmetric domain},
JOURNAL = {Transform. Groups},
FJOURNAL = {Transformation Groups},
VOLUME = {11},
YEAR = {2006},
NUMBER = {3},
PAGES = {387--426},
ISSN = {1083-4362},
MRCLASS = {32M15 (53D12)},
MRNUMBER = {MR2264460 (2007j:32016)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/s00031-005-1117-2},
URL = {http://dx.doi.org/10.1007/s00031-005-1117-2},
}
@article {MR2301251,
AUTHOR = {Clerc, Jean-Louis},
TITLE = {An invariant for triples in the {S}hilov boundary of a bounded
symmetric domain},
JOURNAL = {Comm. Anal. Geom.},
FJOURNAL = {Communications in Analysis and Geometry},
VOLUME = {15},
YEAR = {2007},
NUMBER = {1},
PAGES = {147--173},
ISSN = {1019-8385},
MRCLASS = {32M15 (53D12)},
MRNUMBER = {MR2301251 (2008a:32021)},
MRREVIEWER = {Jacques Faraut},
URL = {http://projecteuclid.org/getRecord?id=euclid.cag/1175790907},
}
@article {quand,
AUTHOR = {Clerc, Jean-Louis},
TITLE = {Quand Elie Cartan et Victor Maslov ...},
}
@book {MR0238662,
AUTHOR = {Clifford, William Kingdon},
TITLE = {Mathematical papers},
SERIES = {Edited by Robert Tucker, with an introduction by H. J. Stephen
Smith },
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1968},
PAGES = {lxx+658},
MRCLASS = {01.60},
MRNUMBER = {MR0238662 (39 \#26)},
}
@article {MR1286923,
AUTHOR = {Cochran, Tim D. and Orr, Kent E.},
TITLE = {Homology boundary links and {B}lanchfield forms: concordance
classification and new tangle-theoretic constructions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {33},
YEAR = {1994},
NUMBER = {3},
PAGES = {397--427},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {MR1286923 (95f:57041)},
MRREVIEWER = {J. P. Levine},
}
@article {MR2077670,
AUTHOR = {Cochran, Tim D.},
TITLE = {Noncommutative knot theory},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {4},
YEAR = {2004},
PAGES = {347--398},
ISSN = {1472-2747},
MRCLASS = {57M27 (20F14)},
MRNUMBER = {MR2077670 (2005k:57023)},
MRREVIEWER = {Martin Scharlemann},
}
@article{cochran_higher-order_2010,
title = {Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders},
url = {http://arxiv.org/abs/1003.4977},
abstract = {We define families of invariants for elements of the mapping class group of S, a compact orientable surface. Fix any characteristic subgroup H of {pi\_1(S)} and restrict to {J(H),} any subgroup of mapping classes that induce the identity modulo H. To any unitary representation, r of {pi\_1(S)/H} we associate a higher-order rho\_r-invariant and a signature 2-cocycle sigma\_r. These signature cocycles are shown to be generalizations of the Meyer cocycle. In particular each rho\_r is a quasimorphism and each sigma\_r is a bounded 2-cocycle on {J(H).} In one of the simplest non-trivial cases, by varying r, we exhibit infinite families of linearly independent quasimorphisms and signature cocycles. We show that the rho\_r restrict to homomorphisms on certain interesting subgroups. Many of these invariants extend naturally to the full mapping class group and some extend to the monoid of homology cylinders based on S.},
journal = {1003.4977},
author = {Tim D. Cochran and Shelly Harvey and Peter Horn},
month = mar,
year = {2010},
keywords = {{57M07} (primary) {57S05} {57M99,} {32G15} (secondary), Mathematics - Geometric Topology},
}
@article{cochran_knot_2007,
title = {Knot concordance and Blanchfield duality},
url = {http://arxiv.org/abs/0705.3987},
abstract = {We introduce a new technique for showing classical knots and links are not slice. As one application we resolve a long-standing question as to whether certain natural families of knots contain topologically slice knots. We also present a simpler proof of the result of {Cochran-Teichner} that the successive quotients of the integral terms of the {Cochran-Orr-Teichner} filtration of the knot concordance group have rank 1. For links we have similar results. We show that the iterated Bing doubles of many algebraically slice knots are not topologically slice. Some of the proofs do not use the existence of the {Cheeger-Gromov} bound, a deep analytical tool used by {Cochran-Teichner.} Our main examples are actually boundary links but cannot be detected in the algebraic boundary link concordance group, nor by any \${\textbackslash}rho\$ invariants associated to solvable representations into finite unitary groups.},
journal = {0705.3987},
author = {Cochran, Tim D. and Harvey, Shelly and Leidy, Constance},
month = may,
year = {2007},
keywords ="{57M25}, Mathematics - Geometric Topology
}
@article{cochran_new_2007,
title = {New Constructions of Slice Links},
url = {http://arxiv.org/abs/0709.2148},
abstract = {We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general context for proving links are slice that includes many of the previously known results.},
journal = {0709.2148},
author = {Tim D. Cochran and Stefan Friedl and Peter Teichner},
month = sep,
year = {2007},
note = {Commentarii Math. Helv. 84, no.3, (2009), 617-638},
keywords = {{57M25,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{cochran_primary_2009,
title = {Primary decomposition and the fractal nature of knot concordance},
url = {http://arxiv.org/abs/0906.1373},
abstract = {For each sequence of polynomials, P=(p\_1(t),p\_2(t),...), we define a characteristic series of groups, called the derived series localized at P. Given a knot K in S{\textasciicircum}3, such a sequence of polynomials arises naturally as the orders of certain submodules of the sequence of higher-order Alexander modules of K. These group series yield new filtrations of the knot concordance group that refine the (n)-solvable filtration of {Cochran-Orr-Teichner.} We show that the quotients of successive terms of these refined filtrations have infinite rank. These results also suggest higher-order analogues of the p(t)-primary decomposition of the algebraic concordance group. We use these techniques to give evidence that the set of smooth concordance classes of knots is a fractal set. We also show that no {Cochran-Orr-Teichner} knot is concordant to any {Cochran-Harvey-Leidy} knot.},
journal = {0906.1373},
author = {Tim D. Cochran and Shelly Harvey and Constance Leidy},
month = jun,
year = {2009},
keywords = {{57M25,} {20J05,} Mathematics - Geometric Topology, Mathematics - Group Theory},
}
@article {cohale,
AUTHOR = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
TITLE = {Knot concordance and higher-order Blanchfield duality},
}
@article{cohale2,
title = {Derivatives of knots and second-order signatures},
author = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
journal = {Algebraic & Geometric Topology},
volume = {10},
year = {2010},
pages = {739�787},
}
@article{math.GT/0206059,
title = {{Structure in the classical knot concordance group}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
}
@article{math.GT/0411057,
title = {{Knot concordance and von Neumann $\rho$-invariants}},
author = {Tim D. Cochran and Peter Teichner},
}
@article{math.GT/9908117,
title = {{Knot concordance, Whitney towers and L^2 signatures}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
howpublished = {Ann. of Math. (2), Vol. 157 (2003), no. 2, 433--519},
}
@article {SeifertView,
AUTHOR = {van Wijk, Jarke J. and Cohen, Arjeh M.},
TITLE = {Visualization of Seifert Surfaces},
JOURNAL = {IEEE Trans. on visualization and computer graphics},
FJOURNAL = {IEEE Trans. on visualization and computer graphics},
VOLUME = {1},
YEAR = {2006},
PAGES = {1--13},
}
@book {MR0436146,
AUTHOR = {Cohen, F. R. and Lada, Thomas J. and May, J. Peter},
TITLE = {The homology of iterated loop spaces},
SERIES = {Lecture Notes in Mathematics, Vol. 533},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1976},
PAGES = {vii+490},
MRCLASS = {55G25 (55D35)},
MRNUMBER = {0436146 (55 \#9096)},
MRREVIEWER = {Peter J. Eccles},
}
@article {MR719669,
AUTHOR = {Caruso, J. and Cohen, F. R. and May, J. Peter and Taylor, Laurence R.},
TITLE = {James maps, {S}egal maps, and the {K}ahn-{P}riddy theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {281},
YEAR = {1984},
NUMBER = {1},
PAGES = {243--283},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (18F25 19L64 55P47 55Q05 55Q25 55S15)},
MRNUMBER = {MR719669 (86g:55007)},
MRREVIEWER = {Ralph L. Cohen},
}
@book {MR0273608,
AUTHOR = {Cohen, Joel M.},
TITLE = {Stable homotopy},
SERIES = {Lecture Notes in Mathematics, Vol. 165},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {v+194},
MRCLASS = {55.40},
MRNUMBER = {0273608 (42 \#8486)},
MRREVIEWER = {R. M. F. Moss},
}
@article {MR0210143,
AUTHOR = {Cohen, Marshall M.},
TITLE = {Simplicial structures and transverse cellularity},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {85},
YEAR = {1967},
PAGES = {218--245},
ISSN = {0003-486X},
MRCLASS = {57.05 (55.00)},
MRNUMBER = {MR0210143 (35 \#1037)},
MRREVIEWER = {M. L. Curtis},
}
@article {MR0275439,
AUTHOR = {Cohen, Marshall M.},
TITLE = {Homeomorphisms between homotopy manifolds and their
resolutions},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {10},
YEAR = {1970},
PAGES = {239--250},
ISSN = {0020-9910},
MRCLASS = {57.01 (55.00)},
MRNUMBER = {MR0275439 (43 \#1195)},
MRREVIEWER = {K. W. Kwun},
}
@book {MR0362320,
AUTHOR = {Cohen, Marshall M.},
TITLE = {A course in simple-homotopy theory},
NOTE = {Graduate Texts in Mathematics, Vol. 10},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {x+144},
MRCLASS = {57C10},
MRNUMBER = {MR0362320 (50 \#14762)},
MRREVIEWER = {R. M. F. Moss},
}
@article {umkehr,
AUTHOR = {Klein, John R. and Cohen, Ralph},
TITLE = {Umkehr maps},
}
@incollection {edelcsh,
AUTHOR = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John},
TITLE = {Extending persistent homology using Poincare and Lefschetz duality},
}
@article {MR0153696,
AUTHOR = {Cohn, P. M.},
TITLE = {Rings with a weak algorithm},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {109},
YEAR = {1963},
PAGES = {332--356},
ISSN = {0002-9947},
MRCLASS = {16.15},
MRNUMBER = {MR0153696 (27 \#3657)},
MRREVIEWER = {Rimhak Ree},
}
@article {MR0285561,
AUTHOR = {Cohn, P. M.},
TITLE = {Rings of fractions},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {78},
YEAR = {1971},
PAGES = {596--615},
ISSN = {0002-9890},
MRCLASS = {16.10},
MRNUMBER = {MR0285561 (44 \#2779)},
}
@article {MR0364324,
AUTHOR = {Cohn, P. M.},
TITLE = {Inversive localization in {N}oetherian rings},
NOTE = {Collection of articles dedicated to Wilhelm Magnus},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {26},
YEAR = {1973},
PAGES = {679--691},
ISSN = {0010-3640},
MRCLASS = {16A08},
MRNUMBER = {0364324 (51 \#579)},
MRREVIEWER = {C. M. Ringel},
}
@book {MR0422344,
AUTHOR = {Cohn, P. M.},
TITLE = {Morita equivalence and duality},
NOTE = {Reprinting of the 1966 edition,
Queen Mary College Mathematics Notes},
PUBLISHER = {Queen Mary College, London},
YEAR = {1976},
PAGES = {ii+79},
MRCLASS = {16A49},
MRNUMBER = {0422344 (54 \#10334)},
}
@article {MR0424551,
AUTHOR = {Cohn, P. M.},
TITLE = {The word problem for free fields},
JOURNAL = {J. Symbolic Logic},
FJOURNAL = {The Journal of Symbolic Logic},
VOLUME = {38},
YEAR = {1973},
PAGES = {309--314},
ISSN = {0022-4812},
MRCLASS = {02F47 (16A06)},
MRNUMBER = {MR0424551 (54 \#12511a)},
MRREVIEWER = {G. M. Bergman},
}
@article {MR0424552,
AUTHOR = {Cohn, P. M.},
TITLE = {The word problem for free fields:
a correction and an addendum},
JOURNAL = {J. Symbolic Logic},
FJOURNAL = {The Journal of Symbolic Logic},
VOLUME = {40},
YEAR = {1975},
PAGES = {69--74},
ISSN = {0022-4812},
MRCLASS = {02F47 (16A06)},
MRNUMBER = {MR0424551 (54 \#12511b)},
MRREVIEWER = {G. M. Bergman},
}
@book {MR1006872,
AUTHOR = {Cohn, P. M.},
TITLE = {Algebra. {V}ol. 2},
EDITION = {Second},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1989},
PAGES = {xvi+428},
ISBN = {0-471-92234-X},
MRCLASS = {00A05},
MRNUMBER = {MR1006872 (91b:00001)},
MRREVIEWER = {Boris M. Schein},
}
@book {MR1098018,
AUTHOR = {Cohn, P. M.},
TITLE = {Algebra. {V}ol. 3},
EDITION = {Second},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1991},
PAGES = {xii+474},
ISBN = {0-471-92840-2},
MRCLASS = {00A05 (08-01 13-01 20-01)},
MRNUMBER = {MR1098018 (92c:00001)},
MRREVIEWER = {Boris M. Schein},
}
@book {MR1140705,
AUTHOR = {Cohn, P. M.},
TITLE = {Algebraic numbers and algebraic functions},
SERIES = {Chapman and Hall Mathematics Series},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1991},
PAGES = {xii+192},
ISBN = {0-412-36190-6},
MRCLASS = {11-01 (11R04 11R58 14H05)},
MRNUMBER = {MR1140705 (93e:11001)},
MRREVIEWER = {Boris Datskovsky},
}
@book {MR2246388,
AUTHOR = {Cohn, P. M.},
TITLE = {Free ideal rings and localization in general rings},
SERIES = {New Mathematical Monographs},
VOLUME = {3},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2006},
PAGES = {xxii+572},
ISBN = {978-0-521-85337-8; 0-521-85337-0},
MRCLASS = {16E60 (16K99 16S10 16U99)},
MRNUMBER = {MR2246388 (2007k:16020)},
MRREVIEWER = {Mike Prest},
}
@book {MR663370,
AUTHOR = {Cohn, P. M.},
TITLE = {Algebra. {V}ol. 1},
EDITION = {Second},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1982},
PAGES = {xv+410},
ISBN = {0-471-10169-9},
MRCLASS = {00A05},
MRNUMBER = {MR663370 (83e:00002)},
}
@book {MR800091,
AUTHOR = {Cohn, P. M.},
TITLE = {Free rings and their relations},
SERIES = {London Mathematical Society Monographs},
VOLUME = {19},
EDITION = {Second},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1985},
PAGES = {xxii+588},
ISBN = {0-12-179152-1},
MRCLASS = {16A06 (16-02)},
MRNUMBER = {MR800091 (87e:16006)},
MRREVIEWER = {L. G. Makar-Limanov},
}
@book {MR0046650,
AUTHOR = {Hilbert, David and Cohn-Vossen, S.},
TITLE = {Geometry and the imagination},
NOTE = {Translated by P. Nem{\'e}nyi},
PUBLISHER = {Chelsea Publishing Company, New York, N. Y.},
YEAR = {1952},
PAGES = {ix+357},
MRCLASS = {48.0X},
MRNUMBER = {0046650 (13,766c)},
}
@article{colding,
title={Mean curvature flow as a tool to study topology
of 4-manifolds},
author={Colding, T. and Minicozzi W. and Pedersen, Erik K.},
}
@article{collinet_link_2011,
title = {A link invariant with values in the Witt ring},
url = {http://arxiv.org/abs/1106.3598},
abstract = {Using Maslov indices, we show the existence of oriented link invariants with values in the Witt rings of certain fields. Various classical invariants are closely related to this construction. We also explore a surprising connection with the Weil representation.},
journal = {1106.3598},
author = {Collinet, Gaël and Guillot, Pierre},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology},
}
@article{collins_l^2_2010,
title = {The L^2 signature of torus knots},
url = {http://arxiv.org/abs/1001.1329},
abstract = {We find a formula for the L2 signature of a (p,q) torus knot, which is the integral of the omega-signatures over the unit circle. We then apply this to a theorem of {Cochran-Orr-Teichner} to prove that the n-twisted doubles of the unknot, for n not 0 or 2, are not slice. This is a new proof of the result first proved by Casson and Gordon.},
journal = {1001.1329},
author = {Julia Collins},
year = {2010},
keywords = {{57M25,} {57M27,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{conant_geometric_2011,
title = {Geometric Filtrations of Classical Link Concordance},
url = {http://arxiv.org/abs/1101.3477},
abstract = {This paper describes grope and Whitney tower filtrations on the set of concordance classes of classical links in terms of class and order respectively. Using the tree-valued intersection theory of Whitney towers, the associated graded quotients are shown to be finitely generated abelian groups under a (surprisingly) well-defined connected sum operation. Twisted Whitney towers are also introduced, along with a corresponding quadratic enhancement of the intersection theory for framed Whitney towers that measures Whitney-disk framing obstructions. The obstruction theory in the framed setting is strengthened, and the relationships between the twisted and framed filtrations are described in terms of exact sequences which show how higher-order {Sato-Levine} and higher-order Arf invariants are obstructions to framing a twisted Whitney tower. The results from this paper combine with those in {{\textbackslash}cite{CST2,CST3,CST4}} to give a classifications of the filtrations; see our survey {{\textbackslash}cite{CST0}} as well as the end of the introduction.},
journal = {1101.3477},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_higher_2010,
title = {Higher Order Intersections in {Low-Dimensional} Topology},
url = {http://arxiv.org/abs/1011.6026},
abstract = {We show how to measure the failure of the Whitney trick in dimension 4 by constructing higher- order intersection invariants of Whitney towers built from iterated Whitney disks on immersed surfaces in 4-manifolds. For Whitney towers on immersed disks in the 4-ball, we identify some of these new invariants with previously known link invariants like Milnor, {Sato-Levine} and Arf invariants. We also define higher- order {Sato-Levine} and Arf invariants and show that these invariants detect the obstructions to framing a twisted Whitney tower. Together with Milnor invariants, these higher-order invariants are shown to classify the existence of (twisted) Whitney towers of increasing order in the 4-ball. A conjecture regarding the non- triviality of the higher-order Arf invariants is formulated, and related implications for filtrations of string links and 3-dimensional homology cylinders are described. This article is an announcement and summary of results to be published in several forthcoming papers.},
journal = {1011.6026},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = nov,
year = {2010},
keywords = {{57M25,} {57M27,} {57Q45,} Mathematics - Geometric Topology},
}
@article{conant_milnor_2011,
title = {Milnor Invariants and Twisted Whitney Towers},
url = {http://arxiv.org/abs/1102.0758},
abstract = {This paper describes the relation between the first non-vanishing Milnor invariants of a link in the 3-sphere and the intersection invariant of a twisted Whitney tower in the 4-ball bounded by the link. In combination with results from three closely related papers[5,6,7], we conclude that for n{\textbackslash}equiv0,1,3 mod 4,the group W\_n of links bounding order n twisted Whitney towers modulo order n+1 twisted Whitney tower concordance is free abelian with rank equal to the number of length n+2 Milnor invariants. We also show that the groups W\_{4k+2} contain at most 2-torsion and give an upper bound on the number of generators of these groups. These upper bounds are sharp if and only if our higher-order Arf invariants Arf\_k are Z\_2-linearly independent. Constructing boundary links realizing the image of Arf\_k for all k leads to two new geometric characterizations of links with vanishing length {\textbackslash}leq 2n Milnor invariants.},
journal = {1102.0758},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = feb,
year = {2011},
keywords = {{57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_universal_2011,
title = {Universal Quadratic Forms and Untwisting Whitney Towers},
url = {http://arxiv.org/abs/1101.3480},
abstract = {The first part of this paper completes the classification of Whitney towers in the 4-ball that was started in three related papers. We provide an algebraic framework allowing the computations of the graded groups associated to geometric filtrations of classical link concordance by order \$n\$ (twisted) Whitney towers in the 4-ball. Higher-order {Sato-Levine} invariants and higher-order Arf invariants are defined and shown to be the obstructions to framing a twisted Whitney tower. In the second part of this paper, a general theory of quadratic forms is developed and then specialized from the non-commutative to the commutative to finally, the symmetric settings. The intersection invariant for twisted Whitney towers is shown to be the universal symmetric refinement of the framed intersection invariant.},
journal = {1101.3480},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{math.GT/0012118,
title = {{Grope cobordism of classical knots}},
author = {James Conant and Peter Teichner},
}
@article{math.GT/0209075,
title = {{Grope Cobordism and Feynman Diagrams}},
author = {James Conant and Peter Teichner},
}
@article{math.GT/0401427,
title = {{Jacobi identities in low-dimensional topology}},
author = {James Conant and Rob Schneiderman and Peter Teichner},
}
@article {MR0154289,
AUTHOR = {Connell, E. H.},
TITLE = {Approximating stable homeomorphisms by piecewise linear ones},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {78},
YEAR = {1963},
PAGES = {326--338},
ISSN = {0003-486X},
MRCLASS = {55.70},
MRNUMBER = {MR0154289 (27 \#4238)},
MRREVIEWER = {E. C. Zeeman},
}
@article {MR0242151,
AUTHOR = {Connell, E. H. and Hollingsworth, John},
TITLE = {Geometric groups and {W}hitehead torsion},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {140},
YEAR = {1969},
PAGES = {161--181},
ISSN = {0002-9947},
MRCLASS = {55.40},
MRNUMBER = {MR0242151 (39 \#3485)},
MRREVIEWER = {C. W. Patty},
}
@book {MR0176478,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {Differentiable periodic maps},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Band
33},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Publishers, New York},
YEAR = {1964},
PAGES = {vii+148},
MRCLASS = {57.10 (55.36)},
MRNUMBER = {MR0176478 (31 \#750)},
MRREVIEWER = {E. Dyer},
}
@article {MR0179796,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {Fibring within a cobordism class},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {12},
YEAR = {1965},
PAGES = {33--47},
ISSN = {0026-2285},
MRCLASS = {57.10},
MRNUMBER = {MR0179796 (31 \#4038)},
MRREVIEWER = {R. H. Szczarba},
}
@book {MR0216511,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {The relation of cobordism to {$K$}-theories},
SERIES = {Lecture Notes in Mathematics, No. 28},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1966},
PAGES = {v+112},
MRCLASS = {57.10 (55.00)},
MRNUMBER = {MR0216511 (35 \#7344)},
MRREVIEWER = {M. F. Atiyah},
}
@incollection {MR520493,
AUTHOR = {Alexander, J. P. and Conner, P. E. and Hamrick, G. C.},
TITLE = {Metabolic and hyperbolic forms},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {61--65},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R67 (10C05 18F25 57R85)},
MRNUMBER = {520493 (80e:57038)},
MRREVIEWER = {J. P. Levine},
}
@book {MR1303779,
AUTHOR = {Connes, Alain},
TITLE = {Noncommutative geometry},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {San Diego, CA},
YEAR = {1994},
PAGES = {xiv+661},
ISBN = {0-12-185860-X},
MRCLASS = {46Lxx (19K56 22D25 58B30 58G12 81T13 81V22 81V70)},
MRNUMBER = {MR1303779 (95j:46063)},
MRREVIEWER = {John Roe},
}
@article {MR1277522,
AUTHOR = {Anderson, Douglas R. and Connolly, Frank and Ferry, S.
and Pedersen, Erik K.},
TITLE = {Algebraic {$K$}-theory with continuous control at infinity},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {94},
YEAR = {1994},
NUMBER = {1},
PAGES = {25--47},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19J99 (19D23 55N20)},
MRNUMBER = {MR1277522 (95b:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1307955,
AUTHOR = {Connolly, Frank and Ko{\'z}niewski, Tadeusz},
TITLE = {{${\rm Nil}$} groups in {$K$}-theory and surgery theory},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {45--76},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19D35 (19J25 57R67)},
MRNUMBER = {MR1307955 (95j:19003)},
MRREVIEWER = {Oliver Attie},
}
@article{connolly_topological_2011,
title = {Topological rigidity and H\_1-negative involutions on tori},
url = {http://arxiv.org/abs/1102.2660},
abstract = {We prove there is only one involution (up to conjugacy) on the n-torus which acts as {-Id} on the first homology group when n is of the form 4k, is of the form 4k+1, or is less than 4. In all other cases we prove there are infinitely many such involutions up to conjugacy, but each of them has exactly 2{\textasciicircum}n fixed points and is conjugate to a smooth involution. The key technical point is that we completely compute the equivariant structure set for the corresponding crystallographic group action on R{\textasciicircum}n in terms of the Cappell {UNil-groups} arising from its infinite dihedral subgroups. We give a complete analysis of equivariant topological rigidity for this family of groups.},
journal = {1102.2660},
author = {Frank Connolly and Jim Davis and Qayum Khan},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{math.AT/0304016,
author = {Frank Connolly and Andrew Ranicki},
title = {{On the calculation of UNil}},
}
@article{math.GT/0306054,
title = {{The surgery obstruction groups of the infinite dihedral
group}},
author = {Frank Connolly and Jim Davis},
journal = {Geom. Topol.},
volume = 8,
year = 2004,
pages = {1043--1078},
}
@incollection {MR0258014,
AUTHOR = {Conway, J. H.},
TITLE = {An enumeration of knots and links, and some of their algebraic
properties},
BOOKTITLE = {Computational Problems in Abstract Algebra (Proc. Conf.,
Oxford, 1967) },
PAGES = {329--358},
PUBLISHER = {Pergamon},
ADDRESS = {Oxford},
YEAR = {1970},
MRCLASS = {55.20},
MRNUMBER = {MR0258014 (41 \#2661)},
MRREVIEWER = {H. E. Debrunner},
}
@article {MR0375282,
AUTHOR = {Conway, J. H. and Gordon, C. McA.},
TITLE = {A group to classify knots},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {7},
YEAR = {1975},
PAGES = {84--86},
ISSN = {0024-6093},
MRCLASS = {55A25},
MRNUMBER = {MR0375282 (51 \#11478)},
MRREVIEWER = {L. Neuwirth},
}
@book{MR1478672,
AUTHOR = {Conway, J. H.},
TITLE = {The sensual (quadratic) form},
SERIES = {Carus Mathematical Monographs},
VOLUME = {26},
NOTE = {With the assistance of Francis Y. C. Fung},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {1997},
PAGES = {xiv+152},
ISBN = {0-88385-030-3},
MRCLASS = {11E12 (11-01)},
MRNUMBER = {1478672 (98k:11035)},
MRREVIEWER = {Carl Riehm},
}
@book {MR1662447,
AUTHOR = {Conway, J. H. and Sloane, N. J. A.},
TITLE = {Sphere packings, lattices and groups},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {290},
EDITION = {Third},
NOTE = {With additional contributions by E. Bannai, R. E. Borcherds,
J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen
and B. B. Venkov},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1999},
PAGES = {lxxiv+703},
ISBN = {0-387-98585-9},
MRCLASS = {11H31 (05B40 11H06 20D08 52C07 52C17 94B75 94C30)},
MRNUMBER = {1662447 (2000b:11077)},
MRREVIEWER = {Renaud Coulangeon},
}
@book {MR1957212,
AUTHOR = {Conway, J. H. and Smith, Derek A.},
TITLE = {On quaternions and octonions: their geometry, arithmetic, and
symmetry},
PUBLISHER = {A K Peters Ltd.},
ADDRESS = {Natick, MA},
YEAR = {2003},
PAGES = {xii+159},
ISBN = {1-56881-134-9},
MRCLASS = {17A35 (16K20 51H99)},
MRNUMBER = {MR1957212 (2004a:17002)},
MRREVIEWER = {Theo Grundh{\"o}fer},
}
@book {MR0447532,
AUTHOR = {Conway, John B.},
TITLE = {Functions of one complex variable},
NOTE = {Graduate Texts in Mathematics, 11},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {xi+313},
MRCLASS = {30-01},
MRNUMBER = {MR0447532 (56 \#5843)},
}
@book {MR1070713,
AUTHOR = {Conway, John B.},
TITLE = {A course in functional analysis},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {96},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1990},
PAGES = {xvi+399},
ISBN = {0-387-97245-5},
MRCLASS = {46-01 (47-01)},
MRNUMBER = {MR1070713 (91e:46001)},
}
@book {MR1344449,
AUTHOR = {Conway, John B.},
TITLE = {Functions of one complex variable. {II}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {159},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xvi+394},
ISBN = {0-387-94460-5},
MRCLASS = {30-01},
MRNUMBER = {MR1344449 (96i:30001)},
MRREVIEWER = {P. Lappan},
}
@article {MR974999,
AUTHOR = {Conway, John B. and Herrero, Domingo A. and Morrel, Bernard
B.},
TITLE = {Completing the {R}iesz-{D}unford functional calculus},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {82},
YEAR = {1989},
NUMBER = {417},
PAGES = {iv+104},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {47A60 (47A55)},
MRNUMBER = {MR974999 (90m:47023)},
MRREVIEWER = {Lawrence Fialkow},
}
@article {MR1231721,
AUTHOR = {Cook, A. L. and Crabb, M. C.},
TITLE = {Fibrewise {H}opf structures on sphere-bundles},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {48},
YEAR = {1993},
NUMBER = {2},
PAGES = {365--384},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {55P45},
MRNUMBER = {MR1231721 (94d:55021)},
MRREVIEWER = {R. E. Stong},
}
@book {MR0219059,
AUTHOR = {Cooke, George E. and Finney, Ross L.},
TITLE = {Homology of cell complexes},
SERIES = {Based on lectures by Norman E. Steenrod},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1967},
PAGES = {xv+256},
MRCLASS = {55.30 (55.25)},
MRNUMBER = {0219059 (36 \#2142)},
MRREVIEWER = {C. M. Maylor},
}
@article{MR0442921,
AUTHOR = {Coram, D. S. and Duvall, P. F.},
TITLE = {Approximate fibrations},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {7},
YEAR = {1977},
NUMBER = {2},
PAGES = {275--288},
ISSN = {0035-7596},
MRCLASS = {55D05},
MRNUMBER = {0442921 (56 \#1296)},
MRREVIEWER = {C. W. Patty},
}
@article{MR594320,
AUTHOR = {Coram, D. S. and Duvall, P. F.},
TITLE = {Homotopy equivalences and mapping torus projections},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {109},
YEAR = {1980},
NUMBER = {1},
PAGES = {1--7},
ISSN = {0016-2736},
CODEN = {FUMAAJ},
MRCLASS = {55R05},
MRNUMBER = {594320 (82b:55014)},
MRREVIEWER = {J. E. Keesling},
}
@article {MR728455,
AUTHOR = {Coray, Daniel and Michel, Francoise},
TITLE = {Knot cobordism and amphicheirality},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {4},
PAGES = {601--616},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45},
MRNUMBER = {MR728455 (85j:57032)},
MRREVIEWER = {K. Lamotke},
DOI = {10.1007/BF02564655},
URL = {http://dx.doi.org/10.1007/BF02564655},
}
@article{math.AT/0107221,
author = {Octav Cornea and Andrew Ranicki},
title = {{Rigidity and gluing for Morse and Novikov complexes}},
howpublished = {J. Eur. Math. Soc. 5, 343-394 (2003)},
}
@article {MR1874540,
AUTHOR = {Cortella, Anne and Tignol, Jean-Pierre},
TITLE = {The asymmetry of an anti-automorphism},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {2-3},
PAGES = {175--193},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16K20 (11E39)},
MRNUMBER = {MR1874540 (2002k:16032)},
MRREVIEWER = {Thomas P. Unger},
}
@article {MR1019067,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {Equivariant orientations and {$G$}-bordism theory},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {140},
YEAR = {1989},
NUMBER = {1},
PAGES = {63--84},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R85},
MRNUMBER = {MR1019067 (90h:57044)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1127138,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {{$G$}-transversality revisited},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {116},
YEAR = {1992},
NUMBER = {2},
PAGES = {535--546},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57R91 (55N91 55S91 57R85)},
MRNUMBER = {MR1127138 (92m:57044)},
MRREVIEWER = {Jos{\'e} Carlos de Souza Kiihl},
}
@article {MR1139971,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {The equivariant {T}hom isomorphism theorem},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {152},
YEAR = {1992},
NUMBER = {1},
PAGES = {21--39},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {55N91 (55N25 55R91 57R91)},
MRNUMBER = {MR1139971 (93c:55005)},
MRREVIEWER = {L. Gaunce Lewis, Jr.},
}
@book {MR1413302,
AUTHOR = {May, J. Peter and Costenoble, S. R.},
TITLE = {Equivariant homotopy and cohomology theory},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {91},
NOTE = {With contributions by M. Cole, G. Comeza\tilde na, S.
Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis,
Jr., R. J. Piacenza, G. Triantafillou, and S. Waner},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1996},
PAGES = {xiv+366},
ISBN = {0-8218-0319-0},
MRCLASS = {55P91 (18G99 55N91 55U35)},
MRNUMBER = {MR1413302 (97k:55016)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR911096,
AUTHOR = {Costenoble, S. R.},
TITLE = {The equivariant {C}onner-{F}loyd isomorphism},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {304},
YEAR = {1987},
NUMBER = {2},
PAGES = {801--818},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R85},
MRNUMBER = {MR911096 (88h:57033)},
MRREVIEWER = {R. E. Stong},
}
@article {MR958887,
AUTHOR = {Costenoble, S. R.},
TITLE = {The structure of some equivariant {T}hom spectra},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {315},
YEAR = {1989},
NUMBER = {1},
PAGES = {231--254},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R85 (55P42)},
MRNUMBER = {MR958887 (89m:57038)},
MRREVIEWER = {Donald M. Davis},
}
@article{vancott,
title = {Ozsvath-Szabo and Rasmussen invariants of cable knots},
author = {Cornelia A. van Cott},
eprint = {arXiv:0803.0500},
}
@article {MR2040672,
AUTHOR = {Coutinho, S. C.},
TITLE = {Quotient rings of noncommutative rings in the first half of
the 20th century},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {58},
YEAR = {2004},
NUMBER = {3},
PAGES = {255--281},
ISSN = {0003-9519},
CODEN = {AHESAN},
MRCLASS = {16-03 (01A60 16S10 16U20)},
MRNUMBER = {MR2040672 (2004j:16001)},
MRREVIEWER = {Jonathan Golan},
}
@article {MR1231721,
AUTHOR = {Cook, A. L. and Crabb, M. C.},
TITLE = {Fibrewise {H}opf structures on sphere-bundles},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {48},
YEAR = {1993},
NUMBER = {2},
PAGES = {365--384},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {55P45},
MRNUMBER = {MR1231721 (94d:55021)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1477625,
AUTHOR = {Crabb, M. C. and Xu, Kai},
TITLE = {Quadratic spaces},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {226},
YEAR = {1997},
NUMBER = {2},
PAGES = {169--180},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55P42},
MRNUMBER = {1477625 (98f:55006)},
MRREVIEWER = {R. E. Stong},
DOI = {10.1007/PL00004339},
URL = {http://dx.doi.org/10.1007/PL00004339},
}
@book {MR1646248,
AUTHOR = {Crabb, M. C. and James, I. M.},
TITLE = {Fibrewise homotopy theory},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag London Ltd.},
ADDRESS = {London},
YEAR = {1998},
PAGES = {viii+341},
ISBN = {1-85233-014-7},
MRCLASS = {55-02 (55M20 55P42 55R99 55T10 55T20)},
MRNUMBER = {1646248 (99k:55001)},
MRREVIEWER = {J. P. C. Greenlees},
}
@article {MR2372981,
AUTHOR = {Crabb, M. C.},
TITLE = {Equivariant fixed-point indices of iterated maps},
JOURNAL = {J. Fixed Point Theory Appl.},
FJOURNAL = {Journal of Fixed Point Theory and Applications},
VOLUME = {2},
YEAR = {2007},
NUMBER = {2},
PAGES = {171--193},
ISSN = {1661-7738},
MRCLASS = {37C25 (55M20 55N91 55P91)},
MRNUMBER = {MR2372981},
}
@article {MR2391632,
AUTHOR = {Crabb, M. C.},
TITLE = {Loop homology as fibrewise homology},
JOURNAL = {Proc. Edinb. Math. Soc. (2)},
FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
VOLUME = {51},
YEAR = {2008},
NUMBER = {1},
PAGES = {27--44},
ISSN = {0013-0915},
MRCLASS = {55R70 (55P43)},
MRNUMBER = {2391632 (2009c:55018)},
MRREVIEWER = {Donald W. Kahn},
DOI = {10.1017/S0013091505001483},
URL = {http://dx.doi.org/10.1017/S0013091505001483},
}
@book {MR591680,
AUTHOR = {Crabb, M. C.},
TITLE = {{${\bf Z}/2$}-homotopy theory},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {44},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1980},
PAGES = {ii+128},
ISBN = {0-521-28051-6},
MRCLASS = {55N99 (55Q99)},
MRNUMBER = {MR591680 (83m:55010)},
MRREVIEWER = {J. P. May},
}
@article {MR865272,
AUTHOR = {Crabb, M. C. and Sutherland, W. A.},
TITLE = {The space of sections of a sphere-bundle.\ {I}},
JOURNAL = {Proc. Edinburgh Math. Soc. (2)},
FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
VOLUME = {29},
YEAR = {1986},
NUMBER = {3},
PAGES = {383--403},
ISSN = {0013-0915},
CODEN = {PEMSA3},
MRCLASS = {55P42 (55R25)},
MRNUMBER = {MR865272 (88f:55010)},
MRREVIEWER = {A. Dold},
}
@article {crabbcoin,
AUTHOR = {Crabb, M. C.},
TITLE = {The homotopy coincidence index},
JOURNAL = {J. Fixed Point Theory Appl.},
FJOURNAL = {Journal of Fixed Point Theory and Applications},
YEAR = {2010},
}
@article {MR1348149,
AUTHOR = {Crawley-Boevey, William},
TITLE = {On homomorphisms from a fixed representation to a general
representation of a quiver},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {348},
YEAR = {1996},
NUMBER = {5},
PAGES = {1909--1919},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {16G20 (14M15)},
MRNUMBER = {MR1348149 (96i:16022)},
MRREVIEWER = {Daniel Simson},
}
@book {MR2107964,
AUTHOR = {Cromwell, Peter R.},
TITLE = {Knots and links},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {xviii+328},
ISBN = {0-521-83947-5; 0-521-54831-4},
MRCLASS = {57M25},
MRNUMBER = {MR2107964 (2005k:57011)},
MRREVIEWER = {Sergei K. Lando},
}
@book {MR0478127,
AUTHOR = {Croom, Fred H.},
TITLE = {Basic concepts of algebraic topology},
NOTE = {Undergraduate Texts in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1978},
PAGES = {x+177},
ISBN = {0-387-90288-0},
MRCLASS = {55-01},
MRNUMBER = {0478127 (57 \#17616)},
MRREVIEWER = {Jerrold W. Grossman},
}
@book {MR04781271,
AUTHOR = {Croom, Fred H.},
TITLE = {Principles of topology},
}
@book {MR2151660,
AUTHOR = {Crossley, Martin D.},
TITLE = {Essential topology},
SERIES = {Springer Undergraduate Mathematics Series},
PUBLISHER = {Springer-Verlag London Ltd.},
ADDRESS = {London},
YEAR = {2005},
PAGES = {x+224},
ISBN = {978-1-85233-782-7; 1-85233-782-6},
MRCLASS = {54-01 (55-01 57-01)},
MRNUMBER = {2151660 (2005m:54001)},
}
@article {MR0099665,
AUTHOR = {Crowell, Richard},
TITLE = {Genus of alternating link types},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {69},
YEAR = {1959},
PAGES = {258--275},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0099665 (20 \#6103b)},
MRREVIEWER = {R. H. Fox},
}
@book {MR0445489,
AUTHOR = {Crowell, Richard and Fox, Ralph H.},
TITLE = {Introduction to knot theory},
NOTE = {Reprint of the 1963 original,
Graduate Texts in Mathematics, No. 57},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {x+182},
MRCLASS = {55A25},
MRNUMBER = {MR0445489 (56 \#3829)},
}
@article{0808.2008,
title = {Stably diffeomorphic manifolds and l_{2q+1}(Z[\pi])},
author = {Diarmuid Crowley and J\"org Sixt},
publisher = {http://www.arXiv.org/0808.2008},
}
@article {MR2826928,
AUTHOR = {Crowley, Diarmuid and Macko, Tibor},
TITLE = {The additivity of the {$\rho$}-invariant and periodicity in
topological surgery},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {11},
YEAR = {2011},
NUMBER = {4},
PAGES = {1915--1959},
ISSN = {1472-2747},
MRCLASS = {57R65 (57S25)},
MRNUMBER = {2826928},
}
@article {smoothstr,
AUTHOR = {Crowley, Diarmuid},
TITLE = {The smooth structure set of S^pxS^q},
}
@article {MR0433521,
AUTHOR = {Crumeyrolle, Albert},
TITLE = {La signification cohomologique de l'indice trilat\`ere d'un
triplet lagrangien et de l'indice de {M}aslov},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
VOLUME = {284},
YEAR = {1977},
NUMBER = {18},
PAGES = {A1129--A1132},
MRCLASS = {58G99},
MRNUMBER = {0433521 (55 \#6497)},
}
@article {MR0440629,
AUTHOR = {Crumeyrolle, Albert},
TITLE = {Le cocycle d'inertie trilat\`ere d'une vari\'et\'e \`a
structure presque symplectique et la premi\`ere classe de
{C}hern},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
VOLUME = {284},
YEAR = {1977},
NUMBER = {23},
PAGES = {A1507--A1509},
MRCLASS = {58G99 (57D20)},
MRNUMBER = {0440629 (55 \#13503)},
}
@article {MR0442998,
AUTHOR = {Crumeyrolle, Albert},
TITLE = {Alg\`ebre de {C}lifford symplectique. {R}ev\^etements du
groupe symplectique. {I}ndices de {M}aslov et spineurs
symplectiques},
JOURNAL = {Period. Math. Hungar.},
FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai
Mathematical Society},
VOLUME = {7},
YEAR = {1976},
NUMBER = {3-4},
PAGES = {263--289},
ISSN = {0031-5303},
MRCLASS = {58G99},
MRNUMBER = {0442998 (56 \#1373)},
MRREVIEWER = {Kotik K. Lee},
}
@article {MR1427744,
AUTHOR = {Cruz, Ricardo N.},
TITLE = {On codimension two and one splitting},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {75},
YEAR = {1997},
NUMBER = {2},
PAGES = {105--111},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R67},
MRNUMBER = {MR1427744 (97m:57055)},
MRREVIEWER = {Laurence R. Taylor},
}
@article{curry_euler_2012,
title = {Euler Calculus with Applications to Signals and Sensing},
url = {http://arxiv.org/abs/1202.0275},
abstract = {This article surveys the Euler calculus - an integral calculus based on Euler characteristic - and its applications to data, sensing, networks, and imaging.},
urldate = {2013-02-18},
journal = {{arXiv:1202.0275}},
author = {Curry, Justin and Ghrist, Robert and Robinson, Michael},
month = jan,
year = {2012},
keywords = {{65R10}, {58C35}, Mathematics - Algebraic Topology},
}
@article {MR1088332,
AUTHOR = {Dai, Xianzhe},
TITLE = {Adiabatic limits, nonmultiplicativity of signature, and
{L}eray spectral sequence},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {4},
YEAR = {1991},
NUMBER = {2},
PAGES = {265--321},
ISSN = {0894-0347},
MRCLASS = {58G10 (55T10 58G25)},
MRNUMBER = {MR1088332 (92f:58169)},
MRREVIEWER = {J{\"u}rgen Eichhorn},
}
@article {MR1295462,
AUTHOR = {Dai, Xianzhe and Freed, Daniel S.},
TITLE = {{$\eta$}-invariants and determinant lines},
NOTE = {Topology and physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {35},
YEAR = {1994},
NUMBER = {10},
PAGES = {5155--5194},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {58G26 (58G20)},
MRNUMBER = {MR1295462 (96a:58204)},
MRREVIEWER = {J{\"u}rgen Eichhorn},
}
@book {brouwer2,
AUTHOR = {van Dalen, D.},
TITLE = {Brouwer biography, Vol. 2},
}
@article{math.GT/0612386,
title = {{On the homotopy of finite CW-complexes with polycyclic
fundamental group}},
author = {Mihai Damian},
eprint = {arXiv:math.GT/0612386},
}
@article {MR495499,
AUTHOR = {Danilov, V. I.},
TITLE = {The geometry of toric varieties},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {33},
YEAR = {1978},
NUMBER = {2(200)},
PAGES = {85--134, 247},
ISSN = {0042-1316},
MRCLASS = {14A20 (14L30)},
MRNUMBER = {MR495499 (80g:14001)},
MRREVIEWER = {I. Dolgachev},
}
@book {MR1886666,
TITLE = {Handbook of geometric topology},
AUTHOR = {Daverman, R. J. and Sher, R. B.},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2002},
PAGES = {x+1133},
ISBN = {0-444-82432-4},
MRCLASS = {57-06 (55-06)},
MRNUMBER = {MR1886666 (2002k:57002)},
}
@book {MR872468,
AUTHOR = {Daverman, R. J.},
TITLE = {Decompositions of manifolds},
SERIES = {Pure and Applied Mathematics},
VOLUME = {124},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Orlando, FL},
YEAR = {1986},
PAGES = {xii+317},
ISBN = {0-12-204220-4},
MRCLASS = {57-01 (54B15)},
MRNUMBER = {MR872468 (88a:57001)},
MRREVIEWER = {Du{\v{s}}an Repov{\v{s}}},
}
@book {MR2561389,
AUTHOR = {Daverman, Robert J. and Venema, Gerard A.},
TITLE = {Embeddings in manifolds},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {106},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2009},
PAGES = {xviii+468},
ISBN = {978-0-8218-3697-2},
MRCLASS = {57N35 (57M30 57N30 57N37 57N45 57N50 57Q35 57Q37 57Q45)},
MRNUMBER = {2561389 (2011g:57025)},
MRREVIEWER = {Sergey A. Melikhov},
}
@book {MR2359869,
AUTHOR = {Davies, E. Brian},
TITLE = {Linear operators and their spectra},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {106},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2007},
PAGES = {xii+451},
ISBN = {978-0-521-86629-3; 0-521-86629-4},
MRCLASS = {47-01 (47A10 47D07 47N30 60J10 60J27)},
MRNUMBER = {2359869 (2008k:47001)},
MRREVIEWER = {F.-H. Vasilescu},
DOI = {10.1017/CBO9780511618864},
URL = {http://dx.doi.org/10.1017/CBO9780511618864},
}
@article {MR1659969,
AUTHOR = {Davis, Jim and L{\"u}ck, Wolfgang},
TITLE = {Spaces over a category and assembly maps in isomorphism
conjectures in {$K$}- and {$L$}-theory},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {15},
YEAR = {1998},
NUMBER = {3},
PAGES = {201--252},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {55N20 (19D10)},
MRNUMBER = {MR1659969 (99m:55004)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR1841974,
AUTHOR = {Davis, Jim and Kirk, Paul},
TITLE = {Lecture notes in algebraic topology},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {35},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xvi+367},
ISBN = {0-8218-2160-1},
MRCLASS = {55-01 (57-01)},
MRNUMBER = {MR1841974 (2002f:55001)},
MRREVIEWER = {Don Shimamoto},
}
@book {MR798073,
AUTHOR = {Davis, Jim and Milgram, R. J.},
TITLE = {A survey of the spherical space form problem},
SERIES = {Mathematical Reports},
VOLUME = {2},
PUBLISHER = {Harwood Academic Publishers},
ADDRESS = {Chur},
YEAR = {1985},
PAGES = {xi+61},
ISBN = {3-7186-0250-4},
MRCLASS = {57-02 (57S25)},
MRNUMBER = {MR798073 (87e:57001)},
MRREVIEWER = {C. B. Thomas},
}
@incollection {MR802785,
AUTHOR = {Davis, Jim},
TITLE = {Higher diagonal approximations and skeletons of {$K(\pi,
1)$}'s},
BOOKTITLE = {Algebraic and geometric topology (New Brunswick, N.J., 1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1126},
PAGES = {51--61},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {57R65 (55S15 55U15)},
MRNUMBER = {MR802785 (87a:57039)},
MRREVIEWER = {Jean-Claude Hausmann},
}
@article{connolly_topological_2011,
title = {Topological rigidity and H\_1-negative involutions on tori},
url = {http://arxiv.org/abs/1102.2660},
abstract = {We prove there is only one involution (up to conjugacy) on the n-torus which acts as {-Id} on the first homology group when n is of the form 4k, is of the form 4k+1, or is less than 4. In all other cases we prove there are infinitely many such involutions up to conjugacy, but each of them has exactly 2{\textasciicircum}n fixed points and is conjugate to a smooth involution. The key technical point is that we completely compute the equivariant structure set for the corresponding crystallographic group action on R{\textasciicircum}n in terms of the Cappell {UNil-groups} arising from its infinite dihedral subgroups. We give a complete analysis of equivariant topological rigidity for this family of groups.},
journal = {1102.2660},
author = {Frank Connolly and Jim Davis and Qayum Khan},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{davis_algebraic_2010,
title = {Algebraic K-theory over the infinite dihedral group: a controlled topology approach},
shorttitle = {Algebraic K-theory over the infinite dihedral group},
url = {http://arxiv.org/abs/1002.3702},
abstract = {We use controlled topology applied to the action of the infinite dihedral group on a partially compactified plane and deduce two consequences for algebraic K-theory. The first is that the family in the K-theoretic {Farrell-Jones} conjecture can be reduced to only those virtually cyclic groups which admit a surjection with finite kernel onto a cyclic group. The second is that the Waldhausen Nil groups for a group which maps epimorphically onto the infinite dihedral group can be computed in terms of the {Farrell-Bass} Nil groups of the index two subgroup which maps surjectively to the infinite cyclic group.},
journal = {1002.3702},
author = {Jim Davis and Frank Quinn and Holger Reich},
month = feb,
year = {2010},
keywords = {{57Q10,} {16E20,} Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology},
}
@article{davis_remarksnil_2008,
title = {Some remarks on Nil groups in algebraic K-theory},
url = {http://arxiv.org/abs/0803.1641},
abstract = {This note explains consequences of recent work of Frank Quinn for computations of Nil groups in algebraic K-theory, in particular the Nil groups occurring in the K-theory of polynomial rings, Laurent polynomial rings, and the group ring of the infinite dihedral group.},
journal = {0803.1641},
author = {Jim Davis},
month = mar,
year = {2008},
keywords = {{19D35} {(Primary),} {57Q10,} {16E20} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@article{math.AT/0212074,
title = {{The p-chain spectral sequence}},
author = {Jim Davis and Wolfgang L{\"u}ck},
}
@article{math.GT/0306054,
title = {{The surgery obstruction groups of the infinite dihedral
group}},
author = {Frank Connolly and Jim Davis},
journal = {Geom. Topol.},
volume = 8,
year = 2004,
pages = {1043--1078},
}
@article{math.GT/0509053,
title = {{Manifolds homotopy equivalent to P^n # P^n}},
author = {Jeremy Brookman and Jim Davis and Qayum Khan},
eprint = {arXiv:math.GT/0509053},
}
@article {MR1131435,
AUTHOR = {Davis, Michael W. and Januszkiewicz, Tadeusz},
TITLE = {Hyperbolization of polyhedra},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {34},
YEAR = {1991},
NUMBER = {2},
PAGES = {347--388},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57Q05 (53C20)},
MRNUMBER = {1131435 (92h:57036)},
MRREVIEWER = {Werner Ballmann},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214447212},
}
@article{davis_aspherical_2013,
title = {Aspherical manifolds that cannot be triangulated},
url = {http://arxiv.org/abs/1304.3730},
abstract = {Although Kirby and Siebenmann showed that there
are manifolds that do not admit {PL} structures, the
possibility remained that all manifolds could be triangulated.
In the late seventies Galewski and Stern and independently
Matumoto showed that non-triangulable manifolds exist in all
dimensions {\textgreater} 4 if and only if homology 3-spheres
with certain properties do not exist. In 2013 Manolescu showed
that, indeed, there were no such homology 3-spheres and hence,
non-triangulable manifolds exist in each dimension
{\textgreater}4. It follows from work of Freedman in 1982 that
there are 4-manifolds that cannot be triangulated. In 1991
Davis and Januszkiewicz applied a hyperbolization procedure to
Freedman's 4-manifolds to get closed aspherical 4-manifolds
that cannot be triangulated. In this paper we apply
hyperbolization techniques to the Galewski-Stern manifolds to
show that there exist closed aspherical n-manifolds that cannot
be triangulated for each n{\textgreater} 5. The question
remains open in dimension 5.},
urldate = {2013-04-16},
journal = {{arXiv:1304.3730}},
author = {Davis, Michael W. and Fowler, Jim and Lafont,
J.-F.},
month = apr,
year = {2013},
keywords ="{57Q15}, {57Q25}, {20F65} (Primary), {57R58
}
@article {MR0321110,
AUTHOR = {Dax, Jean-Pierre},
TITLE = {\'{E}tude homotopique des espaces de plongements},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {5},
YEAR = {1972},
PAGES = {303--377},
ISSN = {0012-9593},
MRCLASS = {57D40 (58D10)},
MRNUMBER = {MR0321110 (47 \#9643)},
MRREVIEWER = {J. Bochnak},
}
@article {MR539693,
AUTHOR = {Dazord, Pierre},
TITLE = {Invariants homotopiques attach\'es aux fibres simplectiques},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {29},
YEAR = {1979},
NUMBER = {2},
PAGES = {vii, 25--78},
ISSN = {0373-0956},
CODEN = {AIFUA7},
MRCLASS = {53C15 (58G15)},
MRNUMBER = {MR539693 (81e:53021)},
MRREVIEWER = {A. Crumeyrolle},
URL = {http://www.numdam.org/item?id=AIF_1979__29_2_25_0},
}
@article {MR2588613,
AUTHOR = {DeTurck, D. and Gluck, H.},
TITLE = {Linking integrals in the {$n$}-sphere},
JOURNAL = {Mat. Contemp.},
FJOURNAL = {Matem\'atica Contempor\^anea},
VOLUME = {34},
YEAR = {2008},
PAGES = {239--249},
ISSN = {0103-9059},
MRCLASS = {57Q45 (53A04 57M25)},
MRNUMBER = {2588613 (2011b:57030)},
MRREVIEWER = {A. P. Stone},
}
@article {MR1809259,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {The {B}iot-{S}avart operator for application to knot theory,
fluid dynamics, and plasma physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {42},
YEAR = {2001},
NUMBER = {2},
PAGES = {876--905},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {78A25 (57M25 76W05)},
MRNUMBER = {1809259 (2002e:78002)},
MRREVIEWER = {Zensho Yoshida},
DOI = {10.1063/1.1329659},
URL = {http://dx.doi.org/10.1063/1.1329659},
}
@article {MR2392864,
AUTHOR = {DeTurck, Dennis and Gluck, Herman},
TITLE = {Electrodynamics and the {G}auss linking integral on the
3-sphere and in hyperbolic 3-space},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {49},
YEAR = {2008},
NUMBER = {2},
PAGES = {023504, 35},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {53C80 (78A35)},
MRNUMBER = {2392864 (2008m:53183)},
MRREVIEWER = {A. P. Stone},
DOI = {10.1063/1.2827467},
URL = {http://dx.doi.org/10.1063/1.2827467},
}
@article {MR3031861,
AUTHOR = {DeTurck, Dennis and Gluck, Herman},
TITLE = {Linking, twisting, writhing, and helicity on the 3-sphere and
in hyperbolic 3-space},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {94},
YEAR = {2013},
NUMBER = {1},
PAGES = {87--128},
ISSN = {0022-040X},
MRCLASS = {57M25 (53A04)},
MRNUMBER = {3031861},
URL = {http://projecteuclid.org/euclid.jdg/1361889062},
}
@book {MR1066697,
AUTHOR = {Dedekind, Richard},
TITLE = {Erlauterungen zu den Fragmenten xxviii},
NOTES = {Gesammelte mathematische {W}erke, wissenschaftlicher
{N}achlass und {N}achtr\"age},
YEAR = {1892},
}
@book {MR1795406,
AUTHOR = {Degtyarev, A. and Itenberg, I. and Kharlamov, V.},
TITLE = {Real {E}nriques surfaces},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1746},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {xvi+259},
ISBN = {3-540-41088-0},
MRCLASS = {14P05 (14J28)},
MRNUMBER = {1795406 (2001k:14100)},
MRREVIEWER = {Sergey M. Finashin},
DOI = {10.1007/BFb0103960},
URL = {http://dx.doi.org/10.1007/BFb0103960},
}
@book {MR881797,
AUTHOR = {Dehn, Max},
TITLE = {Papers on group theory and topology},
NOTE = {Translated from the German and with introductions and an
appendix by John Stillwell,
With an appendix by Otto Schreier},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1987},
PAGES = {viii+396},
ISBN = {0-387-96416-9},
MRCLASS = {01A75 (20-03 55-03 57-03)},
MRNUMBER = {881797 (88d:01041)},
MRREVIEWER = {J. S. Birman},
DOI = {10.1007/978-1-4612-4668-8},
URL = {http://dx.doi.org/10.1007/978-1-4612-4668-8},
}
@article{dehnheegaard,
author="Dehn, Max and Heegaard, P.",
title="{Analysis situs.}", journal="Enzyklop. d.
math.Wissensch. \text{III}_{1},",
pages="153-220",
year="1907",
}
@article {MR1603898,
AUTHOR = {Deloup, Florian},
TITLE = {Linking forms, reciprocity for {G}auss sums and invariants of
{$3$}-manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {351},
YEAR = {1999},
NUMBER = {5},
PAGES = {1895--1918},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57N10 (11E81 11L05 57M25 57N13)},
MRNUMBER = {1603898 (99h:57035)},
MRREVIEWER = {Justin D. Roberts},
}
@article {MR2122215,
AUTHOR = {Deloup, Florian and Massuyeau, Gwenael},
TITLE = {Quadratic functions and complex spin structures on
three-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {44},
YEAR = {2005},
NUMBER = {3},
PAGES = {509--555},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R15 (57M27)},
MRNUMBER = {2122215 (2005j:57033)},
MRREVIEWER = {Rostislav Matveyev},
DOI = {10.1016/j.top.2004.11.003},
URL = {http://dx.doi.org/10.1016/j.top.2004.11.003},
}
@article {MR2132877,
AUTHOR = {Deloup, Florian and Massuyeau, Gwenael},
TITLE = {Quadratic functions on torsion groups},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {198},
YEAR = {2005},
NUMBER = {1-3},
PAGES = {105--121},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {11E39 (11E81)},
MRNUMBER = {2132877 (2005m:11061)},
MRREVIEWER = {Andrzej S{\l}adek},
DOI = {10.1016/j.jpaa.2004.10.011},
}
@article {MR2139574,
AUTHOR = {Deloup, Florian},
TITLE = {The fundamental group of the circle is trivial},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {112},
YEAR = {2005},
NUMBER = {5},
PAGES = {417--425},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {57M05},
MRNUMBER = {2139574 (2005k:57002)},
}
@article {MR2153121,
AUTHOR = {Deloup, Florian},
TITLE = {Mono\"\i de des enlacements et facteurs orthogonaux},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {5},
YEAR = {2005},
PAGES = {419--442 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57M27 (11E04 57N10)},
MRNUMBER = {2153121 (2006e:57013)},
MRREVIEWER = {Mohamed Elhamdadi},
DOI = {10.2140/agt.2005.5.419},
}
@article {MR0404392,
AUTHOR = {Dennis, R. Keith and Geller, Susan C.},
TITLE = {{$K\sb{i}$} of upper triangular matrix rings},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {56},
YEAR = {1976},
PAGES = {73--78},
ISSN = {0002-9939},
MRCLASS = {18F25},
MRNUMBER = {MR0404392 (53 \#8194)},
MRREVIEWER = {Jean-Louis Loday},
}
@book {MR1233388,
AUTHOR = {Farb, Benson and Dennis, R. Keith},
TITLE = {Noncommutative algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {144},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {xiv+223},
ISBN = {0-387-94057-X},
MRCLASS = {16-01},
MRNUMBER = {1233388 (94j:16001)},
MRREVIEWER = {G. Krause},
}
@article {MR1895370,
AUTHOR = {Diao, Y. and Ernst, C. and Janse Van Rensburg, E. J.},
TITLE = {Upper bounds on linking numbers of thick links},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {11},
YEAR = {2002},
NUMBER = {2},
PAGES = {199--210},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {1895370 (2003a:57009)},
MRREVIEWER = {Nikolai N. Saveliev},
DOI = {10.1142/S0218216502001573},
URL = {http://dx.doi.org/10.1142/S0218216502001573},
}
@article {MR0444709,
AUTHOR = {Dicks, Warren},
TITLE = {Mayer-{V}ietoris persentations over colimits of rings},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {34},
YEAR = {1977},
NUMBER = {3},
PAGES = {557--576},
ISSN = {0024-6115},
MRCLASS = {16A54 (16A62)},
MRNUMBER = {MR0444709 (56 \#3059)},
MRREVIEWER = {J. Ohm},
}
@book {MR1001965,
AUTHOR = {Dicks, Warren and Dunwoody, M. J.},
TITLE = {Groups acting on graphs},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {17},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1989},
PAGES = {xvi+283},
ISBN = {0-521-23033-0},
MRCLASS = {20-02 (05C25 57M05)},
MRNUMBER = {MR1001965 (91b:20001)},
MRREVIEWER = {D. E. Cohen},
}
@article {MR509164,
AUTHOR = {Dicks, Warren and Sontag, Eduardo D.},
TITLE = {Sylvester domains},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {13},
YEAR = {1978},
NUMBER = {3},
PAGES = {243--275},
ISSN = {0022-4049},
MRCLASS = {16A39},
MRNUMBER = {MR509164 (80j:16014)},
MRREVIEWER = {V. N. Latyshev},
}
@article {MR531320,
AUTHOR = {Bergman, George M. and Dicks, Warren},
TITLE = {Universal derivations and universal ring constructions},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {79},
YEAR = {1978},
NUMBER = {2},
PAGES = {293--337},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {16A72},
MRNUMBER = {MR531320 (81b:16024)},
MRREVIEWER = {B. Stenstr{\"o}m},
}
@article {MR545199,
AUTHOR = {Dicks, Warren},
TITLE = {Hereditary group rings},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {The Journal of the London Mathematical Society. Second Series},
VOLUME = {20},
YEAR = {1979},
NUMBER = {1},
PAGES = {27--38},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {16A27 (20C07)},
MRNUMBER = {MR545199 (80k:16017)},
MRREVIEWER = {Kenneth A. Brown},
}
@article {MR700294,
AUTHOR = {Dicks, Warren},
TITLE = {The {HNN} construction for rings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {81},
YEAR = {1983},
NUMBER = {2},
PAGES = {434--487},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16A05 (16A54 16A60)},
MRNUMBER = {MR700294 (85c:16005)},
MRREVIEWER = {L. G. Makar-Limanov},
}
@article {MR764489,
AUTHOR = {Dicks, Warren},
TITLE = {Homogeneous elements of free algebras have free idealizers},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {97},
YEAR = {1985},
NUMBER = {1},
PAGES = {7--26},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {16A06},
MRNUMBER = {764489 (86a:16003)},
MRREVIEWER = {L. G. Makar-Limanov},
DOI = {10.1017/S030500410006254X},
URL = {http://dx.doi.org/10.1017/S030500410006254X},
}
@book {MR0104735,
AUTHOR = {Dickson, Leonard Eugene},
TITLE = {Linear groups: {W}ith an exposition of the {G}alois field
theory},
SERIES = {with an introduction by W. Magnus},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1958},
PAGES = {xvi+312},
MRCLASS = {20.00},
MRNUMBER = {MR0104735 (21 \#3488)},
}
@article {MR1507871,
AUTHOR = {Dickson, Leonard Eugene},
TITLE = {Canonical {F}orm of a {L}inear {H}omogeneous {T}ransformation
in an {A}rbitrary {R}ealm of {R}ationality},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {24},
YEAR = {1902},
NUMBER = {2},
PAGES = {101--108},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {Contributed Item},
MRNUMBER = {1507871},
DOI = {10.2307/2369965},
URL = {http://dx.doi.org/10.2307/2369965},
}
@article {MR1558550,
AUTHOR = {Dickson, Leonard Eugene},
TITLE = {On quadratic forms in a general field},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {14},
YEAR = {1907},
NUMBER = {3},
PAGES = {108--115},
ISSN = {0002-9904},
MRCLASS = {Contributed Item},
MRNUMBER = {1558550},
DOI = {10.1090/S0002-9904-1907-01568-9},
URL = {http://dx.doi.org/10.1090/S0002-9904-1907-01568-9},
}
@article {MR0245027,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Faserb\"undel mit {G}ruppenoperation},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {20},
YEAR = {1969},
PAGES = {136--143},
ISSN = {0003-889X},
MRCLASS = {57.30},
MRNUMBER = {MR0245027 (39 \#6340)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0266241,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Bordism of {$G$}-manifolds and integrality theorems},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {345--358},
ISSN = {0040-9383},
MRCLASS = {57.47},
MRNUMBER = {MR0266241 (42 \#1148)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0267572,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Ga\"lttung \"aquivarianter {H}omotopiemengen},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {20},
YEAR = {1969},
PAGES = {288--295},
ISSN = {0003-889X},
MRCLASS = {55.30},
MRNUMBER = {MR0267572 (42 \#2474)},
MRREVIEWER = {M. N. Dyer},
}
@book {MR0275446,
AUTHOR = {Broecker, Theodor and tom Dieck, Tammo},
TITLE = {Kobordismentheorie},
SERIES = {Lecture Notes in Mathematics, Vol. 178},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {xvi+191},
MRCLASS = {57.10 (55.00)},
MRNUMBER = {MR0275446 (43 \#1202)},
MRREVIEWER = {P. S. Landweber},
}
@article {MR0293625,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Partitions of unity in homotopy theory},
JOURNAL = {Composito Math.},
VOLUME = {23},
YEAR = {1971},
PAGES = {159--167},
MRCLASS = {55D10},
MRNUMBER = {0293625 (45 \#2702)},
MRREVIEWER = {Ronald Brown},
}
@article {MR0310919,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Orbittypen und \"aquivariante {H}omologie. {I}},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {23},
YEAR = {1972},
PAGES = {307--317},
ISSN = {0003-889X},
MRCLASS = {57D85},
MRNUMBER = {MR0310919 (46 \#10017)},
MRREVIEWER = {W. Metzler},
}
@book {MR0407833,
AUTHOR = {tom Dieck, Tammo and Kamps, K. H. and Puppe, Dieter},
TITLE = {Homotopietheorie},
SERIES = {Lecture Notes in Mathematics, Vol. 157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {vi+265},
MRCLASS = {55DXX},
MRNUMBER = {MR0407833 (53 \#11603)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR0436177,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Orbittypen und \"aquivariante {H}omologie. {II}},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {26},
YEAR = {1975},
NUMBER = {6},
PAGES = {650--662},
ISSN = {0003-889X},
MRCLASS = {57F15},
MRNUMBER = {MR0436177 (55 \#9127)},
MRREVIEWER = {H. Scheerer},
}
@article {MR1058962,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Verschlingung in {B}aum-{M}annigfaltigkeiten},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {34},
YEAR = {1990},
NUMBER = {1},
PAGES = {57--65},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57R19},
MRNUMBER = {MR1058962 (91i:57017)},
MRREVIEWER = {Ian Hambleton},
}
@book {MR2456045,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Algebraic topology},
SERIES = {EMS Textbooks in Mathematics},
PUBLISHER = {European Mathematical Society (EMS), Z\"urich},
YEAR = {2008},
PAGES = {xii+567},
ISBN = {978-3-03719-048-7},
MRCLASS = {55-01},
MRNUMBER = {2456045 (2009f:55001)},
MRREVIEWER = {Donald M. Davis},
DOI = {10.4171/048},
URL = {http://dx.doi.org/10.4171/048},
}
@book {MR551743,
AUTHOR = {tom Dieck, Tammo},
TITLE = {Transformation groups and representation theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {766},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {viii+309},
ISBN = {3-540-09720-1},
MRCLASS = {57S25 (20C99 55N25)},
MRNUMBER = {MR551743 (82c:57025)},
MRREVIEWER = {V. P. Snaith},
}
@book {MR781344,
AUTHOR = {Broecker, Theodor and tom Dieck, Tammo},
TITLE = {Representations of compact {L}ie groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {98},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1985},
PAGES = {x+313},
ISBN = {0-387-13678-9},
MRCLASS = {22E45 (57-01)},
MRNUMBER = {MR781344 (86i:22023)},
MRREVIEWER = {R. Schultz},
}
@book {MR2159259,
AUTHOR = {Diestel, Reinhard},
TITLE = {Graph theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {173},
EDITION = {Third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2005},
PAGES = {xvi+411},
ISBN = {978-3-540-26182-7; 3-540-26182-6; 978-3-540-26183-4},
MRCLASS = {05-06 (05Cxx)},
MRNUMBER = {MR2159259 (2006e:05001)},
MRREVIEWER = {Gabriel Semani{\v{s}}in},
}
@article {MR0085212,
AUTHOR = {Dieudonn{\'e}, Jean},
TITLE = {Pseudo-discriminant and {D}ickson invariant},
JOURNAL = {Pacific. J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {5},
YEAR = {1955},
PAGES = {907--910},
ISSN = {0030-8730},
MRCLASS = {15.0X},
MRNUMBER = {MR0085212 (19,6a)},
MRREVIEWER = {C. Arf},
}
@book {MR2509981,
AUTHOR = {Dieudonn{\'e}, Jean},
TITLE = {A history of algebraic and differential topology 1900--1960},
SERIES = {Modern Birkh\"auser Classics},
NOTE = {Reprint of the 1989 edition [MR0995842]},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {2009},
PAGES = {xxii+648},
ISBN = {978-0-8176-4906-7},
MRCLASS = {01A60 (55-02 55-03 57-02 57-03)},
MRNUMBER = {MR2509981},
}
@book {MR658305,
AUTHOR = {Dieudonn{\'e}, Jean},
TITLE = {\'{E}l\'ements d'analyse. {T}ome {IX}. {C}hapitre {XXIV}},
SERIES = {Cahiers Scientifiques [Scientific Reports], XL11},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1982},
PAGES = {xviii+380},
ISBN = {2-04-011499-8},
MRCLASS = {57Rxx (00A05 55-01 58-01)},
MRNUMBER = {658305 (84a:57021)},
MRREVIEWER = {J. Eells},
}
@article {MR1047124,
AUTHOR = {Dimca, Alexandru},
TITLE = {Betti numbers of hypersurfaces and defects of linear systems},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {60},
YEAR = {1990},
NUMBER = {1},
PAGES = {285--298},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {14J70 (14C30 14F25 32S50)},
MRNUMBER = {1047124 (91f:14041)},
MRREVIEWER = {Piotr Jaworski},
DOI = {10.1215/S0012-7094-90-06010-7},
URL = {http://dx.doi.org/10.1215/S0012-7094-90-06010-7},
}
@book {MR1194180,
AUTHOR = {Dimca, Alexandru},
TITLE = {Singularities and topology of hypersurfaces},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1992},
PAGES = {xvi+263},
ISBN = {0-387-97709-0},
MRCLASS = {32Sxx (14J70 32S25 32S50 57M25 57R45 58C27)},
MRNUMBER = {MR1194180 (94b:32058)},
MRREVIEWER = {Aleksandr G. Aleksandrov},
}
@book {MR2050072,
AUTHOR = {Dimca, Alexandru},
TITLE = {Sheaves in topology},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {xvi+236},
ISBN = {3-540-20665-5},
MRCLASS = {55N30 (14F43 32S60 55N25)},
MRNUMBER = {MR2050072 (2005j:55002)},
MRREVIEWER = {Ana Jerem{\'{\i}}as L{\'o}pez},
}
@article{dotko_cohomology_2011,
title = {Cohomology in electromagnetic modeling},
url = {http://arxiv.org/abs/1111.2374},
abstract = {Electromagnetic modeling provides an
interesting context to present a link between physical
phenomena and homology and cohomology theories. Over the past
twenty-five years, a considerable effort has been invested by
the computational electromagnetics community to develop fast
and general techniques for potential design. When
magneto-quasi-static discrete formulations based on magnetic
scalar potential are employed in problems which involve
conductive regions with holes, {\textbackslash}textit{cuts} are
needed to make the boundary value problem well defined. While
an intimate connection with homology theory has been quickly
recognized, heuristic definitions of cuts are surprisingly
still dominant in the literature. The aim of this paper is
first to survey several definitions of cuts together with their
shortcomings. Then, cuts are defined as generators of the first
cohomology group over integers of a finite {CW-complex.} This
provably general definition has also the virtue of providing an
automatic, general and efficient algorithm for the computation
of cuts. Some counter-examples show that heuristic definitions
of cuts should be abandoned. The use of cohomology theory is
not an option but the invaluable tool expressly needed to solve
this problem.},
journal = {{arXiv:1111.2374}},
author = {Dlotko, Pawel� and Specogna, Ruben},
month = nov,
year = {2011},
keywords = {Mathematics - Algebraic Topology},
}
@book {MR0394451,
AUTHOR = {DoCarmo, Manfredo P.},
TITLE = {Differential geometry of curves and surfaces},
NOTE = {Translated from the Portuguese},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1976},
PAGES = {viii+503},
MRCLASS = {53-02},
MRNUMBER = {0394451 (52 \#15253)},
}
@book {MR1430097,
AUTHOR = {Dodson, C. T. J. and Parker, Phillip E.},
TITLE = {A user's guide to algebraic topology},
SERIES = {Mathematics and its Applications},
VOLUME = {387},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1997},
PAGES = {xii+405},
ISBN = {0-7923-4292-5},
MRCLASS = {55-02 (57-02)},
MRNUMBER = {MR1430097 (97j:55001)},
MRREVIEWER = {Donald M. Davis},
}
@article {MR0407872,
AUTHOR = {Dodziuk, Jozef},
TITLE = {Finite-difference approach to the {H}odge theory of harmonic
forms},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {98},
YEAR = {1976},
NUMBER = {1},
PAGES = {79--104},
ISSN = {0002-9327},
MRCLASS = {58A10 (58G99)},
MRNUMBER = {MR0407872 (53 \#11642)},
MRREVIEWER = {D. B. Fuks},
}
@article{baez_higher-dimensional_1995,
author={Baez, John and Dolan, James},
title = {Higher-dimensional Algebra and Topological Quantum
Field Theory},
url = {http://arxiv.org/abs/q-alg/9503002},
doi = {10.1063/1.531236},
abstract = {The study of topological quantum field theories
increasingly relies upon concepts from higher-dimensional
algebra such as n-categories and n-vector spaces. We review
progress towards a definition of n-category suited for this
purpose, and outline a program in which n-dimensional {TQFTs
}
@article {MR0073986,
AUTHOR = {Dold, Albrecht},
TITLE = {\"{U}ber fasernweise {H}omotopie\"aquivalenz von
{F}aserr\"aumen},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {62},
YEAR = {1955},
PAGES = {111--136},
ISSN = {0025-5874},
MRCLASS = {55.0X},
MRNUMBER = {MR0073986 (17,519d)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0097057,
AUTHOR = {Dold, Albrecht},
TITLE = {Homology of symmetric products and other functors of
complexes},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {54--80},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {0097057 (20 \#3537)},
MRREVIEWER = {Sze-tsen Hu},
}
@article {MR0097062,
AUTHOR = {Dold, Albrecht and Thom, Ren{\'e}},
TITLE = {Quasifaserungen und unendliche symmetrische {P}rodukte},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {67},
YEAR = {1958},
PAGES = {239--281},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {0097062 (20 \#3542)},
MRREVIEWER = {Sze-tsen Hu},
}
@article {MR0101521,
AUTHOR = {Dold, Albrecht and Lashof, R. K.},
TITLE = {Principal quasi-fibrations and fibre homotopy equivalence of
bundles. },
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {3},
YEAR = {1959},
PAGES = {285--305},
ISSN = {0019-2082},
MRCLASS = {55.00},
MRNUMBER = {0101521 (21 \#331)},
MRREVIEWER = {Sze-tsen Hu},
}
@article {MR0112906,
AUTHOR = {Dold, Albrecht},
TITLE = {Zur {H}omotopietheorie der {K}ettenkomplexe},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {140},
YEAR = {1960},
PAGES = {278--298},
ISSN = {0025-5831},
MRCLASS = {18.00 (55.00)},
MRNUMBER = {MR0112906 (22 \#3752)},
MRREVIEWER = {A. Heller},
}
@article {MR0123318,
AUTHOR = {Dold, Albrecht},
TITLE = {\"{U}ber die {S}teenrodschen {K}ohomologieoperationen},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {73},
YEAR = {1961},
PAGES = {258--294},
ISSN = {0003-486X},
MRCLASS = {55.34},
MRNUMBER = {MR0123318 (23 \#A646)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0123331,
AUTHOR = {Dold, Albrecht and Whitney, Hassler},
TITLE = {Classification of oriented sphere bundles over a
{$4$}-complex},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {69},
YEAR = {1959},
PAGES = {667--677},
ISSN = {0003-486X},
MRCLASS = {55.50},
MRNUMBER = {MR0123331 (23 \#A659)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0137113,
AUTHOR = {Dold, Albrecht},
TITLE = {Decomposition theorems for {$S(n)$}-complexes},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {8--16},
ISSN = {0003-486X},
MRCLASS = {55.99},
MRNUMBER = {MR0137113 (25 \#569)},
MRREVIEWER = {S.-T. Hu},
}
@article {MR0150183,
AUTHOR = {Dold, Albrecht and Puppe, Dieter},
TITLE = {Homologie nicht-additiver {F}unktoren. {A}nwendungen},
JOURNAL = {Ann. Inst. Fourier Grenoble},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {11},
YEAR = {1961},
PAGES = {201--312},
ISSN = {0373-0956},
MRCLASS = {18.20},
MRNUMBER = {MR0150183 (27 \#186)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0155330,
AUTHOR = {Dold, Albrecht},
TITLE = {Partitions of unity in the theory of fibrations},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {78},
YEAR = {1963},
PAGES = {223--255},
ISSN = {0003-486X},
MRCLASS = {55.50},
MRNUMBER = {MR0155330 (27 \#5264)},
MRREVIEWER = {E. Fadell},
}
@book {MR1335915,
AUTHOR = {Dold, Albrecht},
TITLE = {Lectures on algebraic topology},
SERIES = {Classics in Mathematics},
NOTE = {Reprint of the 1972 edition},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xii+377},
ISBN = {3-540-58660-1},
MRCLASS = {55-02 (01A75)},
MRNUMBER = {MR1335915 (96c:55001)},
}
@article {MR733829,
AUTHOR = {Dold, Albrecht and Puppe, Dieter},
TITLE = {Duality, trace and transfer},
NOTE = {Topology (Moscow, 1979)},
JOURNAL = {Trudy Mat. Inst. Steklov.},
FJOURNAL = {Akademiya Nauk SSSR. Trudy Matematicheskogo Instituta imeni V.
A. Steklova},
VOLUME = {154},
YEAR = {1983},
PAGES = {81--97},
ISSN = {0371-9685},
MRCLASS = {55P25},
MRNUMBER = {MR733829 (85i:55007)},
}
@article {MR1829079,
AUTHOR = {Bryan, Jim and Donagi, Ron and Stipsicz, Andr{\'a}s I.},
TITLE = {Surface bundles: some interesting examples},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {25},
YEAR = {2001},
NUMBER = {1},
PAGES = {61--68},
ISSN = {1300-0098},
MRCLASS = {57R15 (57R22)},
MRNUMBER = {1829079 (2002a:57034)},
MRREVIEWER = {Ivan Smith},
}
@article {MR1885589,
AUTHOR = {Bryan, Jim and Donagi, Ron},
TITLE = {Surface bundles over surfaces of small genus},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {6},
YEAR = {2002},
PAGES = {59--67 (electronic)},
ISSN = {1465-3060},
MRCLASS = {14J80 (14D05 57M12 57N13)},
MRNUMBER = {1885589 (2002m:14037)},
MRREVIEWER = {Ivan Smith},
DOI = {10.2140/gt.2002.6.59},
URL = {http://dx.doi.org/10.2140/gt.2002.6.59},
}
@inproceedings {MR1734402,
AUTHOR = {Donaldson, S. K.},
TITLE = {Topological field theories and formulae of {C}asson and
{M}eng-{T}aubes},
BOOKTITLE = {Proceedings of the {K}irbyfest ({B}erkeley, {CA}, 1998)},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {2},
PAGES = {87--102},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {1999},
MRCLASS = {57R56 (14H60 57Q10 57R57)},
MRNUMBER = {1734402 (2001f:57033)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.2140/gtm.1999.2.87},
URL = {http://dx.doi.org/10.2140/gtm.1999.2.87},
}
@article {MR707164,
AUTHOR = {Atiyah, M. F. and Donnelly, H. and Singer, I. M.},
TITLE = {Eta invariants, signature defects of cusps, and values of
{$L$}-functions},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {118},
YEAR = {1983},
NUMBER = {1},
PAGES = {131--177},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {58G11 (11F41 11G40 11R42 58G10)},
MRNUMBER = {MR707164 (86g:58134a)},
MRREVIEWER = {R. Sczech},
}
@article{inertia,
AUTHOR={Dossena, Giacomo},
TITLE={Sylvester's Law of Inertia for quadratic forms on vector bundles},
}
@article {MR1137777,
AUTHOR = {Douglas, Ronald G. and Wojciechowski, Krzysztof P.},
TITLE = {Adiabatic limits of the {$\eta$}-invariants. {T}he
odd-dimensional {A}tiyah-{P}atodi-{S}inger problem},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {142},
YEAR = {1991},
NUMBER = {1},
PAGES = {139--168},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G25 (58G11 58G20)},
MRNUMBER = {MR1137777 (92j:58110)},
MRREVIEWER = {Peter Haskell},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104248492},
}
@article {MR629360,
AUTHOR = {Dovermann, Karl Heinz},
TITLE = {{$Z\sb{2}$} surgery theory},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {28},
YEAR = {1981},
NUMBER = {3},
PAGES = {267--287},
ISSN = {0026-2285},
MRCLASS = {57R65 (57S17)},
MRNUMBER = {MR629360 (83b:57019)},
MRREVIEWER = {Gerald A. Anderson},
}
@article {MR0048030,
AUTHOR = {Dowker, C. H.},
TITLE = {Homology groups of relations},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {56},
YEAR = {1952},
PAGES = {84--95},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0048030 (13,967d)},
MRREVIEWER = {E. H. Spanier},
}
@article {MR2100440,
AUTHOR = {Dowker, J. S.},
TITLE = {Spherical universe topology and the {C}asimir effect},
JOURNAL = {Classical Quantum Gravity},
FJOURNAL = {Classical and Quantum Gravity},
VOLUME = {21},
YEAR = {2004},
NUMBER = {17},
PAGES = {4247--4271},
ISSN = {0264-9381},
CODEN = {CQGRDG},
MRCLASS = {58J90 (33C55 58J28 58J52 81T20 83F05 85A40)},
MRNUMBER = {MR2100440 (2005h:58068)},
MRREVIEWER = {Floyd L. Williams},
}
@article {MR0226644,
AUTHOR = {Doyle, P. H. and Moran, D. A.},
TITLE = {A short proof that compact {$2$}-manifolds can be
triangulated},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {5},
YEAR = {1968},
PAGES = {160--162},
ISSN = {0020-9910},
MRCLASS = {57.01 (54.00)},
MRNUMBER = {0226644 (37 \#2233)},
MRREVIEWER = {S. S. Cairns},
}
@article {FINITE2,
AUTHOR = {Dranishnikov, A. and Ferry, S. and Weinberger, Shmuel},
TITLE = {Abstract Integral Novikov conjecture for asymptotically finite-dimensional groups},
JOURNAL = {preprint},
YEAR = {2005},
}
@article{math.GT/0509644,
title = {{An etale approach to the Novikov conjecture}},
author = {A. Dranishnikov and S. Ferry and Shmuel Weinberger},
eprint = {arXiv:math.GT/0509644},
}
@article{math.GT/0611004,
title = {{Cell-like maps and topological structure groups on manifolds}},
author = {A. Dranishnikov and S. Ferry},
eprint = {arXiv:math.GT/0611004},
}
@article {MR0267585,
AUTHOR = {Dress, A.},
TITLE = {Zur {S}pectralsequenz von {F}aserungen},
JOURNAL = {Invent. Math.},
VOLUME = {3},
YEAR = {1967},
PAGES = {172--178},
MRCLASS = {55.50},
MRNUMBER = {MR0267585 (42 \#2487)},
MRREVIEWER = {M. N. Dyer},
}
@article{drobot_cantor_1963,
title = {The Cantor Expansion of Real Numbers},
volume = {70},
issn = {00029890},
url = {http://www.jstor.org/stable/2312797},
number = {1},
journal = {The American Mathematical Monthly},
author = {Stefan Drobot},
year = {1963},
note = {{ArticleType:} primary\_article / Full publication date: Jan., 1963 / Copyright � 1963 Mathematical Association of America},
pages = {80--81},
}
@article {MR1193602,
AUTHOR = {DuBois, Philippe and Michel, Francoise},
TITLE = {Cobordism of algebraic knots via {S}eifert forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {111},
YEAR = {1993},
NUMBER = {1},
PAGES = {151--169},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57Q45 (32S55)},
MRNUMBER = {MR1193602 (94d:57051)},
MRREVIEWER = {J. P. Levine},
}
@article{duboiswegner,
author = {Dubois, Jerome and Wegner, Christian},
title = {L2 Alexander invariant for knots},
year = {2013},
keywords = {{57M25}, Mathematics - Geometric Topology},
}
@book {MR1076994,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {III}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {124},
NOTE = {Introduction to homology theory,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1990},
PAGES = {x+416},
ISBN = {0-387-97271-4},
MRCLASS = {55-02 (57-02 58-01)},
MRNUMBER = {1076994 (91j:55001)},
}
@book {MR1138462,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {I}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {93},
EDITION = {Second},
NOTE = {The geometry of surfaces, transformation groups, and fields,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1992},
PAGES = {xvi+468},
ISBN = {0-387-97663-9},
MRCLASS = {53-01 (00A05 58-01)},
MRNUMBER = {1138462 (92h:53001)},
MRREVIEWER = {Peter R. Law},
}
@article {MR2085176,
AUTHOR = {Dugger, Daniel and Shipley, Brooke},
TITLE = {{$K$}-theory and derived equivalences},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {124},
YEAR = {2004},
NUMBER = {3},
PAGES = {587--617},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {19D99 (18E30 55U35)},
MRNUMBER = {MR2085176 (2005e:19005)},
MRREVIEWER = {Daniel C. Isaksen},
}
@book {MR1987179,
AUTHOR = {Granas, Andrzej and Dugundji, James},
TITLE = {Fixed point theory},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xvi+690},
ISBN = {0-387-00173-5},
MRCLASS = {58C30 (47H10 47H11 47J05 54H25 55M20)},
MRNUMBER = {MR1987179 (2004d:58012)},
MRREVIEWER = {A. G. Kartsatos},
}
@article {MR0649277,
AUTHOR = {Duistermaat, J. J.},
TITLE = {On the {M}orse index in variational calculus},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {21},
YEAR = {1976},
NUMBER = {2},
PAGES = {173--195},
ISSN = {0001-8708},
MRCLASS = {58E05},
MRNUMBER = {MR0649277 (58 \#31190)},
}
@article{friedl_twisted_2010,
title = {Twisted Alexander polynomials of hyperbolic knots},
author = {Nicholas Jackson and Nathan Dunfield and Stefan Friedl},
year = {2010},
keywords = {preprint},
}
@book {MR1009162,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {I}},
SERIES = {Wiley Classics Library},
NOTE = {General theory,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1958 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {xiv+858},
ISBN = {0-471-60848-3},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009162 (90g:47001a)},
}
@book {MR1009163,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {II}},
SERIES = {Wiley Classics Library},
NOTE = {Spectral theory. Selfadjoint operators in Hilbert space,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {i--x, 859--1923 and 1--7},
ISBN = {0-471-60847-5},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009163 (90g:47001b)},
}
@book {MR1009164,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {III}},
SERIES = {Wiley Classics Library},
NOTE = {Spectral operators,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1971 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {i--xx and 1925--2592},
ISBN = {0-471-60846-7},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009164 (90g:47001c)},
}
@book {MR1001965,
AUTHOR = {Dicks, Warren and Dunwoody, M. J.},
TITLE = {Groups acting on graphs},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {17},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1989},
PAGES = {xvi+283},
ISBN = {0-521-23033-0},
MRCLASS = {20-02 (05C25 57M05)},
MRNUMBER = {MR1001965 (91b:20001)},
MRREVIEWER = {D. E. Cohen},
}
@article {MR0273639,
AUTHOR = {Dupont, Johan L.},
TITLE = {On homotopy invariance of the tangent bundle. {I}, {II}},
JOURNAL = {Math. Scand. 26 (1970), 5-13; ibid.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {26},
YEAR = {1970},
PAGES = {200--220},
ISSN = {0025-5521},
MRCLASS = {57.30},
MRNUMBER = {MR0273639 (42 \#8516)},
MRREVIEWER = {J. M. Boardman},
}
@article {MR0451256,
AUTHOR = {Atiyah, M. F. and Dupont, Johan L.},
TITLE = {Vector fields with finite singularities},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {128},
YEAR = {1972},
PAGES = {1--40},
ISSN = {0001-5962},
MRCLASS = {57D25},
MRNUMBER = {MR0451256 (56 \#9543)},
MRREVIEWER = {Ulrich Koschorke},
}
@book {MR0500997,
AUTHOR = {Dupont, Johan L.},
TITLE = {Curvature and characteristic classes},
SERIES = {Lecture Notes in Mathematics, Vol. 640},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {viii+175},
ISBN = {3-540-08663-3},
MRCLASS = {57D20 (53-02)},
MRNUMBER = {MR0500997 (58 \#18477)},
MRREVIEWER = {D. Lehmann},
}
@article {MR510553,
AUTHOR = {Dupont, Johan L. and Guichardet, A.},
TITLE = {\`{A} propos de l'article: ``{S}ur la cohomologie r\'eelle des
groupes de {L}ie simples r\'eels'' [{A}nn. {S}ci. {E}\'cole
{N}orm. {S}up. (4) {\bf 11} (1978), no. 2, 277--292]\ par
{G}uichardet et {D}. {W}igner},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {11},
YEAR = {1978},
NUMBER = {2},
PAGES = {293--295},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {22E99},
MRNUMBER = {MR510553 (80g:22023b)},
MRREVIEWER = {W. T. van Est},
URL = {http://www.numdam.org/item?id=ASENS_1978_4_11_2_293_0},
}
@article {MR0336750,
AUTHOR = {Durfee, Alan},
TITLE = {Fibered knots and algebraic singularities},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {47--59},
ISSN = {0040-9383},
MRCLASS = {57C45 (32C40)},
MRNUMBER = {MR0336750 (49 \#1523)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0385872,
AUTHOR = {Durfee, Alan and Kauffman, Louis},
TITLE = {Periodicity of branched cyclic covers},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {218},
YEAR = {1975},
NUMBER = {2},
PAGES = {157--174},
ISSN = {0025-5831},
MRCLASS = {57C45},
MRNUMBER = {MR0385872 (52 \#6731)},
MRREVIEWER = {Richard Randell},
}
@article {MR0396583,
AUTHOR = {Durfee, Alan},
TITLE = {The characteristic polynomial of the monodromy},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {59},
YEAR = {1975},
NUMBER = {1},
PAGES = {21--26},
ISSN = {0030-8730},
MRCLASS = {14H20 (14B05 14H30 57C45 32C40)},
MRNUMBER = {MR0396583 (53 \#445)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR0466620,
AUTHOR = {Durfee, Alan},
TITLE = {The signature of smoothings of complex surface singularities},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {232},
YEAR = {1978},
NUMBER = {1},
PAGES = {85--98},
ISSN = {0025-5831},
MRCLASS = {32C40},
MRNUMBER = {MR0466620 (57 \#6497)},
MRREVIEWER = {H. B. Laufer},
}
@incollection {MR1674919,
AUTHOR = {Durfee, Alan},
TITLE = {Singularities},
BOOKTITLE = {History of topology},
PAGES = {417--434},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {57-03 (57R45)},
MRNUMBER = {MR1674919 (2000h:57002)},
DOI = {10.1016/B978-044482375-5/50014-6},
URL = {http://dx.doi.org/10.1016/B978-044482375-5/50014-6},
}
@article {MR0031522,
AUTHOR = {Jones, Burton W. and Durfee, William H.},
TITLE = {A theorem on quadratic forms over the ring {$2$}-adic
integers},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {55},
YEAR = {1949},
PAGES = {758--762},
ISSN = {0002-9904},
MRCLASS = {10.0X},
MRNUMBER = {MR0031522 (11,164b)},
MRREVIEWER = {R. Hull},
}
@article {MR774672,
AUTHOR = {Duval, Julien},
TITLE = {Forme de {B}lanchfield et cobordisme d'entrelacs bords},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences.
S\'erie I. Math\'ematique},
VOLUME = {299},
YEAR = {1984},
NUMBER = {18},
PAGES = {935--938},
ISSN = {0249-6291},
CODEN = {CASMEI},
MRCLASS = {57Q45},
MRNUMBER = {MR774672 (86c:57020)},
}
@article{MR0442921,
AUTHOR = {Coram, D. S. and Duvall, P. F.},
TITLE = {Approximate fibrations},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {7},
YEAR = {1977},
NUMBER = {2},
PAGES = {275--288},
ISSN = {0035-7596},
MRCLASS = {55D05},
MRNUMBER = {0442921 (56 \#1296)},
MRREVIEWER = {C. W. Patty},
}
@article{MR594320,
AUTHOR = {Coram, D. S. and Duvall, P. F.},
TITLE = {Homotopy equivalences and mapping torus projections},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {109},
YEAR = {1980},
NUMBER = {1},
PAGES = {1--7},
ISSN = {0016-2736},
CODEN = {FUMAAJ},
MRCLASS = {55R05},
MRNUMBER = {594320 (82b:55014)},
MRREVIEWER = {J. E. Keesling},
}
@incollection {MR1000374,
AUTHOR = {Dwyer, W. G. and Kan, D. M.},
TITLE = {Homology with simplicial coefficients},
BOOKTITLE = {Algebraic topology (Arcata, CA, 1986)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1370},
PAGES = {143--149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1989},
MRCLASS = {55U10 (55N99)},
MRNUMBER = {MR1000374 (90d:55034)},
MRREVIEWER = {John F. Oprea},
}
@article {MR1982793,
AUTHOR = {Dwyer, W. G. and Weiss, Michael and Williams, Bruce},
TITLE = {A parametrized index theorem for the algebraic {$K$}-theory
{E}uler class},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {190},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--104},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {19D10 (57R10 58J22 58J52)},
MRNUMBER = {MR1982793 (2004d:19004)},
MRREVIEWER = {Kiyoshi Igusa},
}
@incollection {MR2222480,
AUTHOR = {Dwyer, W. G.},
TITLE = {Noncommutative localization in homotopy theory},
BOOKTITLE = {Non-commutative localization in algebra and topology},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {330},
PAGES = {24--39},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {2006},
MRCLASS = {55P60},
MRNUMBER = {2222480 (2007g:55010)},
MRREVIEWER = {Petar Pave{\v{s}}i{\'c}},
DOI = {10.1017/CBO9780511526381.009},
URL = {http://dx.doi.org/10.1017/CBO9780511526381.009},
}
@article {MR744846,
AUTHOR = {Dwyer, W. G. and Kan, D. M.},
TITLE = {A classification theorem for diagrams of simplicial sets},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {23},
YEAR = {1984},
NUMBER = {2},
PAGES = {139--155},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {55P15 (55U35)},
MRNUMBER = {MR744846 (86c:55010a)},
MRREVIEWER = {J. P. May},
}
@article {dwgriy,
AUTHOR = {Dwyer, W. G. and Greenlees, J.P.C. and Iyenagar, S.},
TITLE = {Duality in algebra and topology},
JOURNAL = {Advances in Mathematics},
}
@article{20.0519.04,
author="Dyck, W.",
title="{Beitr\"age zur Analysis situs. I.}",
language="German",
year="1888",
abstract="{Diese Arbeit enth\"alt eine weitere, systematische Ausf\"uhrung der
vom Verfasser bereits fr\"uher in den Grundz\"ugen und Hauptresultaten
mitgeteilten Theorie des Zusammenhanges von Curven und Fl\"achen, \"uber
welche in diesem Jahrbuch (XVII. 1885. 523, JFM 17.0523.02 und XVIII. 1886.
454, JFM 18.0454.01) von anderer Seite berichtet wurde. Es kann mithin f\"ur
das Verst\"andnis des Zweckes und der Grundgedanken dieser Untersuchungen
auf jene Referate, insbesondere das zweite, verwiesen werden. -- Aus der in
der Einleitung gegebenen Literatur-Uebersicht geht zun\"achst hervor, wie
ungemein zahlreich und mannigfach die Resultate sind, welche der Verfasser
hier unter einheitlichen Gesichtspunkten vereinigt. Die Hauptaufgabe,
n\"amlich Bestimmung der Charakteristik eines Gebildes, wird der Reihe nach
f\"ur ein- und zweidimensionale Mannigfaltigkeiten behandelt. In beiden
F\"allen wird zuerst rein geometrisch untersucht, durch welche allgemeinen
gestaltlichen Unterschiede und in welcher Weise die Charakteristik der
Curven oder Fl\"achen beeinflusst wird; dann wird gezeigt, wie auch f\"ur
analytisch gegebene Gebilde die Charakteristik gefunden werden kann. \par
Insofern die Theorie sich auf Curven bezieht, wird ein begrenztes
Curvenst\"uck ``Elementargebilde'' $(E^{\text I})$ genannt, und der
Inbegriff einer beliebigen Anzahl von Elementargebilden und von
geschlossenen Curvenz\"ugen, welche durch Verbindung der Endpunkte einzelner
oder mehrerer Elementargebilde entstanden sind, ``eindimensionale
Mannigfaltigkeit'' $(M^{\text I})$. Die Charakteristik von $M^{\text I}$ ist
dann gleich der Anzahl der vorhandenen offenen Curvenz\"uge. Ist analytisch
eine Curve $\psi(x, y)$ und ein Curvensystem $\varPhi(x, y, \lambda)$
gegeben, so wird die Charakteristik derjenigen Teile einer Curve $\varPhi$,
welche im Innern von $\psi$ liegen, bei stetiger Aenderung von $\lambda$
sich immer dann \"andern, wenn an irgend einer Stelle von $\psi$ eine
Ber\"uhrung mit $\varPhi$ eintritt. Die Zu- oder Abnahme der Charakteristik
an solcher Stelle entscheidet \"uber den (Kronecker'schen) Punktcharakter
derselben. Und von der f\"ur irgend einen Wert von $\lambda$ bekannten
Charakteristik aus kann man durch die Verfolgung der Aenderungen, welche
dieselbe an den ``Sprungstellen'' erleidet, w\"ahrend $\lambda$ abnimmt,
auch die gesuchte Charakteristik f\"ur die dem Werte $\lambda=0$
entsprechende Curve $\varphi$ finden. Eine Formel liefert sodann f\"ur alle
Ber\"uhrungsstellen die Punktcharaktere, durch deren Addition die gestellte
Aufgabe gel\"ost wird. Ein specielles Beispiel erl\"autert das Verfahren.
\par Im Gebiet der Fl\"achen ist das Elementargebilde $(E^{\text{II}})$ ein
in der Ebene ausbreitbares begrenztes Fl\"achenst\"uck, und die
Mannigfaltigkeit $M^{\text{II}}$ entsteht durch Zusammensetzung von
Elementargebilden l\"angs gewisser Randst\"ucke oder geschlossener
Randcurven, eventuell schematisch durch blosse Zuordnung von Randst\"ucken.
Durch Zusammensetzung unendlich vieler und unendlich kleiner
Elementargebilde entsteht die allgemeinste Form der $M^{\text{II}}$. Bildet
dieselbe eine zusammenh\"angende Fl\"ache, so ist zwischen Fl\"achen mit
umkehrbarer und nicht umkehrbarer Indicatrix zu unterscheiden. Aus den von
M\"obius aufgestellten ``Grundformen'' ergeben sich dann f\"ur beide F\"alle
``Normalformen'', und demn\"achst einfache Definitionsgleichungen f\"ur die
Charaktiristik. Es werden darauf die Beziehungen der Charaktiristik zur
Riemann'schen Zusammenhangszahl und anderen Abz\"ahlungen festgestellt,
wobei die geometrische Bedeutung der Charakteristiken-Theorie auf
verschiedene Arten hervortritt. Sie liefert die Bedingungen f\"ur die
umkehrbar eindeutige stetige Abbildung zweier Fl\"achen auf einender und
erm\"oglicht die vollst\"andige Beschreibung einer Fl\"ache im Sinne der
Analysis situs bez\"uglich ihrer absoluten Eigenschaften. -- Die analytische
Bestimmung der Charakteristik f\"ur Fl\"ache ohne Singularit\"aten erfolgt
im wesentlichen nach der f\"ur die Curven massgebenden Methode; nat\"urlich
gestalten sich die Vorkommnise, welche auf die zur Besimmung des
Punktcharakters der Sprungstellen n\"otigen Abz\"ahlungen Einfluss haben,
hier complicirter. Es werden drei verschiedene Abz\"ahlungen ausgef\"uhrt
von denen die letzte einerseits specialisirt, andererseits verallgemeinert
wird. Entweder n\"amlich vaiirt die Fl\"ache $\varPhi=0$ bei constantem
Innenraum von $\psi=0$, oder der Innenraum von $\varPsi=0$ bei constanter
Fl\"ache $\varphi=0$, oder eine Fl\"ache $X=0$ bei constanter, aus
$\varphi=0$ und $\psi<0$ gebildeter Mannigfaltigkeit. Zur Erl\"auterung des
Vorhergehenden werden analytische Beispiele f\"ur die Summation der
Punktcharaktere gegeben, wobei die Uebereinstimmung der Resultate mit der
Kronecker'schen Charakteristik und demnach mit der Gauss'schen Curvatura
inegra \"uberall hervortritt. Zuletzt werden auch die Fl\"achen mit
umkehrbarer Indicatrix, bei welchen Doppelcurven auftreten, betrachtet, und
auf die Charakteristik festgestellt. Auch diese Theorie wird durch ein
Beispiel erl\"autert, und zum Schluss die Ausdehnung dieser Untersuchungen
auf drei- und mehrdimensionale Mannigfaltigkeiten in Aussicht gestellt.}",
reviewer="{Schlegel, Dr. (Hagen)}",
}
@article{22.0547.02,
author="Dyck, W.",
title="{Beitr\"age zur Analysis situs II.}",
language="German",
year="1890",
abstract="{Die auf die Charakteristiken geometrischer Mannigfaltigkeiten
bez\"uglichen Untersuchungen, \"uber welche zuletzt im Jahrgang 1888 dieses
Jahrbuchs berichtet wurde (siehe JFM 20.0519.04), werden hier auf
Mannigfaltigkeiten von $n$ Dimensionen ausgedehnt. Auch hier wird zun\"achst
trotz der notwendigen analytischen Formulirung eine geometrische
Betrachtungsweise gew\"ahlt, w\"ahrend weiterhin durch die analog wie
fr\"uher erfolgende Zur\"uckf\"uhrung der charakteristischen Zahlen auf
Kronecker'sche Punktcharaktere auch die analytische Seite der Frage zu ihrem
Rechte kommt. Von den drei Abschnitten der Arbeit behandelt der erste die
Umformung und Abz\"ahlung der Elementar-Mannigfaltigkeiten nebst Definition
der charakteristischen Zahlen. Erl\"autert werden die Abz\"ahlungen an den
sph\"arischen und projectiven, sowie an einer besonders wichtigen Klasse von
Mannigfaltigkeiten vierten Grades. -- Im zweiten Abschnitt erfolgt die
Zur\"uckf\"uhrung der Abz\"ahlungen auf Kronecker'sche Charakteristiken,
unter Voraussetzung einfacher continuirlicher Entstehungs- und
Umformungsprocesse der Gebilde, mit H\"ulfe der singul\"aren Stellen. In
Ermangelung kanonischer Formen f\"ur die mehrdimensionalen verschiedenen
Mannigfaltigkeiten liefert jene Zur\"uckf\"uhrung bis jetzt den einzigen
Beweis f\"ur die Unabh\"angigkeit der charakteristischen Zahlen von der
Entstehungsweise dieser Gebilde. -- Der dritte Abschnitt ist den
quadratischen Mannigfaltigkeiten gewidmet, f\"ur welche die Bestimmung der
Charakteristik besonders einfach ausf\"allt. Ausblicke auf die Fortsetzung
dieser Untersuchungen sind dem zweiten Abschnitt angef\"ugt.}",
reviewer="{Schlegel, Prof. (Hagen)}",
}
@article {MR0485945,
AUTHOR = {Dye, R. H.},
TITLE = {On the {A}rf invariant},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {53},
YEAR = {1978},
NUMBER = {1},
PAGES = {36--39},
ISSN = {0021-8693},
MRCLASS = {15A72 (10C05)},
MRNUMBER = {MR0485945 (58 \#5738)},
MRREVIEWER = {Craig Cordes},
}
@article {MR0141112,
AUTHOR = {Dyer, Eldon and Lashof, R. K.},
TITLE = {Homology of iterated loop spaces},
JOURNAL = {Amer. J. Math.},
VOLUME = {84},
YEAR = {1962},
PAGES = {35--88},
MRCLASS = {55.30 (55.40)},
MRNUMBER = {MR0141112 (25 \#4523)},
MRREVIEWER = {J. F. Adams},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@incollection {MR1368656,
AUTHOR = {Eccles, Peter J.},
TITLE = {Double point manifolds of immersions of spheres in {E}uclidean
space},
BOOKTITLE = {Prospects in topology ({P}rinceton, {NJ}, 1994)},
SERIES = {Ann. of Math. Stud.},
VOLUME = {138},
PAGES = {125--137},
PUBLISHER = {Princeton Univ. Press, Princeton, NJ},
YEAR = {1995},
MRCLASS = {57R42 (55Q50 55Q52 57R75)},
MRNUMBER = {1368656 (96m:57044)},
MRREVIEWER = {Ulrich Koschorke},
}
@article {MR553578,
AUTHOR = {Eccles, Peter J.},
TITLE = {Multiple points of codimension one immersions of oriented
manifolds},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {87},
YEAR = {1980},
NUMBER = {2},
PAGES = {213--220},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {55Q45 (57R42)},
MRNUMBER = {553578 (81j:55014)},
MRREVIEWER = {K. Lamotke},
DOI = {10.1017/S030500410005667X},
URL = {http://dx.doi.org/10.1017/S030500410005667X},
}
@article {MR628831,
AUTHOR = {Eccles, Peter J.},
TITLE = {Codimension one immersions and the {K}ervaire invariant one
problem},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {90},
YEAR = {1981},
NUMBER = {3},
PAGES = {483--493},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57R42 (55Q10)},
MRNUMBER = {628831 (83c:57015)},
MRREVIEWER = {Christof Olk},
DOI = {10.1017/S0305004100058941},
URL = {http://dx.doi.org/10.1017/S0305004100058941},
}
@article{math.AT/0504152,
title = {{Bordism Groups of Immersions and Classes Represented by
Self-Intersections}},
author = {Peter J. Eccles and Mark Grant},
eprint = {arXiv:math.AT/0504152},
}
@article{math.AT/0509213,
title = {{Self-intersections of Immersions and Steenrod Operations}},
author = {Peter J. Eccles and Mark Grant},
eprint = {arXiv:math.AT/0509213},
}
@article {MR0013318,
AUTHOR = {Eckmann, Beno},
TITLE = {Harmonische {F}unktionen und {R}andwertaufgaben in einem
{K}omplex},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {17},
YEAR = {1945},
PAGES = {240--255},
ISSN = {0010-2571},
MRCLASS = {56.0X},
MRNUMBER = {MR0013318 (7,138f)},
MRREVIEWER = {H. Whitney},
}
@book {MR2269092,
AUTHOR = {Eckmann, Beno},
TITLE = {Mathematical survey lectures 1943--2004},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {viii+266},
ISBN = {978-3-540-33790-4; 3-540-33790-3},
MRCLASS = {55-06 (01A75 16-00 20-06 57-06)},
MRNUMBER = {MR2269092 (2008c:55001)},
MRREVIEWER = {Ross Geoghegan},
}
@article {MR604709,
AUTHOR = {Eckmann, Beno and M{\"u}ller, Heinz},
TITLE = {Poincar\'e duality groups of dimension two},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {4},
PAGES = {510--520},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M20 (57P10)},
MRNUMBER = {MR604709 (82f:57002)},
MRREVIEWER = {R. M. F. Moss},
}
@article {MR699010,
AUTHOR = {Eckmann, Beno and Linnell, Peter},
TITLE = {Poincar\'e duality groups of dimension two. {II}},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {111--114},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M20 (20F38 57P10)},
MRNUMBER = {MR699010 (84i:57003)},
MRREVIEWER = {R. M. F. Moss},
}
@incollection {MR2405684,
AUTHOR = {Edelsbrunner, Herbert and Harer, John},
TITLE = {Persistent homology---a survey},
BOOKTITLE = {Surveys on discrete and computational geometry},
SERIES = {Contemp. Math.},
VOLUME = {453},
PAGES = {257--282},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {55N35 (55T05 57M99)},
MRNUMBER = {MR2405684},
}
@book {MR2572029,
AUTHOR = {Edelsbrunner, Herbert and Harer, John L.},
TITLE = {Computational topology},
NOTE = {An introduction},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2010},
PAGES = {xii+241},
ISBN = {978-0-8218-4925-5},
MRCLASS = {00-02 (05C10 52-02 55-02 57-02 65D18 68U05)},
MRNUMBER = {2572029 (2011e:00001)},
MRREVIEWER = {Andrzej Kozlowski},
}
@incollection {edelcsh,
AUTHOR = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John},
TITLE = {Extending persistent homology using Poincare and Lefschetz duality},
}
@article{edelsbrunner_alexander_2011,
title = {Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore},
shorttitle = {Alexander Duality for Functions},
url = {http://arxiv.org/abs/1109.5052},
abstract = {This note contributes to the point calculus of persistent homology by extending Alexander duality to real-valued functions. Given a perfect Morse function \$f: S{\textasciicircum}{n+1} {\textbackslash}to [0,1]\$ and a decomposition {\$S{\textasciicircum}{n+1}} = U {\textbackslash}cup V\$ such that {\$M} = {{\textbackslash}U} {\textbackslash}cap V\$ is an \$n\$-manifold, we prove elementary relationships between the persistence diagrams of \$f\$ restricted to {\$U\$}, to {\$V\$}, and to {\$M\$.}},
journal = {{arXiv:1109.5052}},
author = {Edelsbrunner, Herbert and Kerber, Michael},
month = sep,
year = {2011},
keywords = {Computer Science - Computational Geometry, Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@book {MR0428322,
AUTHOR = {Edwards, David A. and Hastings, Harold M.},
TITLE = {\v {C}ech and {S}teenrod homotopy theories with applications
to geometric topology},
SERIES = {Lecture Notes in Mathematics, Vol. 542},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1976},
PAGES = {vii+296},
MRCLASS = {55D99 (55B05)},
MRNUMBER = {0428322 (55 \#1347)},
MRREVIEWER = {Claude Schochet},
}
@article {MR590209,
AUTHOR = {Edwards, David A. and Hastings, Harold M.},
TITLE = {\v {C}ech theory: its past, present, and future},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {10},
YEAR = {1980},
NUMBER = {3},
PAGES = {429--468},
ISSN = {0035-7596},
CODEN = {RMJMAE},
MRCLASS = {55P55 (14A15 14F35 57N25 58G12)},
MRNUMBER = {590209 (82b:55010)},
MRREVIEWER = {Ross Geoghegan},
DOI = {10.1216/RMJ-1980-10-3-429},
URL = {http://dx.doi.org/10.1216/RMJ-1980-10-3-429},
}
@article {MR0164355,
AUTHOR = {Edwards, H. M.},
TITLE = {A generalized {S}turm theorem},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {80},
YEAR = {1964},
PAGES = {22--57},
ISSN = {0003-486X},
MRCLASS = {57.50 (57.48)},
MRNUMBER = {MR0164355 (29 \#1652)},
MRREVIEWER = {J. Eells},
}
@article {MR0283802,
AUTHOR = {Edwards, Robert D. and Kirby, Rob},
TITLE = {Deformations of spaces of imbeddings},
JOURNAL = {Ann. Math. (2)},
VOLUME = {93},
YEAR = {1971},
PAGES = {63--88},
MRCLASS = {57.01},
MRNUMBER = {MR0283802 (44 \#1032)},
MRREVIEWER = {K. Lamotke},
}
@inproceedings {MR562601,
AUTHOR = {Edwards, Robert D.},
TITLE = {The topology of manifolds and cell-like maps},
BOOKTITLE = {Proceedings of the International Congress of Mathematicians
(Helsinki, 1978)},
PAGES = {111--127},
PUBLISHER = {Acad. Sci. Fennica},
ADDRESS = {Helsinki},
YEAR = {1980},
MRCLASS = {57N15 (57N20)},
MRNUMBER = {MR562601 (81g:57010)},
MRREVIEWER = {R. J. Daverman},
}
@article {torus,
AUTHOR = {Edwards, Robert D.},
TITLE = {Torus philosophy},
}
@article {MR0156356,
AUTHOR = {Eells, James and Kuiper, H., Nicolaas},
TITLE = {An invariant for certain smooth manifolds},
JOURNAL = {Ann. Mat. Pura Appl. (4)},
FJOURNAL = {Annali di Matematica Pura ed Applicata. Serie Quarta},
VOLUME = {60},
YEAR = {1962},
PAGES = {93--110},
ISSN = {0003-4622},
MRCLASS = {57.32 (57.10)},
MRNUMBER = {0156356 (27 \#6280)},
MRREVIEWER = {R. H. Szczarba},
}
@article{effenberger_simpcomp_2010,
title = {simpcomp -- A {GAP} toolbox for simplicial complexes},
url = {http://arxiv.org/abs/1004.1367},
abstract = {simpcomp is an extension (a so called package) to {GAP,} the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct new complexes from existing ones and an extensive library of triangulations of manifolds.},
journal = {1004.1367},
author = {Felix Effenberger and Jonathan Spreer},
month = apr,
year = {2010},
keywords = {52-04, {57Q15,} Computer Science - Discrete Mathematics, Mathematics - Combinatorics, Mathematics - Geometric Topology},
}
@article {MR0013123,
AUTHOR = {Egan, M. F.},
TITLE = {Symmetric matrices and quadratic forms},
JOURNAL = {Math. Gaz.},
FJOURNAL = {The Mathematical Gazette},
VOLUME = {29},
YEAR = {1945},
PAGES = {89--91},
ISSN = {0025-5572},
MRCLASS = {09.0X},
MRNUMBER = {MR0013123 (7,108e)},
MRREVIEWER = {C. C. MacDuffee},
}
@article {MR1762759,
AUTHOR = {Eggar, M. H.},
TITLE = {On {W}hite's formula},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {9},
YEAR = {2000},
NUMBER = {5},
PAGES = {611--615},
ISSN = {0218-2165},
MRCLASS = {57M25 (53A04 57M27)},
MRNUMBER = {MR1762759 (2001g:57010)},
MRREVIEWER = {Swatee Naik},
}
@article {MR0001351,
AUTHOR = {Eilenberg, Samuel},
TITLE = {Cohomology and continuous mappings},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {41},
YEAR = {1940},
PAGES = {231--251},
MRCLASS = {56.0X},
MRNUMBER = {MR0001351 (1,222b)},
MRREVIEWER = {W. Hurewicz},
}
@article {MR0021939,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Algebraic cohomology groups and loops},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {14},
YEAR = {1947},
PAGES = {435--463},
ISSN = {0012-7094},
MRCLASS = {20.0X},
MRNUMBER = {MR0021939 (9,132c)},
MRREVIEWER = {P. A. Smith},
}
@article {MR0035434,
AUTHOR = {Eilenberg, Samuel and Zilber, J. A.},
TITLE = {Semi-simplicial complexes and singular homology},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {51},
YEAR = {1950},
PAGES = {499--513},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {0035434 (11,734e)},
MRREVIEWER = {H. Cartan},
}
@book {MR0050886,
AUTHOR = {Eilenberg, Samuel and Steenrod, N. E.},
TITLE = {Foundations of algebraic topology},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, New Jersey},
YEAR = {1952},
PAGES = {xv+328},
MRCLASS = {56.0X},
MRNUMBER = {MR0050886 (14,398b)},
MRREVIEWER = {H. Cartan},
}
@article {MR0052767,
AUTHOR = {Eilenberg, Samuel and Zilber, J. A.},
TITLE = {On products of complexes},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {75},
YEAR = {1953},
PAGES = {200--204},
ISSN = {0002-9327},
MRCLASS = {56.0X},
MRNUMBER = {MR0052767 (14,670c)},
MRREVIEWER = {H. Cartan},
}
@article {MR0203730,
AUTHOR = {Eilenberg, Samuel and Moore, John C.},
TITLE = {Homology and fibrations. {I}. {C}oalgebras, cotensor product
and its derived functors},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {40},
YEAR = {1966},
PAGES = {199--236},
ISSN = {0010-2571},
MRCLASS = {55.50},
MRNUMBER = {MR0203730 (34 \#3579)},
MRREVIEWER = {A. Heller},
}
@book {MR1731415,
AUTHOR = {Cartan, Henri and Eilenberg, Samuel},
TITLE = {Homological algebra},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {With an appendix by David A. Buchsbaum,
Reprint of the 1956 original},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1999},
PAGES = {xvi+390},
ISBN = {0-691-04991-2},
MRCLASS = {18Gxx (01A75)},
MRNUMBER = {MR1731415 (2000h:18022)},
}
@book {MR1730819,
AUTHOR = {Eisenbud, David and Harris, Joe},
TITLE = {The geometry of schemes},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {197},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2000},
PAGES = {x+294},
ISBN = {0-387-98638-3; 0-387-98637-5},
MRCLASS = {14A15 (14-01 14C05 14H50 14N05)},
MRNUMBER = {1730819 (2001d:14002)},
MRREVIEWER = {Allen B. Altman},
}
@article {MR1808593,
AUTHOR = {Eisenbud, David and Popescu, Sorin and Walter, Charles},
TITLE = {Enriques surfaces and other non-{P}faffian subcanonical
subschemes of codimension 3},
NOTE = {Special issue in honor of Robin Hartshorne},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {28},
YEAR = {2000},
NUMBER = {12},
PAGES = {5629--5653},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {14J28 (13C40 13D02 14M12)},
MRNUMBER = {MR1808593 (2002b:14046)},
MRREVIEWER = {I. Dolgachev},
DOI = {10.1080/00927870008827179},
URL = {http://dx.doi.org/10.1080/00927870008827179},
}
@book {MR817982,
AUTHOR = {Eisenbud, David and Neumann, W. D.},
TITLE = {Three-dimensional link theory and invariants of plane curve
singularities},
SERIES = {Annals of Mathematics Studies},
VOLUME = {110},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1985},
PAGES = {vii+173},
ISBN = {0-691-08380-0; 0-691-08381-9},
MRCLASS = {57M25 (14H20 57S15)},
MRNUMBER = {MR817982 (87g:57007)},
MRREVIEWER = {Christopher W. Stark},
}
@article{eisenbud_lagrangian_1999,
title = {Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme},
url = {http://arxiv.org/abs/math/9906170},
abstract = {We show that a Gorenstein subcanonical codimension 3 subscheme Z in X = {P{\textasciicircum}N,} N {\textgreater} 3, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundle meet degenerately, and conversely. We extend this result to singular Z and all quasiprojective ambient schemes X under the necessary hypothesis that {\$Z\$} is strongly subcanonical in a sense defined below. A central point is that a pair of Lagrangian subbundles can be transformed locally into an alternating map. In the local case our structure theorem reduces to that of {Buchsbaum-Eisenbud} and says that Z is Pfaffian. We also prove codimension one symmetric and skew-symmetric analogues of our structure theorems.},
journal = {math/9906170},
author = {David Eisenbud and Sorin Popescu and Charles Walter},
month = jun,
year = {1999},
keywords = {{14M07,} {13D02,} {14M12,} {14F05,} Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra},
}
@article {MR1670434,
AUTHOR = {Elhamdadi, Mohamed},
TITLE = {A note on {$\lambda$}-operations in orthogonal {$K$}-theory},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {128},
YEAR = {2000},
NUMBER = {1},
PAGES = {1--4},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19D06 (55Q35)},
MRNUMBER = {MR1670434 (2000c:19004)},
MRREVIEWER = {M. E. Keating},
}
@article{elh,
AUTHOR = {Elhamdadi, Mohamed},
TITLE = {Lambda operations in L-theory (thesis)},
}
@article {MR1923994,
AUTHOR = {Endo, H. and Korkmaz, M. and Kotschick, D. and Ozbagci, B. and
Stipsicz, A.},
TITLE = {Commutators, {L}efschetz fibrations and the signatures of
surface bundles},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {961--977},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R22 (57R20 57R25 57R55)},
MRNUMBER = {MR1923994 (2003f:57051)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1016/S0040-9383(01)00011-8},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00011-8},
}
@article {MR1659565,
AUTHOR = {Endo, Hisaaki},
TITLE = {A construction of surface bundles over surfaces with non-zero
signature},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {35},
YEAR = {1998},
NUMBER = {4},
PAGES = {915--930},
ISSN = {0030-6126},
CODEN = {OJMAA7},
MRCLASS = {55R10 (57R22)},
MRNUMBER = {MR1659565 (99m:55017)},
MRREVIEWER = {Alexey N. Rudakov},
}
@article {MR1741270,
AUTHOR = {Endo, Hisaaki},
TITLE = {Meyer's signature cocycle and hyperelliptic fibrations},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {316},
YEAR = {2000},
NUMBER = {2},
PAGES = {237--257},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N13 (14J80 57N05 57R65)},
MRNUMBER = {1741270 (2001b:57047)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1007/s002080050012},
URL = {http://dx.doi.org/10.1007/s002080050012},
}
@article {MR2135741,
AUTHOR = {Endo, Hisaaki and Nagami, Seiji},
TITLE = {Signature of relations in mapping class groups and
non-holomorphic {L}efschetz fibrations},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {357},
YEAR = {2005},
NUMBER = {8},
PAGES = {3179--3199},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R20 (20F05 57N13)},
MRNUMBER = {2135741 (2006g:57051)},
MRREVIEWER = {Dave Auckly},
DOI = {10.1090/S0002-9947-04-03643-8},
URL = {http://dx.doi.org/10.1090/S0002-9947-04-03643-8},
}
@incollection {MR520522,
AUTHOR = {Stallings, John},
TITLE = {Constructions of fibred knots and links},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {55--60},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57M25},
MRNUMBER = {520522 (80e:57004)},
MRREVIEWER = {Kenneth A. Perko, Jr.},
}
@book {MR0482697,
AUTHOR = {Engelking, Ryszard},
TITLE = {Dimension theory},
NOTE = {Translated from the Polish and revised by the author,
North-Holland Mathematical Library, 19},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1978},
PAGES = {x+314 pp. (loose errata)},
ISBN = {0-444-85176-3},
MRCLASS = {54FXX},
MRNUMBER = {MR0482697 (58 \#2753b)},
MRREVIEWER = {Teodor Przymusinski},
}
@article {Eppelmann,
AUTHOR = {Eppelmann, Thorsten},
TITLE = {Thesis (2007)},
}
@article {MR1364081,
AUTHOR = {Epple, Moritz},
TITLE = {Branch points of algebraic functions and the beginnings of
modern knot theory},
JOURNAL = {Historia Math.},
FJOURNAL = {Historia Mathematica},
VOLUME = {22},
YEAR = {1995},
NUMBER = {4},
PAGES = {371--401},
ISSN = {0315-0860},
CODEN = {HIMADS},
MRCLASS = {01A60 (01A55 30-03 57-03 57M25)},
MRNUMBER = {MR1364081 (96k:01016)},
MRREVIEWER = {Vagn Lundsgaard Hansen},
DOI = {10.1006/hmat.1995.1031},
URL = {http://dx.doi.org/10.1006/hmat.1995.1031},
}
@article {MR1601835,
AUTHOR = {Epple, Moritz},
TITLE = {Orbits of asteroids, a braid, and the first link invariant},
JOURNAL = {Math. Intelligencer},
FJOURNAL = {The Mathematical Intelligencer},
VOLUME = {20},
YEAR = {1998},
NUMBER = {1},
PAGES = {45--52},
ISSN = {0343-6993},
CODEN = {MAINDC},
MRCLASS = {01A55 (57M25)},
MRNUMBER = {1601835 (99c:01013)},
MRREVIEWER = {Du{\v{s}}an Repov{\v{s}}},
DOI = {10.1007/BF03024400},
URL = {http://dx.doi.org/10.1007/BF03024400},
}
@article {MR1611730,
AUTHOR = {Epple, Moritz},
TITLE = {Topology, matter, and space. {I}. {T}opological notions in
19th-century natural philosophy},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {52},
YEAR = {1998},
NUMBER = {4},
PAGES = {297--392},
ISSN = {0003-9519},
CODEN = {AHESAN},
MRCLASS = {01A55 (00A79 54-03 57-03 58-03)},
MRNUMBER = {MR1611730 (99c:01012)},
MRREVIEWER = {Jeremy Gray},
DOI = {10.1007/s004070050019},
URL = {http://dx.doi.org/10.1007/s004070050019},
}
@incollection {MR1674917,
AUTHOR = {Epple, Moritz},
TITLE = {Geometric aspects in the development of knot theory},
BOOKTITLE = {History of topology},
PAGES = {301--357},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {57-03 (57M25 57M27)},
MRNUMBER = {MR1674917 (2000i:57001)},
MRREVIEWER = {Colin C. Adams},
}
@book {MR1716305,
AUTHOR = {Epple, Moritz},
TITLE = {Die {E}ntstehung der {K}notentheorie},
NOTE = {Kontexte und Konstruktionen einer modernen mathematischen
Theorie. [Contexts and constructions of a modern mathematical
theory]},
PUBLISHER = {Friedr. Vieweg \& Sohn},
ADDRESS = {Braunschweig},
YEAR = {1999},
PAGES = {xvi+449},
ISBN = {3-528-06787-X},
MRCLASS = {01-02 (01A50 01A55 01A60 57-03 57M25)},
MRNUMBER = {1716305 (2000i:01001)},
MRREVIEWER = {G. Burde},
}
@inproceedings {MR1957592,
AUTHOR = {Epple, Moritz},
TITLE = {From quaternions to cosmology: spaces of constant curvature,
ca. 1873--1925},
BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
{M}athematicians, {V}ol. {III} ({B}eijing, 2002)},
PAGES = {935--945},
PUBLISHER = {Higher Ed. Press},
ADDRESS = {Beijing},
YEAR = {2002},
MRCLASS = {01A55 (01A60 53-03 57-03)},
MRNUMBER = {MR1957592 (2004a:01018)},
}
@article {MR2089303,
AUTHOR = {Epple, Moritz},
TITLE = {Knot invariants in {V}ienna and {P}rinceton during the 1920s:
epistemic configurations of mathematical research},
JOURNAL = {Sci. Context},
FJOURNAL = {Science in Context},
VOLUME = {17},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {131--164},
ISSN = {0269-8897},
MRCLASS = {01A70 (57-03 57M27)},
MRNUMBER = {MR2089303 (2005e:01020)},
}
@article {MR2728041,
AUTHOR = {Erickson, Jeff and Worah, Pratik},
TITLE = {Computing the shortest essential cycle},
JOURNAL = {Discrete Comput. Geom.},
}
@article {MR0238300,
AUTHOR = {Erle, Dieter},
TITLE = {Quadratische {F}ormen als {I}nvarianten von {E}inbettungen der
{K}odimension {$2$}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {99--114},
ISSN = {0040-9383},
MRCLASS = {55.20},
MRNUMBER = {0238300 (38 \#6576)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0248856,
AUTHOR = {Erle, Dieter},
TITLE = {Die quadratische {F}orm eines {K}notens und ein {S}atz \"uber
{K}notenmannigfaltigkeiten},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {236},
YEAR = {1969},
PAGES = {174--218},
ISSN = {0075-4102},
MRCLASS = {57.10 (55.00)},
MRNUMBER = {MR0248856 (40 \#2106)},
MRREVIEWER = {P. Orlik},
}
@article {MR1895370,
AUTHOR = {Diao, Y. and Ernst, C. and Janse Van Rensburg, E. J.},
TITLE = {Upper bounds on linking numbers of thick links},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {11},
YEAR = {2002},
NUMBER = {2},
PAGES = {199--210},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {1895370 (2003a:57009)},
MRREVIEWER = {Nikolai N. Saveliev},
DOI = {10.1142/S0218216502001573},
URL = {http://dx.doi.org/10.1142/S0218216502001573},
}
@article{van_erp_noncommutative_2010,
title = {Noncommutative topology and the world's simplest index theorem},
url = {http://arxiv.org/abs/1001.5299},
abstract = {This is an expository article. It discusses an approach to hypoelliptic Fredholm index theory based on noncommutative methods (groupoids, C*-algebras, K-theory). The paper starts with an explicit index theorem for scalar second order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how this theorem is a special case of a much more general index theorem for subelliptic operators on contact manifolds. Finally we discuss the noncommutative topology that is employed in the proof of this theorem. We present these results as an instance in which noncommutative topology is fruitful in proving a very explicit (analytic/geometric) classical result.},
journal = {1001.5299},
author = {Erik van Erp},
year = {2010},
keywords = {{19K56,} {53D10,} {58J20,} Mathematics - Differential Geometry, Mathematics - Functional Analysis},
}
@article {euler1,
AUTHOR = {Euler, L.},
TITLE = {De formatione fractionum continuarum},
JOURNAL = {Act. Acad. Sci. Imp. Petr.},
VOLUME = {3},
YEAR = {1775},
PAGES = {3-29},
}
@article {MR0179795,
AUTHOR = {Fadell, Edward},
TITLE = {Generalized normal bundles for locally-flat imbeddings},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {114},
YEAR = {1965},
PAGES = {488--513},
ISSN = {0002-9947},
MRCLASS = {55.70},
MRNUMBER = {0179795 (31 \#4037)},
MRREVIEWER = {A. Dold},
}
@article {MR2097126,
AUTHOR = {Falbel, Elisha and Marco, Jean-Pierre and Schaffhauser,
Florent},
TITLE = {Classifying triples of {L}agrangians in a {H}ermitian vector
space},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {144},
YEAR = {2004},
NUMBER = {1-3},
PAGES = {1--27},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {53D12 (22F05 37J05 57S25)},
MRNUMBER = {MR2097126 (2005h:53136)},
MRREVIEWER = {Kenro Furutani},
DOI = {10.1016/j.topol.2003.08.027},
URL = {http://dx.doi.org/10.1016/j.topol.2003.08.027},
}
@article {MR1426683,
AUTHOR = {Fantham, Peter and James, I. M. and Mather, Michael},
TITLE = {On the reduced product construction},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {39},
YEAR = {1996},
NUMBER = {4},
PAGES = {385--389},
ISSN = {0008-4395},
CODEN = {CMBUA3},
MRCLASS = {55P15 (55P35 55P91)},
MRNUMBER = {MR1426683 (97m:55010)},
}
@book {MR1233388,
AUTHOR = {Farb, Benson and Dennis, R. Keith},
TITLE = {Noncommutative algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {144},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {xiv+223},
ISBN = {0-387-94057-X},
MRCLASS = {16-01},
MRNUMBER = {1233388 (94j:16001)},
MRREVIEWER = {G. Krause},
}
@paper{mapping,
AUTHOR = {Farb, Benson and Margalit, Dan},
TITLE = {A primer on mapping class groups},
YEAR = {2010},
}
@article {MR1079054,
AUTHOR = {Farber, Michael},
TITLE = {Stable-homotopy and homology invariants of boundary links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {334},
YEAR = {1992},
NUMBER = {1},
PAGES = {455--477},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (55P42)},
MRNUMBER = {MR1079054 (93a:57023)},
MRREVIEWER = {C. Kearton},
}
@article {MR1107839,
AUTHOR = {Farber, Michael},
TITLE = {Hermitian forms on link modules},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {66},
YEAR = {1991},
NUMBER = {2},
PAGES = {189--236},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45 (20C07)},
MRNUMBER = {MR1107839 (92j:57014)},
MRREVIEWER = {J. P. Levine},
}
@article {MR1151322,
AUTHOR = {Farber, Michael and Vogel, Pierre},
TITLE = {The {C}ohn localization of the free group ring},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {111},
YEAR = {1992},
NUMBER = {3},
PAGES = {433--443},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {16S34 (16U99)},
MRNUMBER = {MR1151322 (93b:16049)},
MRREVIEWER = {Wolfgang Gr{\"o}lz},
}
@article {MR1170526,
AUTHOR = {Farber, Michael},
TITLE = {Noncommutative rational functions and boundary links},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {293},
YEAR = {1992},
NUMBER = {3},
PAGES = {543--568},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {68Q70 (57M25 57Q45)},
MRNUMBER = {MR1170526 (94m:68137)},
MRREVIEWER = {Sen Lin Xu},
}
@incollection {MR1177413,
AUTHOR = {Farber, Michael},
TITLE = {Hermitian forms on periodic modules and even-dimensional
links},
BOOKTITLE = {Knots 90 (Osaka, 1990)},
PAGES = {67--91},
PUBLISHER = {de Gruyter},
ADDRESS = {Berlin},
YEAR = {1992},
MRCLASS = {57Q45},
MRNUMBER = {MR1177413 (93k:57054)},
MRREVIEWER = {C. Kearton},
}
@article {MR1227006,
AUTHOR = {Farber, Michael and Hillman, J. A.},
TITLE = {Doubly null concordant knots have hyperbolic stable isometry
structures},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {2},
YEAR = {1993},
NUMBER = {2},
PAGES = {125--140},
ISSN = {0218-2165},
MRCLASS = {57Q45},
MRNUMBER = {1227006 (94i:57038)},
MRREVIEWER = {C. Kearton},
}
@incollection {MR1282751,
AUTHOR = {Farber, Michael and Levine, J.},
TITLE = {A topological interpretation of the {A}tiyah-{P}atodi-{S}inger
invariant},
BOOKTITLE = {Geometric topology ({H}aifa, 1992)},
SERIES = {Contemp. Math.},
VOLUME = {164},
PAGES = {9--16},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {58G10 (57R57)},
MRNUMBER = {MR1282751 (95h:58124)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR1417429,
AUTHOR = {Farber, Michael and Levine, J.},
TITLE = {Jumps of the eta-invariant},
NOTE = {With an appendix by Shmuel Weinberger: Rationality of
$\rho$-invariants},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {223},
YEAR = {1996},
NUMBER = {2},
PAGES = {197--246},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {58G10 (57R57)},
MRNUMBER = {MR1417429 (98m:58131)},
MRREVIEWER = {Author's review (M.S.F.)},
}
@book {MR1705570,
TITLE = {Tel {A}viv {T}opology {C}onference: {R}othenberg
{F}estschrift},
SERIES = {Contemporary Mathematics},
VOLUME = {231},
AUTHOR = {Farber, Michael and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
NOTE = {Lectures from the International Conference held in Tel Aviv,
June 1--5, 1998},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {x+320},
ISBN = {0-8218-1362-5},
MRCLASS = {57-06 (00B30 55-06)},
MRNUMBER = {1705570 (2000c:57001)},
}
@article {MR1748274,
AUTHOR = {Farber, Michael and Turaev, V. G.},
TITLE = {Poincar\'e-{R}eidemeister metric, {E}uler structures, and
torsion},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {520},
YEAR = {2000},
PAGES = {195--225},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {58J52 (57R20)},
MRNUMBER = {MR1748274 (2001m:58069)},
MRREVIEWER = {Yi-Jen Lee},
DOI = {10.1515/crll.2000.021},
URL = {http://dx.doi.org/10.1515/crll.2000.021},
}
@article {MR1765885,
AUTHOR = {Farber, Michael},
TITLE = {Absolute torsion and eta-invariant},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {234},
YEAR = {2000},
NUMBER = {2},
PAGES = {339--349},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {58J28 (57Q10)},
MRNUMBER = {MR1765885 (2002a:58021)},
MRREVIEWER = {Yi-Jen Lee},
DOI = {10.1007/s002099900110},
URL = {http://dx.doi.org/10.1007/s002099900110},
}
@book {MR2034601,
AUTHOR = {Farber, Michael},
TITLE = {Topology of closed one-forms},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {108},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2004},
PAGES = {xii+246},
ISBN = {0-8218-3531-9},
MRCLASS = {58E05 (57R20 57R70 58A10)},
MRNUMBER = {MR2034601 (2005c:58023)},
MRREVIEWER = {Janko Latschev},
}
@article{MR576871,
AUTHOR = {Farber, Michael},
TITLE = {Isotopy types of knots of codimension two},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {261},
YEAR = {1980},
NUMBER = {1},
PAGES = {185--209},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (55P25)},
MRNUMBER = {MR576871 (81k:57016)},
MRREVIEWER = {C. Kearton},
LOCALPDF = "../../papers/farber6.pdf",
}
@article {MR580626,
AUTHOR = {Farber, Michael},
TITLE = {Classification of certain multidimensional knots of
codimension two},
NOTE = {International Topology Conference (Moscow State Univ., Moscow,
1979)},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {35},
YEAR = {1980},
NUMBER = {3(213)},
PAGES = {105--111},
ISSN = {0042-1316},
MRCLASS = {57Q45 (55P25)},
MRNUMBER = {MR580626 (81k:57017)},
MRREVIEWER = {A. Chernavski{\u\i}},
}
@article {MR718824,
AUTHOR = {Farber, Michael},
TITLE = {Classification of simple knots},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {38},
YEAR = {1983},
NUMBER = {5(233)},
PAGES = {59--106},
ISSN = {0042-1316},
MRCLASS = {57Q45},
MRNUMBER = {MR718824 (85g:57012)},
MRREVIEWER = {Jonathan A. Hillman},
}
@incollection {MR770234,
AUTHOR = {Farber, Michael},
TITLE = {Knots and stable homotopy},
BOOKTITLE = {Topology (Leningrad, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1060},
PAGES = {140--150},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57Q45},
MRNUMBER = {MR770234 (86g:57014)},
MRREVIEWER = {J. P. Levine},
}
@article {MR783706,
AUTHOR = {Farber, Michael},
TITLE = {Sharpness of the {N}ovikov inequalities},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego
Prilozheniya},
VOLUME = {19},
YEAR = {1985},
NUMBER = {1},
PAGES = {49--59, 96},
ISSN = {0374-1990},
MRCLASS = {58E05 (57R45)},
MRNUMBER = {MR783706 (86g:58029)},
MRREVIEWER = {Donald W. Kahn},
}
@article{math.DG/9812122,
title = {{The Morse-Novikov theory of circle-valued functions and
noncommutative localization}},
author = {Michael Farber and Andrew Ranicki},
}
@article {MR2028495,
AUTHOR = {Dror Farjoun, Emmanuel},
TITLE = {Fundamental group of homotopy colimits},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {182},
YEAR = {2004},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {55P05 (18G99 20E08 55Q05)},
MRNUMBER = {MR2028495 (2004i:55010)},
MRREVIEWER = {Donald M. Davis},
}
@book {MR1361882,
AUTHOR = {Farmer, David W. and Stanford, Theodore},
TITLE = {Knots and surfaces},
SERIES = {Mathematical World},
VOLUME = {6},
NOTE = {A guide to discovering mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1996},
PAGES = {viii+101},
ISBN = {0-8218-0451-0},
MRCLASS = {57M25 (00A08 05C10 57M15)},
MRNUMBER = {MR1361882 (96m:57013)},
MRREVIEWER = {Colin C. Adams},
URL = {http://links.jstor.org/sici?sici=0002-9890(199711)104:9<882:KASAGT>2.0.CO;2-B&origin=MSN},
}
@letter{Farrell1,
AUTHOR = {Farrell, F. T.},
TITLE = {Michigan lecture course, 1978},
}
@letter{Farrell2,
AUTHOR = {Farrell, F. T.},
TITLE = {Letter to David Fried, 1978},
}
@letter{Farrell3,
AUTHOR = {Farrell, F. T.},
TITLE = {Letters on surgery exact sequence, 1978},
}
@letter{Farrell4,
AUTHOR = {Farrell, F. T.},
TITLE = {Letters on LNil/UNil, 1978-9},
}
@article {MR0215311,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {{$H$}-cobordant manifolds are not necessarily homeomorphic},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {73},
YEAR = {1967},
PAGES = {741--744},
MRCLASS = {57.10},
MRNUMBER = {MR0215311 (35 \#6152)},
MRREVIEWER = {A. Liulevicius},
}
@article {MR0224675,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {A geometric interpretation of the {K}\"unneth formula for
algebraic {$K$}-theory},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {74},
YEAR = {1968},
PAGES = {548--553},
MRCLASS = {18.20 (55.00)},
MRNUMBER = {MR0224675 (37 \#274)},
MRREVIEWER = {S. Y. Husseini},
}
@article {MR0290397,
AUTHOR = {Farrell, F. T.},
TITLE = {The obstruction to fibering a manifold over a circle},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {21},
YEAR = {1971/1972},
PAGES = {315--346},
ISSN = {0022-2518},
MRCLASS = {57.30},
MRNUMBER = {MR0290397 (44 \#7578)},
MRREVIEWER = {J. Milnor},
}
@article {MR0319185,
AUTHOR = {Farrell, F. T. and Wagoner, J. B.},
TITLE = {Infinite matrices in algebraic $K$-theory and topology},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {474--501},
ISSN = {0010-2571},
MRCLASS = {57C10},
MRNUMBER = {MR0319186 (47 \#7731a)},
MRREVIEWER = {J. P. May},
}
@article {MR0319186,
AUTHOR = {Farrell, F. T. and Wagoner, J. B.},
TITLE = {Algebraic torsion for infinite simple homotopy types},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {502--513},
ISSN = {0010-2571},
MRCLASS = {57C10},
MRNUMBER = {MR0319186 (47 \#7731b)},
MRREVIEWER = {J. P. May},
}
@article {MR0385867,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {Manifolds with {$\pi \sb{i}=G\times \alpha T$}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {95},
YEAR = {1973},
PAGES = {813--848},
ISSN = {0002-9327},
MRCLASS = {57C10 (57D65)},
MRNUMBER = {MR0385867 (52 \#6726)},
MRREVIEWER = {Sylvain Cappell},
}
@article {MR0450328,
AUTHOR = {Farrell, F. T.},
TITLE = {The nonfiniteness of {N}il},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {65},
YEAR = {1977},
NUMBER = {2},
PAGES = {215--216},
ISSN = {0002-9939},
MRCLASS = {16A54},
MRNUMBER = {MR0450328 (56 \#8624)},
MRREVIEWER = {M. E. Keating},
}
@book {MR1056079,
AUTHOR = {Farrell, F. T. and Jones, Lowell},
TITLE = {Classical aspherical manifolds},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {75},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1990},
PAGES = {viii+54},
ISBN = {0-8218-0726-9},
MRCLASS = {57-02 (19D10 19G24 22E40 57N15 57R55 58F17)},
MRNUMBER = {MR1056079 (91k:57001)},
MRREVIEWER = {Christopher W. Stark},
}
@book {MR1452860,
AUTHOR = {Farrell, F. T.},
TITLE = {Lectures on surgical methods in rigidity},
PUBLISHER = {Published for the Tata Institute of Fundamental Research,
Bombay},
YEAR = {1996},
PAGES = {iv+98},
ISBN = {3-540-58977-5},
MRCLASS = {57R65 (57N70 57R67)},
MRNUMBER = {MR1452860 (98j:57050)},
MRREVIEWER = {Ian Hambleton},
}
@incollection {MR1937017,
AUTHOR = {Farrell, F. T.},
TITLE = {The {B}orel conjecture},
BOOKTITLE = {Topology of high-dimensional manifolds, No. 1, 2 (Trieste,
2001)},
SERIES = {ICTP Lect. Notes},
VOLUME = {9},
PAGES = {225--298},
PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys., Trieste},
YEAR = {2002},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR1937017 (2004a:57040)},
}
@article {MR2030590,
AUTHOR = {Bartels, Arthur and Farrell, F. T. and Jones, Lowell and Reich,
Holger},
TITLE = {On the isomorphism conjecture in algebraic {$K$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {1},
PAGES = {157--213},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D50 (19A31 19B28)},
MRNUMBER = {MR2030590 (2004m:19004)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@incollection {MR2464395,
AUTHOR = {Farrell, F. T.},
TITLE = {Topological rigidity and geometric applications},
BOOKTITLE = {Geometry, analysis and topology of discrete groups},
SERIES = {Adv. Lect. Math. (ALM)},
VOLUME = {6},
PAGES = {163--195},
PUBLISHER = {Int. Press, Somerville, MA},
YEAR = {2008},
MRCLASS = {57Rxx (53C24)},
MRNUMBER = {MR2464395},
}
@article {MR551012,
AUTHOR = {Farrell, F. T.},
TITLE = {The exponent of {${\rm UNil}$}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {18},
YEAR = {1979},
NUMBER = {4},
PAGES = {305--312},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R67},
MRNUMBER = {MR551012 (80j:57032)},
MRREVIEWER = {Gerald A. Anderson},
}
@article {MR704219,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {Topological characterization of flat and almost flat
{R}iemannian manifolds {$M\sp{n}$} {$(n\not=3,\,4)$}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {105},
YEAR = {1983},
NUMBER = {3},
PAGES = {641--672},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57R67 (53C20)},
MRNUMBER = {MR704219 (84k:57017)},
MRREVIEWER = {Frank Quinn},
}
@article {falust1,
AUTHOR = {Farrell, F. T. and L{\"u}ck, Wolfgang and Steimle, W.},
TITLE = {Obstructions to fibering a manifold},
YEAR = {2009},
JOURNAL = {http://arxiv.org/abs/0901.1250},
}
@article {farrellthesis,
AUTHOR = {Farrell, F. T.},
TITLE = {The obstruction to fibering a manifold over a circle (Yale thesis)},
YEAR = {1967},
}
@article {MR1988072,
AUTHOR = {Fausk, H. and Hu, P. and May, J. Peter},
TITLE = {Isomorphisms between left and right adjoints},
JOURNAL = {Theory Appl. Categ.},
FJOURNAL = {Theory and Applications of Categories},
VOLUME = {11},
YEAR = {2003},
PAGES = {No. 4, 107--131 (electronic)},
ISSN = {1201-561X},
MRCLASS = {18D10 (14A10 55U35)},
MRNUMBER = {MR1988072 (2004d:18006)},
MRREVIEWER = {Gabriele Vezzosi},
}
@book {MR787801,
AUTHOR = {Fenn, Roger A.},
TITLE = {Techniques of geometric topology},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {57},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1983},
PAGES = {viii+280},
ISBN = {0-521-28472-4},
MRCLASS = {57-02 (20F05 20F32 57Nxx)},
MRNUMBER = {MR787801 (87a:57002)},
MRREVIEWER = {Ross Geoghegan},
}
@article {MR2271451,
AUTHOR = {Cabrerizo, J. L. and Fern{\'a}ndez, M.},
TITLE = {Clairaut relation for geodesics of {H}opf tubes},
JOURNAL = {Acta Math. Hungar.},
FJOURNAL = {Acta Mathematica Hungarica},
VOLUME = {113},
YEAR = {2006},
NUMBER = {1-2},
PAGES = {51--62},
ISSN = {0236-5294},
MRCLASS = {53C22}fer,
MRNUMBER = {2271451 (2007k:53046)},
MRREVIEWER = {Angel Ferr{\'a}ndez},
DOI = {10.1007/s10474-006-0089-6},
URL = {http://dx.doi.org/10.1007/s10474-006-0089-6},
}
@book {MR2663748,
AUTHOR = {Ferrario, Davide L. and Piccinini, Renzo A.},
TITLE = {Simplicial structures in topology},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la
SMC},
NOTE = {Translated from the 2009 Italian original by Maria Nair
Piccinini},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2011},
PAGES = {xvi+243},
ISBN = {978-1-4419-7235-4},
MRCLASS = {55-02},
MRNUMBER = {2663748},
DOI = {10.1007/978-1-4419-7236-1},
URL = {http://dx.doi.org/10.1007/978-1-4419-7236-1},
}
@article {DESING,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Desingularizing homology manifolds},
JOURNAL = {preprint},
YEAR = {2005},
}
@article {FINITE2,
AUTHOR = {Dranishnikov, A. and Ferry, S. and Weinberger, Shmuel},
TITLE = {Abstract Integral Novikov conjecture for asymptotically finite-dimensional groups},
JOURNAL = {preprint},
YEAR = {2005},
}
@article {MR0461505,
AUTHOR = {Ferry, S.},
TITLE = {Approximate fibrations with nonfinite fibers},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {64},
YEAR = {1977},
NUMBER = {2},
PAGES = {335--345},
ISSN = {0002-9939},
MRCLASS = {55F65},
MRNUMBER = {MR0461505 (57 \#1490)},
MRREVIEWER = {Paul F. Duvall},
}
@article {MR0461536,
AUTHOR = {Ferry, S.},
TITLE = {The homeomorphism group of a compact {H}ilbert cube manifold
is an {${\rm ANR}$}},
JOURNAL = {Ann. Math. (2)},
VOLUME = {106},
YEAR = {1977},
NUMBER = {1},
PAGES = {101--119},
MRCLASS = {57E05},
MRNUMBER = {MR0461536 (57 \#1521)},
MRREVIEWER = {M.-E. Hamstrom},
}
@incollection {MR1268187,
AUTHOR = {Ferry, S. and Hambleton, Ian and Pedersen, Erik K.},
TITLE = {A survey of bounded surgery theory and applications},
BOOKTITLE = {Algebraic topology and its applications},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {27},
PAGES = {57--80},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1994},
MRCLASS = {57R67 (55P99 57P99)},
MRNUMBER = {MR1268187},
}
@article {MR1277522,
AUTHOR = {Anderson, Douglas R. and Connolly, Frank and Ferry, S.
and Pedersen, Erik K.},
TITLE = {Algebraic {$K$}-theory with continuous control at infinity},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {94},
YEAR = {1994},
NUMBER = {1},
PAGES = {25--47},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19J99 (19D23 55N20)},
MRNUMBER = {MR1277522 (95b:19003)},
MRREVIEWER = {Charles Weibel},
}
@incollection {MR1388311,
AUTHOR = {Ferry, S. and Pedersen, Erik K.},
TITLE = {Epsilon surgery theory},
BOOKTITLE = {Novikov conjectures, index theorems and rigidity, Vol.\ 2
(Oberwolfach, 1993)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {227},
PAGES = {167--226},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1995},
MRCLASS = {57R67},
MRNUMBER = {MR1388311 (97g:57044)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR1394965,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Topology of homology manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {143},
YEAR = {1996},
NUMBER = {3},
PAGES = {435--467},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57P99},
MRNUMBER = {MR1394965 (97b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR2721620,
AUTHOR = {Ferry, S.},
TITLE = {Epsilon-delta surgery over {$\Bbb Z$}},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {148},
YEAR = {2010},
PAGES = {71--101},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57N65 (57R65 57R67)},
MRNUMBER = {2721620},
DOI = {10.1007/s10711-009-9405-y},
URL = {http://dx.doi.org/10.1007/s10711-009-9405-y},
}
@article {MR533191,
AUTHOR = {Ferry, S.},
TITLE = {Homotoping {$\varepsilon $}-maps to homeomorphisms},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {101},
YEAR = {1979},
NUMBER = {3},
PAGES = {567--582},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57N15},
MRNUMBER = {MR533191 (81f:57007a)},
MRREVIEWER = {Martin Scharlemann},
}
@article {MR533192,
AUTHOR = {Chapman, T. A. and Ferry, S.},
TITLE = {Approximating homotopy equivalences by homeomorphisms},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {101},
YEAR = {1979},
NUMBER = {3},
PAGES = {583--607},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57N15},
MRNUMBER = {MR533192 (81f:57007b)},
MRREVIEWER = {Martin Scharlemann},
}
@article {MR574526,
AUTHOR = {Ferry, S.},
TITLE = {Shape equivalence does not imply {CE} equivalence},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {80},
YEAR = {1980},
NUMBER = {1},
PAGES = {154--156},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55P55 (54C10 57Q10)},
MRNUMBER = {MR574526 (81d:55013)},
MRREVIEWER = {S. Zdravkovska},
}
@article {MR580894,
AUTHOR = {Ferry, S.},
TITLE = {A stable converse to the {V}ietoris-{S}male theorem with
applications to shape theory},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {261},
YEAR = {1980},
NUMBER = {2},
PAGES = {369--386},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55R65 (54C56 55P55 57N20 57Q05 57Q10)},
MRNUMBER = {MR580894 (82c:55018)},
MRREVIEWER = {Jerzy Dydak},
}
@incollection {MR643523,
AUTHOR = {Ferry, S.},
TITLE = {A simple-homotopy approach to the finiteness obstruction},
BOOKTITLE = {Shape theory and geometric topology ({D}ubrovnik, 1981)},
SERIES = {Lecture Notes in Math.},
VOLUME = {870},
PAGES = {73--81},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {57Q12},
MRNUMBER = {MR643523 (83b:57010)},
}
@BOOK{geotop,
TITLE={Geometric topology notes},
AUTHOR={Ferry, S.},
}
@article{math.AT/0008070,
author = {Ferry, S. and Andrew Ranicki},
title = {A survey of Wall's finiteness obstruction},
}
@article{math.GT/0509644,
title = {{An etale approach to the Novikov conjecture}},
author = {A. Dranishnikov and S. Ferry and Shmuel Weinberger},
eprint = {arXiv:math.GT/0509644},
}
@article{math.GT/0611004,
title = {{Cell-like maps and topological structure groups on manifolds}},
author = {A. Dranishnikov and S. Ferry},
eprint = {arXiv:math.GT/0611004},
}
@article {MR2137471,
AUTHOR = {Barthel, Gottfried and Brasselet, Jean-Paul and Fieseler,
Karl-Heinz and Kaup, Ludger},
TITLE = {Combinatorial duality and intersection product: a direct
approach},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {57},
YEAR = {2005},
NUMBER = {2},
PAGES = {273--292},
ISSN = {0040-8735},
CODEN = {TOMJAM},
MRCLASS = {14F43 (52B99)},
MRNUMBER = {2137471 (2006a:14031)},
MRREVIEWER = {Boris J. Kazarnovski{\u\i}},
URL = {http://projecteuclid.org/getRecord?id=euclid.tmj/1119888340},
}
@article {MR1611679,
AUTHOR = {Fimmel, Torsten},
TITLE = {Verdier duality for systems of coefficients over simplicial
sets},
JOURNAL = {Math. Nachr.},
FJOURNAL = {Mathematische Nachrichten},
VOLUME = {190},
YEAR = {1998},
PAGES = {51--122},
ISSN = {0025-584X},
MRCLASS = {55U30 (14F99 18F20 18G30 55N25)},
MRNUMBER = {MR1611679 (99g:55024)},
MRREVIEWER = {Timothy Porter},
}
@article {MR0032833,
AUTHOR = {Fine, N. J.},
TITLE = {On the {W}alsh functions},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {65},
YEAR = {1949},
PAGES = {372--414},
ISSN = {0002-9947},
MRCLASS = {42.4X},
MRNUMBER = {MR0032833 (11,352b)},
MRREVIEWER = {A. R{\'e}nyi},
}
@article {MR1328545,
AUTHOR = {Finkelberg, M. V.},
TITLE = {The orthogonal {M}aslov index},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Funktsional\cprime ny\u\i\
Analiz i ego Prilozheniya},
VOLUME = {29},
YEAR = {1995},
NUMBER = {1},
PAGES = {92--95},
ISSN = {0374-1990},
MRCLASS = {57R20 (57R67)},
MRNUMBER = {MR1328545 (96a:57058)},
MRREVIEWER = {J. S. Joel},
}
@book {MR0219059,
AUTHOR = {Cooke, George E. and Finney, Ross L.},
TITLE = {Homology of cell complexes},
SERIES = {Based on lectures by Norman E. Steenrod},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1967},
PAGES = {xv+256},
MRCLASS = {55.30 (55.25)},
MRNUMBER = {0219059 (36 \#2142)},
MRREVIEWER = {C. M. Maylor},
}
@article {MR1259454,
AUTHOR = {Fischli, Stephan and Yavin, David},
TITLE = {Which {$4$}-manifolds are toric varieties?},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {215},
YEAR = {1994},
NUMBER = {2},
PAGES = {179--185},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57R55 (14M25 57N13)},
MRNUMBER = {MR1259454 (95g:57045)},
MRREVIEWER = {Michel Domergue},
DOI = {10.1007/BF02571707},
URL = {http://dx.doi.org/10.1007/BF02571707},
}
@article{buckflapan,
AUTHOR = {Buck, D. and Flapan, E.},
TITLE = {A topological characterization of knots and links arising from site-specific recombination},
JOURNAL = {J. Phys. A: Math. Theor},
YEAR = {2007},
VOLUME = {40},
PAGES = {12377-12395},
}
@article {MR1272828,
AUTHOR = {Fleron, Julian F.},
TITLE = {A note on the history of the {C}antor set and {C}antor
function},
JOURNAL = {Math. Mag.},
FJOURNAL = {Mathematics Magazine},
VOLUME = {67},
YEAR = {1994},
NUMBER = {2},
PAGES = {136--140},
ISSN = {0025-570X},
CODEN = {MAMGA8},
MRCLASS = {01A55 (54-03)},
MRNUMBER = {MR1272828 (95c:01019)},
MRREVIEWER = {Douglas E. Cameron},
}
@article {flexner,
AUTHOR = {Flexner, William},
TITLE = {The Poincar\'e duality theorem for topological manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {32},
YEAR = {1931},
PAGES = {539--548},
}
@article{flexner2,
TITLE = {On Topological Manifolds},
AUTHOR = {William Flexner},
JOURNAL = {Annals of Mathematics},
VOLUME = {32},
YEAR = {1931},
PAGES = {393-406},
}
@article {MR1001276,
AUTHOR = {Floer, Andreas},
TITLE = {Witten's complex and infinite-dimensional Morse theory},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {30},
YEAR = {1989},
NUMBER = {1},
PAGES = {207--221},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58E05 (58F05)},
MRNUMBER = {1001276 (90d:58029)},
MRREVIEWER = {I. Vaisman},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214443291},
}
@ARTICLE{floer,
TITLE={Diplomarbeit},
AUTHOR={Andreas Floer},
}
@article {MR0050268,
AUTHOR = {Floyd, E. E.},
TITLE = {On related periodic maps},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {74},
YEAR = {1952},
PAGES = {547--554},
ISSN = {0002-9327},
MRCLASS = {56.0X},
MRNUMBER = {MR0050268 (14,304e)},
MRREVIEWER = {P. A. Smith},
}
@book {MR0176478,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {Differentiable periodic maps},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Band
33},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Publishers, New York},
YEAR = {1964},
PAGES = {vii+148},
MRCLASS = {57.10 (55.36)},
MRNUMBER = {MR0176478 (31 \#750)},
MRREVIEWER = {E. Dyer},
}
@article {MR0179796,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {Fibring within a cobordism class},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {12},
YEAR = {1965},
PAGES = {33--47},
ISSN = {0026-2285},
MRCLASS = {57.10},
MRNUMBER = {MR0179796 (31 \#4038)},
MRREVIEWER = {R. H. Szczarba},
}
@book {MR0216511,
AUTHOR = {Conner, P. E. and Floyd, E. E.},
TITLE = {The relation of cobordism to {$K$}-theories},
SERIES = {Lecture Notes in Mathematics, No. 28},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1966},
PAGES = {v+112},
MRCLASS = {57.10 (55.00)},
MRNUMBER = {MR0216511 (35 \#7344)},
MRREVIEWER = {M. F. Atiyah},
}
@book {MR1304906,
AUTHOR = {Mumford, David and Fogarty, J. and Kirwan, Frances},
TITLE = {Geometric invariant theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results
in Mathematics and Related Areas (2)]},
VOLUME = {34},
EDITION = {Third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xiv+292},
ISBN = {3-540-56963-4},
MRCLASS = {14D25 (58E05 58F05)},
MRNUMBER = {MR1304906 (95m:14012)},
MRREVIEWER = {Yi Hu},
}
@book {MR1076994,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {III}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {124},
NOTE = {Introduction to homology theory,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1990},
PAGES = {x+416},
ISBN = {0-387-97271-4},
MRCLASS = {55-02 (57-02 58-01)},
MRNUMBER = {1076994 (91j:55001)},
}
@book {MR1135798,
AUTHOR = {Novikov, S. P. and Fomenko, A. T.},
TITLE = {Basic elements of differential geometry and topology},
SERIES = {Mathematics and its Applications (Soviet Series)},
VOLUME = {60},
NOTE = {Translated from the Russian by M. V. Tsaplina},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1990},
PAGES = {x+490},
ISBN = {0-7923-1009-8},
MRCLASS = {58-01 (53-01)},
MRNUMBER = {1135798 (92h:58002)},
}
@book {MR1138462,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {I}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {93},
EDITION = {Second},
NOTE = {The geometry of surfaces, transformation groups, and fields,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1992},
PAGES = {xvi+468},
ISBN = {0-387-97663-9},
MRCLASS = {53-01 (00A05 58-01)},
MRNUMBER = {1138462 (92h:53001)},
MRREVIEWER = {Peter R. Law},
}
@article {ford1,
AUTHOR = {Ford, L. R.},
TITLE = {Fractions},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {45},
YEAR = {1938},
NUMBER = {9},
PAGES = {586--601},
}
@article {ford2,
AUTHOR = {Ford, L. R.},
TITLE = {Automorphic functions},
YEAR = {1929},
PUBLISHER = {McGraw-Hill},
}
@article {MR1612391,
AUTHOR = {Forman, Robin},
TITLE = {Morse theory for cell complexes},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {134},
YEAR = {1998},
NUMBER = {1},
PAGES = {90--145},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57Q99 (57R70 58E05)},
MRNUMBER = {MR1612391 (99b:57050)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}
@article {MR1911862,
AUTHOR = {Forman, Robin},
TITLE = {Combinatorial {N}ovikov-{M}orse theory},
JOURNAL = {Internat. J. Math.},
FJOURNAL = {International Journal of Mathematics},
VOLUME = {13},
YEAR = {2002},
NUMBER = {4},
PAGES = {333--368},
ISSN = {0129-167X},
MRCLASS = {57Q10},
MRNUMBER = {MR1911862 (2003f:57046)},
MRREVIEWER = {Michael S. Farber},
}
@article {MR1926850,
AUTHOR = {Forman, Robin},
TITLE = {Discrete {M}orse theory and the cohomology ring},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {354},
YEAR = {2002},
NUMBER = {12},
PAGES = {5063--5085 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q99 (58E05)},
MRNUMBER = {MR1926850 (2003g:57038)},
MRREVIEWER = {Michael S. Farber},
}
@article {MR1939695,
AUTHOR = {Forman, Robin},
TITLE = {A user's guide to discrete {M}orse theory},
JOURNAL = {S\'em. Lothar. Combin.},
FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
VOLUME = {48},
YEAR = {2002},
PAGES = {Art.\ B48c, 35 pp. (electronic)},
MRCLASS = {57Q05 (57R70)},
MRNUMBER = {MR1939695 (2003j:57040)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}
@incollection {MR2108994,
AUTHOR = {Forman, Robin},
TITLE = {How many equilibria are there? {A}n introduction to {M}orse
theory},
BOOKTITLE = {Six themes on variation},
SERIES = {Stud. Math. Libr.},
VOLUME = {26},
PAGES = {13--36},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2004},
MRCLASS = {58E05 (37C25 49-01)},
MRNUMBER = {MR2108994},
}
@article{davis_aspherical_2013,
title = {Aspherical manifolds that cannot be triangulated},
url = {http://arxiv.org/abs/1304.3730},
abstract = {Although Kirby and Siebenmann showed that there
are manifolds that do not admit {PL} structures, the
possibility remained that all manifolds could be triangulated.
In the late seventies Galewski and Stern and independently
Matumoto showed that non-triangulable manifolds exist in all
dimensions {\textgreater} 4 if and only if homology 3-spheres
with certain properties do not exist. In 2013 Manolescu showed
that, indeed, there were no such homology 3-spheres and hence,
non-triangulable manifolds exist in each dimension
{\textgreater}4. It follows from work of Freedman in 1982 that
there are 4-manifolds that cannot be triangulated. In 1991
Davis and Januszkiewicz applied a hyperbolization procedure to
Freedman's 4-manifolds to get closed aspherical 4-manifolds
that cannot be triangulated. In this paper we apply
hyperbolization techniques to the Galewski-Stern manifolds to
show that there exist closed aspherical n-manifolds that cannot
be triangulated for each n{\textgreater} 5. The question
remains open in dimension 5.},
urldate = {2013-04-16},
journal = {{arXiv:1304.3730}},
author = {Davis, Michael W. and Fowler, Jim and Lafont,
J.-F.},
month = apr,
year = {2013},
keywords ="{57Q15}, {57Q25}, {20F65} (Primary), {57R58
}
@article {MR0040658,
AUTHOR = {Blanchfield, R. C. and Fox, Ralph H.},
TITLE = {Invariants of self-linking},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {53},
YEAR = {1951},
PAGES = {556--564},
MRCLASS = {56.0X},
MRNUMBER = {MR0040658 (12,730b)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0053938,
AUTHOR = {Fox, Ralph H.},
TITLE = {Free differential calculus. {I}. {D}erivation in the free
group ring},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {57},
YEAR = {1953},
PAGES = {547--560},
ISSN = {0003-486X},
MRCLASS = {20.0X},
MRNUMBER = {MR0053938 (14,843d)},
MRREVIEWER = {R. Bott},
}
@article {MR0062125,
AUTHOR = {Fox, Ralph H.},
TITLE = {Free differential calculus. {II}. {T}he isomorphism problem of
groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {59},
YEAR = {1954},
PAGES = {196--210},
ISSN = {0003-486X},
MRCLASS = {20.0X},
MRNUMBER = {MR0062125 (15,931e)},
MRREVIEWER = {R. Bott},
}
@article {MR0095876,
AUTHOR = {Fox, Ralph H.},
TITLE = {Free differential calculus. {III}. {S}ubgroups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {64},
YEAR = {1956},
PAGES = {407--419},
ISSN = {0003-486X},
MRCLASS = {20.00 (55.00)},
MRNUMBER = {MR0095876 (20 \#2374)},
MRREVIEWER = {R. C. Lyndon},
}
@article {MR0102539,
AUTHOR = {Chen, K.-T. and Fox, Ralph H. and Lyndon, R. C.},
TITLE = {Free differential calculus. {IV}. {T}he quotient groups of the
lower central series},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {81--95},
ISSN = {0003-486X},
MRCLASS = {20.00},
MRNUMBER = {MR0102539 (21 \#1330)},
MRREVIEWER = {R. H. Bruck},
}
@article {MR0111781,
AUTHOR = {Fox, Ralph H.},
TITLE = {Free differential calculus. {V}. {T}he {A}lexander matrices
re-examined},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {71},
YEAR = {1960},
PAGES = {408--422},
ISSN = {0003-486X},
MRCLASS = {20.00 (55.00)},
MRNUMBER = {MR0111781 (22 \#2642)},
MRREVIEWER = {R. C. Lyndon},
}
@incollection {MR0123298,
AUTHOR = {Fox, Ralph H.},
TITLE = {Covering spaces with singularities},
BOOKTITLE = {A symposium in honor of {S}. {L}efschetz},
PAGES = {243--257},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1957},
MRCLASS = {55.99 (54.00)},
MRNUMBER = {MR0123298 (23 \#A626)},
MRREVIEWER = {B. Eckmann},
}
@incollection {MR0140099,
AUTHOR = {Fox, Ralph H.},
TITLE = {A quick trip through knot theory},
BOOKTITLE = {Topology of 3-manifolds and related topics (Proc. The Univ. of
Georgia Institute, 1961)},
PAGES = {120--167},
PUBLISHER = {Prentice-Hall},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1962},
MRCLASS = {55.20},
MRNUMBER = {MR0140099 (25 \#3522)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0211392,
AUTHOR = {Fox, Ralph H. and Milnor, John W.},
TITLE = {Singularities of {$2$}-spheres in {$4$}-space and cobordism of
knots},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {3},
YEAR = {1966},
PAGES = {257--267},
ISSN = {0030-6126},
MRCLASS = {55.20 (57.00)},
MRNUMBER = {MR0211392 (35 \#2273)},
MRREVIEWER = {C. H. Giffen},
}
@book {MR0445489,
AUTHOR = {Crowell, Richard and Fox, Ralph H.},
TITLE = {Introduction to knot theory},
NOTE = {Reprint of the 1963 original,
Graduate Texts in Mathematics, No. 57},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {x+182},
MRCLASS = {55A25},
MRNUMBER = {MR0445489 (56 \#3829)},
}
@article{fox1957singularities,
title={{Singularities of 2-spheres in 4-space and equivalence of knots}},
author={Fox, Ralph H. and Milnor, John W.},
journal={Bull. Amer. Math. Soc},
volume={63},
pages={406},
year={1957},
}
@article {MR1699257,
AUTHOR = {Francis, George K. and Weeks, Jeffrey R.},
TITLE = {Conway's {ZIP} proof},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {106},
YEAR = {1999},
NUMBER = {5},
PAGES = {393--399},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {57N05 (57M99)},
MRNUMBER = {1699257 (2000m:57023)},
MRREVIEWER = {Patrick Gilmer},
DOI = {10.2307/2589143},
URL = {http://dx.doi.org/10.2307/2589143},
}
@book {MR2265679,
AUTHOR = {Francis, George K.},
TITLE = {A topological picturebook},
NOTE = {Reprint of the 1987 original},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2007},
PAGES = {xvi+194},
ISBN = {978-0-387-34542-0; 0-387-34542-6},
MRCLASS = {57-01 (00A05)},
MRNUMBER = {2265679 (2007f:57001)},
}
@article {MR0222906,
AUTHOR = {Frank, David},
TITLE = {An invariant for almost-closed manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {74},
YEAR = {1968},
PAGES = {562--567},
ISSN = {0002-9904},
MRCLASS = {57.10},
MRNUMBER = {MR0222906 (36 \#5956)},
MRREVIEWER = {P. S. Landweber},
}
@article {MR0328959,
AUTHOR = {Frank, David},
TITLE = {The signature {${\rm mod}\ 8$}},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {48},
YEAR = {1973},
PAGES = {520--524},
MRCLASS = {57D65 (57B10)},
MRNUMBER = {MR0328959 (48 \#7301)},
MRREVIEWER = {Gregory W. Brumfiel},
}
@article {MR0343288,
AUTHOR = {Frank, David},
TITLE = {The signature defect and the homotopy of {${\rm BPL}$} and
{${\rm PL/O}$}},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {48},
YEAR = {1973},
PAGES = {525--530},
MRCLASS = {57D10},
MRNUMBER = {MR0343288 (49 \#8030)},
MRREVIEWER = {Gregory W. Brumfiel},
}
@book {MR2060795,
AUTHOR = {Frankel, Theodore},
TITLE = {The geometry of physics},
EDITION = {Second},
NOTE = {An introduction},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {xxvi+694},
ISBN = {0-521-83330-2; 0-521-53927-7},
MRCLASS = {58-01 (53-01)},
MRNUMBER = {2060795 (2005a:58001
}
@article {franpont,
AUTHOR = {Frankl, P. and Pontryagin, L.},
TITLE = {Ein Knotensatz mit Anwendungen auf Dimensionstheorie},
JOURNAL = {Math. Annalen},
VOLUME = {102},
YEAR = {1930},
PAGES={785--789},
}
@article {MR1561399,
AUTHOR = {Franklin, Philip},
TITLE = {A theorem of {F}robenius on quadratic forms},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {33},
YEAR = {1927},
NUMBER = {4},
PAGES = {447--452},
ISSN = {0002-9904},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1561399},
DOI = {10.1090/S0002-9904-1927-04404-4},
URL = {http://dx.doi.org/10.1090/S0002-9904-1927-04404-4},
}
@book {adamfranz,
AUTHOR = {Adams, Colin C. and Franzosa, Robert},
TITLE = {Introduction to topology},
NOTE = {An elementary introduction to the mathematical theory of knots},
}
@article {MR1133261,
AUTHOR = {Freed, Daniel S. and Gompf, Robert E.},
TITLE = {Computer calculation of {W}itten's {$3$}-manifold invariant},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {141},
YEAR = {1991},
NUMBER = {1},
PAGES = {79--117},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57N10 (11L03 57M25 58D30 58G26 81T13 81T40)},
MRNUMBER = {MR1133261 (93d:57027)},
MRREVIEWER = {Ronald J. Stern},
}
@article {MR1295462,
AUTHOR = {Dai, Xianzhe and Freed, Daniel S.},
TITLE = {{$\eta$}-invariants and determinant lines},
NOTE = {Topology and physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {35},
YEAR = {1994},
NUMBER = {10},
PAGES = {5155--5194},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {58G26 (58G20)},
MRNUMBER = {MR1295462 (96a:58204)},
MRREVIEWER = {J{\"u}rgen Eichhorn},
}
@article {MR853982,
AUTHOR = {Bismut, Jean-Michel and Freed, Daniel S.},
TITLE = {The analysis of elliptic families. {I}. {M}etrics and
connections on determinant bundles},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {106},
YEAR = {1986},
NUMBER = {1},
PAGES = {159--176},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G11 (58G10 58G32)},
MRNUMBER = {MR853982 (88h:58110a)},
MRREVIEWER = {Ezra Getzler},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104115586},
}
@article {MR861886,
AUTHOR = {Bismut, Jean-Michel and Freed, Daniel S.},
TITLE = {The analysis of elliptic families. {II}. {D}irac operators,
eta invariants, and the holonomy theorem},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {107},
YEAR = {1986},
NUMBER = {1},
PAGES = {103--163},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G11 (58G10 58G32)},
MRNUMBER = {MR861886 (88h:58110b)},
MRREVIEWER = {Ezra Getzler},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104115934},
}
@article{freed_cobordism_2012,
title = {The cobordism hypothesis},
url = {http://arxiv.org/abs/1210.5100},
abstract = {In this expository paper we introduce extended
topological quantum field theories and the cobordism
hypothesis.},
urldate = {2012-10-29},
journal = {{arXiv:1210.5100}},
author = {Freed, Daniel S.},
month = oct,
year = {2012},
keywords = {High Energy Physics - Theory, Mathematical
Physics, Mathematics - Algebraic Topology},
}
@book {MR1043633,
AUTHOR = {Freedman, Michael H. and Luo, Feng},
TITLE = {Selected applications of geometry to low-dimensional topology},
SERIES = {University Lecture Series},
VOLUME = {1},
NOTE = {Marker Lectures in the Mathematical Sciences held at The
Pennsylvania State University, University Park, Pennsylvania,
February 2--5, 1987},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1989},
PAGES = {xii+79},
ISBN = {0-8218-7000-9},
MRCLASS = {57-02 (53C20 57N13 57R30 57R55 58E11)},
MRNUMBER = {1043633 (91k:57002)},
MRREVIEWER = {Christopher W. Stark},
}
@book {MR1201584,
AUTHOR = {Freedman, Michael H. and Quinn, Frank},
TITLE = {Topology of 4-manifolds},
SERIES = {Princeton Mathematical Series},
VOLUME = {39},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1990},
PAGES = {viii+259},
ISBN = {0-691-08577-3},
MRCLASS = {57N13 (57-02)},
MRNUMBER = {MR1201584 (94b:57021)},
MRREVIEWER = {Ian Hambleton},
}
@incollection {MR520525,
AUTHOR = {Freedman, Michael H. and Kirby, Rob},
TITLE = {A geometric proof of Rochlin's theorem},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {85--97},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R95},
MRNUMBER = {520525 (80f:57015)},
MRREVIEWER = {Terry Lawson},
}
@article{63.0558.04,
author="Freudenthal, Hans",
title="{Zum Hopfschen Umkehrhomomorphismus.}",
language="German",
journal="Ann. Math., Princeton, (2)",
volume="38",
pages="847-853",
year="1937",
abstract="{Es wird gezeigt, da{\ss} der Umkehrhomomorphismus f\"ur
Mannigfaltigkeits-Abbildungen, der vom Ref. mit Hilfe der {\it
Lefschetz}schen Produktmethode eingef\"uhrt worden war (J. reine angew.
Math. 163 (1930), 71-88; JFM 56.0501.*), im Rahmen der neuen
Homologietheorie ({\it Alexander-Kolmogoroff}) begr\"undet und da{\ss} sein
G\"ultigkeitsbereich erweitert werden kann. Die Symbolik aus der im
vorstehenden besprochenen Arbeit des Verf. wird benutzt.}",
reviewer="{Hopf, H.; Prof. (Z\"urich)}",
}
@article {MR0170974,
AUTHOR = {Freudenthal, Hans},
TITLE = {Lie groups in the foundations of geometry},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {1},
YEAR = {1964},
NUMBER = {fasc. 2},
PAGES = {145--190 (1964)},
ISSN = {0001-8708},
MRCLASS = {22.00 (50.05)},
MRNUMBER = {MR0170974 (30 \#1208)},
MRREVIEWER = {W. Klingenberg},
}
@book {MR0260926,
AUTHOR = {Freudenthal, Hans and de Vries, H.},
TITLE = {Linear {L}ie groups},
SERIES = {Pure and Applied Mathematics, Vol. 35},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1969},
PAGES = {xxii+547},
MRCLASS = {22.50},
MRNUMBER = {0260926 (41 \#5546)},
MRREVIEWER = {W. Klingenberg},
}
@article {MR1556999,
AUTHOR = {Freudenthal, Hans},
TITLE = {\"{U}ber die {K}lassen der {S}ph\"arenabbildungen {I}.
{G}ro\ss e {D}imensionen},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {5},
YEAR = {1938},
PAGES = {299--314},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1556999},
}
@book {MR2640509,
AUTHOR = {Freudenthal, Hans},
TITLE = {Hans {F}reudenthal selecta},
SERIES = {Heritage of European Mathematics},
NOTE = {Edited by Tonny A. Springer and Dirk van Dalen},
PUBLISHER = {European Mathematical Society (EMS), Z\"urich},
YEAR = {2009},
PAGES = {viii+653},
ISBN = {978-3-03719-058-6},
MRCLASS = {01A75},
MRNUMBER = {2640509},
}
@book {MR0166240,
AUTHOR = {Freyd, Peter},
TITLE = {Abelian categories. {A}n introduction to the theory of
functors},
SERIES = {Harper's Series in Modern Mathematics},
PUBLISHER = {Harper \& Row Publishers},
ADDRESS = {New York},
YEAR = {1964},
PAGES = {xi+164},
MRCLASS = {18.15},
MRNUMBER = {0166240 (29 \#3517)},
MRREVIEWER = {A. Heller},
}
@article {MR2113910,
AUTHOR = {Friedl, Stefan},
TITLE = {Full signature invariants for {$L\sb 0(F(t))$}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {133},
YEAR = {2005},
NUMBER = {3},
PAGES = {647--653 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19Gxx (19Lxx 57M27)},
MRNUMBER = {MR2113910},
}
@article {MR2308963,
AUTHOR = {Harvey, Shelly and Friedl, Stefan},
TITLE = {Non-commutative multivariable {R}eidemester torsion and the
{T}hurston norm},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {7},
YEAR = {2007},
PAGES = {755--777},
MRCLASS = {57M27 (57N10)},
MRNUMBER = {MR2308963},
}
@article {bf1,
author = {Borodzik, Maciej and Friedl, Stefan},
title = {The unknotting number and classical invariants I},
year = {2012},
}
@article {bf2,
author = {Borodzik, Maciej and Friedl, Stefan},
title = {The unknotting number and classical invariants I},
year = {2012},
}
@article{cha_twisted_2010,
title = {Twisted torsion invariants and link concordance},
url = {http://arxiv.org/abs/1001.0926},
abstract = {The twisted torsion of a 3-manifold is well-known to be zero whenever the corresponding twisted Alexander module is non-torsion. Under mild extra assumptions we introduce a new twisted torsion invariant which is always non-zero. We show how this torsion invariant relates to the twisted intersection form of a bounding 4-manifold, generalizing a theorem of Milnor. Using this result, we give new obstructions to 3-manifolds being homology cobordant and to links being concordant. These obstructions are sufficiently strong to detect that the Bing double of the figure eight knot is not slice.},
journal = {1001.0926},
author = {Jae Choon Cha and Stefan Friedl},
year = {2010},
keywords = {{57M25,} {57M27,} {57N70,} Mathematics - Geometric Topology},
}
@article{cochran_new_2007,
title = {New Constructions of Slice Links},
url = {http://arxiv.org/abs/0709.2148},
abstract = {We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general context for proving links are slice that includes many of the previously known results.},
journal = {0709.2148},
author = {Tim D. Cochran and Stefan Friedl and Peter Teichner},
month = sep,
year = {2007},
note = {Commentarii Math. Helv. 84, no.3, (2009), 617-638},
keywords = {{57M25,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{friedl_survey_2009,
title = {A survey of twisted Alexander polynomials},
url = {http://arxiv.org/abs/0905.0591},
abstract = {We give a short introduction to the theory of twisted Alexander polynomials of a 3--manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems. We conclude with a short summary of the theory of higher order Alexander polynomials.},
journal = {0905.0591},
author = {Stefan Friedl and Stefano Vidussi},
month = may,
year = {2009},
keywords = {{57M27,} {57M25,} Mathematics - Geometric Topology},
}
@article{friedl_twisted_2008,
title = {Twisted Alexander polynomials detect fibered 3-manifolds},
url = {http://arxiv.org/abs/0805.1234},
abstract = {A classical result in knot theory says that the Alexander polynomial of a fibered knot is monic and that its degree equals twice the genus of the knot. This result has been generalized by various authors to twisted Alexander polynomials and fibered 3-manifolds. In this paper we show that the conditions on twisted Alexander polynomials are not only necessary but also sufficient for a 3-manifold to be fibered. By previous work of the authors this result implies that if a manifold of the form S{\textasciicircum}1 x N{\textasciicircum}3 admits a symplectic structure, then N fibers over S{\textasciicircum}1. In fact we will completely determine the symplectic cone of S{\textasciicircum}1 x N in terms of the fibered faces of the Thurston norm ball of N.},
journal = {0805.1234},
author = {Stefan Friedl and Stefano Vidussi},
month = may,
year = {2008},
keywords = {{57M27,} Mathematics - Geometric Topology, Mathematics - Symplectic Geometry},
}
@article{friedl_twisted_2009,
title = {Twisted Alexander polynomials and fibered 3-manifolds},
url = {http://arxiv.org/abs/1001.0132},
abstract = {In a series of papers the authors proved that twisted Alexander polynomials detect fibered 3-manifolds, and they showed that this implies that a closed 3-manifold N is fibered if and only if S{\textasciicircum}1 x N is symplectic. In this note we summarize some of the key ideas of the proofs. We also give new evidence to the conjecture that if \$ is a symplectic 4-manifold with a free S{\textasciicircum}1-action, then the orbit space is fibered.},
journal = {1001.0132},
author = {Stefan Friedl and Stefano Vidussi},
month = dec,
year = {2009},
keywords = {{57M27,} Mathematics - Geometric Topology},
}
@article{friedl_twisted_2010,
title = {Twisted Alexander polynomials of hyperbolic knots},
author = {Nicholas Jackson and Nathan Dunfield and Stefan Friedl},
year = {2010},
keywords = {preprint},
}
@article{math.GT/0305401,
title = {{$L^2$--eta--invariants and their approximation by unitary
eta--invariants}},
author = {Stefan Friedl},
}
@article{math.GT/0305402,
title = {{Eta invariants as sliceness obstructions and their relation
to Casson-Gordon invariants}},
author = {Stefan Friedl},
journal = {Algebr. Geom. Topol.},
volume = 4,
year = 2004,
pages = {893--934},
}
@article{math.GT/0305405,
title = {{Algorithm for finding boundary link Seifert matrices}},
author = {Stefan Friedl},
}
@article{math.GT/0306149,
title = {{Link concordance, boundary link concordance and eta
invariants}},
author = {Stefan Friedl},
}
@article{math.GT/0505233,
title = {{New topologically slice knots}},
author = {Stefan Friedl and Peter Teichner},
eprint = {arXiv:math.GT/0505233},
}
@article{math.GT/0505594,
title = {{Thurston norm, fibered manifolds and twisted Alexander
polynomials}},
author = {Stefan Friedl and Taehee Kim},
eprint = {arXiv:math.GT/0505594},
}
@article{math.GT/0505682,
title = {{Twisted Alexander norms give lower bounds on the Thurston
norm}},
author = {Stefan Friedl and Taehee Kim},
eprint = {arXiv:math.GT/0505682},
}
@article{math.GT/0508648,
title = {{Reidemeister torsion, the Thurston norm and Harvey's
invariants}},
author = {Stefan Friedl},
eprint = {arXiv:math.GT/0508648},
}
@article{MR2182598,
TITLE = {Handbook of {$K$}-theory. {V}ol. 1, 2},
AUTHOR = {Friedlander, Eric M. and Grayson, Daniel R.},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2005},
PAGES = {Vol. 1: xiv+535 pp.; Vol. 2: pp. i--x and 537--1163},
ISBN = {978-3-540-23019-9; 3-540-23019-X},
MRCLASS = {19-06},
MRNUMBER = {MR2182598 (2006e:19001)},
DOI = {10.1007/3-540-27855-9},
}
@article {MR2021047,
AUTHOR = {Friedman, Greg},
TITLE = {Alexander polynomials of non-locally-flat knots},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {52},
YEAR = {2003},
NUMBER = {6},
PAGES = {1479--1578},
ISSN = {0022-2518},
CODEN = {IUMJAB},
MRCLASS = {57Q45 (57M25)},
MRNUMBER = {2021047 (2004m:57051)},
MRREVIEWER = {Masayuki Yamasaki},
DOI = {10.1512/iumj.2003.52.2359},
URL = {http://dx.doi.org/10.1512/iumj.2003.52.2359},
}
@article {MR2030588,
AUTHOR = {Friedman, Greg},
TITLE = {Intersection {A}lexander polynomials},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {1},
PAGES = {71--117},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45 (55N33 55T10 57N80)},
MRNUMBER = {2030588 (2004j:57036)},
MRREVIEWER = {Alberto Cavicchioli},
DOI = {10.1016/S0040-9383(03)00030-2},
URL = {http://dx.doi.org/10.1016/S0040-9383(03)00030-2},
}
@article {MR2391128,
AUTHOR = {Friedman, Greg},
TITLE = {Cobordism of disk knots},
JOURNAL = {Israel J. Math.},
FJOURNAL = {Israel Journal of Mathematics},
VOLUME = {163},
YEAR = {2008},
PAGES = {139--188},
ISSN = {0021-2172},
CODEN = {ISJMAP},
MRCLASS = {57M25},
MRNUMBER = {2391128 (2009k:57006)},
DOI = {10.1007/s11856-008-0008-3},
URL = {http://dx.doi.org/10.1007/s11856-008-0008-3},
}
@article {MR2542270,
AUTHOR = {Friedman, Greg},
TITLE = {Intersection homology with field coefficients: {$K$}-{W}itt
spaces and {$K$}-{W}itt bordism},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {62},
YEAR = {2009},
NUMBER = {9},
PAGES = {1265--1292},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {19D55 (55N33)},
MRNUMBER = {2542270 (2011d:19008)},
MRREVIEWER = {Jerry Lodder},
DOI = {10.1002/cpa.20291},
URL = {http://dx.doi.org/10.1002/cpa.20291},
}
@article{friedman_additivity_2009,
title = {Additivity and non-additivity for perverse signatures},
url = {http://arxiv.org/abs/0911.3915},
abstract = {A well-known property of the signature of closed oriented 4n-dimensional manifolds is Novikov additivity, which states that if a manifold is split into two manifolds with boundary along an oriented smooth hypersurface, then the signature of the original manifold equals the sum of the signatures of the resulting manifolds with boundary. Wall showed that this property is not true of signatures on manifolds with boundary and that the difference from additivity could be described as a certain Maslov triple index. Perverse signatures are signatures defined for any stratified pseudomanifold, using the intersection homology groups of Goresky and {MacPherson.} In the case of Witt spaces, the middle perverse signature is the same as the Witt signature. This paper proves a generalization to perverse signatures of Wall's non-additivity theorem for signatures of manifolds with boundary. Under certain topological conditions on the dividing {hypersurface,Novikov} additivity for perverse signatures may be deduced as a corollary. In particular, Siegel's version of Novikov additivity for Witt signatures is a special case of this corollary.},
journal = {0911.3915},
author = {Greg Friedman and Eugenie Hunsicker},
month = nov,
year = {2009},
keywords = {{53D12,} {15A63} {(Secondary),} {55N33,} {57R20} {(Primary),} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{friedman_cup_2011,
title = {Cup and cap products in intersection (co)homology},
url = {http://arxiv.org/abs/1106.4799},
abstract = {We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincare duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.},
journal = {1106.4799},
author = {Friedman, Greg and McClure, James},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology, Primary: {55N33}, {55N45}, Secondary: {57N80}, {55M05}},
}
@article{friedman_elementary_2008,
title = {An elementary illustrated introduction to simplicial sets},
url = {http://arxiv.org/abs/0809.4221},
abstract = {This is an expository introduction to simplicial sets and simplicial homotopy theory with particular focus on relating the combinatorial aspects of the theory to their geometric/topological origins. It is intended to be accessible to students familiar with just the fundamentals of algebraic topology.},
journal = {0809.4221},
author = {Friedman, Greg},
month = sep,
year = {2008},
keywords = {{18G30}, {55U10}, Mathematics - Algebraic Topology, Mathematics - Category Theory, Mathematics - Geometric Topology},
}
@article{friedman_symmetric_2011,
title = {The symmetric signature of a Witt space},
url = {http://arxiv.org/abs/1106.4798},
abstract = {Witt spaces are pseudomanifolds for which the middle-perversity intersection homology with rational coefficients is self-dual. We give a new construction of the symmetric signature for Witt spaces which is similar in spirit to the construction given by Miscenko for manifolds. Our construction has all of the expected properties, including invariance under stratified homotopy equivalence.},
journal = {1106.4798},
author = {Friedman, Greg and McClure, James},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology, Primary: {55N33}, {57R67}, Secondary: {57N80}, {19J25}, {19G24}},
}
@article{math.GT/0410606,
title = {{Knot spinning}},
author = {Greg Friedman},
}
@book {MR1777332,
AUTHOR = {Friedrich, Thomas},
TITLE = {Dirac operators in {R}iemannian geometry},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {25},
NOTE = {Translated from the 1997 German original by Andreas Nestke},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {xvi+195},
ISBN = {0-8218-2055-9},
MRCLASS = {58J05 (53C27 57R57 58J20 58J50)},
MRNUMBER = {1777332 (2001c:58017)},
}
@article{10.0076.01,
author="Frobenius, G.",
title="{Ueber die schiefe Invariante einer bilinearen oder quadratischen
Form.}",
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {86},
YEAR = {1878},
PAGES = {44-71},
}
@article {frobenius,
AUTHOR = {Frobenius, G.},
TITLE = {Ueber das Traegheitsgesetz der quadratischen Formen},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {114},
YEAR = {1895},
PAGES = {187--230},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11F20 (11F11 11F25 11F66)},
MRNUMBER = {MR2359852 (2009b:11074)},
}
@article {MR2385665,
AUTHOR = {Fukaya, Kenji and Seidel, Paul and Smith, Ivan},
TITLE = {Exact {L}agrangian submanifolds in simply-connected cotangent
bundles},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {172},
YEAR = {2008},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {53D12 (53D40)},
MRNUMBER = {MR2385665 (2009a:53142)},
MRREVIEWER = {Michael J. Usher},
DOI = {10.1007/s00222-007-0092-8},
URL = {http://dx.doi.org/10.1007/s00222-007-0092-8},
}
@article {MR0225340,
AUTHOR = {Fuks, D. B.},
TITLE = {The {M}aslov-{A}rnol\cprime d characteristic classes},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {178},
YEAR = {1968},
PAGES = {303--306},
ISSN = {0002-3264},
MRCLASS = {57.32},
MRNUMBER = {MR0225340 (37 \#934)},
MRREVIEWER = {N. Stein},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@book {MR1234037,
AUTHOR = {Fulton, William},
TITLE = {Introduction to toric varieties},
SERIES = {Annals of Mathematics Studies},
VOLUME = {131},
NOTE = {The William H. Roever Lectures in Geometry},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1993},
PAGES = {xii+157},
ISBN = {0-691-00049-2},
MRCLASS = {14M25 (14-02 14J30)},
MRNUMBER = {MR1234037 (94g:14028)},
MRREVIEWER = {T. Oda},
}
@book {MR1343250,
AUTHOR = {Fulton, William},
TITLE = {Algebraic topology},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {153},
NOTE = {A first course},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xviii+430},
ISBN = {0-387-94326-9; 0-387-94327-7},
MRCLASS = {55-01 (30-01 57-01)},
MRNUMBER = {MR1343250 (97b:55001)},
MRREVIEWER = {Ross Geoghegan},
}
@article{funar_two_2009,
title = {Two questions on mapping class groups},
url = {http://arxiv.org/abs/0910.1491},
abstract = {We show that central extensions of the mapping class group {\$M\_g\$} of the closed orientable surface of genus \$g\$ by {\${\textbackslash}Z\$} are residually finite. Further we give rough estimates of the largest {\$N=N\_g\$} such that homomorphisms from {\$M\_g\$} to {SU(N)} have finite image. In particular, homomorphisms of {\$M\_g\$} into {\$SL([{\textbackslash}sqrt{g+1}],{\textbackslash}C)\$} have finite image. Both results come from properties of quantum representations of mapping class groups.},
journal = {0910.1491},
author = {Louis Funar},
month = oct,
year = {2009},
keywords = {57 M 07, 20 F 36, Mathematics - Geometric Topology},
}
@article {MR1630119,
AUTHOR = {Booss, Bernhelm and Furutani, Kenro},
TITLE = {The {M}aslov index: a functional analytical definition and the
spectral flow formula},
JOURNAL = {Tokyo J. Math.},
FJOURNAL = {Tokyo Journal of Mathematics},
VOLUME = {21},
YEAR = {1998},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0387-3870},
MRCLASS = {58G10 (47B25 58G20)},
MRNUMBER = {MR1630119 (99e:58172)},
MRREVIEWER = {Liviu I. Nicolaescu},
}
@book {MR2403898,
AUTHOR = {F{\'e}lix, Yves and Oprea, John and Tanr{\'e}, Daniel},
TITLE = {Algebraic models in geometry},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {17},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2008},
PAGES = {xxii+460},
ISBN = {978-0-19-920651-3},
MRCLASS = {55P62 (53-02 53C22 53D35 55-02)},
MRNUMBER = {2403898 (2009a:55006)},
MRREVIEWER = {Samuel B. Smith},
}
@book {MR0210125,
AUTHOR = {Gabriel, Pierre and Zisman, M.},
TITLE = {Calculus of fractions and homotopy theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35},
PUBLISHER = {Springer-Verlag New York, Inc., New York},
YEAR = {1967},
PAGES = {x+168},
MRCLASS = {55.40 (18.00)},
MRNUMBER = {MR0210125 (35 \#1019)},
MRREVIEWER = {A. K. Bousfield},
}
@article {MR0232821,
AUTHOR = {Gabriel, Pierre},
TITLE = {Des cat\'egories ab\'eliennes},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {90},
YEAR = {1962},
PAGES = {323--448},
ISSN = {0037-9484},
MRCLASS = {18.20},
MRNUMBER = {MR0232821 (38 \#1144)},
MRREVIEWER = {T.-Y. Lam},
}
@article {MR2104849,
AUTHOR = {Gaifullin, A. A.},
TITLE = {Local formulas for combinatorial {P}ontryagin classes},
JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Izvestiya. Seriya
Matematicheskaya},
VOLUME = {68},
YEAR = {2004},
NUMBER = {5},
PAGES = {13--66},
ISSN = {0373-2436},
MRCLASS = {57R20 (55R40)},
MRNUMBER = {MR2104849 (2006c:57028)},
MRREVIEWER = {Serge L. Tabachnikov},
}
@article {MR2190923,
AUTHOR = {Gaifullin, A. A.},
TITLE = {Computation of characteristic classes of a manifold from its
triangulation},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk},
VOLUME = {60},
YEAR = {2005},
NUMBER = {4(364)},
PAGES = {37--66},
ISSN = {0042-1316},
MRCLASS = {57R20 (55R40)},
MRNUMBER = {MR2190923 (2006i:57056)},
MRREVIEWER = {J{\'u}lius Korba{\v{s}}},
}
@article {MR2506750,
AUTHOR = {Galatius, S{\o}ren and Tillmann, Ulrike and Madsen, Ib and
Weiss, Michael},
TITLE = {The homotopy type of the cobordism category},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {202},
YEAR = {2009},
NUMBER = {2},
PAGES = {195--239},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {55Pxx (55Nxx)},
MRNUMBER = {MR2506750},
DOI = {10.1007/s11511-009-0036-9},
URL = {http://dx.doi.org/10.1007/s11511-009-0036-9},
}
@article {MR0445507,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {The relationship between homology and topological manifolds
via homology transversality},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {39},
YEAR = {1977},
NUMBER = {3},
PAGES = {277--292},
ISSN = {0020-9910},
MRCLASS = {57C35 (57B99 55F60)},
MRNUMBER = {MR0445507 (56 \#3847)},
MRREVIEWER = {Norman Levitt},
}
@incollection {MR520518,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {Simplicial triangulations of topological manifolds},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {7--12},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57Q15},
MRNUMBER = {520518 (80m:57014)},
MRREVIEWER = {B. J. Sanderson},
}
@article {MR558395,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {Classification of simplicial triangulations of topological
manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {111},
YEAR = {1980},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57Q15 (57Q25)},
MRNUMBER = {MR558395 (81f:57012)},
MRREVIEWER = {R. C. Kirby},
}
@incollection {galhol,
AUTHOR = {Galewski, David E. and Hollingsworth, John},
TITLE = {Homotopy approximating codimension one Poincare complexes in manifolds by manifolds},
}
@article{gallaspy_goeritz_2009,
title = {The Goeritz matrix and signature of a two bridge knot},
url = {http://arxiv.org/abs/0910.2872},
abstract = {According to a formula by Gordon and Litherland, the signature of a knot K can be computed as the signature of a Goeritz matrix of K minus a suitable correction term, read off from the diagram of K. In this article, we consider the family of two bridge knots K(p/q) and compute the signature of their Goeritz matrices in terms of the coefficients of the continued fraction expansion of p/q. In many cases we also compute the value of the correction term. We show that for every two bridge knot K(p/q), there are "even continued fraction expansions" of p/q, for which the correction term vanishes, thereby fully computing the signature of K(p/q). We provide an algorithm for finding even continued fraction expansions. This article is the result of an {REU} study conducted by the first author under the direction of the second.},
journal = {0910.2872},
author = {Michael Gallaspy and Stanislav Jabuka},
month = oct,
year = {2009},
keywords = {{57M25,} {57N70,} Mathematics - Geometric Topology},
}
@article {MR2104597,
AUTHOR = {Gambaudo, Jean-Marc and Ghys, {\'E}tienne},
TITLE = {Commutators and diffeomorphisms of surfaces},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {24},
YEAR = {2004},
NUMBER = {5},
PAGES = {1591--1617},
ISSN = {0143-3857},
MRCLASS = {37E30 (20F28 37C05 57M60)},
MRNUMBER = {2104597 (2006d:37071)},
MRREVIEWER = {Martin J. Schmoll},
DOI = {10.1017/S0143385703000737},
URL = {http://dx.doi.org/10.1017/S0143385703000737},
}
@article {MR2233695,
AUTHOR = {Gambaudo, Jean-Marc and Ghys, {\'E}tienne},
TITLE = {Braids and signatures},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {133},
YEAR = {2005},
NUMBER = {4},
PAGES = {541--579},
ISSN = {0037-9484},
CODEN = {BSMFAA},
MRCLASS = {57M25 (11Z05 20F36 53D12)},
MRNUMBER = {MR2233695 (2007d:57014)},
MRREVIEWER = {Hans U. Boden},
}
@article {MR0179791,
AUTHOR = {Ganea, T.},
TITLE = {A generalization of the homology and homotopy suspension},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {39},
YEAR = {1965},
PAGES = {295--322},
ISSN = {0010-2571},
MRCLASS = {55.40},
MRNUMBER = {MR0179791 (31 \#4033)},
MRREVIEWER = {P. J. Hilton},
}
@book {MR0107649,
AUTHOR = {Gantmacher, F. R.},
TITLE = {The theory of matrices. {V}ols. 1, 2},
SERIES = {Translated by K. A. Hirsch},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1959},
PAGES = {Vol. 1, x+374 pp. Vol. 2, ix+276},
MRCLASS = {15.00 (65.00)},
MRNUMBER = {MR0107649 (21 \#6372c)},
}
@book {MR0107649app,
AUTHOR = {Gantmacher, F. R.},
TITLE = {Applications of the theory of matrices.},
SERIES = {Translated by K. A. Hirsch},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1959},
PAGES = {Vol. 1, x+374 pp. Vol. 2, ix+276},
MRCLASS = {15.00 (65.00)},
MRNUMBER = {MR0107649 (21 \#6372c)},
}
@article{../../papers/garoufalid,
title = {Does the Jones polynomial determine the signature of a knot?},
url = {http://arxiv.org/abs/math/0310203},
abstract = {The signature function of a knot is a locally constant integer valued function with domain the unit circle. The jumps (i.e., the discontinuities) of the signature function can occur only at the roots of the Alexander polynomial on the unit circle. The latter are important in deforming U(1) representations of knot groups to irreducible {SU(2)} representations. Under the assumption that these roots are simple, we formulate a conjecture that explicitly computes the jumps of the signature function in terms of the Jones polynomial of a knot and its parallels. As evidence, we prove our conjecture for torus knots, and also (using computer calculations) for knots with at most 8 crossings. We also give a formula for the jump function at simple roots in terms of relative signs of Alexander polynomials.},
journal = {math/0310203},
author = {Garoufalidis, Stavros},
month = oct,
year = {2003},
keywords ="Mathematics - Geometric Topology
}
@article {MR2005123,
AUTHOR = {Garoufalidis, Stavros and Kricker, Andrew},
TITLE = {A surgery view of boundary links},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {327},
YEAR = {2003},
NUMBER = {1},
PAGES = {103--115},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N10 (57M25)},
MRNUMBER = {MR2005123 (2004i:57025)},
MRREVIEWER = {Koya Shimokawa},
}
@article {MR2033481,
AUTHOR = {Garoufalidis, Stavros and Kricker, Andrew},
TITLE = {A rational noncommutative invariant of boundary links},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {8},
YEAR = {2004},
PAGES = {115--204 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57M27 (57M25 57N10)},
MRNUMBER = {MR2033481 (2005e:57039)},
MRREVIEWER = {Ruth Lawrence},
}
@article{math.GT/0206023,
title = {{On Knots with trivial Alexander polynomial}},
author = {Stavros Garoufalidis and Peter Teichner},
}
@article {MR0248801,
AUTHOR = {Garside, F. A.},
TITLE = {The braid group and other groups},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {20},
YEAR = {1969},
PAGES = {235--254},
ISSN = {0033-5606},
MRCLASS = {55.20},
MRNUMBER = {MR0248801 (40 \#2051)},
MRREVIEWER = {L. Neuwirth},
}
@book {MR837656,
AUTHOR = {Gauss, Carl Friedrich},
TITLE = {Disquisitiones arithmeticae},
NOTE = {Translated and with a preface by Arthur A. Clarke,
Revised by William C. Waterhouse, Cornelius Greither and A. W.
Grootendorst and with a preface by Waterhouse},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1986},
PAGES = {xx+472},
ISBN = {0-387-96254-9},
MRCLASS = {01A75 (01A55)},
MRNUMBER = {MR837656 (87f:01105)},
}
@techreport{gay_indefinite_2011,
type = {{arXiv} e-print},
title = {Indefinite Morse 2-functions; broken fibrations and generalizations},
url = {http://arxiv.org/abs/1102.0750},
abstract = {A Morse 2-function is a generic smooth map from a smooth manifold to a surface. In the absence of definite folds (in which case we say that the Morse 2-function is indefinite), these are natural generalizations of broken (Lefschetz) fibrations. We prove existence and uniqueness results for indefinite Morse 2-functions mapping to arbitrary compact, oriented surfaces. {"Uniqueness"} means there is a set of moves which are sufficient to go between two homotopic indefinite Morse 2-functions while remaining indefinite throughout. We extend the existence and uniqueness results to indefinite, Morse 2-functions with connected fibers.},
number = {1102.0750},
urldate = {2013-07-10},
author = {Gay, David T. and Kirby, Rob},
month = feb,
year = {2011},
keywords = {{57M50} (Primary) {57R17}, {57R45} (Secondary), Mathematics - Differential Geometry, Mathematics - Geometric Topology},
annote = {Comment: 71 pages, 39 figures; errors corrected, some exposition added,
other exposition improved, following referee's comments},
}
@article{gay_trisecting_2012,
title = {Trisecting 4-manifolds},
url = {http://arxiv.org/abs/1205.1565},
urldate = {2013-04-04},
journal = {{arXiv:1205.1565}},
author = {Gay, David T. and Kirby, Rob},
month = may,
year = {2012},
keywords = {{57M99} (Primary) {57R45} (Secondary),
Mathematics - Geometric Topology},
}
@article {MR1140607,
AUTHOR = {Geigle, Werner and Lenzing, Helmut},
TITLE = {Perpendicular categories with applications to representations
and sheaves},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {144},
YEAR = {1991},
NUMBER = {2},
PAGES = {273--343},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16D90 (16G20 18E10 18E30 18E35)},
MRNUMBER = {MR1140607 (93b:16011)},
MRREVIEWER = {Jeremy Rickard},
}
@article {MR0123085,
AUTHOR = {Gelfand, I. M.},
TITLE = {On elliptic equations},
JOURNAL = {Russian Math. Surveys},
FJOURNAL = {Russian Mathematical Surveys},
VOLUME = {15},
YEAR = {1960},
NUMBER = {3},
PAGES = {113--123},
ISSN = {0036-0279},
MRCLASS = {35.44},
MRNUMBER = {0123085 (23 \#A416)},
MRREVIEWER = {A. N. Milgram},
}
@article {MR0264652,
AUTHOR = {Gelfand, I. M. and Mishchenko, A. S.},
TITLE = {Quadratic forms over commutative group rings, and
{$K$}-theory},
JOURNAL = {Funkcional. Anal. i Prilo\v zen},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {3},
YEAR = {1969},
NUMBER = {4},
PAGES = {28--33},
ISSN = {0374-1990},
MRCLASS = {55.30 (20.00)},
MRNUMBER = {MR0264652 (41 \#9243)},
MRREVIEWER = {Joel M. Cohen},
}
@book {MR1264417,
AUTHOR = {Gelfand, I. M. and Kapranov, M. M. and Zelevinsky, A.
V.},
TITLE = {Discriminants, resultants, and multidimensional determinants},
SERIES = {Mathematics: Theory \& Applications},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1994},
PAGES = {x+523},
ISBN = {0-8176-3660-9},
MRCLASS = {14N05 (13D25 14M25 15A69 33C70 52B20)},
MRNUMBER = {1264417 (95e:14045)},
MRREVIEWER = {I. Dolgachev},
}
@book {MR1438306,
AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.},
TITLE = {Methods of homological algebra},
NOTE = {Translated from the 1988 Russian original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {xviii+372},
ISBN = {3-540-54746-0},
MRCLASS = {18-02 (18Exx 18Gxx 55U35)},
MRNUMBER = {MR1438306 (97j:18001)},
}
@article {MR0404392,
AUTHOR = {Dennis, R. Keith and Geller, Susan C.},
TITLE = {{$K\sb{i}$} of upper triangular matrix rings},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {56},
YEAR = {1976},
PAGES = {73--78},
ISSN = {0002-9939},
MRCLASS = {18F25},
MRNUMBER = {MR0404392 (53 \#8194)},
MRREVIEWER = {Jean-Louis Loday},
}
@article {MR1834929,
AUTHOR = {Gemein, Bernd},
TITLE = {Representations of the singular braid monoid and group
invariants of singular knots},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {114},
YEAR = {2001},
NUMBER = {2},
PAGES = {117--140},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57M27 (20F36 57M05 57M25)},
MRNUMBER = {1834929 (2002f:57026)},
DOI = {10.1016/S0166-8641(00)00036-5},
URL = {http://dx.doi.org/10.1016/S0166-8641(00)00036-5},
}
@article {ross,
AUTHOR = {Geoghegan, Ross},
TITLE = {Topological methods in group theory},
}
@article {MR682906,
AUTHOR = {Gerasimov, V. N.},
TITLE = {Localization in associative rings},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {23},
YEAR = {1982},
NUMBER = {6},
PAGES = {36--54, 205},
ISSN = {0037-4474},
MRCLASS = {16A08 (16A06)},
MRNUMBER = {682906 (84a:16004)},
MRREVIEWER = {J. Jir{\'a}sko},
}
@article {MR0169875,
AUTHOR = {Gersten, S. M.},
TITLE = {Whitehead groups of free associative algebras},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {71},
YEAR = {1965},
PAGES = {157--159},
MRCLASS = {16.48 (18.20)},
MRNUMBER = {MR0169875 (30 \#118)},
MRREVIEWER = {I. Reiner},
}
@article {MR0224655,
AUTHOR = {Gersten, S. M.},
TITLE = {On class groups of free products},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {392--398},
ISSN = {0003-486X},
MRCLASS = {16.50},
MRNUMBER = {MR0224655 (37 \#254)},
MRREVIEWER = {M. Pavaman Murthy},
}
@article {MR0299657,
AUTHOR = {Gersten, S. M.},
TITLE = {On the spectrum of algebraic {$K$}-theory},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {78},
YEAR = {1972},
PAGES = {216--219},
MRCLASS = {18F25 (16A54)},
MRNUMBER = {MR0299657 (45 \#8705)},
MRREVIEWER = {J.-P. Jouanolou},
}
@book {MR919826,
TITLE = {Essays in group theory},
SERIES = {Mathematical Sciences Research Institute Publications},
VOLUME = {8},
AUTHOR = {Gersten, S. M.},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1987},
PAGES = {vi+342},
ISBN = {0-387-96618-8},
MRCLASS = {20-06 (20Fxx 57-06)},
MRNUMBER = {919826 (88e:20004)},
}
@book {MR2273508,
AUTHOR = {Berline, Nicole and Getzler, Ezra and Vergne, Mich{\`e}le},
TITLE = {Heat kernels and {D}irac operators},
SERIES = {Grundlehren Text Editions},
NOTE = {Corrected reprint of the 1992 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {x+363},
ISBN = {3-540-20062-2},
MRCLASS = {58J35 (35K05 35Q40 47G30 58J60)},
MRNUMBER = {MR2273508 (2007m:58033)},
}
@article {MR836727,
AUTHOR = {Getzler, Ezra},
TITLE = {A short proof of the local {A}tiyah-{S}inger index theorem},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {25},
YEAR = {1986},
NUMBER = {1},
PAGES = {111--117},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58G10},
MRNUMBER = {836727 (87h:58207)},
MRREVIEWER = {J{\'o}zef Dodziuk},
DOI = {10.1016/0040-9383(86)90008-X},
URL = {http://dx.doi.org/10.1016/0040-9383(86)90008-X},
}
@article {MR2358377,
AUTHOR = {Ghrist, Robert},
TITLE = {Barcodes: the persistent topology of data},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {45},
YEAR = {2008},
NUMBER = {1},
PAGES = {61--75},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {55N35 (62H35 94A08 94A12)},
MRNUMBER = {2358377 (2008i:55007)},
DOI = {10.1090/S0273-0979-07-01191-3},
URL = {http://dx.doi.org/10.1090/S0273-0979-07-01191-3},
}
@article{bobbar,
AUTHOR = {Baryshnikov, Y. and Ghrist, Robert},
TITLE = {Target enumeration and Euler characteristic integrals},
}
@article{bobeat,
AUTHOR = {Ghrist, Robert},
TITLE = {Elementary applied algebraic topology},
}
@article{bobvin,
AUTHOR = {V. de Silva and Ghrist, Robert},
TITLE = {Coordinate-free coverage in sensor networks with controlled boundaries via homology},
JOURNAL = {International Journal of Robotics Research},
}
@article{curry_euler_2012,
title = {Euler Calculus with Applications to Signals and Sensing},
url = {http://arxiv.org/abs/1202.0275},
abstract = {This article surveys the Euler calculus - an integral calculus based on Euler characteristic - and its applications to data, sensing, networks, and imaging.},
urldate = {2013-02-18},
journal = {{arXiv:1202.0275}},
author = {Curry, Justin and Ghrist, Robert and Robinson, Michael},
month = jan,
year = {2012},
keywords = {{65R10}, {58C35}, Mathematics - Algebraic Topology},
}
@article {MR1183404,
AUTHOR = {Barge, Jean and Ghys, {\'E}tienne},
TITLE = {Cocycles d'{E}uler et de {M}aslov},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {294},
YEAR = {1992},
NUMBER = {2},
PAGES = {235--265},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {55U99 (11F20 57R20)},
MRNUMBER = {MR1183404 (95b:55021)},
MRREVIEWER = {V. P. Snaith},
}
@article {MR2104597,
AUTHOR = {Gambaudo, Jean-Marc and Ghys, {\'E}tienne},
TITLE = {Commutators and diffeomorphisms of surfaces},
JOURNAL = {Ergodic Theory Dynam. Systems},
FJOURNAL = {Ergodic Theory and Dynamical Systems},
VOLUME = {24},
YEAR = {2004},
NUMBER = {5},
PAGES = {1591--1617},
ISSN = {0143-3857},
MRCLASS = {37E30 (20F28 37C05 57M60)},
MRNUMBER = {2104597 (2006d:37071)},
MRREVIEWER = {Martin J. Schmoll},
DOI = {10.1017/S0143385703000737},
URL = {http://dx.doi.org/10.1017/S0143385703000737},
}
@article {MR2233695,
AUTHOR = {Gambaudo, Jean-Marc and Ghys, {\'E}tienne},
TITLE = {Braids and signatures},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {133},
YEAR = {2005},
NUMBER = {4},
PAGES = {541--579},
ISSN = {0037-9484},
CODEN = {BSMFAA},
MRCLASS = {57M25 (11Z05 20F36 53D12)},
MRNUMBER = {MR2233695 (2007d:57014)},
MRREVIEWER = {Hans U. Boden},
}
@article {CHAMGIBB,
AUTHOR = {Chamblin, A. and Gibbons, G. W.},
TITLE = {Topology and time reversal},
YEAR = {1995},
}
@article {MR1178148,
AUTHOR = {Gibbons, G. W. and Hawking, S. W.},
TITLE = {Selection rules for topology change},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {148},
YEAR = {1992},
NUMBER = {2},
PAGES = {345--352},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57R15 (57R20 83C99)},
MRNUMBER = {MR1178148 (94c:57042)},
MRREVIEWER = {Elmer G. Rees},
}
@article {MR1181660,
AUTHOR = {Gibbons, G. W. and Hawking, S. W.},
TITLE = {Kinks and topology change},
JOURNAL = {Phys. Rev. Lett.},
FJOURNAL = {Physical Review Letters},
VOLUME = {69},
YEAR = {1992},
NUMBER = {12},
PAGES = {1719--1721},
ISSN = {0031-9007},
CODEN = {PRLTAO},
MRCLASS = {83E05 (57R15 83C99)},
MRNUMBER = {MR1181660 (93f:83076)},
}
@book {MR2722281,
AUTHOR = {Giblin, Peter},
TITLE = {Graphs, surfaces and homology},
EDITION = {Third},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2010},
PAGES = {xx+251},
ISBN = {978-0-521-15405-5},
MRCLASS = {55-01 (05C10 57-01 57M15)},
MRNUMBER = {2722281},
}
@article {MR0424684,
AUTHOR = {Giffen, Charles H.},
TITLE = {Hasse-{W}itt invariants for {$(\alpha ,u)$}-reflexive forms
and automorphisms. {I}. {A}lgebraic {$K_{2}$}-valued
{H}asse-{W}itt invariants},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {44},
YEAR = {1977},
NUMBER = {2},
PAGES = {434--456},
ISSN = {0021-8693},
MRCLASS = {10C05},
MRNUMBER = {0424684 (54 \#12643)},
MRREVIEWER = {Chih-Han Sah},
}
@article {MR0506031,
AUTHOR = {Giffen, Charles H.},
TITLE = {Hermitian forms and higher algebraic {$K$}-theory},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {83},
YEAR = {1977},
NUMBER = {6},
PAGES = {1303--1305},
ISSN = {0002-9904},
MRCLASS = {10C05 (18F25 57D65)},
MRNUMBER = {0506031 (58 \#21937)},
MRREVIEWER = {L. N. Vaserstein},
}
@book {MR1337498,
AUTHOR = {Gilbert, N. D. and Porter, T.},
TITLE = {Knots and surfaces},
SERIES = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xii+268},
ISBN = {0-19-853397-7},
MRCLASS = {57M25 (57-01)},
MRNUMBER = {MR1337498 (96f:57004)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@book {MR0458504,
AUTHOR = {Gilkey, Peter B.},
TITLE = {The index theorem and the heat equation},
NOTE = {Notes by Jon Sacks,
Mathematics Lecture Series, No. 4},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1974},
PAGES = {iv+125},
MRCLASS = {58G10},
MRNUMBER = {MR0458504 (56 \#16704)},
MRREVIEWER = {Harold Donnelly},
}
@article {MR1694601,
AUTHOR = {Gilkey, Peter B.},
TITLE = {The eta invariant of {P}in manifolds with cyclic fundamental
groups},
JOURNAL = {Period. Math. Hungar.},
FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai
Mathematical Society},
VOLUME = {36},
YEAR = {1998},
NUMBER = {2-3},
PAGES = {139--170},
ISSN = {0031-5303},
CODEN = {PMHGAW},
MRCLASS = {58J28 (53C27 55R40 57R15)},
MRNUMBER = {MR1694601 (2001a:58034)},
MRREVIEWER = {Andrew J. Baker},
DOI = {10.1023/A:1004629725347},
URL = {http://dx.doi.org/10.1023/A:1004629725347},
}
@incollection {MR1736856,
AUTHOR = {Gilkey, Peter B.},
TITLE = {The {A}tiyah-{S}inger index theorem},
BOOKTITLE = {Handbook of differential geometry, {V}ol. {I}},
PAGES = {709--746},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2000},
MRCLASS = {58J20 (19K56 58J10)},
MRNUMBER = {MR1736856 (2000k:58030)},
MRREVIEWER = {Kenji Tsuboi},
DOI = {10.1016/S1874-5741(00)80008-4},
URL = {http://dx.doi.org/10.1016/S1874-5741(00)80008-4},
}
@article {MR746537,
AUTHOR = {Gilkey, Peter B.},
TITLE = {The eta invariant and the {$K$}-theory of odd-dimensional
spherical space forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {76},
YEAR = {1984},
NUMBER = {3},
PAGES = {421--453},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {58G10 (57R19 58G05 58G40)},
MRNUMBER = {MR746537 (85m:58169)},
MRREVIEWER = {Luis Astey},
DOI = {10.1007/BF01388468},
URL = {http://dx.doi.org/10.1007/BF01388468},
}
@article {MR879934,
AUTHOR = {Gilkey, Peter B.},
TITLE = {The eta invariant and {$\~K {\rm O}$} of lens spaces},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {194},
YEAR = {1987},
NUMBER = {3},
PAGES = {309--320},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55M15 (57S25)},
MRNUMBER = {MR879934 (88b:55002)},
MRREVIEWER = {R. E. Stong},
DOI = {10.1007/BF01162239},
URL = {http://dx.doi.org/10.1007/BF01162239},
}
@article {MR624666,
AUTHOR = {Gillet, Henri},
TITLE = {Riemann-{R}och theorems for higher algebraic {$K$}-theory},
JOURNAL = {Adv. in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {40},
YEAR = {1981},
NUMBER = {3},
PAGES = {203--289},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {14F15 (14C35 14F12 18F25 55N15)},
MRNUMBER = {MR624666 (83m:14013)},
MRREVIEWER = {Daniel R. Grayson},
}
@article {MR909784,
AUTHOR = {Gillet, Henri and Grayson, Daniel R.},
TITLE = {The loop space of the {$Q$}-construction},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {31},
YEAR = {1987},
NUMBER = {4},
PAGES = {574--597},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {18F25 (19D06)},
MRNUMBER = {MR909784 (89h:18012)},
MRREVIEWER = {A. J. Berrick},
}
@article {MR1201199,
AUTHOR = {Gilmer, Patrick},
TITLE = {Classical knot and link concordance},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {68},
YEAR = {1993},
NUMBER = {1},
PAGES = {1--19},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25},
MRNUMBER = {MR1201199 (94c:57007)},
MRREVIEWER = {Charles Livingston},
}
@article {MR656619,
AUTHOR = {Gilmer, Patrick},
TITLE = {On the slice genus of knots},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {66},
YEAR = {1982},
NUMBER = {2},
PAGES = {191--197},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57M25},
MRNUMBER = {MR656619 (83g:57003)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR711523,
AUTHOR = {Gilmer, Patrick},
TITLE = {Slice knots in {$S\sp{3}$}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {34},
YEAR = {1983},
NUMBER = {135},
PAGES = {305--322},
ISSN = {0033-5606},
CODEN = {QJMAAT},
MRCLASS = {57M25 (57Q60)},
MRNUMBER = {MR711523 (85d:57004)},
MRREVIEWER = {Cameron McA. Gordon},
}
@article{gilmer_maslov_2009,
title = {Maslov index, Lagrangians, Mapping Class Groups and {TQFT}},
url = {http://arxiv.org/abs/0912.4706},
abstract = {Given a mapping class f of an oriented surface Sigma and a lagrangian lambda in the first homology of Sigma, we define an integer n\_{lambda}(f) modulo 4. We use n\_{lambda}(f) to describe a universal central extension of the mapping class group of Sigma as an index-four subgroup of the extension constructed from the Maslov index of triples of lagrangian subspaces in the homology of the surface. We give two formulas for n\_{lambda}(f). One is topological using surgery, the other is homological and builds on work of Turaev and work of Walker. Some applications to {TQFT} are discussed. They are based on the fact that our construction allows one to precisely describe how the phase factors that arise in the skein theory approach to {TQFT-representations} of the mapping class group depend on the choice of a lagrangian for the surface.},
journal = {0912.4706},
author = {Patrick Gilmer and Masbaum, G.},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@article {MR0180985,
AUTHOR = {Gitler, Samuel and Stasheff, James D.},
TITLE = {The first exotic class of {$BF$}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {4},
YEAR = {1965},
PAGES = {257--266},
ISSN = {0040-9383},
MRCLASS = {57.32 (57.30)},
MRNUMBER = {MR0180985 (31 \#5215)},
MRREVIEWER = {R. K. Lashof},
}
@article {glaser1,
AUTHOR = {Glaser, L.},
TITLE = {Geometrical combinatorial topology I.},
}
@article {glaser2,
AUTHOR = {Glaser, L.},
TITLE = {Geometrical combinatorial topology II.},
}
@article {MR2588613,
AUTHOR = {DeTurck, D. and Gluck, H.},
TITLE = {Linking integrals in the {$n$}-sphere},
JOURNAL = {Mat. Contemp.},
FJOURNAL = {Matem\'atica Contempor\^anea},
VOLUME = {34},
YEAR = {2008},
PAGES = {239--249},
ISSN = {0103-9059},
MRCLASS = {57Q45 (53A04 57M25)},
MRNUMBER = {2588613 (2011b:57030)},
MRREVIEWER = {A. P. Stone},
}
@article {MR0146810,
AUTHOR = {Gluck, Herman},
TITLE = {Orientable surfaces in four-space},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {67},
YEAR = {1961},
PAGES = {590--592},
ISSN = {0002-9904},
MRCLASS = {54.78},
MRNUMBER = {0146810 (26 \#4330)},
MRREVIEWER = {L. K. Barrett},
}
@article {MR1809259,
AUTHOR = {Cantarella, Jason and DeTurck, Dennis and Gluck, Herman},
TITLE = {The {B}iot-{S}avart operator for application to knot theory,
fluid dynamics, and plasma physics},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {42},
YEAR = {2001},
NUMBER = {2},
PAGES = {876--905},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {78A25 (57M25 76W05)},
MRNUMBER = {1809259 (2002e:78002)},
MRREVIEWER = {Zensho Yoshida},
DOI = {10.1063/1.1329659},
URL = {http://dx.doi.org/10.1063/1.1329659},
}
@article {MR2392864,
AUTHOR = {DeTurck, Dennis and Gluck, Herman},
TITLE = {Electrodynamics and the {G}auss linking integral on the
3-sphere and in hyperbolic 3-space},
JOURNAL = {J. Math. Phys.},
FJOURNAL = {Journal of Mathematical Physics},
VOLUME = {49},
YEAR = {2008},
NUMBER = {2},
PAGES = {023504, 35},
ISSN = {0022-2488},
CODEN = {JMAPAQ},
MRCLASS = {53C80 (78A35)},
MRNUMBER = {2392864 (2008m:53183)},
MRREVIEWER = {A. P. Stone},
DOI = {10.1063/1.2827467},
URL = {http://dx.doi.org/10.1063/1.2827467},
}
@article {MR3031861,
AUTHOR = {DeTurck, Dennis and Gluck, Herman},
TITLE = {Linking, twisting, writhing, and helicity on the 3-sphere and
in hyperbolic 3-space},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {94},
YEAR = {2013},
NUMBER = {1},
PAGES = {87--128},
ISSN = {0022-040X},
MRCLASS = {57M25 (53A04)},
MRNUMBER = {3031861},
URL = {http://projecteuclid.org/euclid.jdg/1361889062},
}
@article {MR2130565,
AUTHOR = {Goda, Hiroshi and Kitano, Teruaki and Morifuji, Takayuki},
TITLE = {Reidemeister torsion, twisted {A}lexander polynomial and
fibered knots},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
Mathematical Society},
VOLUME = {80},
YEAR = {2005},
NUMBER = {1},
PAGES = {51--61},
ISSN = {0010-2571},
MRCLASS = {57M25 (57M05 57Q10)},
MRNUMBER = {MR2130565 (2005m:57008)},
MRREVIEWER = {Charles Livingston},
}
@article{math.GT/0312374,
title = {{Twisted Novikov homology and circle-valued Morse theory for
knots and links}},
author = {Hiroshi Goda and A.V. Pajitnov},
eprint = {arXiv:math.GT/0312374},
}
@article{math.GT/07093153,
title = {{Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows}},
author = {Hiroshi Goda and Hiroshi Matsuda and A.V. Pajitnov},
eprint = {arXiv:math.GT/0709.3153},
}
@article {MR1507011,
AUTHOR = {Goeritz, Lebrecht},
TITLE = {Die {B}etti'schen {Z}ahlen {D}er {Z}yklischen
{U}berlagerungsraume {D}er {K}notenaussenraume},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {56},
YEAR = {1934},
NUMBER = {1-4},
PAGES = {194--198},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1507011},
DOI = {10.2307/2370923},
URL = {http://dx.doi.org/10.2307/2370923},
}
@article {MR1545364,
AUTHOR = {Goeritz, Lebrecht},
TITLE = {Knoten und quadratische {F}ormen},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {36},
YEAR = {1933},
NUMBER = {1},
PAGES = {647--654},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1545364},
}
@article{goette_computations_2010,
title = {Computations and Applications of eta invariants},
url = {http://arxiv.org/abs/1011.4766},
abstract = {We give a survey on eta invariants including methods of computation and applications in differential topology.},
journal = {1011.4766},
author = {Sebastian Goette},
month = nov,
year = {2010},
keywords = {{58J28} (primary) {57R20} (secondary), Mathematics - Differential Geometry},
}
@article {MR0113114,
AUTHOR = {Gohberg, I. C. and Kre{\u\i}n, M. G.},
TITLE = {Systems of integral equations on a half line with kernels
depending on the difference of arguments},
JOURNAL = {Amer. Math. Soc. Transl. (2)},
FJOURNAL = {American Mathematical Society Translations},
VOLUME = {14},
YEAR = {1960},
PAGES = {217--287},
ISSN = {0065-9290},
MRCLASS = {45.00},
MRNUMBER = {0113114 (22 \#3954)},
}
@proceedings {MR1215954,
TITLE = {Topological methods in modern mathematics},
BOOKTITLE = {Proceedings of the symposium in honor of {J}ohn {M}ilnor's
sixtieth birthday held at the {S}tate {U}niversity of {N}ew
{Y}ork, {S}tony {B}rook, {N}ew {Y}ork, {J}une 14--21, 1991},
AUTHOR = {Goldberg, Lisa R. and Phillips, Anthony V.},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Houston, TX},
YEAR = {1993},
PAGES = {xxii+566},
MRCLASS = {00B30 (00B25 55-06 57-06 58-06)},
MRNUMBER = {1215954 (93k:00043)},
}
@article{goldcarl,
AUTHOR = {Carlsson, Gunnar and Goldfarb, Boris},
TITLE = {Bounded K-theory of exact categories},
}
@incollection {MR0380766,
AUTHOR = {Goldsmith, Deborah L.},
TITLE = {Symmetric fibered links},
BOOKTITLE = {Knots, groups, and {$3$}-manifolds ({P}apers dedicated to the
memory of {R}. {H}. {F}ox)},
PAGES = {3--23. Ann. of Math. Studies, No. 84},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1975},
MRCLASS = {55A10},
MRNUMBER = {MR0380766 (52 \#1663)},
MRREVIEWER = {J. S. Birman},
}
@article {MR487047,
AUTHOR = {Goldsmith, Deborah L. and Kauffman, Louis},
TITLE = {Twist spinning revisited},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {239},
YEAR = {1978},
PAGES = {229--251},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {487047 (81f:57016)},
DOI = {10.2307/1997855},
URL = {http://dx.doi.org/10.2307/1997855},
}
@book {MR0341518,
AUTHOR = {Golubitsky, M. and Guillemin, Victor},
TITLE = {Stable mappings and their singularities},
NOTE = {Graduate Texts in Mathematics, Vol. 14},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {x+209},
MRCLASS = {58C25},
MRNUMBER = {MR0341518 (49 \#6269)},
MRREVIEWER = {G. R. Belickii},
}
@article {MR1133261,
AUTHOR = {Freed, Daniel S. and Gompf, Robert E.},
TITLE = {Computer calculation of {W}itten's {$3$}-manifold invariant},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {141},
YEAR = {1991},
NUMBER = {1},
PAGES = {79--117},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57N10 (11L03 57M25 58D30 58G26 81T13 81T40)},
MRNUMBER = {MR1133261 (93d:57027)},
MRREVIEWER = {Ronald J. Stern},
}
@book {MR1707327,
AUTHOR = {Gompf, Robert E. and Stipsicz, Andr{\'a}s I.},
TITLE = {{$4$}-manifolds and {K}irby calculus},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {20},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {xvi+558},
ISBN = {0-8218-0994-6},
MRCLASS = {57N13 (14J80 32Q55 57-02 57R17 57R57 57R65)},
MRNUMBER = {MR1707327 (2000h:57038)},
MRREVIEWER = {Nikolai N. Saveliev},
}
@article {MR2852978,
AUTHOR = {Calcut, Jack and Gompf, Robert E. and McCarthy, John D.},
TITLE = {On fundamental groups of quotient spaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {159},
YEAR = {2012},
NUMBER = {1},
PAGES = {322--330},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {55Q05 (54B15)},
MRNUMBER = {2852978 (2012j:55015)},
MRREVIEWER = {Fabio Ferrari Ruffino},
DOI = {10.1016/j.topol.2011.09.038},
URL = {http://dx.doi.org/10.1016/j.topol.2011.09.038},
}
@article{gonzalez-diaz_simplification_2011,
title = {Simplification Techniques for Maps in Simplicial Topology},
url = {http://arxiv.org/abs/1105.5502},
doi = {doi:10.1016/j.jsc.2004.04.008},
abstract = {This paper offers an algorithmic solution to the problem of obtaining "economical" formulae for some maps in Simplicial Topology, having, in principle, a high computational cost in their evaluation. In particular, maps of this kind are used for defining cohomology operations at the cochain level. As an example, we obtain explicit combinatorial descriptions of Steenrod k-th powers exclusively in terms of face operators.},
journal = {1105.5502},
author = {Rocio Gonzalez-Diaz and Pedro Real},
month = may,
year = {2011},
note = {Journal of symbolic computation, Vol. 40, 4, 2005, 1208-1224},
keywords = {Mathematics - Algebraic Topology},
}
@article {MR1063821,
AUTHOR = {Navarro Gonz{\'a}lez, Juan Antonio},
TITLE = {Duality and finite spaces},
JOURNAL = {Order},
FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
Applications},
VOLUME = {6},
YEAR = {1990},
NUMBER = {4},
PAGES = {401--408},
ISSN = {0167-8094},
CODEN = {ORDRE5},
MRCLASS = {18F20 (06A09 54B30 55N30 55U30)},
MRNUMBER = {MR1063821 (91i:18001)},
MRREVIEWER = {Peter Johnstone},
}
@article{MRARA,
AUTHOR = {Ara, Pere and Gonz{\'a}lez-Barroso, M. A. and Goodearl, K. R.
and Pardo, E.},
TITLE = {Fractional skew monoid rings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {278},
YEAR = {2004},
NUMBER = {1},
PAGES = {104--126},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16S36 (16S35 16W22)},
MRNUMBER = {MR2068068 (2005f:16042)},
MRREVIEWER = {Kenneth A. Brown},
}
@article {MR1700539,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {A combinatorial method for computing {S}teenrod squares},
NOTE = {Effective methods in algebraic geometry (Saint-Malo, 1998)},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {139},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {89--108},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {55N45 (55S10 55U10 55U15)},
MRNUMBER = {MR1700539 (2000i:55024)},
MRREVIEWER = {Kalathoor Varadarajan},
}
@incollection {MR1729622,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {Computing cocycles on simplicial complexes},
BOOKTITLE = {Computer algebra in scientific computing---{CASC}'99
({M}unich)},
PAGES = {177--190},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {55S05 (55-04)},
MRNUMBER = {MR1729622 (2001a:55014)},
}
@article {MR1994941,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {Computation of cohomology operations of finite simplicial
complexes},
NOTE = {Algebraic topological methods in computer science (Stanford,
CA, 2001)},
JOURNAL = {Homology Homotopy Appl.},
FJOURNAL = {Homology, Homotopy and Applications},
VOLUME = {5},
YEAR = {2003},
NUMBER = {2},
PAGES = {83--93 (electronic)},
ISSN = {1512-0139},
MRCLASS = {55S05 (55U10)},
MRNUMBER = {MR1994941 (2004f:55006)},
MRREVIEWER = {Godofredo Iommi Amun{\'a}tegui},
}
@article {MR0039372,
AUTHOR = {Good, I. J.},
TITLE = {On the inversion of circulant matrices},
JOURNAL = {Biometrika},
FJOURNAL = {Biometrika},
VOLUME = {37},
YEAR = {1950},
PAGES = {185--186},
ISSN = {0006-3444},
MRCLASS = {65.0X},
MRNUMBER = {MR0039372 (12,538e)},
MRREVIEWER = {H. Polachek},
}
@article{MRARA,
AUTHOR = {Ara, Pere and Gonz{\'a}lez-Barroso, M. A. and Goodearl, K. R.
and Pardo, E.},
TITLE = {Fractional skew monoid rings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {278},
YEAR = {2004},
NUMBER = {1},
PAGES = {104--126},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16S36 (16S35 16W22)},
MRNUMBER = {MR2068068 (2005f:16042)},
MRREVIEWER = {Kenneth A. Brown},
}
@book {MR1730156,
TITLE = {Handbook of discrete and computational geometry},
SERIES = {CRC Press Series on Discrete Mathematics and its Applications},
AUTHOR = {Goodman, Jacob E. and O'Rourke, Joseph},
PUBLISHER = {CRC Press},
ADDRESS = {Boca Raton, FL},
YEAR = {1997},
PAGES = {xvi+991},
ISBN = {0-8493-8524-5},
MRCLASS = {52-00 (00A20 65-00 65D17 65D18 65Y20 68U05)},
MRNUMBER = {1730156 (2000j:52001)},
MRREVIEWER = {Bert J{\"u}ttler},
}
@book {MR2522486,
AUTHOR = {Goodman, Roe and Wallach, Nolan R.},
TITLE = {Symmetry, representations, and invariants},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {255},
PUBLISHER = {Springer},
ADDRESS = {Dordrecht},
YEAR = {2009},
PAGES = {xx+716},
ISBN = {978-0-387-79851-6},
MRCLASS = {20G05 (14L35 17B10 20C30 20G20 22E46)},
MRNUMBER = {MR2522486},
DOI = {10.1007/978-0-387-79852-3},
URL = {http://dx.doi.org/10.1007/978-0-387-79852-3},
}
@article {MR0375282,
AUTHOR = {Conway, J. H. and Gordon, C. McA.},
TITLE = {A group to classify knots},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {7},
YEAR = {1975},
PAGES = {84--86},
ISSN = {0024-6093},
MRCLASS = {55A25},
MRNUMBER = {MR0375282 (51 \#11478)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0500905,
AUTHOR = {Gordon, C. McA. and Litherland, R. A.},
TITLE = {On the signature of a link},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {47},
YEAR = {1978},
NUMBER = {1},
PAGES = {53--69},
ISSN = {0020-9910},
MRCLASS = {55A25},
MRNUMBER = {MR0500905 (58 \#18407)},
MRREVIEWER = {Wilbur Whitten},
}
@incollection {MR520521,
AUTHOR = {Casson, Andrew and Gordon, C. McA.},
TITLE = {On slice knots in dimension three},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {39--53},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57M25},
MRNUMBER = {MR520521 (81g:57003)},
}
@incollection {MR521730,
AUTHOR = {Gordon, C. McA.},
TITLE = {Some aspects of classical knot theory},
BOOKTITLE = {Knot theory (Proc. Sem., Plans-sur-Bex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {1--60},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57M25},
MRNUMBER = {MR521730 (80f:57002)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR617628,
AUTHOR = {Gordon, C. McA. and Litherland, R. A. and Murasugi, Kunio},
TITLE = {Signatures of covering links},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {33},
YEAR = {1981},
NUMBER = {2},
PAGES = {381--394},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57M25},
MRNUMBER = {MR617628 (83a:57006)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR900251,
AUTHOR = {Gordon, C. McA.},
TITLE = {On the {$G$}-signature theorem in dimension four},
BOOKTITLE = {\`A la recherche de la topologie perdue},
SERIES = {Progr. Math.},
VOLUME = {62},
PAGES = {159--180},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1986},
MRCLASS = {58G10 (57S17)},
MRNUMBER = {MR900251},
}
@incollection {MR900252,
AUTHOR = {Casson, Andrew and Gordon, C. McA.},
TITLE = {Cobordism of classical knots},
BOOKTITLE = {\`A la recherche de la topologie perdue},
SERIES = {Progr. Math.},
VOLUME = {62},
PAGES = {181--199},
NOTE = {With an appendix by P. M. Gilmer},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1986},
MRCLASS = {57R90 (57M25)},
MRNUMBER = {MR900252},
}
@article {MR572580,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Intersection homology theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {19},
YEAR = {1980},
NUMBER = {2},
PAGES = {135--162},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N65 (55N45)},
MRNUMBER = {572580 (82b:57010)},
MRREVIEWER = {Laurence R. Taylor},
DOI = {10.1016/0040-9383(80)90003-8},
URL = {http://dx.doi.org/10.1016/0040-9383(80)90003-8},
}
@incollection {MR645745,
AUTHOR = {Cheeger, Jeff and Goresky, Mark and MacPherson, Robert},
TITLE = {{$L\sp{2}$}-cohomology and intersection homology of singular
algebraic varieties},
BOOKTITLE = {Seminar on {D}ifferential {G}eometry},
SERIES = {Ann. of Math. Stud.},
VOLUME = {102},
PAGES = {303--340},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1982},
MRCLASS = {58A14 (32J25 55N35 58A35)},
MRNUMBER = {MR645745 (84f:58005)},
MRREVIEWER = {Steven M. Zucker},
}
@article {MR696691,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Intersection homology. {II}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {72},
YEAR = {1983},
NUMBER = {1},
PAGES = {77--129},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57N80 (14F10 32C37 55N30)},
MRNUMBER = {696691 (84i:57012)},
MRREVIEWER = {Laurence R. Taylor},
DOI = {10.1007/BF01389130},
URL = {http://dx.doi.org/10.1007/BF01389130},
}
@article {MR699009,
AUTHOR = {Goresky, Mark and Siegel, Paul},
TITLE = {Linking pairings on singular spaces},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {96--110},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {55N45 (32C37 58A35)},
MRNUMBER = {MR699009 (84h:55004)},
MRREVIEWER = {J. W. Vick},
}
@book {MR932724,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Stratified {M}orse theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
in Mathematics and Related Areas (3)]},
VOLUME = {14},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1988},
PAGES = {xiv+272},
ISBN = {3-540-17300-5},
MRCLASS = {57R70 (14F45 32C10 32C42 57N80 58A35 58C27)},
MRNUMBER = {MR932724 (90d:57039)},
MRREVIEWER = {K. Lamotke},
}
@article {MR1091832,
AUTHOR = {de Gosson, Maurice},
TITLE = {Maslov indices on the metaplectic group {${\rm Mp}(n)$}},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {40},
YEAR = {1990},
NUMBER = {3},
PAGES = {537--555},
ISSN = {0373-0956},
CODEN = {AIFUA7},
MRCLASS = {22E46 (22D10 47N99 57R20 58F06)},
MRNUMBER = {MR1091832 (92e:22027)},
MRREVIEWER = {P. L. Robinson},
}
@article {MR1191584,
AUTHOR = {de Gosson, Maurice},
TITLE = {The structure of {$q$}-symplectic geometry},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {71},
YEAR = {1992},
NUMBER = {5},
PAGES = {429--453},
ISSN = {0021-7824},
CODEN = {JMPAAM},
MRCLASS = {58F05 (58F06)},
MRNUMBER = {MR1191584 (94e:58042)},
MRREVIEWER = {J. S. Joel},
}
@book {MR1897416,
AUTHOR = {de Gosson, Maurice},
TITLE = {The principles of {N}ewtonian and quantum mechanics},
NOTE = {The need for Planck's constant, $h$,
With a foreword by Basil Hiley},
PUBLISHER = {Imperial College Press},
ADDRESS = {London},
YEAR = {2001},
PAGES = {xxiv+357},
ISBN = {1-86094-274-1},
MRCLASS = {81-02 (22E70 53D05 53D12 70H05)},
MRNUMBER = {MR1897416 (2003k:81004)},
MRREVIEWER = {Ra{\'u}l Ib{\'a}{\~n}ez},
}
@book {MR2241188,
AUTHOR = {de Gosson, Maurice},
TITLE = {Symplectic geometry and quantum mechanics},
SERIES = {Operator Theory: Advances and Applications},
VOLUME = {166},
NOTE = {Advances in Partial Differential Equations (Basel)},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2006},
PAGES = {xx+367},
ISBN = {978-3-7643-7574-4; 3-7643-7574-4},
MRCLASS = {81S10 (53D05 53D12 81Q20)},
MRNUMBER = {MR2241188 (2007e:81050)},
MRREVIEWER = {Brian C. Hall},
}
@article {MR2531557,
AUTHOR = {de Gosson, Maurice},
TITLE = {On the usefulness of an index due to {L}eray for studying the
intersections of {L}agrangian and symplectic paths},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {91},
YEAR = {2009},
NUMBER = {6},
PAGES = {598--613},
ISSN = {0021-7824},
CODEN = {JMPAAM},
MRCLASS = {53D12 (37J05 53D35 81S30)},
MRNUMBER = {MR2531557},
DOI = {10.1016/j.matpur.2009.04.004},
URL = {http://dx.doi.org/10.1016/j.matpur.2009.04.004},
}
@article {MR0436144,
AUTHOR = {Casson, Andrew and Gottlieb, Daniel Henry},
TITLE = {Fibrations with compact fibres},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {99},
YEAR = {1977},
NUMBER = {1},
PAGES = {159--189},
ISSN = {0002-9327},
MRCLASS = {55F99},
MRNUMBER = {MR0436144 (55 \#9094)},
MRREVIEWER = {David Handel},
}
@article {MR1390575,
AUTHOR = {Gottlieb, Daniel Henry},
TITLE = {All the way with {G}auss-{B}onnet and the sociology of
mathematics},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {103},
YEAR = {1996},
NUMBER = {6},
PAGES = {457--469},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {53-03 (01A55 01A60 01A80 57R20)},
MRNUMBER = {MR1390575 (97c:53002)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}
@article {MR534407,
AUTHOR = {Gottlieb, Daniel Henry},
TITLE = {Poincar\'e duality and fibrations},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {76},
YEAR = {1979},
NUMBER = {1},
PAGES = {148--150},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57P10 (55R05)},
MRNUMBER = {MR534407 (81a:57017)},
MRREVIEWER = {Frank Quinn},
}
@book {MR2467561,
TITLE = {The {P}rinceton companion to mathematics},
AUTHOR = {Gowers, Timothy and Barrow-Green, June and Leader, Imre},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2008},
PAGES = {xxii+1034},
ISBN = {978-0-691-11880-2},
MRCLASS = {00A20 (00A05)},
MRNUMBER = {MR2467561 (2009i:00002)},
MRREVIEWER = {Terence Tao},
}
@book {MR1001562,
AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
TITLE = {Concrete mathematics},
NOTE = {A foundation for computer science},
PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
ADDRESS = {Reading, MA},
YEAR = {1989},
PAGES = {xiv+625},
ISBN = {0-201-14236-8},
MRCLASS = {00A05 (00-01 05-01 68-01 68Rxx)},
MRNUMBER = {1001562 (91f:00001)},
MRREVIEWER = {Volker Strehl},
}
@incollection {MR1610975,
AUTHOR = {Gramain, Andr{\'e}},
TITLE = {L'invariance topologique des classes de {P}ontrjagin
rationnelles (d'apr\`es {S}. {P}. {N}ovikov et {L}. {C}.
{S}iebenmann)},
BOOKTITLE = {S\'eminaire Bourbaki, Vol.\ 9},
PAGES = {Exp.\ No.\ 304, 391--406},
PUBLISHER = {Soc. Math. France},
ADDRESS = {Paris},
YEAR = {1995},
MRCLASS = {57R20 (57Q50)},
MRNUMBER = {MR1610975},
}
@book {MR1987179,
AUTHOR = {Granas, Andrzej and Dugundji, James},
TITLE = {Fixed point theory},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xvi+690},
ISBN = {0-387-00173-5},
MRCLASS = {58C30 (47H10 47H11 47J05 54H25 55M20)},
MRNUMBER = {MR1987179 (2004d:58012)},
MRREVIEWER = {A. G. Kartsatos},
}
@article {Grant,
AUTHOR = {Grant, Mark},
TITLE = {Bordism of immersions},
JOURNAL = {Thesis},
}
@article{math.AT/0504152,
title = {{Bordism Groups of Immersions and Classes Represented by
Self-Intersections}},
author = {Peter J. Eccles and Mark Grant},
eprint = {arXiv:math.AT/0504152},
}
@article{math.AT/0509213,
title = {{Self-intersections of Immersions and Steenrod Operations}},
author = {Peter J. Eccles and Mark Grant},
eprint = {arXiv:math.AT/0509213},
}
@book {MR1811103,
AUTHOR={Grattan-Guinness, I.},
TITLE = {From the calculus to set theory, 1630--1910},
SERIES = {Princeton Paperbacks},
NOTE = {An introductory history,
Edited by I. Grattan-Guinness,
Reprint of the 1980 original},
PUBLISHER
= {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2000},
PAGES = {viii+306},
ISBN = {0-691-07082-2},
MRCLASS = {01A05 (26-03)},
MRNUMBER = {MR1811103 (2001i:01004)},
}
@book {MR0402714,
AUTHOR = {Gray, Brayton},
TITLE = {Homotopy theory},
NOTE = {An introduction to algebraic topology,
Pure and Applied Mathematics, Vol. 64},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1975},
PAGES = {xiii+368},
MRCLASS = {55-02},
MRNUMBER = {MR0402714 (53 \#6528)},
MRREVIEWER = {J. F. Adams},
}
@book {MR2305283,
AUTHOR = {Gray, Jeremy},
TITLE = {Worlds out of nothing},
SERIES = {Springer Undergraduate Mathematics Series},
NOTE = {A course in the history of geometry in the 19th century},
PUBLISHER = {Springer-Verlag London Ltd.},
ADDRESS = {London},
YEAR = {2007},
PAGES = {xxiv+376},
ISBN = {978-1-84628-632-2; 1-84628-632-8},
MRCLASS = {51-03 (01-01 01A55)},
MRNUMBER = {2305283 (2008b:51001)},
MRREVIEWER = {James J. Tattersall},
}
@book {MR891402,
AUTHOR = {Gray, Jeremy},
TITLE = {Linear differential equations and group theory from {R}iemann
to {P}oincar\'e},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1986},
PAGES = {xxvi+460},
ISBN = {0-8176-3318-9},
MRCLASS = {01A55 (14-03 20-03 30-03 34-03)},
MRNUMBER = {891402 (89d:01041)},
MRREVIEWER = {Umberto Bottazzini},
}
@article {MR0480699,
AUTHOR = {Grayson, Daniel R.},
TITLE = {The {$K$}-theory of endomorphisms},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {48},
YEAR = {1977},
NUMBER = {2},
PAGES = {439--446},
ISSN = {0021-8693},
MRCLASS = {18F25},
MRNUMBER = {MR0480699 (58 \#853)},
MRREVIEWER = {Keith Dennis},
}
@incollection {MR0574096,
AUTHOR = {Grayson, Daniel R.},
TITLE = {Higher algebraic {$K$}-theory. {II} (after {D}aniel
{Q}uillen)},
BOOKTITLE = {Algebraic $K$-theory (Proc. Conf., Northwestern Univ.,
Evanston, Ill., 1976)},
PAGES = {217--240. Lecture Notes in Math., Vol. 551},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1976},
MRCLASS = {18F25},
MRNUMBER = {MR0574096 (58 \#28137)},
MRREVIEWER = {H. Bass},
}
@article{MR2182598,
TITLE = {Handbook of {$K$}-theory. {V}ol. 1, 2},
AUTHOR = {Friedlander, Eric M. and Grayson, Daniel R.},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2005},
PAGES = {Vol. 1: xiv+535 pp.; Vol. 2: pp. i--x and 537--1163},
ISBN = {978-3-540-23019-9; 3-540-23019-X},
MRCLASS = {19-06},
MRNUMBER = {MR2182598 (2006e:19001)},
DOI = {10.1007/3-540-27855-9},
}
@article {MR535839,
AUTHOR = {Grayson, Daniel R.},
TITLE = {{$K\sb{2}$} and the {$K$}-theory of automorphisms},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {58},
YEAR = {1979},
NUMBER = {1},
PAGES = {12--30},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16A54 (18F25 55R20)},
MRNUMBER = {MR535839 (80g:16029)},
MRREVIEWER = {M. E. Keating},
}
@article {MR585217,
AUTHOR = {Grayson, Daniel R.},
TITLE = {{$K$}-theory and localization of noncommutative rings},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {18},
YEAR = {1980},
NUMBER = {2},
PAGES = {125--127},
ISSN = {0022-4049},
MRCLASS = {18F25 (57R65)},
MRNUMBER = {MR585217 (81m:18010)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR909784,
AUTHOR = {Gillet, Henri and Grayson, Daniel R.},
TITLE = {The loop space of the {$Q$}-construction},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {31},
YEAR = {1987},
NUMBER = {4},
PAGES = {574--597},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {18F25 (19D06)},
MRNUMBER = {MR909784 (89h:18012)},
MRREVIEWER = {A. J. Berrick},
}
@article {MR909785,
AUTHOR = {Grayson, Daniel R.},
TITLE = {Exact sequences in algebraic {$K$}-theory},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {31},
YEAR = {1987},
NUMBER = {4},
PAGES = {598--617},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {18F25 (19D10 19D55)},
MRNUMBER = {MR909785 (89c:18011)},
MRREVIEWER = {Jan Stienstra},
}
@article {MR929766,
AUTHOR = {Grayson, Daniel R.},
TITLE = {The {$K$}-theory of semilinear endomorphisms},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {113},
YEAR = {1988},
NUMBER = {2},
PAGES = {358--372},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16A54 (18F25 19D99 19G38)},
MRNUMBER = {MR929766 (89i:16021)},
}
@article{graynote,
AUTHOR = {Grayson, Daniel R.},
TITLE = {Algebraic K-theory notes},
}
@article {MR661444,
AUTHOR = {Green, Edward L.},
TITLE = {On the representation theory of rings in matrix form},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {100},
YEAR = {1982},
NUMBER = {1},
PAGES = {123--138},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {16A64},
MRNUMBER = {MR661444 (83m:16029)},
MRREVIEWER = {V. Dlab},
}
@book {MR643101,
AUTHOR = {Greenberg, Marvin J. and Harper, John R.},
TITLE = {Algebraic topology},
SERIES = {Mathematics Lecture Note Series},
VOLUME = {58},
NOTE = {A first course},
PUBLISHER = {Benjamin/Cummings Publishing Co. Inc. Advanced Book Program},
ADDRESS = {Reading, Mass.},
YEAR = {1981},
PAGES = {xi+311 pp. (loose errata)},
ISBN = {0-8053-3558-7; 0-8053-3557-9},
MRCLASS = {55-01},
MRNUMBER = {MR643101 (83b:55001)},
MRREVIEWER = {J. P. May},
}
@article {dwgriy,
AUTHOR = {Dwyer, W. G. and Greenlees, J.P.C. and Iyenagar, S.},
TITLE = {Duality in algebra and topology},
JOURNAL = {Advances in Mathematics},
}
@article {MR0057643,
AUTHOR = {Gregory, Robert T.},
TITLE = {Computing eigenvalues and eigenvectors of a symmetric matrix
on the {ILLIAC}},
JOURNAL = {Math. Tables and Other Aids to Computation},
FJOURNAL = {Mathematical Tables and Other Aids to Computation},
VOLUME = {7},
YEAR = {1953},
PAGES = {215--220},
ISSN = {0891-6837},
MRCLASS = {65.0X},
MRNUMBER = {0057643 (15,258h)},
}
@article {MR2136675,
AUTHOR = {Grenier-Boley, N. and Mahmoudi, M. G.},
TITLE = {Exact sequences of {W}itt groups},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {965--986},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {11E81 (16K20)},
MRNUMBER = {MR2136675 (2006a:11050)},
MRREVIEWER = {Stefan Gille},
}
@book {MR2290112,
AUTHOR = {Greuel, G.-M. and Lossen, C. and Shustin, E.},
TITLE = {Introduction to singularities and deformations},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2007},
PAGES = {xii+471},
ISBN = {978-3-540-28380-5; 3-540-28380-3},
MRCLASS = {32Sxx (14B05)},
MRNUMBER = {MR2290112 (2008b:32013)},
MRREVIEWER = {Vasile Br{\^{\i}}nz{\u{a}}nescu},
}
@book {MR1987382,
AUTHOR = {Ben-Israel, Adi and Greville, Thomas N. E.},
TITLE = {Generalized inverses},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la
SMC, 15},
EDITION = {Second},
NOTE = {Theory and applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xvi+420},
ISBN = {0-387-00293-6},
MRCLASS = {15A09 (47A05 47A50)},
MRNUMBER = {1987382 (2004b:15008)},
}
@book {MR1444833,
AUTHOR = {Griend, P.},
TITLE = {History and science of knots},
SERIES = {Series on Knots and Everything},
VOLUME = {11},
EDITOR = {Turner, J. C. and van de Griend, P.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1996},
PAGES = {xii+449},
ISBN = {981-02-2469-9},
MRCLASS = {01A05 (00A69 01A99 57M25)},
MRNUMBER = {MR1444833 (98e:01003)},
MRREVIEWER = {G. Burde},
}
@book {MR643479,
AUTHOR = {Griffiths, H. B.},
TITLE = {Surfaces},
EDITION = {Second},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1981},
PAGES = {xii+128},
ISBN = {0-521-23570-7; 0-521-29977-2},
MRCLASS = {57N05 (57-01)},
MRNUMBER = {MR643479 (83b:57007)},
MRREVIEWER = {Andreas Blass},
}
@book {MR507725,
AUTHOR = {Griffiths, Phillip and Harris, Joseph},
TITLE = {Principles of algebraic geometry},
NOTE = {Pure and Applied Mathematics},
PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]},
ADDRESS = {New York},
YEAR = {1978},
PAGES = {xii+813},
ISBN = {0-471-32792-1},
MRCLASS = {14-01},
MRNUMBER = {MR507725 (80b:14001)},
MRREVIEWER = {Gerhard Pfister},
}
@article {MR2597238,
AUTHOR = {Morton, Hugh R. and Grishanov, Sergei},
TITLE = {Doubly periodic textile structures},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {18},
YEAR = {2009},
NUMBER = {12},
PAGES = {1597--1622},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {2597238},
DOI = {10.1142/S0218216509007646},
URL = {http://dx.doi.org/10.1142/S0218216509007646},
}
@article{grishanov_topological1_2009,
title = {A Topological Study of Textile Structures. Part {II:} Topological Invariants in Application to Textile Structures},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part {II}},
url = {http://trj.sagepub.com/cgi/content/abstract/79/9/822},
doi = {10.1177/0040517508096221},
abstract = {This paper is the second in the series on topological classification of textile structures. The classification problem can be resolved with the aid of invariants used in knot theory for classification of knots and links. Various numerical and polynomial invariants are considered in application to textile structures. A new Kauffman-type polynomial invariant is constructed for doubly-periodic textile structures. The values of the numerical and polynomial invariants are calculated for some simplest doubly-periodic interlaced structures and for some woven and knitted textiles.},
number = {9},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = jun,
year = {2009},
pages = {822--836},
}
@article{grishanov_topological2_2009,
title = {A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part I},
url = {http://trj.sagepub.com/cgi/content/abstract/79/8/702},
doi = {10.1177/0040517508095600},
abstract = {This paper proposes a new systematic approach for the description and classification of textile structures based on topological principles. It is shown that textile structures can be considered as a specific case of knots or links and can be represented by diagrams on a torus. This enables modern methods of knot theory to be applied to the study of the topology of textiles. The basics of knot theory are briefly introduced. Some specific matters relating to the application of these methods to textiles are discussed, including enumeration of textile structures and topological invariants of doubly-periodic structures.},
number = {8},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = may,
year = {2009},
pages = {702--713},
}
@article {MR819352,
AUTHOR = {Grivel, Pierre-Paul},
TITLE = {Une d\'emonstration du th\'eor\`eme de dualit\'e de {V}erdier},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {31},
YEAR = {1985},
NUMBER = {3-4},
PAGES = {227--247},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {32C37 (18F20 55N30 55U30)},
MRNUMBER = {MR819352 (87h:32025)},
MRREVIEWER = {P. Schapira},
}
@incollection {MR1253544,
AUTHOR = {Gromov, Mikhael},
TITLE = {Asymptotic invariants of infinite groups},
BOOKTITLE = {Geometric group theory, {V}ol.\ 2 ({S}ussex, 1991)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {182},
PAGES = {1--295},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1993},
MRCLASS = {20F32 (57M07)},
MRNUMBER = {1253544 (95m:20041)},
}
@incollection {MR1389019,
AUTHOR = {Gromov, Mikhael},
TITLE = {Positive curvature, macroscopic dimension, spectral gaps and
higher signatures},
BOOKTITLE = {Functional analysis on the eve of the 21st century, {V}ol.\
{II} ({N}ew {B}runswick, {NJ}, 1993)},
SERIES = {Progr. Math.},
VOLUME = {132},
PAGES = {1--213},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1996},
MRCLASS = {53C21 (53C20 57R20)},
MRNUMBER = {MR1389019 (98d:53052)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR686042,
AUTHOR = {Gromov, Mikhael},
TITLE = {Volume and bounded cohomology},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {56},
YEAR = {1982},
PAGES = {5--99 (1983)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {53C20 (53C21 57R99 58E99)},
MRNUMBER = {MR686042 (84h:53053)},
MRREVIEWER = {Karsten Grove},
URL = {http://www.numdam.org/item?id=PMIHES_1982__56__5_0},
}
@incollection {MR780040,
AUTHOR = {Cheeger, Jeff and Gromov, Mikhael},
TITLE = {On the characteristic numbers of complete manifolds of bounded
curvature and finite volume},
BOOKTITLE = {Differential geometry and complex analysis},
PAGES = {115--154},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {58G10 (53C20 58G11)},
MRNUMBER = {MR780040 (86h:58131)},
MRREVIEWER = {J{\'o}zef Dodziuk},
}
@article {MR806699,
AUTHOR = {Cheeger, Jeff and Gromov, Mikhael},
TITLE = {Bounds on the von {N}eumann dimension of {$L\sp 2$}-cohomology
and the {G}auss-{B}onnet theorem for open manifolds},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {21},
YEAR = {1985},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58G12 (53C20)},
MRNUMBER = {MR806699 (87d:58136)},
MRREVIEWER = {J{\'o}zef Dodziuk},
}
@article{gromovman,
AUTHOR = {Gromov, Mikhael},
TITLE = {Manifolds: Where Do We Come From? What
Are We? Where Are We Going},
YEAR = {2010},
}
@article {MR2794359,
AUTHOR = {Gross, Jonathan L. and Tucker, Thomas W.},
TITLE = {A {C}eltic framework for knots and links},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {46},
YEAR = {2011},
NUMBER = {1},
PAGES = {86--99},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {57M25},
MRNUMBER = {2794359},
DOI = {10.1007/s00454-010-9257-0},
URL = {http://dx.doi.org/10.1007/s00454-010-9257-0},
}
@book {MR898434,
AUTHOR = {Gross, Jonathan L. and Tucker, Thomas W.},
TITLE = {Topological graph theory},
SERIES = {Wiley-Interscience Series in Discrete Mathematics and
Optimization},
NOTE = {A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1987},
PAGES = {xvi+351},
ISBN = {0-471-04926-3},
MRCLASS = {05C10 (20F32 57M15)},
MRNUMBER = {898434 (88h:05034)},
MRREVIEWER = {Saul Stahl},
}
@article{kotiuga2001,
title = {Data structures for geometric and topological aspects of finite element algorithms},
journal = {Progress in Electromagnetic Research, PIER},
author = {P. Robert Kotiuga and P.W. Gross},
year = {2001},
volume={32},
pages={151--169},
}
@book {MR2067778,
AUTHOR = {Gross, Paul W. and Kotiuga, P. Robert},
TITLE = {Electromagnetic theory and computation: a topological
approach},
SERIES = {Mathematical Sciences Research Institute Publications},
VOLUME = {48},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {x+278},
ISBN = {0-521-80160-5},
MRCLASS = {78-02 (57-02 78A30 78M10)},
MRNUMBER = {MR2067778 (2005d:78001)},
MRREVIEWER = {Jeffrey K. Lawson},
}
@book {MR0357299,
AUTHOR = {Rademacher, Hans and Grosswald, Emil},
TITLE = {Dedekind sums},
NOTE = {The Carus Mathematical Monographs, No. 16},
PUBLISHER = {The Mathematical Association of America, Washington, D.C.},
YEAR = {1972},
PAGES = {xvi+102},
MRCLASS = {10A20},
MRNUMBER = {MR0357299 (50 \#9767)},
MRREVIEWER = {L. Carlitz},
}
@incollection {MR654517,
AUTHOR = {Grosswald, Emil},
TITLE = {An orthonormal system and its {L}ebesgue constants (a lost and
found manuscript)},
BOOKTITLE = {Analytic number theory ({P}hiladelphia, {P}a., 1980)},
SERIES = {Lecture Notes in Math.},
VOLUME = {899},
PAGES = {1--9},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {01A60 (42-03)},
MRNUMBER = {MR654517 (83j:01041)},
MRREVIEWER = {R. A. Askey},
}
@incollection {MR0130879,
AUTHOR = {Grothendieck, Alexander},
TITLE = {The cohomology theory of abstract algebraic varieties},
BOOKTITLE = {Proc. {I}nternat. {C}ongress {M}ath. ({E}dinburgh, 1958)},
PAGES = {103--118},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {New York},
YEAR = {1960},
MRCLASS = {14.55},
MRNUMBER = {0130879 (24 \#A733)},
MRREVIEWER = {R. Bott},
}
@article{blagojevic_symmetric_2004,
title = {Symmetric products of surfaces; a unifying theme for topology and physics},
url = {http://arxiv.org/abs/math/0408417},
abstract = {This is a review paper about symmetric products of spaces {\$SP{\textasciicircum}n(X):=} {X{\textasciicircum}n/S\_n\$.} We focus our attention on the symmetric products of 2-manifolds and make a journey through selected topics of algebraic topology, algebraic geometry, mathematical physics, theoretical mechanics etc. where these objects play an important role, demonstrating along the way the fundamental unity of diverse fields of physics and mathematics.},
journal = {math/0408417},
author = {Pavle Blagojevic and Vladimir Grujic and Rade Zivaljevic},
month = aug,
year = {2004},
note = {Proceedings of Summer school in modern mathematical physics {(B.} Dragovic, B. Sazdovic, eds.) {SFIN,} {XV} {(A3),} Institute of Physics, Belgrade 2002},
keywords = {{52C35,} {55S15,} Mathematics - Algebraic Topology, Mathematics - Combinatorics},
}
@article {MR2947546,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {A notion of geometric complexity and its application to
topological rigidity},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {189},
YEAR = {2012},
NUMBER = {2},
PAGES = {315--357},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57Nxx (22Fxx 53Cxx)},
MRNUMBER = {2947546},
DOI = {10.1007/s00222-011-0366-z},
URL = {http://dx.doi.org/10.1007/s00222-011-0366-z},
}
@article {guteyu2,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {DISCRETE GROUPS WITH FINITE DECOMPOSITION COMPLEXITY},
}
@paper {MR2797019,
TITLE = {Mathematical lives},
AUTHOR = {Bartocci, Claudio and Betti, Renato and Guerraggio, Angelo and
Lucchetti, Roberto},
NOTE = {Protagonists of the twentieth century from Hilbert to Wiles,
Translated from the 2007 Italian original by Kim Williams},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2011},
PAGES = {xiv+238},
ISBN = {978-3-642-13605-4},
MRCLASS = {01-06 (01A70)},
MRNUMBER = {2797019 (2011k:01001)},
}
@article {MR0532231,
AUTHOR = {Guggenheimer, H.},
TITLE = {The {J}ordan curve theorem and an unpublished manuscript by
{M}ax {D}ehn},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {17},
YEAR = {1977},
NUMBER = {2},
PAGES = {193--200},
ISSN = {0003-9519},
MRCLASS = {01A60 (55-03 57A05 57A50)},
MRNUMBER = {MR0532231 (58 \#27069)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR510552,
AUTHOR = {Guichardet, A. and Wigner, D.},
TITLE = {Sur la cohomologie r\'eelle des groupes de {L}ie simples
r\'eels},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {11},
YEAR = {1978},
NUMBER = {2},
PAGES = {277--292},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {22E99},
MRNUMBER = {MR510552 (80g:22023a)},
MRREVIEWER = {W. T. van Est},
URL = {http://www.numdam.org/item?id=ASENS_1978_4_11_2_277_0},
}
@article {MR510553,
AUTHOR = {Dupont, Johan L. and Guichardet, A.},
TITLE = {\`{A} propos de l'article: ``{S}ur la cohomologie r\'eelle des
groupes de {L}ie simples r\'eels'' [{A}nn. {S}ci. {E}\'cole
{N}orm. {S}up. (4) {\bf 11} (1978), no. 2, 277--292]\ par
{G}uichardet et {D}. {W}igner},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {11},
YEAR = {1978},
NUMBER = {2},
PAGES = {293--295},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {22E99},
MRNUMBER = {MR510553 (80g:22023b)},
MRREVIEWER = {W. T. van Est},
URL = {http://www.numdam.org/item?id=ASENS_1978_4_11_2_293_0},
}
@article{guilbault_spherical_2011,
title = {Spherical alterations of handles: embedding the manifold plus construction},
shorttitle = {Spherical alterations of handles},
url = {http://arxiv.org/abs/1108.5166},
abstract = {A key tool in our earlier work on ends of manifolds high-dimensional manifolds was an ability to embed cobordisms provided by the Quillen Plus Construction into those ends. Here we develop a `spherical modification' trick which provides a constructive approach to obtaining such embeddings. More importantly, this approach allows for more general embedding results. In this paper we develop generalizations of the plus construction and show how the corresponding cobordisms can be embedded in manifolds satisfying appropriate fundamental group properties. Results obtained here play an important role in our ongoing study of noncompact manifolds.},
journal = {1108.5166},
author = {Guilbault, Craig R and Tinsley, Frederick C},
month = aug,
year = {2011},
keywords = {{57N15}, {57Q12}, {57R65}, {57Q10}, Mathematics - Geometric Topology},
}
@article {MR2156666,
AUTHOR = {Guilfoyle, Brendan and Klingenberg, Wilhelm},
TITLE = {An indefinite {K}\"ahler metric on the space of oriented
lines},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {72},
YEAR = {2005},
NUMBER = {2},
PAGES = {497--509},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {53C50 (53C28 53C55)},
MRNUMBER = {MR2156666 (2006e:53125)},
MRREVIEWER = {Antonella Nannicini},
DOI = {10.1112/S0024610705006605},
URL = {http://dx.doi.org/10.1112/S0024610705006605},
}
@book {MR0341518,
AUTHOR = {Golubitsky, M. and Guillemin, Victor},
TITLE = {Stable mappings and their singularities},
NOTE = {Graduate Texts in Mathematics, Vol. 14},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {x+209},
MRCLASS = {58C25},
MRNUMBER = {MR0341518 (49 \#6269)},
MRREVIEWER = {G. R. Belickii},
}
@book {MR0348781,
AUTHOR = {Guillemin, Victor and Pollack, Alan},
TITLE = {Differential topology},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1974},
PAGES = {xvi+222},
MRCLASS = {58-01 (57-01)},
MRNUMBER = {MR0348781 (50 \#1276)},
MRREVIEWER = {K. H. Mayer},
}
@book {MR0516965,
AUTHOR = {Guillemin, Victor and Sternberg, Shlomo},
TITLE = {Geometric asymptotics},
NOTE = {Mathematical Surveys, No. 14},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1977},
PAGES = {xviii+474 pp. (one plate)},
MRCLASS = {58G15 (35C99 41A60 47G05 58F05 78.58)},
MRNUMBER = {MR0516965 (58 \#24404)},
MRREVIEWER = {Ju. V. Egorov},
}
@book {MR620794,
AUTHOR = {Boutet de Monvel, Louis and Guillemin, Victor},
TITLE = {The spectral theory of {T}oeplitz operators},
SERIES = {Annals of Mathematics Studies},
VOLUME = {99},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1981},
PAGES = {v+161},
ISBN = {0-691-08284-7; 0-691-08279-0},
MRCLASS = {58G15 (32F20 35Pxx 35S05 47B35)},
MRNUMBER = {620794 (85j:58141)},
MRREVIEWER = {V. Peller},
}
@article{collinet_link_2011,
title = {A link invariant with values in the Witt ring},
url = {http://arxiv.org/abs/1106.3598},
abstract = {Using Maslov indices, we show the existence of oriented link invariants with values in the Witt rings of certain fields. Various classical invariants are closely related to this construction. We also explore a surprising connection with the Weil representation.},
journal = {1106.3598},
author = {Collinet, Gaël and Guillot, Pierre},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology},
}
@book {MR900243,
TITLE = {\`{A} la recherche de la topologie perdue},
SERIES = {Progress in Mathematics},
VOLUME = {62},
AUTHOR = {Guillou, Lucien and Marin, Alexis},
NOTE = {I. Du c{\^o}t{\'e} de chez Rohlin. II. Le c{\^o}t{\'e} de
Casson. [I. Rokhlin's way. II. Casson's way]},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1986},
PAGES = {xxiv+244},
ISBN = {0-8176-3329-4},
MRCLASS = {57-02 (01A70 01A75 57-03 57N13 57R19 57R20 57S17)},
MRNUMBER = {MR900243 (88k:57002)},
MRREVIEWER = {Christopher W. Stark},
}
@incollection {MR900247,
AUTHOR = {Guillou, Lucien and Marin, Alexis},
TITLE = {Une extension d'un th\'eor\`eme de {R}ohlin sur la signature},
BOOKTITLE = {\`{A} la recherche de la topologie perdue},
SERIES = {Progr. Math.},
VOLUME = {62},
PAGES = {97--118},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1986},
MRCLASS = {57N13 (57R10)},
MRNUMBER = {900247},
}
@article {MR2331918,
AUTHOR = {Gukov, Sergei},
TITLE = {Gauge theory and knot homologies},
JOURNAL = {Fortschr. Phys.},
FJOURNAL = {Fortschritte der Physik. Progress of Physics},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5-7},
PAGES = {473--490},
ISSN = {0015-8208},
MRCLASS = {81T45 (57M27 81-02 81T30)},
MRNUMBER = {MR2331918 (2008h:81155)},
MRREVIEWER = {Hans U. Boden},
DOI = {10.1002/prop.200610385},
URL = {http://dx.doi.org/10.1002/prop.200610385},
}
@article{gukov_surface_2007,
title = {Surface Operators and Knot Homologies},
url = {http://arxiv.org/abs/0706.2369},
abstract = {Topological gauge theories in four dimensions which admit surface operators provide a natural framework for realizing homological knot invariants. Every such theory leads to an action of the braid group on branes on the corresponding moduli space. This action plays a key role in the construction of homological knot invariants. We illustrate the general construction with examples based on surface operators in N=2 and N=4 twisted gauge theories which lead to a categorification of the Alexander polynomial, the equivariant knot signature, and certain analogs of the Casson invariant. This paper is based on a lecture delivered at the International Congress on Mathematical Physics 2006, Rio de Janeiro, and at the {RTN} Workshop 2006, Napoli.},
journal = {0706.2369},
author = {Gukov, Sergei},
month = jun,
year = {2007},
keywords = {High Energy Physics - Theory, Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@article {13.0083.01,
author="Gundelfinger, S.",
title="{Ueber die Transformation einer quadratischen Form in eine Summe von
Quadraten.}",
language="German",
year="1881",
}
@book {MR777682,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {I}},
SERIES = {Monographs in Mathematics},
VOLUME = {82},
NOTE = {The classification of critical points, caustics and wave
fronts,
Translated from the Russian by Ian Porteous and Mark Reynolds},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1985},
PAGES = {xi+382},
ISBN = {0-8176-3187-9},
MRCLASS = {58C27},
MRNUMBER = {777682 (86f:58018)},
}
@book {MR966191,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {II}},
SERIES = {Monographs in Mathematics},
VOLUME = {83},
NOTE = {Monodromy and asymptotics of integrals,
Translated from the Russian by Hugh Porteous,
Translation revised by the authors and James Montaldi},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1988},
PAGES = {viii+492},
ISBN = {0-8176-3185-2},
MRCLASS = {58C27 (32B30 32C40 32G11)},
MRNUMBER = {966191 (89g:58024)},
}
@book {farey,
AUTHOR = {Guthery, Scott},
TITLE = {A motif of mathematics},
}
@article {MR0310902,
AUTHOR = {Guti{\'e}rrez, M. A.},
TITLE = {Boundary links and an unlinking theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {171},
YEAR = {1972},
PAGES = {491--499},
ISSN = {0002-9947},
MRCLASS = {57C45 (55A25)},
MRNUMBER = {MR0310902 (46 \#10000)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0006511,
AUTHOR = {Gysin, Werner},
TITLE = {Zur {H}omologietheorie der {A}bbildungen und {F}aserungen von
{M}annigfaltigkeiten},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {14},
YEAR = {1942},
PAGES = {61--122},
ISSN = {0010-2571},
MRCLASS = {56.0X},
MRNUMBER = {0006511 (3,317a)},
MRREVIEWER = {H. Samelson},
}
@article{41.0469.03,
author="Haar, A.",
title="{Zur Theorie der orthogonalen Funktionensysteme. (Erste Mitteilung.).}",
journal="Math. Ann. ",
volume="69",
pages="331-371",
year="1910",
doi={10.1007/BF01456326},
}
@article{42.0433.01,
author="Haar, A.",
title="{Zur Theorie der orthogonalen Funktionensysteme. (Zweite Mitteilung.).}",
language="German",
journal="Math. Ann. ",
volume="71",
pages="38-53",
year="1912",
doi={10.1007/BF01456927},
abstract="{Die S\"atze von {\it Cantor} und {\it Du Bois-Reymond} aus der
Theorie der trigonometrischen Reihen werden auf beliebige {\it
Sturm-Liouville}sche Reihen \"ubertragen; der Beweis wird so gef\"uhrt,
da\ss\ die {\it Sturm-Liouville}sche Reihe mit H\"ulfe einer scharfen, von
{\it Hobson} herr\"uhrenden asymptotischen Darstellung der in ihnen
auftretenden Entwicklungsfunktionen im wesentlichen auf eine
trigonometrische zur\"uckgef\"uhrt wird.}",
reviewer="{Weyl, Prof. (Z\"urich)}",
}
@article {MR1362791,
AUTHOR = {Blanchet, C. and Habegger, N. and Masbaum, G. and Vogel, Pierre},
TITLE = {Topological quantum field theories derived from the {K}auffman
bracket},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {4},
PAGES = {883--927},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N10 (57M25 81T40)},
MRNUMBER = {MR1362791 (96i:57015)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1016/0040-9383(94)00051-4},
URL = {http://dx.doi.org/10.1016/0040-9383(94)00051-4},
}
@incollection {MR764585,
AUTHOR = {Li, Bang He and Habegger, N.},
TITLE = {A two-stage procedure for the classification of vector bundle
monomorphisms with applications to the classification of
immersions homotopic to a map},
BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {293--314},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R22 (57R42 58D10)},
MRNUMBER = {MR764585 (86c:57022)},
MRREVIEWER = {M. Mahowald},
}
@article {MR0120655,
AUTHOR = {Haefliger, Andr{\'e}},
TITLE = {Points multiples d'une application et produit cyclique
r\'eduit},
JOURNAL = {Amer. J. Math.},
VOLUME = {83},
YEAR = {1961},
PAGES = {57--70},
MRCLASS = {57.00},
MRNUMBER = {MR0120655 (22 \#11404)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0143224,
AUTHOR = {Haefliger, Andr{\'e} and Hirsch, Morris W.},
TITLE = {Immersions in the stable range},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {231--241},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {MR0143224 (26 \#784)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0145538,
AUTHOR = {Haefliger, Andr{\'e}},
TITLE = {Plongements diff\'erentiables de vari\'et\'es dans
vari\'et\'es},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {36},
YEAR = {1961},
PAGES = {47--82},
MRCLASS = {57.20},
MRNUMBER = {MR0145538 (26 \#3069)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0145539,
AUTHOR = {Haefliger, Andr{\'e}},
TITLE = {Knotted {$(4k-1)$}-spheres in {$6k$}-space},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {452--466},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {MR0145539 (26 \#3070)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0157391,
AUTHOR = {Haefliger, Andr{\'e}},
TITLE = {Plongements diff\'erentiables dans le domaine stable},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {37},
YEAR = {1962/1963},
PAGES = {155--176},
MRCLASS = {57.20},
MRNUMBER = {MR0157391 (28 \#625)},
MRREVIEWER = {R. H. Szczarba},
}
@article {MR0172296,
AUTHOR = {Haefliger, Andr{\'e} and Poenaru, Valentin},
TITLE = {La classification des immersions combinatoires},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {23},
YEAR = {1964},
PAGES = {75--91},
ISSN = {0073-8301},
MRCLASS = {57.20},
MRNUMBER = {0172296 (30 \#2515)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0184222,
AUTHOR = {Haefliger, Andr{\'e} and Steer, B.},
TITLE = {Symmetry of linking coefficients},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {39},
YEAR = {1965},
PAGES = {259--270},
MRCLASS = {55.20},
MRNUMBER = {MR0184222 (32 \#1695)},
MRREVIEWER = {W. R. Alford},
}
@article {MR0212818,
AUTHOR = {Haefliger, Andr{\'e}},
TITLE = {Enlacements de sph\`eres en codimension sup\'erieure \`a
{$2$}},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {41},
YEAR = {1966/1967},
PAGES = {51--72},
MRCLASS = {57.20 (55.20)},
MRNUMBER = {MR0212818 (35 \#3683)},
MRREVIEWER = {M. W. Hirsch},
}
@book {MR1744486,
AUTHOR = {Bridson, Martin R. and Haefliger, Andr{\'e}},
TITLE = {Metric spaces of non-positive curvature},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {319},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1999},
PAGES = {xxii+643},
ISBN = {3-540-64324-9},
MRCLASS = {53C23 (20F65 53C70 57M07)},
MRNUMBER = {1744486 (2000k:53038)},
MRREVIEWER = {Athanase Papadopoulos},
}
@article {MR1744654,
AUTHOR = {Haghany, A. and Varadarajan, K.},
TITLE = {Study of modules over formal triangular matrix rings},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {147},
YEAR = {2000},
NUMBER = {1},
PAGES = {41--58},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16D90 (16S50)},
MRNUMBER = {MR1744654 (2000k:16004)},
MRREVIEWER = {Jeremy Haefner},
}
@article {MR1201620,
AUTHOR = {Hall, R. R. and Huxley, M. N.},
TITLE = {Dedekind sums and continued fractions},
JOURNAL = {Acta Arith.},
FJOURNAL = {Acta Arithmetica},
VOLUME = {63},
YEAR = {1993},
NUMBER = {1},
PAGES = {79--90},
ISSN = {0065-1036},
CODEN = {AARIA9},
MRCLASS = {11F20 (11K50)},
MRNUMBER = {MR1201620 (94a:11059)},
MRREVIEWER = {Gerald Myerson},
}
@article {MR0312515,
AUTHOR = {Halperin, Stephen and Toledo, Domingo},
TITLE = {Stiefel-{W}hitney homology classes},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {96},
YEAR = {1972},
PAGES = {511--525},
ISSN = {0003-486X},
MRCLASS = {57D20},
MRNUMBER = {0312515 (47 \#1072)},
MRREVIEWER = {J. P. Levine},
}
@article {MR1076514,
AUTHOR = {Hambleton, Ian and Pedersen, Erik K.},
TITLE = {Bounded surgery and dihedral group actions on spheres},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {4},
YEAR = {1991},
NUMBER = {1},
PAGES = {105--126},
ISSN = {0894-0347},
MRCLASS = {57R67 (57S17 57S25)},
MRNUMBER = {MR1076514 (91h:57022)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR1268187,
AUTHOR = {Ferry, S. and Hambleton, Ian and Pedersen, Erik K.},
TITLE = {A survey of bounded surgery theory and applications},
BOOKTITLE = {Algebraic topology and its applications},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {27},
PAGES = {57--80},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1994},
MRCLASS = {57R67 (55P99 57P99)},
MRNUMBER = {MR1268187},
}
@article {MR1465889,
AUTHOR = {Hambleton, Ian and Teichner, Peter},
TITLE = {A non-extended {H}ermitian form over {$\bold Z[\bold Z]$}},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {93},
YEAR = {1997},
NUMBER = {4},
PAGES = {435--442},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {57R19 (11E39 57N13 57R67)},
MRNUMBER = {1465889 (98i:57049)},
MRREVIEWER = {Terry Lawson},
DOI = {10.1007/BF02677483},
URL = {http://dx.doi.org/10.1007/BF02677483},
}
@article {MR2030369,
AUTHOR = {Hambleton, Ian and Pedersen, Erik K.},
TITLE = {Identifying assembly maps in {$K$}- and {$L$}-theory},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {328},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {27--57},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {19D50 (19A31 19B28 55N20)},
MRNUMBER = {MR2030369 (2004j:19001)},
MRREVIEWER = {Weibel, Charles A.},
}
@article {MR2302493,
AUTHOR = {Hambleton, Ian and Korzeniewski, Andrew and Ranicki, Andrew},
TITLE = {The signature of a fibre bundle is multiplicative mod 4},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {251--314},
ISSN = {1465-3060},
MRCLASS = {55R10 (18G35 19B28 55U15 57Q10 57R19 57R67)},
MRNUMBER = {2302493 (2008c:55022)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.2140/gt.2007.11.251},
URL = {http://dx.doi.org/10.2140/gt.2007.11.251},
}
@incollection {MR764576,
AUTHOR = {Hambleton, Ian and Taylor, Laurence R. and Williams, Bruce},
TITLE = {An introduction to maps between surgery obstruction groups},
BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {49--127},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R65 (18F25 19G24)},
MRNUMBER = {MR764576 (86b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR856148,
AUTHOR = {Hambleton, Ian and Madsen, Ib},
TITLE = {Local surgery obstructions and space forms},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {193},
YEAR = {1986},
NUMBER = {2},
PAGES = {191--214},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57R67 (18F25 19M05 57S17 57S25)},
MRNUMBER = {MR856148 (87k:57025)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR922660,
AUTHOR = {Hambleton, Ian and Milgram, R. J. and Taylor, Laurence R. and Williams,
Bruce},
TITLE = {Surgery with finite fundamental group},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {56},
YEAR = {1988},
NUMBER = {2},
PAGES = {349--379},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (19L64 57R65)},
MRNUMBER = {MR922660 (89c:57043)},
MRREVIEWER = {A. A. Ranicki},
}
@article{hambinert,
title = {Surgery obstructions on closed manifolds and the inertia subgroup},
url = {http://arxiv.org/abs/0905.0104},
author = {Hambleton, Ian},
year = {2009},
}
@article {MR0407848,
AUTHOR = {Hamilton, A. J. S.},
TITLE = {The triangulation of {$3$}-manifolds},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {27},
YEAR = {1976},
NUMBER = {105},
PAGES = {63--70},
ISSN = {0033-5606},
MRCLASS = {57C15},
MRNUMBER = {0407848 (53 \#11618)},
MRREVIEWER = {Mario Pezzana},
}
@book {MR0213217,
AUTHOR = {Hamilton, William Rowan},
TITLE = {The mathematical papers of {S}ir {W}illiam {R}owan {H}amilton.
{V}ol. {III}: {A}lgebra},
SERIES = {Edited by H. Halberstam and R. E. Ingram. Cunningham Memoir
No. XV},
PUBLISHER = {Cambridge University Press},
ADDRESS = {London},
YEAR = {1967},
PAGES = {xxiv+672 pp. (1 plate)},
MRCLASS = {01.60},
MRNUMBER = {MR0213217 (35 \#4081)},
MRREVIEWER = {Kenneth May},
}
@article {MR0402786,
AUTHOR = {Alexander, J. P. and Hamrick, G. C. and Vick, J. W.},
TITLE = {Linking forms and maps of odd prime order},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {221},
YEAR = {1976},
NUMBER = {1},
PAGES = {169--185},
ISSN = {0002-9947},
MRCLASS = {57E15 (57D85)},
MRNUMBER = {MR0402786 (53 \#6600)},
MRREVIEWER = {R. E. Stong},
}
@incollection {MR520493,
AUTHOR = {Alexander, J. P. and Conner, P. E. and Hamrick, G. C.},
TITLE = {Metabolic and hyperbolic forms},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {61--65},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R67 (10C05 18F25 57R85)},
MRNUMBER = {520493 (80e:57038)},
MRREVIEWER = {J. P. Levine},
}
@article {MR2475024,
AUTHOR = {Hanke, Bernhard and Sanyal, Raman and Schultz, Carsten and
Ziegler, G{\"u}nter M.},
TITLE = {Combinatorial {S}tokes formulas via minimal resolutions},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {116},
YEAR = {2009},
NUMBER = {2},
PAGES = {404--420},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {05A99},
MRNUMBER = {MR2475024},
DOI = {10.1016/j.jcta.2008.06.009},
URL = {http://dx.doi.org/10.1016/j.jcta.2008.06.009},
}
@article {MR0043459,
AUTHOR = {Hanner, Olof},
TITLE = {Some theorems on absolute neighborhood retracts},
JOURNAL = {Ark. Mat.},
FJOURNAL = {Arkiv f\"or Matematik},
VOLUME = {1},
YEAR = {1951},
PAGES = {389--408},
ISSN = {0004-2080},
MRCLASS = {56.0X},
MRNUMBER = {MR0043459 (13,266d)},
MRREVIEWER = {E. G. Begle},
}
@article {MR0322900,
AUTHOR = {Hansen, Vagn Lundsgaard},
TITLE = {On the homotopy type of certain spaces of differentiable maps},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {30},
YEAR = {1972},
PAGES = {75--87},
ISSN = {0025-5521},
MRCLASS = {58D10 (58B05)},
MRNUMBER = {0322900 (48 \#1261)},
MRREVIEWER = {R. S. Palais},
}
@article {MR0341477,
AUTHOR = {Hansen, Vagn Lundsgaard},
TITLE = {On the fundamental group of a mapping space. {A}n example},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {28},
YEAR = {1974},
PAGES = {33--36},
ISSN = {0010-437X},
MRCLASS = {55D35},
MRNUMBER = {0341477 (49 \#6228)},
MRREVIEWER = {S. S. Cairns},
}
@book{hanson,
author="Hanson, A. J.",
title="{Visalizing quaternions}",
publisher="{Morgan Kaufmann Elsevier}",
year="2006",
}
@book{1106.16300,
author="Angeleri H{\"u}gel, Lidia (ed.) and Happel, Dieter (ed.) and Krause,
Henning (ed.)",
title="{Handbook of tilting theory.}",
language="English",
publisher="{London Mathematical Society Lecture Note Series 332. Cambridge:
Cambridge University Press. viii, 472~p. \sterling~43.00; \$~80.00 }",
year="2007",
abstract="{The articles of this volume will be reviewed individually.}",
classmath="{*16-06 (Proceedings of conferences (assoc. rings and algebras))
00B15 (Collections of articles of miscellaneous specific interest)
}",
}
@article {MR794414,
AUTHOR = {Hardie, K. A. and Kamps, K. H.},
TITLE = {Exact sequence interlocking and free homotopy theory},
JOURNAL = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
FJOURNAL = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle
Cat\'egoriques},
VOLUME = {26},
YEAR = {1985},
NUMBER = {1},
PAGES = {3--31},
ISSN = {0008-0004},
MRCLASS = {55Q99 (20F38)},
MRNUMBER = {MR794414 (87g:55027)},
MRREVIEWER = {J. W. Rutter},
}
@article {MR923628,
AUTHOR = {Hardie, K. A. and Kamps, K. H.},
TITLE = {Homotopy over {$B$} and under {$A$}},
JOURNAL = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
FJOURNAL = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle
Cat\'egoriques},
VOLUME = {28},
YEAR = {1987},
NUMBER = {3},
PAGES = {183--196},
ISSN = {0008-0004},
MRCLASS = {55P99},
MRNUMBER = {MR923628 (89d:55032)},
MRREVIEWER = {J. W. Rutter},
}
@book {MR568909,
AUTHOR = {Hardy, G. H. and Wright, E. M.},
TITLE = {An introduction to the theory of numbers},
EDITION = {Fifth},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xvi+426},
ISBN = {0-19-853170-2; 0-19-853171-0},
MRCLASS = {10-01},
MRNUMBER = {MR568909 (81i:10002)},
MRREVIEWER = {T. M. Apostol},
}
@incollection {MR2405684,
AUTHOR = {Edelsbrunner, Herbert and Harer, John},
TITLE = {Persistent homology---a survey},
BOOKTITLE = {Surveys on discrete and computational geometry},
SERIES = {Contemp. Math.},
VOLUME = {453},
PAGES = {257--282},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {55N35 (55T05 57M99)},
MRNUMBER = {MR2405684},
}
@article {MR700769,
AUTHOR = {Harer, John},
TITLE = {The second homology group of the mapping class group of an
orientable surface},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {72},
YEAR = {1983},
NUMBER = {2},
PAGES = {221--239},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57M99 (20F34 57M05)},
MRNUMBER = {MR700769 (84g:57006)},
MRREVIEWER = {W. D. Neumann},
}
@incollection {edelcsh,
AUTHOR = {Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John},
TITLE = {Extending persistent homology using Poincare and Lefschetz duality},
}
@book {MR2572029,
AUTHOR = {Edelsbrunner, Herbert and Harer, John L.},
TITLE = {Computational topology},
NOTE = {An introduction},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2010},
PAGES = {xii+241},
ISBN = {978-0-8218-4925-5},
MRCLASS = {00-02 (05C10 52-02 55-02 57-02 65D18 68U05)},
MRNUMBER = {2572029 (2011e:00001)},
MRREVIEWER = {Andrzej Kozlowski},
}
@book {MR1786869,
AUTHOR = {de la Harpe, Pierre},
TITLE = {Topics in geometric group theory},
SERIES = {Chicago Lectures in Mathematics},
PUBLISHER = {University of Chicago Press},
ADDRESS = {Chicago, IL},
YEAR = {2000},
PAGES = {vi+310},
ISBN = {0-226-31719-6; 0-226-31721-8},
MRCLASS = {20F65 (20F69 57M07)},
MRNUMBER = {MR1786869 (2001i:20081)},
MRREVIEWER = {Lee Mosher},
}
@article {MR874691,
AUTHOR = {de la Harpe, Pierre and Kervaire, M. and Weber, Claude},
TITLE = {On the {J}ones polynomial},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {32},
YEAR = {1986},
NUMBER = {3-4},
PAGES = {271--335},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {57M25 (20F38 46L99)},
MRNUMBER = {MR874691 (88f:57004)},
MRREVIEWER = {J. S. Birman},
}
@book {MR1913285,
AUTHOR = {Harper, John R.},
TITLE = {Secondary cohomology operations},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {49},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2002},
PAGES = {xii+268},
ISBN = {0-8218-3198-4},
MRCLASS = {55S20 (55-01 55R20 55S10)},
MRNUMBER = {MR1913285 (2004c:55035)},
MRREVIEWER = {Lionel Schwartz},
}
@book {MR643101,
AUTHOR = {Greenberg, Marvin J. and Harper, John R.},
TITLE = {Algebraic topology},
SERIES = {Mathematics Lecture Note Series},
VOLUME = {58},
NOTE = {A first course},
PUBLISHER = {Benjamin/Cummings Publishing Co. Inc. Advanced Book Program},
ADDRESS = {Reading, Mass.},
YEAR = {1981},
PAGES = {xi+311 pp. (loose errata)},
ISBN = {0-8053-3558-7; 0-8053-3557-9},
MRCLASS = {55-01},
MRNUMBER = {MR643101 (83b:55001)},
MRREVIEWER = {J. P. May},
}
@book {MR1730819,
AUTHOR = {Eisenbud, David and Harris, Joe},
TITLE = {The geometry of schemes},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {197},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2000},
PAGES = {x+294},
ISBN = {0-387-98638-3; 0-387-98637-5},
MRCLASS = {14A15 (14-01 14C05 14H50 14N05)},
MRNUMBER = {1730819 (2001d:14002)},
MRREVIEWER = {Allen B. Altman},
}
@book {MR507725,
AUTHOR = {Griffiths, Phillip and Harris, Joseph},
TITLE = {Principles of algebraic geometry},
NOTE = {Pure and Applied Mathematics},
PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]},
ADDRESS = {New York},
YEAR = {1978},
PAGES = {xii+813},
ISBN = {0-471-32792-1},
MRCLASS = {14-01},
MRNUMBER = {MR507725 (80b:14001)},
MRREVIEWER = {Gerhard Pfister},
}
@article {MR2153977,
AUTHOR = {Harvey, Shelly},
TITLE = {Higher-order polynomial invariants of 3-manifolds giving lower
bounds for the {T}hurston norm},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {44},
YEAR = {2005},
NUMBER = {5},
PAGES = {895--945},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M27},
MRNUMBER = {MR2153977 (2006g:57019)},
MRREVIEWER = {Stephan Tillmann},
}
@article {MR2308963,
AUTHOR = {Harvey, Shelly and Friedl, Stefan},
TITLE = {Non-commutative multivariable {R}eidemester torsion and the
{T}hurston norm},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {7},
YEAR = {2007},
PAGES = {755--777},
MRCLASS = {57M27 (57N10)},
MRNUMBER = {MR2308963},
}
@article{cochran_higher-order_2010,
title = {Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders},
url = {http://arxiv.org/abs/1003.4977},
abstract = {We define families of invariants for elements of the mapping class group of S, a compact orientable surface. Fix any characteristic subgroup H of {pi\_1(S)} and restrict to {J(H),} any subgroup of mapping classes that induce the identity modulo H. To any unitary representation, r of {pi\_1(S)/H} we associate a higher-order rho\_r-invariant and a signature 2-cocycle sigma\_r. These signature cocycles are shown to be generalizations of the Meyer cocycle. In particular each rho\_r is a quasimorphism and each sigma\_r is a bounded 2-cocycle on {J(H).} In one of the simplest non-trivial cases, by varying r, we exhibit infinite families of linearly independent quasimorphisms and signature cocycles. We show that the rho\_r restrict to homomorphisms on certain interesting subgroups. Many of these invariants extend naturally to the full mapping class group and some extend to the monoid of homology cylinders based on S.},
journal = {1003.4977},
author = {Tim D. Cochran and Shelly Harvey and Peter Horn},
month = mar,
year = {2010},
keywords = {{57M07} (primary) {57S05} {57M99,} {32G15} (secondary), Mathematics - Geometric Topology},
}
@article{cochran_knot_2007,
title = {Knot concordance and Blanchfield duality},
url = {http://arxiv.org/abs/0705.3987},
abstract = {We introduce a new technique for showing classical knots and links are not slice. As one application we resolve a long-standing question as to whether certain natural families of knots contain topologically slice knots. We also present a simpler proof of the result of {Cochran-Teichner} that the successive quotients of the integral terms of the {Cochran-Orr-Teichner} filtration of the knot concordance group have rank 1. For links we have similar results. We show that the iterated Bing doubles of many algebraically slice knots are not topologically slice. Some of the proofs do not use the existence of the {Cheeger-Gromov} bound, a deep analytical tool used by {Cochran-Teichner.} Our main examples are actually boundary links but cannot be detected in the algebraic boundary link concordance group, nor by any \${\textbackslash}rho\$ invariants associated to solvable representations into finite unitary groups.},
journal = {0705.3987},
author = {Cochran, Tim D. and Harvey, Shelly and Leidy, Constance},
month = may,
year = {2007},
keywords ="{57M25}, Mathematics - Geometric Topology
}
@article{cochran_primary_2009,
title = {Primary decomposition and the fractal nature of knot concordance},
url = {http://arxiv.org/abs/0906.1373},
abstract = {For each sequence of polynomials, P=(p\_1(t),p\_2(t),...), we define a characteristic series of groups, called the derived series localized at P. Given a knot K in S{\textasciicircum}3, such a sequence of polynomials arises naturally as the orders of certain submodules of the sequence of higher-order Alexander modules of K. These group series yield new filtrations of the knot concordance group that refine the (n)-solvable filtration of {Cochran-Orr-Teichner.} We show that the quotients of successive terms of these refined filtrations have infinite rank. These results also suggest higher-order analogues of the p(t)-primary decomposition of the algebraic concordance group. We use these techniques to give evidence that the set of smooth concordance classes of knots is a fractal set. We also show that no {Cochran-Orr-Teichner} knot is concordant to any {Cochran-Harvey-Leidy} knot.},
journal = {0906.1373},
author = {Tim D. Cochran and Shelly Harvey and Constance Leidy},
month = jun,
year = {2009},
keywords = {{57M25,} {20J05,} Mathematics - Geometric Topology, Mathematics - Group Theory},
}
@article {cohale,
AUTHOR = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
TITLE = {Knot concordance and higher-order Blanchfield duality},
}
@article{cohale2,
title = {Derivatives of knots and second-order signatures},
author = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
journal = {Algebraic & Geometric Topology},
volume = {10},
year = {2010},
pages = {739�787},
}
@article {MR1445554,
AUTHOR = {Hassell, Andrew and Mazzeo, Rafe and Melrose, Richard B.},
TITLE = {A signature formula for manifolds with corners of codimension
two},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {36},
YEAR = {1997},
NUMBER = {5},
PAGES = {1055--1075},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58G10 (58G20)},
MRNUMBER = {MR1445554 (98c:58163)},
MRREVIEWER = {Gilles Carron},
}
@book {MR0428322,
AUTHOR = {Edwards, David A. and Hastings, Harold M.},
TITLE = {\v {C}ech and {S}teenrod homotopy theories with applications
to geometric topology},
SERIES = {Lecture Notes in Mathematics, Vol. 542},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1976},
PAGES = {vii+296},
MRCLASS = {55D99 (55B05)},
MRNUMBER = {0428322 (55 \#1347)},
MRREVIEWER = {Claude Schochet},
}
@article {MR590209,
AUTHOR = {Edwards, David A. and Hastings, Harold M.},
TITLE = {\v {C}ech theory: its past, present, and future},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {10},
YEAR = {1980},
NUMBER = {3},
PAGES = {429--468},
ISSN = {0035-7596},
CODEN = {RMJMAE},
MRCLASS = {55P55 (14A15 14F35 57N25 58G12)},
MRNUMBER = {590209 (82b:55010)},
MRREVIEWER = {Ross Geoghegan},
DOI = {10.1216/RMJ-1980-10-3-429},
URL = {http://dx.doi.org/10.1216/RMJ-1980-10-3-429},
}
@article {MR0353322,
AUTHOR = {Hatcher, Allen and Quinn, Frank},
TITLE = {Bordism invariants of intersections of submanifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {200},
YEAR = {1974},
PAGES = {327--344},
MRCLASS = {57C35 (57D40)},
MRNUMBER = {MR0353322 (50 \#5806)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0383424,
AUTHOR = {Hatcher, Allen},
TITLE = {Higher simple homotopy theory},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {102},
YEAR = {1975},
NUMBER = {1},
PAGES = {101--137},
ISSN = {0003-486X},
MRCLASS = {57C10},
MRNUMBER = {MR0383424 (52 \#4305)},
MRREVIEWER = {Laurence Taylor},
}
@book {MR1867354,
AUTHOR = {Hatcher, Allen},
TITLE = {Algebraic topology},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2002},
PAGES = {xii+544},
ISBN = {0-521-79160-X; 0-521-79540-0},
MRCLASS = {55-01 (55-00)},
MRNUMBER = {MR1867354 (2002k:55001)},
MRREVIEWER = {Donald W. Kahn},
}
@incollection {hatchertn,
AUTHOR = {Hatcher, Allen},
TITLE = {Topology of numbers},
}
@article {hatchertorus,
AUTHOR = {Hatcher, Allen},
TITLE = {The Kirby torus trick for surfaces},
YEAR={2013},
}
@book {vb,
AUTHOR = {Hatcher, Allen},
TITLE = {Vector bundles and K-theory},
}
@article {MR0362366,
AUTHOR = {Hauschild, Henning},
TITLE = {Bordismentheorie stabil gerahmter {$G$}-{M}annigfaltigkeiten},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {139},
YEAR = {1974},
PAGES = {165--171},
ISSN = {0025-5874},
MRCLASS = {57D85},
MRNUMBER = {MR0362366 (50 \#14808)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0385899,
AUTHOR = {Hauschild, Henning},
TITLE = {Allgemeine {L}age und \"aquivariante {H}omotopie},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {143},
YEAR = {1975},
NUMBER = {2},
PAGES = {155--164},
ISSN = {0025-5874},
MRCLASS = {57D85 (55E45)},
MRNUMBER = {MR0385899 (52 \#6758)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR0402787,
AUTHOR = {Hauschild, Henning},
TITLE = {\"{A}quivariante {T}ransversalit\"at und \"aquivariante
{B}ordismentheorien},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {26},
YEAR = {1975},
NUMBER = {5},
PAGES = {536--546},
ISSN = {0003-889X},
MRCLASS = {57E15 (57D85 57D45 58C25)},
MRNUMBER = {MR0402787 (53 \#6601)},
MRREVIEWER = {K. Lamotke},
}
@article {MR0500966,
AUTHOR = {Hauschild, Henning},
TITLE = {Zerspaltung \"aquivarianter {H}omotopiemengen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {230},
YEAR = {1977},
NUMBER = {3},
PAGES = {279--292},
ISSN = {0025-5831},
MRCLASS = {55G37 (57E15)},
MRNUMBER = {MR0500966 (58 \#18451)},
MRREVIEWER = {H. Scheerer},
}
@book {MR0086020,
AUTHOR = {Hausdorff, Felix},
TITLE = {Set theory},
NOTE = {Translated by John R. Aumann, et al},
PUBLISHER = {Chelsea Publishing Company, New York},
YEAR = {1957},
PAGES = {352},
MRCLASS = {02.0X},
MRNUMBER = {0086020 (19,111a)},
}
@book {MR2478457,
AUTHOR = {Hausdorff, Felix},
TITLE = {Felix {H}ausdorff---gesammelte {W}erke. {B}and {III}},
NOTE = {Mengenlehre (1927, 1935): deskriptive Mengenlehre und
Topologie. [Set theory (1927, 1935): descriptive set theory
and topology],
Edited by U. Felgner, H. Herrlich, M. Hu{\v{s}}ek, V. Kanovei,
P. Koepke, G. Preu{\ss}, W. Purkert and E. Scholz},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2008},
PAGES = {xxii+1005},
ISBN = {978-3-540-76806-7},
MRCLASS = {01A75 (54-03 54-06)},
MRNUMBER = {2478457 (2009m:01014)},
MRREVIEWER = {Albert C. Lewis},
}
@article {MR0488072,
AUTHOR = {Hausmann, J. C. and Kervaire, M.},
TITLE = {Sous-groupes deriv\'es des groupes de noeuds},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {24},
YEAR = {1978},
NUMBER = {1-2},
PAGES = {111--123},
ISSN = {0013-8584},
MRCLASS = {57C45},
MRNUMBER = {MR0488072 (58 \#7643)},
MRREVIEWER = {J. P. Levine},
}
@book {MR0645392,
TITLE = {Knot theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {685},
BOOKTITLE = {Proceedings of a {S}eminar held in {P}lans-sur-{B}ex, 1977},
AUTHOR = {Hausmann, J. C.},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {ii+311},
ISBN = {3-540-08952-7},
MRCLASS = {57-06},
MRNUMBER = {MR0645392 (58 \#31084)},
}
@book {MR1238937,
AUTHOR = {Hausmann, J. C. and Vogel, Pierre},
TITLE = {Geometry on {P}oincar\'e spaces},
SERIES = {Mathematical Notes},
VOLUME = {41},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1993},
PAGES = {vi+255},
ISBN = {0-691-02113-9},
MRCLASS = {57R65 (57P10 57Q65 57R90)},
MRNUMBER = {1238937 (95a:57042)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR2171799,
AUTHOR = {Hausmann, J. C. and Holm, Tara and Puppe, Volker},
TITLE = {Conjugation spaces},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {5},
YEAR = {2005},
PAGES = {923--964 (electronic)},
ISSN = {1472-2747},
MRCLASS = {55N91 (57R22)},
MRNUMBER = {2171799 (2006e:55008)},
MRREVIEWER = {R. E. Stong},
DOI = {10.2140/agt.2005.5.923},
URL = {http://dx.doi.org/10.2140/agt.2005.5.923},
}
@article {MR0385865,
AUTHOR = {Haver, William E.},
TITLE = {Mappings between {${\rm ANR}$}s that are fine homotopy
equivalences},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {58},
YEAR = {1975},
NUMBER = {2},
PAGES = {457--461},
ISSN = {0030-8730},
MRCLASS = {57A15},
MRNUMBER = {0385865 (52 \#6724)},
MRREVIEWER = {D. R. McMillan, Jr.},
}
@article {MR1178148,
AUTHOR = {Gibbons, G. W. and Hawking, S. W.},
TITLE = {Selection rules for topology change},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {148},
YEAR = {1992},
NUMBER = {2},
PAGES = {345--352},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57R15 (57R20 83C99)},
MRNUMBER = {MR1178148 (94c:57042)},
MRREVIEWER = {Elmer G. Rees},
}
@article {MR1181660,
AUTHOR = {Gibbons, G. W. and Hawking, S. W.},
TITLE = {Kinks and topology change},
JOURNAL = {Phys. Rev. Lett.},
FJOURNAL = {Physical Review Letters},
VOLUME = {69},
YEAR = {1992},
NUMBER = {12},
PAGES = {1719--1721},
ISSN = {0031-9007},
CODEN = {PRLTAO},
MRCLASS = {83E05 (57R15 83C99)},
MRNUMBER = {MR1181660 (93f:83076)},
}
@article {MR1761426,
AUTHOR = {Bryden, J. and Hayat-Legrand, C. and Zieschang, Heiner and
Zvengrowski, P.},
TITLE = {The cohomology ring of a class of {S}eifert manifolds},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {105},
YEAR = {2000},
NUMBER = {2},
PAGES = {123--156},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N10 (55M30)},
MRNUMBER = {MR1761426 (2001d:57022)},
MRREVIEWER = {Bruno Zimmermann},
}
@article {MR2477589,
AUTHOR = {Hebda, James J. and Tsau, Chichen M.},
TITLE = {Normal holonomy and writhing number of smooth knots},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {17},
YEAR = {2008},
NUMBER = {12},
PAGES = {1483--1509},
ISSN = {0218-2165},
MRCLASS = {57M27 (53C29 57M25)},
MRNUMBER = {2477589 (2009k:57018)},
DOI = {10.1142/S0218216508006737},
URL = {http://dx.doi.org/10.1142/S0218216508006737},
}
@article{dehnheegaard,
author="Dehn, Max and Heegaard, P.",
title="{Analysis situs.}", journal="Enzyklop. d.
math.Wissensch. \text{III}_{1},",
pages="153-220",
year="1907",
}
@article{heegards,
AUTHOR = {Heegaard, P.},
TITLE = {Sur l'analysis situs},
}
@article{heegardt,
AUTHOR = {Heegaard, P.},
TITLE = {Thesis},
}
@book {MR1831554,
AUTHOR = {Heintz, Bettina},
TITLE = {Die {I}nnenwelt der {M}athematik},
SERIES = {\"Asthetik und Naturwissenschaften. Bildende
Wissenschaften---Zivilisierung der Kulturen. [Aesthetics and
Sciences. Artistic Sciences---Civilization of Cultures]},
NOTE = {Zur Kultur und Praxis einer beweisenden Disziplin. [On the
culture and practice of a discipline based on proofs]},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Vienna},
YEAR = {2000},
PAGES = {318},
ISBN = {3-211-82961-X},
MRCLASS = {00A30 (00A35 01A80)},
MRNUMBER = {1831554 (2002c:00010)},
MRREVIEWER = {Eduard Glas},
}
@article {MR0174605,
AUTHOR = {Bass, H. and Heller, A. and Swan, R. G.},
TITLE = {The {W}hitehead group of a polynomial extension},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
NUMBER = {22},
YEAR = {1964},
PAGES = {61--79},
MRCLASS = {18.20 (16.90)},
MRNUMBER = {MR0174605 (30 \#4806)},
MRREVIEWER = {J. F. Adams},
}
@book {MR2098385,
AUTHOR = {Hempel, John},
TITLE = {3M},
NOTE = {Reprint of the 1976 original},
PUBLISHER = {AMS Chelsea Publishing, Providence, RI},
YEAR = {2004},
PAGES = {xii+195},
ISBN = {0-8218-3695-1},
MRCLASS = {57N10},
MRNUMBER = {MR2098385 (2005e:57053)},
}
@book {MR1280460,
AUTHOR = {Henle, Michael},
TITLE = {A combinatorial introduction to topology},
NOTE = {Corrected reprint of the 1979 original [Freeman, San
Francisco, CA; MR0550879 (81g:55001)]},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {x+310},
ISBN = {0-486-67966-7},
MRCLASS = {55-01 (57-01)},
MRNUMBER = {MR1280460},
}
@article {MR1467643,
AUTHOR = {Herald, Christopher M.},
TITLE = {Existence of irreducible representations for knot complements
with nonconstant equivariant signature},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {309},
YEAR = {1997},
NUMBER = {1},
PAGES = {21--35},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57M25 (57M05 57R57 58J28)},
MRNUMBER = {MR1467643 (2000b:57006)},
MRREVIEWER = {Daniel Ruberman},
DOI = {10.1007/s002080050099},
URL = {http://dx.doi.org/10.1007/s002080050099},
}
@article {MR1825661,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul
and Klassen, Eric},
TITLE = {Gauge theoretic invariants of {D}ehn surgeries on knots},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {5},
YEAR = {2001},
PAGES = {143--226 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R57 (58J28 58J30)},
MRNUMBER = {MR1825661 (2002e:57041)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.2140/gt.2001.5.143},
URL = {http://dx.doi.org/10.2140/gt.2001.5.143},
}
@incollection {MR2114487,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The {C}alder\'on projector for the odd signature operator and
spectral flow calculations in 3-dimensional topology},
BOOKTITLE = {Spectral geometry of manifolds with boundary and decomposition
of manifolds},
SERIES = {Contemp. Math.},
VOLUME = {366},
PAGES = {125--150},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2005},
MRCLASS = {58J30 (57M27 58J28)},
MRNUMBER = {MR2114487 (2005k:58039)},
MRREVIEWER = {Tatyana E. Foth},
}
@article {MR2191768,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The integer valued {${\rm SU}(3)$} {C}asson invariant for
{B}rieskorn spheres},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {71},
YEAR = {2005},
NUMBER = {1},
PAGES = {23--83},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57M27 (57R57 58J30)},
MRNUMBER = {MR2191768 (2006j:57026)},
MRREVIEWER = {Nikolai N. Saveliev},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1143644312},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@article {MR974999,
AUTHOR = {Conway, John B. and Herrero, Domingo A. and Morrel, Bernard
B.},
TITLE = {Completing the {R}iesz-{D}unford functional calculus},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {82},
YEAR = {1989},
NUMBER = {417},
PAGES = {iv+104},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {47A60 (47A55)},
MRNUMBER = {MR974999 (90m:47023)},
MRREVIEWER = {Lawrence Fialkow},
}
@article {MR1926889,
AUTHOR = {Hess, Kathryn and Parent, Paul-Eug{\`e}ne},
TITLE = {Emergence of the {W}itt group in the cellular lattice of
rational spaces},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {354},
YEAR = {2002},
NUMBER = {11},
PAGES = {4571--4583 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P15 (11E04 55P60 55P62)},
MRNUMBER = {MR1926889 (2003h:55010)},
MRREVIEWER = {David A. Blanc},
}
@article {MR1256620,
AUTHOR = {Heusener, Michael},
TITLE = {{${\rm SO}\sb 3({\bf R})$}-representation curves for
two-bridge knot groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {298},
YEAR = {1994},
NUMBER = {2},
PAGES = {327--348},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57M25 (57M05)},
MRNUMBER = {MR1256620 (94m:57016)},
MRREVIEWER = {Michael Kapovich},
}
@article {MR1633375,
AUTHOR = {Heusener, Michael and Kroll, Jochen},
TITLE = {Deforming abelian {${\rm SU}(2)$}-representations of knot
groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {73},
YEAR = {1998},
NUMBER = {3},
PAGES = {480--498},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25},
MRNUMBER = {MR1633375 (99g:57008)},
MRREVIEWER = {Darren D. Long},
DOI = {10.1007/s000140050065},
URL = {http://dx.doi.org/10.1007/s000140050065},
}
@book {MR0179691,
AUTHOR = {Hicks, Noel J.},
TITLE = {Notes on differential geometry},
SERIES = {Van Nostrand Mathematical Studies, No. 3},
PUBLISHER = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London},
YEAR = {1965},
PAGES = {vi+183},
MRCLASS = {53.00},
MRNUMBER = {0179691 (31 \#3936)},
MRREVIEWER = {K. Nomizu},
}
@article {MR2372584,
AUTHOR = {Higham, Nicholas J.},
TITLE = {Cayley, {S}ylvester, and early matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {1},
PAGES = {39--43},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-03 (01A55)},
MRNUMBER = {MR2372584},
DOI = {10.1016/j.laa.2007.10.004},
URL = {http://dx.doi.org/10.1016/j.laa.2007.10.004},
}
@book {MR2396439,
AUTHOR = {Higham, Nicholas J.},
TITLE = {Functions of matrices},
NOTE = {Theory and computation},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2008},
PAGES = {xx+425},
ISBN = {978-0-89871-646-7},
MRCLASS = {15-02 (93B40 93C05)},
MRNUMBER = {MR2396439 (2009b:15001)},
MRREVIEWER = {Daniel Kressner},
}
@article {MR0002137,
AUTHOR = {Higman, Graham},
TITLE = {The units of group-rings},
JOURNAL = {Proc. London Math. Soc. (2)},
VOLUME = {46},
YEAR = {1940},
PAGES = {231--248},
MRCLASS = {20.0X},
MRNUMBER = {MR0002137 (2,5b)},
MRREVIEWER = {M. Hall},
}
@book {MR1817560,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Analytic {$K$}-homology},
SERIES = {Oxford Mathematical Monographs},
NOTE = {Oxford Science Publications},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2000},
PAGES = {xviii+405},
ISBN = {0-19-851176-0},
MRCLASS = {58J22 (19D55 19K33 19K35 19K56 46L80 58J20)},
MRNUMBER = {1817560 (2002c:58036)},
MRREVIEWER = {Yuri A. Kordyukov},
}
@article {MR2220522,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {I}. {A}nalytic signatures},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {277--299},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67 58J22)},
MRNUMBER = {2220522 (2007c:19004)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1561-8},
URL = {http://dx.doi.org/10.1007/s10977-005-1561-8},
}
@article {MR2220523,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {II}. {G}eometric signatures},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {301--324},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67 58J22)},
MRNUMBER = {2220523 (2007c:19005)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1559-2},
URL = {http://dx.doi.org/10.1007/s10977-005-1559-2},
}
@article {MR2220524,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {III}. {E}xact sequences},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {325--346},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67)},
MRNUMBER = {2220524 (2007c:19006)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1554-7},
URL = {http://dx.doi.org/10.1007/s10977-005-1554-7},
}
@book {MR0046650,
AUTHOR = {Hilbert, David and Cohn-Vossen, S.},
TITLE = {Geometry and the imagination},
NOTE = {Translated by P. Nem{\'e}nyi},
PUBLISHER = {Chelsea Publishing Company, New York, N. Y.},
YEAR = {1952},
PAGES = {ix+357},
MRCLASS = {48.0X},
MRNUMBER = {0046650 (13,766c)},
}
@article {MR1510683,
AUTHOR = {Hilbert, David},
TITLE = {Ueber die stetige {A}bbildung einer {L}ine auf ein
{F}l\"achenst\"uck},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {38},
YEAR = {1891},
NUMBER = {3},
PAGES = {459--460},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1510683},
}
@article {arfsol,
title = {On the non-existence of elements of Kervaire invariant one},
coden = {http://arxiv.org/abs/0908.3724},
journal = {0908.3724},
author = {Michael A. Hill and M.J. Hopkins and Douglas C. Ravenel},
month = aug,
year = {2009},
keywords = {{55P91,} {55Q45,} {55Q91,} {57R55,} {57R60,} {57R77,} {57R85,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article {MR1227006,
AUTHOR = {Farber, Michael and Hillman, J. A.},
TITLE = {Doubly null concordant knots have hyperbolic stable isometry
structures},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {2},
YEAR = {1993},
NUMBER = {2},
PAGES = {125--140},
ISSN = {0218-2165},
MRCLASS = {57Q45},
MRNUMBER = {1227006 (94i:57038)},
MRREVIEWER = {C. Kearton},
}
@book {MR1943724,
AUTHOR = {Hillman, J. A.},
TITLE = {Four-manifolds, geometries and knots},
SERIES = {Geometry \& Topology Monographs},
VOLUME = {5},
PUBLISHER = {Geometry \& Topology Publications, Coventry},
YEAR = {2002},
PAGES = {xiv+379},
MRCLASS = {57N16 (57N13 57Q45)},
MRNUMBER = {MR1943724 (2003m:57047)},
MRREVIEWER = {Alberto Cavicchioli},
}
@article {MR961617,
AUTHOR = {Hillman, J. A. and Kearton, C.},
TITLE = {Seifert matrices and {$6$}-knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {309},
YEAR = {1988},
NUMBER = {2},
PAGES = {843--855},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {MR961617 (89j:57015)},
MRREVIEWER = {Alexander I. Suciu},
}
@article{hillman_farbers_2013,
title = {On Farber's invariants for simple \$2q\$-knots},
url = {http://arxiv.org/abs/1302.6665},
abstract = {Let {\$K\$} be a simple \$2q\$-knot with
exterior {\$X\$.} We show directly how the Farber quintuple
\$(A,{\textbackslash}Pi,{\textbackslash}alpha,{\textbackslash}ell,{\textbackslash}psi)\$
determines the homotopy type of {\$X\$} if the torsion subgroup
of {\$A={\textbackslash}pi\_q(X)\$} has odd order. We comment
briefly on the possible role of the {EHP} sequence in
recovering the boundary inclusion from the duality pairings
\${\textbackslash}ell \$ and \${\textbackslash}psi\$. Finally
we reformulate the Farber quintuple as an hermitian
self-duality of an object in an additive category with
involution.},
urldate = {2013-02-28},
journal = {{arXiv:1302.6665}},
author = {Hillman, J. A.},
month = feb,
year = {2013},
keywords = {Mathematics - Geometric Topology},
}
@book {MR0056289,
AUTHOR = {Hilton, P. J.},
TITLE = {An introduction to homotopy theory},
SERIES = {Cambridge Tracts in Mathematics and Mathematical Physics, no.
43},
PUBLISHER = {Cambridge, at the University Press},
YEAR = {1953},
PAGES = {viii+142},
MRCLASS = {56.0X},
MRNUMBER = {0056289 (15,52c)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0069492,
AUTHOR = {Hilton, P. J.},
TITLE = {On the homotopy groups of unions of spaces},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {29},
YEAR = {1955},
PAGES = {59--92},
MRCLASS = {56.0X},
MRNUMBER = {MR0069492 (16,1043d)},
MRREVIEWER = {J. C. Moore},
}
@book {MR0115161,
AUTHOR = {Hilton, P. J. and Wylie, S.},
TITLE = {Homology theory: {A}n introduction to algebraic topology},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York},
YEAR = {1960},
PAGES = {xv+484},
MRCLASS = {55.00},
MRNUMBER = {MR0115161 (22 \#5963)},
MRREVIEWER = {A. Heller},
}
@article {MR0227250,
AUTHOR = {Hilton, P. J.},
TITLE = {On systems of interlocking exact sequences},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {61},
YEAR = {1967},
PAGES = {111--119},
ISSN = {0016-2736},
MRCLASS = {18.15},
MRNUMBER = {0227250 (37 \#2835)},
MRREVIEWER = {A. Dold},
}
@book {MR1438546,
AUTHOR = {Hilton, P. J. and Stammbach, U.},
TITLE = {A course in homological algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {4},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+364},
ISBN = {0-387-94823-6},
MRCLASS = {18-02 (17B56 18Gxx 20J05)},
MRNUMBER = {MR1438546 (97k:18001)},
}
@article {MR2146024,
AUTHOR = {Hilton, P. J. and Su, C. Joanna},
TITLE = {Further remarks on systems of interlocking exact sequences},
JOURNAL = {Int. J. Math. Math. Sci.},
FJOURNAL = {International Journal of Mathematics and Mathematical
Sciences},
YEAR = {2005},
NUMBER = {1},
PAGES = {155--162},
ISSN = {0161-1712},
MRCLASS = {18G99},
MRNUMBER = {2146024 (2006b:18017)},
MRREVIEWER = {Pedro Real Jurado},
DOI = {10.1155/IJMMS.2005.155},
URL = {http://dx.doi.org/10.1155/IJMMS.2005.155},
}
@article {MR2505128,
AUTHOR = {Boden, Hans U. and Himpel, Benjamin},
TITLE = {Splitting the spectral flow and the {${\rm SU}(3)$} {C}asson
invariant for spliced sums},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {9},
YEAR = {2009},
NUMBER = {2},
PAGES = {865--902},
ISSN = {1472-2747},
MRCLASS = {58J30 (57Mxx 57Rxx)},
MRNUMBER = {MR2505128},
DOI = {10.2140/agt.2009.9.865},
URL = {http://dx.doi.org/10.2140/agt.2009.9.865},
}
@incollection {MR2145075,
AUTHOR = {Hinton, Don},
TITLE = {Sturm's 1836 oscillation results evolution of the theory},
BOOKTITLE = {Sturm-{L}iouville theory},
PAGES = {1--27},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {2005},
MRCLASS = {34C10 (01A55 34-03 34C11)},
MRNUMBER = {MR2145075},
@incollection {MR2145076,
AUTHOR = {Simon, Barry},
TITLE = {Sturm oscillation and comparison theorems},
BOOKTITLE = {Sturm-{L}iouville theory},
PAGES = {29--43},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {2005},
MRCLASS = {34C10 (34C11 39A11 47E05)},
MRNUMBER = {MR2145076},
}
@article {MR0119214,
AUTHOR = {Hirsch, Morris W.},
TITLE = {Immersions of manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {93},
YEAR = {1959},
PAGES = {242--276},
MRCLASS = {57.00},
MRNUMBER = {MR0119214 (22 \#9980)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0143224,
AUTHOR = {Haefliger, Andr{\'e} and Hirsch, Morris W.},
TITLE = {Immersions in the stable range},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {75},
YEAR = {1962},
PAGES = {231--241},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {MR0143224 (26 \#784)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0149493,
AUTHOR = {Hirsch, Morris W.},
TITLE = {Obstruction theories for smoothing manifolds and maps},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {69},
YEAR = {1963},
PAGES = {352--356},
ISSN = {0002-9904},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0149493 (26 \#6980)},
MRREVIEWER = {William Browder},
}
@article {MR0193639,
AUTHOR = {Hirsch, Morris W. and Neuwirth, Lee P.},
TITLE = {On piecewise regular {$n$}-knots},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {80},
YEAR = {1964},
PAGES = {594--612},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {0193639 (33 \#1855)},
MRREVIEWER = {F. Raymond},
}
@book {MR0415630,
AUTHOR = {Hirsch, Morris W. and Mazur, Barry},
TITLE = {Smoothings of piecewise linear manifolds},
NOTE = {Annals of Mathematics Studies, No. 80},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1974},
PAGES = {ix+134},
MRCLASS = {57D10},
MRNUMBER = {MR0415630 (54 \#3711)},
MRREVIEWER = {J. P. E. Hodgson},
}
@book {MR0448362,
AUTHOR = {Hirsch, Morris W.},
TITLE = {Differential topology},
NOTE = {Graduate Texts in Mathematics, No. 33},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1976},
PAGES = {x+221},
MRCLASS = {57DXX (58-01)},
MRNUMBER = {MR0448362 (56 \#6669)},
MRREVIEWER = {Ulrich Koschorke},
}
@incollection {MR1246112,
AUTHOR = {Hirsch, Morris W.},
TITLE = {The work of {S}tephen {S}male in differential topology},
BOOKTITLE = {From {T}opology to {C}omputation: {P}roceedings of the
{S}malefest ({B}erkeley, {CA}, 1990)},
PAGES = {83--106},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1993},
MRCLASS = {57-03},
MRNUMBER = {MR1246112 (97b:57001)},
MRREVIEWER = {R. E. Stong},
}
@book {MR1944041,
AUTHOR = {Hirschhorn, Philip S.},
TITLE = {Model categories and their localizations},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {99},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2003},
PAGES = {xvi+457},
ISBN = {0-8218-3279-4},
MRCLASS = {18G55 (55P60 55U35)},
MRNUMBER = {1944041 (2003j:18018)},
MRREVIEWER = {David A. Blanc},
}
@article {MR524319,
AUTHOR = {Hirschhorn, Philip S.},
TITLE = {Coherent group rings and finiteness conditions for
{CW}-complexes},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {74},
YEAR = {1979},
NUMBER = {2},
PAGES = {368--370},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55P99 (16A27)},
MRNUMBER = {MR524319 (81b:55034)},
MRREVIEWER = {Kee Yuen Lam},
}
@article {MR0045384,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {\"{U}ber eine {K}lasse von einfachzusammenh\"angenden
komplexen {M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {124},
YEAR = {1951},
PAGES = {77--86},
ISSN = {0025-5831},
MRCLASS = {56.0X},
MRNUMBER = {MR0045384 (13,574e)},
MRREVIEWER = {S. S. Cairns},
}
@article {MR0062842,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {\"{U}ber vierdimensionale {R}iemannsche {F}l\"achen
mehrdeutiger analytischer {F}unktionen von zwei komplexen
{V}er\"anderlichen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {126},
YEAR = {1953},
PAGES = {1--22},
ISSN = {0025-5831},
MRCLASS = {30.0X},
MRNUMBER = {MR0062842 (16,26d)},
MRREVIEWER = {P. Dolbeault},
}
@article {MR0063670,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {On {S}teenrod's reduced powers, the index of inertia, and the
{T}odd genus},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
VOLUME = {39},
YEAR = {1953},
PAGES = {951--956},
MRCLASS = {56.0X},
MRNUMBER = {MR0063670 (16,159f)},
MRREVIEWER = {B. Eckmann},
}
@article {MR0087943,
AUTHOR = {Chern, S. S. and Hirzebruch, F. and Serre, Jean-Pierre},
TITLE = {On the index of a fibered manifold},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {8},
YEAR = {1957},
PAGES = {587--596},
MRCLASS = {55.0X},
MRNUMBER = {MR0087943 (19,441c)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0100844,
AUTHOR = {Hirzebruch, Friedrich and Hopf, Heinz},
TITLE = {Felder von {F}l\"achenelementen in 4-dimensionalen
{M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
VOLUME = {136},
YEAR = {1958},
PAGES = {156--172},
MRCLASS = {55.00},
MRNUMBER = {MR0100844 (20 \#7272)},
MRREVIEWER = {R. Bott},
}
@article {MR0102800,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {I}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {80},
YEAR = {1958},
PAGES = {458--538},
ISSN = {0002-9327},
MRCLASS = {55.00 (22.00)},
MRNUMBER = {MR0102800 (21 \#1586)},
MRREVIEWER = {R. Bott},
}
@article {MR0110105,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {II}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {81},
YEAR = {1959},
PAGES = {315--382},
ISSN = {0002-9327},
MRCLASS = {57.00},
MRNUMBER = {MR0110105 (22 \#988)},
MRREVIEWER = {R. Bott},
}
@article {MR0110106,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Riemann-{R}och theorems for differentiable manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {65},
YEAR = {1959},
PAGES = {276--281},
ISSN = {0002-9904},
MRCLASS = {57.00},
MRNUMBER = {0110106 (22 \#989)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0120664,
AUTHOR = {Borel, A. and Hirzebruch, F.},
TITLE = {Characteristic classes and homogeneous spaces. {III}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {82},
YEAR = {1960},
PAGES = {491--504},
ISSN = {0002-9327},
MRCLASS = {57.00},
MRNUMBER = {MR0120664 (22 \#11413)},
MRREVIEWER = {R. Bott},
}
@article {MR0126282,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Bott periodicity and the parallelizability of the spheres},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {57},
YEAR = {1961},
PAGES = {223--226},
MRCLASS = {55.50 (55.60)},
MRNUMBER = {0126282 (23 \#A3578)},
MRREVIEWER = {M. A. Kervaire},
}
@incollection {MR0139181,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Vector bundles and homogeneous spaces},
BOOKTITLE = {Proc. {S}ympos. {P}ure {M}ath., {V}ol. {III}},
PAGES = {7--38},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1961},
MRCLASS = {57.30 (14.52)},
MRNUMBER = {0139181 (25 \#2617)},
MRREVIEWER = {R. Bott},
}
@article {MR0154294,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Charakteristische {K}lassen und {A}nwendungen},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {7},
YEAR = {1961},
PAGES = {188--213 (1962)},
ISSN = {0013-8584},
MRCLASS = {57.32},
MRNUMBER = {MR0154294 (27 \#4243)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0156361,
AUTHOR = {Atiyah, M. F. and Hirzebruch, F.},
TITLE = {Cohomologie-{O}perationen und charakteristische {K}lassen},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {77},
YEAR = {1961},
PAGES = {149--187},
ISSN = {0025-5874},
MRCLASS = {57.32},
MRNUMBER = {MR0156361 (27 \#6285)},
MRREVIEWER = {M. A. Kervaire},
}
@book {MR0202713,
AUTHOR = {Hirzebruch, F.},
TITLE = {Topological methods in algebraic geometry},
SERIES = {Third enlarged edition. New appendix and translation from the
second German edition by R. L. E. Schwarzenberger, with an
additional section by A. Borel. Die Grundlehren der
Mathematischen Wissenschaften, Band 131},
PUBLISHER = {Springer-Verlag New York, Inc., New York},
YEAR = {1966},
PAGES = {x+232},
MRCLASS = {14.00 (32.00)},
MRNUMBER = {MR0202713 (34 \#2573)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0217819,
AUTHOR = {Hirzebruch, F.},
TITLE = {\"{U}ber {S}ingularit\"aten komplexer {F}l\"achen},
JOURNAL = {Rend. Mat. e Appl. (5)},
VOLUME = {25},
YEAR = {1966},
PAGES = {213--232},
MRCLASS = {57.60 (14.00)},
MRNUMBER = {MR0217819 (36 \#908)},
MRREVIEWER = {A. Mattuck},
}
@incollection {MR0222911,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {Elliptische {D}ifferentialoperatoren auf {M}annigfaltigkeiten},
BOOKTITLE = {Arbeitsgemeinschaft f\"ur {F}orschung des {L}andes
{N}ordrhein-{W}estfalen, {N}atur-, {I}ngenieur- und
{G}esellschaftswissenschaften, {H}eft 157},
PAGES = {33--60},
PUBLISHER = {Westdeutscher Verlag},
ADDRESS = {Cologne},
YEAR = {1966},
MRCLASS = {57.50},
MRNUMBER = {MR0222911 (36 \#5961)},
}
@book {MR0229251,
AUTHOR = {Hirzebruch, F. and Mayer, K. H.},
TITLE = {{${\rm O}(n)$}-{M}annigfaltigkeiten, exotische {S}ph\"aren und
{S}ingularit\"aten},
SERIES = {Lecture Notes in Mathematics, No. 57},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1968},
PAGES = {iv+132},
MRCLASS = {57.31},
MRNUMBER = {MR0229251 (37 \#4825)},
MRREVIEWER = {C. B. Thomas},
}
@incollection {MR0258060,
AUTHOR = {Hirzebruch, F.},
TITLE = {The signature of ramified coverings},
BOOKTITLE = {Global {A}nalysis ({P}apers in {H}onor of {K}. {K}odaira)},
PAGES = {253--265},
PUBLISHER = {Univ. Tokyo Press},
ADDRESS = {Tokyo},
YEAR = {1969},
MRCLASS = {57.47},
MRNUMBER = {MR0258060 (41 \#2707)},
MRREVIEWER = {M. F. Atiyah},
}
@incollection {MR0259948,
AUTHOR = {Hirzebruch, F. and J{\"a}nich, K.},
TITLE = {Involutions and singularities},
BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst.
{F}und. {R}es., {B}ombay, 1968)},
PAGES = {219--240},
PUBLISHER = {Oxford Univ. Press},
ADDRESS = {London},
YEAR = {1969},
MRCLASS = {57.47},
MRNUMBER = {MR0259948 (41 \#4577)},
MRREVIEWER = {E. Brieskorn},
}
@incollection {MR0287574,
AUTHOR = {Hirzebruch, F.},
TITLE = {Free involutions on manifolds and some elementary number
theory},
BOOKTITLE = {Symposia {M}athematica, {V}ol. {V} ({INDAM}, {R}ome, 1969/70)},
PAGES = {411--419},
PUBLISHER = {Academic Press},
ADDRESS = {London},
YEAR = {1971},
MRCLASS = {57.47},
MRNUMBER = {MR0287574 (44 \#4778)},
MRREVIEWER = {C. B. Thomas},
}
@inproceedings {MR0336752,
AUTHOR = {Hirzebruch, F.},
TITLE = {Pontrjagin classes of rational homology manifolds and the
signature of some affine hypersurfaces},
BOOKTITLE = {Proceedings of {L}iverpool {S}ingularities {S}ymposium {II},
(1969/70)},
PAGES = {207--212. Lecture Notes in Math., Vol. 209},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57D45 (14F05 55F25)},
MRNUMBER = {MR0293647 (45 \#2724)},
}
@book {MR0341499,
AUTHOR = {Hirzebruch, F. and Neumann, W. D. and Koh, S. S.},
TITLE = {Differentiable manifolds and quadratic forms},
NOTE = {Appendix II by W. Scharlau,
Lecture Notes in Pure and Applied Mathematics, Vol. 4},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1971},
PAGES = {v+120},
MRCLASS = {57D20 (10C05)},
MRNUMBER = {MR0341499 (49 \#6250)},
MRREVIEWER = {A. Dold},
}
@incollection {MR0368023,
AUTHOR = {Hirzebruch, F.},
TITLE = {The signature theorem: reminiscences and recreation},
BOOKTITLE = {Prospects in mathematics ({P}roc. {S}ympos., {P}rinceton
{U}niv., {P}rinceton, {N}.{J}., 1970)},
PAGES = {3--31. Ann. of Math. Studies, No. 70},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1971},
MRCLASS = {57D20 (57E15)},
MRNUMBER = {MR0368023 (51 \#4265)},
MRREVIEWER = {D. Zagier},
}
@article {MR0393045,
AUTHOR = {Hirzebruch, F.},
TITLE = {Hilbert modular surfaces},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {19},
YEAR = {1973},
PAGES = {183--281},
ISSN = {0013-8584},
MRCLASS = {14J25 (14D20 32N05)},
MRNUMBER = {MR0393045 (52 \#13856)},
MRREVIEWER = {Don Zagier},
}
@incollection {MR0417187,
AUTHOR = {Hirzebruch, F.},
TITLE = {The {H}ilbert modular group, resolution of the singularities
at the cusps and related problems},
BOOKTITLE = {S\'eminaire {B}ourbaki, 23\`eme\ ann\'ee (1970/1971), {E}xp.
{N}o. 396},
PAGES = {275--288. Lecture Notes in Math., Vol. 244},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {14J25 (14D20 10D20)},
MRNUMBER = {MR0417187 (54 \#5245)},
MRREVIEWER = {William F. Hammond},
}
@book {MR0650832,
AUTHOR = {Hirzebruch, F. and Zagier, D.},
TITLE = {The {A}tiyah-{S}inger theorem and elementary number theory},
NOTE = {Mathematics Lecture Series, No. 3},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1974},
PAGES = {xii+262},
MRCLASS = {58G10 (10-02 57D20)},
MRNUMBER = {MR0650832 (58 \#31291)},
MRREVIEWER = {Harvey Cohn},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@incollection {MR1610436,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {Singularities and exotic spheres},
BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 10},
PAGES = {Exp.\ No.\ 314, 13--32},
PUBLISHER = {Soc. Math. France},
ADDRESS = {Paris},
YEAR = {1995},
MRCLASS = {57R60 (14B05 57R55 57R70)},
MRNUMBER = {MR1610436},
}
@incollection {MR1611536,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {The topology of normal singularities of an algebraic surface
(after {D}. {M}umford)},
BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 8},
PAGES = {Exp.\ No.\ 250, 129--137},
PUBLISHER = {Soc. Math. France},
ADDRESS = {Paris},
YEAR = {1995},
MRCLASS = {14J17},
MRNUMBER = {MR1611536},
}
@article {MR2536790,
AUTHOR = {Hirzebruch, F. and Kreck, Matthias},
TITLE = {On the concept of genus in topology and complex analysis},
JOURNAL = {Notices Amer. Math. Soc.},
FJOURNAL = {Notices of the American Mathematical Society},
VOLUME = {56},
YEAR = {2009},
NUMBER = {6},
PAGES = {713--719},
ISSN = {0002-9920},
CODEN = {AMNOAN},
MRCLASS = {57M50 (32-01)},
MRNUMBER = {2536790 (2010h:57030)},
}
@book {MR912097,
AUTHOR = {Barthel, Gottfried and Hirzebruch, Friedrich and H{\"o}fer,
Thomas},
TITLE = {Geradenkonfigurationen und {A}lgebraische {F}l\"achen},
SERIES = {Aspects of Mathematics, D4},
PUBLISHER = {Friedr. Vieweg \& Sohn},
ADDRESS = {Braunschweig},
YEAR = {1987},
PAGES = {xii+308},
ISBN = {3-528-08907-5},
MRCLASS = {14J29 (14J25)},
MRNUMBER = {912097 (89a:14045)},
MRREVIEWER = {H{\'e}l{\`e}ne Esnault},
}
@book {MR931775,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {Gesammelte {A}bhandlungen. {B}and {I}, {II}},
NOTE = {1951--1962,
1963--1987},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1987},
PAGES = {Vol.\ I: viii+814 pp; Vol.\ II: iv+818},
ISBN = {3-540-18087-7},
MRCLASS = {01A75},
MRNUMBER = {931775 (89h:01106)},
MRREVIEWER = {W. D. Neumann},
}
@article {bericht,
AUTHOR = {Hirzebruch, Friedrich},
TITLE = {Bericht ueber meine Zeit in der Schweiz in den Jahren 1948-1950},
YEAR = {2010},
}
@book{hirzebruch_manifolds_1992,
title = {Manifolds and modular forms},
isbn = {3-528-06414-5},
url = {http://portal.acm.org/citation.cfm?id=151091},
publisher = {Friedr. Vieweg {\textbackslash}\& Sohn Verlagsgesellschaft {mbH}},
author = {Friedrich Hirzebruch and Thomas Berger and Rainer Jung},
year = {1992},
annote = {Translator - Peter S. Landweber},
}
@article {hirzetheorie,
AUTHOR = {Hirzebruch, F.},
TITLE = {Zur Theorie der Mannigfaltigkeiten},
JOURNAL = {Int. Math. Nachrichten},
VOLUME = {67},
YEAR = {1961},
PAGES = {50},
}
@article {MR542100,
AUTHOR = {Hitt, L. R.},
TITLE = {Examples of higher-dimensional slice knots which are not
ribbon knots},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {77},
YEAR = {1979},
NUMBER = {2},
PAGES = {291--297},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57Q45},
MRNUMBER = {542100 (80k:57041)},
MRREVIEWER = {Wilbur Whitten},
DOI = {10.2307/2042654},
URL = {http://dx.doi.org/10.2307/2042654},
}
@article {MR663885,
AUTHOR = {Hitt, L. R. and Sumners, D. W.},
TITLE = {There exist arbitrarily many different disk knots with the
same exterior},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {86},
YEAR = {1982},
NUMBER = {1},
PAGES = {148--150},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57Q45},
MRNUMBER = {663885 (83i:57013)},
MRREVIEWER = {Bradd Evans Clark},
DOI = {10.2307/2044415},
URL = {http://dx.doi.org/10.2307/2044415},
}
@article{59.1313.03,
author={Hodge, W. V. D.},
title={The geometric genus of a surface as a topological invariant.},
journal={Journal L. M. S.},
volume={8},
pages={312-319},
year={1933},
}
@article{63.0621.05,
author="Hodge, W. V. D.",
title="Note on the theory of the base for curves on an algebraic surface.",
language="English",
journal="J. London math. Soc. ",
volume="12",
pages="58-63",
year="1937",
}
@article {MR0041438,
AUTHOR = {Hodge, W. V. D.},
TITLE = {A special type of {K}\"ahler manifold},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {1},
YEAR = {1951},
PAGES = {104--117},
ISSN = {0024-6115},
MRCLASS = {56.0X},
MRNUMBER = {MR0041438 (12,848b)},
MRREVIEWER = {S. Chern},
}
@article {MR1362839,
AUTHOR = {Hofer, H. and Zehnder, E.},
TITLE = {Symplectic invariants and {H}amiltonian dynamics},
BOOKTITLE = {The {F}loer memorial volume},
SERIES = {Progr. Math.},
VOLUME = {133},
PAGES = {525--544},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1995},
MRCLASS = {58F05 (57R15 58E05)},
MRNUMBER = {MR1362839 (96i:58053)},
MRREVIEWER = {Karl Friedrich Siburg},
}
@incollection {MR1082984,
AUTHOR = {Hog-Angeloni, Cynthia},
TITLE = {A short topological proof of {C}ohn's theorem},
BOOKTITLE = {Topology and combinatorial group theory (Hanover, NH,
1986/1987; Enfield, NH, 1988)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1440},
PAGES = {90--95},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
MRCLASS = {57M07 (16S34 20C07 55P15 57M20)},
MRNUMBER = {MR1082984 (92e:57003)},
MRREVIEWER = {Stephen J. Pride},
}
@book {MR2605604,
TITLE = {The {A}bel {P}rize, 2003--2007},
AUTHOR = {Holden, Helge and Piene, Ragni},
NOTE = {nart Axel Edvard,
With 1 DVD},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2010},
PAGES = {xii+326},
ISBN = {978-3-642-01372-0},
MRCLASS = {01A70 (00-02 00A15)},
MRNUMBER = {2605604},
DOI = {10.1007/978-3-642-01373-7},
URL = {http://dx.doi.org/10.1007/978-3-642-01373-7},
}
@article{HOLMOR,
AUTHOR = {Hollingsworth, John and Morgan, John W.},
TITLE = {Homotopy triangulations and topological manifolds},
YEAR = {1971},
}
@article {MR0242151,
AUTHOR = {Connell, E. H. and Hollingsworth, John},
TITLE = {Geometric groups and {W}hitehead torsion},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {140},
YEAR = {1969},
PAGES = {161--181},
ISSN = {0002-9947},
MRCLASS = {55.40},
MRNUMBER = {MR0242151 (39 \#3485)},
MRREVIEWER = {C. W. Patty},
}
@incollection {galhol,
AUTHOR = {Galewski, David E. and Hollingsworth, John},
TITLE = {Homotopy approximating codimension one Poincare complexes in manifolds by manifolds},
}
@article {MR0231379,
AUTHOR = {Holm, Per},
TITLE = {Microbundles and {$S$}-duality},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {118},
YEAR = {1967},
PAGES = {271--296},
ISSN = {0001-5962},
MRCLASS = {55.50},
MRNUMBER = {MR0231379 (37 \#6934)},
MRREVIEWER = {R. L. E. Schwarzenberger},
}
@article {MR2171799,
AUTHOR = {Hausmann, J. C. and Holm, Tara and Puppe, Volker},
TITLE = {Conjugation spaces},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {5},
YEAR = {2005},
PAGES = {923--964 (electronic)},
ISSN = {1472-2747},
MRCLASS = {55N91 (57R22)},
MRNUMBER = {2171799 (2006e:55008)},
MRREVIEWER = {R. E. Stong},
DOI = {10.2140/agt.2005.5.923},
URL = {http://dx.doi.org/10.2140/agt.2005.5.923},
}
@article {MR2469208,
AUTHOR = {Quach Hongler, Cam Van and Weber, Claude},
TITLE = {Amphicheirals according to {T}ait and {H}aseman},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {17},
YEAR = {2008},
NUMBER = {11},
PAGES = {1387--1400},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {2469208 (2009h:57009)},
MRREVIEWER = {Lorenzo Traldi},
DOI = {10.1142/S0218216508006646},
URL = {http://dx.doi.org/10.1142/S0218216508006646},
}
@article {MR0321119,
AUTHOR = {Broecker, Theodor and Hook, Edward C.},
TITLE = {Stable equivariant bordism},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {129},
YEAR = {1972},
PAGES = {269--277},
ISSN = {0025-5874},
MRCLASS = {57D85 (55B20)},
MRNUMBER = {MR0321119 (47 \#9652)},
MRREVIEWER = {J. W. Vick},
}
@article {MR0321120,
AUTHOR = {Hook, Edward C.},
TITLE = {Equivariant cobordism and duality},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {178},
YEAR = {1973},
PAGES = {241--258},
ISSN = {0002-9947},
MRCLASS = {57D85 (55B20)},
MRNUMBER = {MR0321120 (47 \#9653)},
MRREVIEWER = {J. W. Vick},
}
@article {MR0339243,
AUTHOR = {Hook, Edward C.},
TITLE = {Equivariant cobordism and homotopy type},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {40},
YEAR = {1973},
PAGES = {805--814},
ISSN = {0012-7094},
MRCLASS = {57E15 (57D85)},
MRNUMBER = {MR0339243 (49 \#4004)},
MRREVIEWER = {C. B. Thomas},
}
@article{0012.31902,
author="Hopf, Heinz",
title="{\"Uber die Abbildungen von Sph\"aren auf Sph\"aren niedrigerer
Dimension.}",
language="German",
journal="Fundam. Math. ",
volume="25",
pages="427-440",
year="1935",
keywords="{Topology}",
}
@article{1928,
jstor_articletype = {research-article},
title = {On Some Properties of One-Valued Transformations of Manifolds},
author = {Hopf, Heinz},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
jstor_issuetitle = {},
volume = {14},
number = {3},
jstor_formatteddate = {Mar. 15, 1928},
pages = {pp. 206-214},
url = {http://www.jstor.org/stable/85408},
ISSN = {00278424},
abstract = {},
language = {English},
year = {1928},
publisher = {National Academy of Sciences},
copyright = {Copyright � 1928 National Academy of Sciences},
}
@article{56.0501.03,
author="Hopf, Heinz",
title="{Zur Algebra der Abbildungen von Mannigfaltigkeiten.}",
language="German",
journal="J. f. M. ",
volume="163",
pages="71-88",
year="1930",
doi={10.1515/crll.1930.163.71},
abstract="{Es werden S\"atze \"uber die durch eindeutige und stetige Abbildungen
einer $n$-dimensionalen Mannigfaltigkeit $M$ auf eine $n$-dimensionale
Mannigfaltigkeit $\mu$ zwischen den Homologiegruppen und -ringen der beiden
Mannigfaltigkeiten hergestellten Beziehungen bewiesen. Der Hauptsatz lautet:
\par $M$ und $\mu$ seien zwei $n$-dimensionale orientierte geschlossene
Mannigfaltigkeiten, und $M$ sei einer eindeutigen und stetigen Abbildung $f$
auf $\mu$ unterworfen. Dann gibt, es eine eindeutige Abbildung $\varphi$ des
Ringes $\Re(\mu)$ von $\mu$ in den Ring $\Re(M)$ von $M$ mit folgenden
beiden Eigenschaften: \par (1) $\varphi$ ist ein Ringhomomorphismus (d. h.
ein additiver und multiplikativer Homomorphismus), \par (2) f\"ur jedes
Element $z$ von $\Re(M)$ und jedes Element $\zeta$ von $\Re(\mu)$ gilt $$
f(\varphi(\zeta)\cdot z)\approx \zeta\cdot f(z). $$ Die weiteren S\"atze
ergeben sich als Folgerungen aus dem Hauptsatz und zeigen, da{\ss} die
algebraischen Eigenschaften einer Abbildung wesentlich vom Verhalten des
Abbildungsgrades beeinflu{\ss}t werden. Als Beispiel werden Abbildungen
eines komplexen projektiven Raumes auf einen gleichdimensionalen komplexen
projektiven Raum behandelt. (III 5.)}",
reviewer="{Koch, Dora (Berlin)}",
}
@article {MR0004785,
AUTHOR = {Hopf, Heinz},
TITLE = {Ein topologischer {B}eitrag zur reellen {A}lgebra},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {13},
YEAR = {1941},
PAGES = {219--239},
ISSN = {0010-2571},
MRCLASS = {56.0X},
MRNUMBER = {0004785 (3,61c)},
MRREVIEWER = {A. Weil},
}
@article {MR0100844,
AUTHOR = {Hirzebruch, Friedrich and Hopf, Heinz},
TITLE = {Felder von {F}l\"achenelementen in 4-dimensionalen
{M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
VOLUME = {136},
YEAR = {1958},
PAGES = {156--172},
MRCLASS = {55.00},
MRNUMBER = {MR0100844 (20 \#7272)},
MRREVIEWER = {R. Bott},
}
@book{MR0345087,
AUTHOR = {Alexandroff, P. and Hopf, Heinz},
TITLE = {Topologie. I},
NOTE = {Berichtigter Reprint, Die Grundlehren der mathematischen Wissenschaften, Band 45},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {xiii+636+2},
MRCLASS = {55-XX (54-02 55CXX)},
MRNUMBER = {MR0345087 (49 \#9826)},
}
@article {MR1509466,
AUTHOR = {Hopf, Heinz},
TITLE = {Die {K}lassen der {A}bbildungen der {$n$}-dimensionalen
{P}olyeder auf die {$n$}-dimensionale {S}ph\"are},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {5},
YEAR = {1933},
NUMBER = {1},
PAGES = {39--54},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {Contributed Item},
MRNUMBER = {1509466},
DOI = {10.1007/BF01297505},
URL = {http://dx.doi.org/10.1007/BF01297505},
}
@article {MR1512282,
AUTHOR = {Hopf, Heinz},
TITLE = {\"{U}ber die {C}urvatura integra geschlossener
{H}yperfl\"achen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {95},
YEAR = {1926},
NUMBER = {1},
PAGES = {340--367},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512282},
}
@article {MR1512315,
AUTHOR = {Hopf, Heinz},
TITLE = {Abbildungsklassen {$n$}-dimensionaler {M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {96},
YEAR = {1927},
NUMBER = {1},
PAGES = {209--224},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512315},
}
@article {MR1512316,
AUTHOR = {Hopf, Heinz},
TITLE = {Vektorfelder in {$n$}-dimensionalen {M}annigfaltigkeiten},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {96},
YEAR = {1927},
NUMBER = {1},
PAGES = {225--249},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512316},
}
@article {MR1556906,
AUTHOR = {Hopf, Heinz},
TITLE = {\"{U}ber die {D}rehung der {T}angenten und {S}ehnen ebener
{K}urven},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {2},
YEAR = {1935},
PAGES = {50--62},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1556906},
}
@article{hopf,
AUTHOR = "Hopf, Heinz",
TITLE = "Ueber die Abbildungen der dreidimensionalen Sphaere auf die Kugelflaeche",
JOURNAL = "Mathematische Annalen",
VOLUME = "95",
YEAR = "1926",
}
@article {arfsol,
title = {On the non-existence of elements of Kervaire invariant one},
coden = {http://arxiv.org/abs/0908.3724},
journal = {0908.3724},
author = {Michael A. Hill and M.J. Hopkins and Douglas C. Ravenel},
month = aug,
year = {2009},
keywords = {{55P91,} {55Q45,} {55Q91,} {57R55,} {57R60,} {57R77,} {57R85,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{math.AT/0211216,
title = {{Quadratic functions in geometry, topology,and M-theory}},
author = {M.J. Hopkins and I. M. Singer},
eprint = {arXiv:math.AT/0211216},
}
@book {MR1996773,
AUTHOR = {Hormander, Lars},
TITLE = {The analysis of linear partial differential operators. {I}},
SERIES = {Classics in Mathematics},
NOTE = {Distribution theory and Fourier analysis,
Reprint of the second (1990) edition [Springer, Berlin;
MR1065993 (91m:35001a)]},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {x+440},
ISBN = {3-540-00662-1},
MRCLASS = {35-02},
MRNUMBER = {1996773},
}
@article{cochran_higher-order_2010,
title = {Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders},
url = {http://arxiv.org/abs/1003.4977},
abstract = {We define families of invariants for elements of the mapping class group of S, a compact orientable surface. Fix any characteristic subgroup H of {pi\_1(S)} and restrict to {J(H),} any subgroup of mapping classes that induce the identity modulo H. To any unitary representation, r of {pi\_1(S)/H} we associate a higher-order rho\_r-invariant and a signature 2-cocycle sigma\_r. These signature cocycles are shown to be generalizations of the Meyer cocycle. In particular each rho\_r is a quasimorphism and each sigma\_r is a bounded 2-cocycle on {J(H).} In one of the simplest non-trivial cases, by varying r, we exhibit infinite families of linearly independent quasimorphisms and signature cocycles. We show that the rho\_r restrict to homomorphisms on certain interesting subgroups. Many of these invariants extend naturally to the full mapping class group and some extend to the monoid of homology cylinders based on S.},
journal = {1003.4977},
author = {Tim D. Cochran and Shelly Harvey and Peter Horn},
month = mar,
year = {2010},
keywords = {{57M07} (primary) {57S05} {57M99,} {32G15} (secondary), Mathematics - Geometric Topology},
}
@article {MR2064753,
AUTHOR = {Hornbostel, Jens and Schlichting, Marco},
TITLE = {Localization in {H}ermitian {$K$}-theory of rings},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {70},
YEAR = {2004},
NUMBER = {1},
PAGES = {77--124},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {19G38 (19G12)},
MRNUMBER = {MR2064753 (2005b:19007)},
MRREVIEWER = {Stefan Gille},
}
@article {MR2122220,
AUTHOR = {Hornbostel, Jens},
TITLE = {{$A\sp 1$}-representability of {H}ermitian {$K$}-theory and
{W}itt groups},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {44},
YEAR = {2005},
NUMBER = {3},
PAGES = {661--687},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19Gxx},
MRNUMBER = {MR2122220},
}
@book {MR0175290,
AUTHOR = {Householder, Alston S.},
TITLE = {The theory of matrices in numerical analysis},
PUBLISHER = {Blaisdell Publishing Co. Ginn and Co.\, New
York-Toronto-London},
YEAR = {1964},
PAGES = {xi+257},
MRCLASS = {65.35},
MRNUMBER = {MR0175290 (30 \#5475)},
MRREVIEWER = {R. S. Varga},
}
@article {MR0177407,
AUTHOR = {Hsiang, Wu-Chung and Wall, C. T. C.},
TITLE = {Orientability of manifolds for generalised homology theories},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {118},
YEAR = {1965},
PAGES = {352--359},
ISSN = {0002-9947},
MRCLASS = {55.60 (55.30)},
MRNUMBER = {MR0177407 (31 \#1670)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0215311,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {{$H$}-cobordant manifolds are not necessarily homeomorphic},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {73},
YEAR = {1967},
PAGES = {741--744},
MRCLASS = {57.10},
MRNUMBER = {MR0215311 (35 \#6152)},
MRREVIEWER = {A. Liulevicius},
}
@article {MR0224675,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {A geometric interpretation of the {K}\"unneth formula for
algebraic {$K$}-theory},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {74},
YEAR = {1968},
PAGES = {548--553},
MRCLASS = {18.20 (55.00)},
MRNUMBER = {MR0224675 (37 \#274)},
MRREVIEWER = {S. Y. Husseini},
}
@article {MR0258044,
AUTHOR = {Hsiang, Wu-Chung and Wall, C. T. C.},
TITLE = {On homotopy tori. {II}},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {1},
YEAR = {1969},
PAGES = {341--342},
ISSN = {0024-6093},
MRCLASS = {57.01},
MRNUMBER = {MR0258044 (41 \#2691)},
MRREVIEWER = {L. S. Husch},
}
@article {MR0270378,
AUTHOR = {Hsiang, Wu-Chung and Shaneson, Julius L.},
TITLE = {Fake tori, the annulus conjecture, and the conjectures of
{K}irby},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {62},
YEAR = {1969},
PAGES = {687--691},
MRCLASS = {57.01},
MRNUMBER = {MR0270378 (42 \#5267)},
MRREVIEWER = {B. G. Casler},
}
@incollection {MR0281211,
AUTHOR = {Hsiang, Wu-Chung and Shaneson, Julius L.},
TITLE = {Fake tori},
BOOKTITLE = {Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens,
Ga., 1969)},
PAGES = {18--51},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.01},
MRNUMBER = {MR0281211 (43 \#6930)},
MRREVIEWER = {B. G. Casler},
}
@article {MR0385867,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {Manifolds with {$\pi \sb{i}=G\times \alpha T$}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {95},
YEAR = {1973},
PAGES = {813--848},
ISSN = {0002-9327},
MRCLASS = {57C10 (57D65)},
MRNUMBER = {MR0385867 (52 \#6726)},
MRREVIEWER = {Sylvain Cappell},
}
@article {MR704219,
AUTHOR = {Farrell, F. T. and Hsiang, Wu-Chung},
TITLE = {Topological characterization of flat and almost flat
{R}iemannian manifolds {$M\sp{n}$} {$(n\not=3,\,4)$}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {105},
YEAR = {1983},
NUMBER = {3},
PAGES = {641--672},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57R67 (53C20)},
MRNUMBER = {MR704219 (84k:57017)},
MRREVIEWER = {Frank Quinn},
}
@article {MR1988072,
AUTHOR = {Fausk, H. and Hu, P. and May, J. Peter},
TITLE = {Isomorphisms between left and right adjoints},
JOURNAL = {Theory Appl. Categ.},
FJOURNAL = {Theory and Applications of Categories},
VOLUME = {11},
YEAR = {2003},
PAGES = {No. 4, 107--131 (electronic)},
ISSN = {1201-561X},
MRCLASS = {18D10 (14A10 55U35)},
MRNUMBER = {MR1988072 (2004d:18006)},
MRREVIEWER = {Gabriele Vezzosi},
}
@article {MR0104223,
AUTHOR = {Hu, Sze-tsen},
TITLE = {Algebraic local invariants of topological spaces},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {13},
YEAR = {1958},
PAGES = {173--218 (1958)},
ISSN = {0010-437X},
MRCLASS = {55.00},
MRNUMBER = {MR0104223 (21 \#2980)},
MRREVIEWER = {T. R. Brahana},
}
@book {MR0106454,
AUTHOR = {Hu, Sze-tsen},
TITLE = {Homotopy theory},
SERIES = {Pure and Applied Mathematics, Vol. VIII},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1959},
PAGES = {xiii+347},
MRCLASS = {55.00},
MRNUMBER = {MR0106454 (21 \#5186)},
MRREVIEWER = {P. J. Hilton},
}
@book {MR0181977,
AUTHOR = {Hu, Sze-tsen},
TITLE = {Theory of retracts},
PUBLISHER = {Wayne State University Press},
ADDRESS = {Detroit},
YEAR = {1965},
PAGES = {234},
MRCLASS = {54.00},
MRNUMBER = {MR0181977 (31 \#6202)},
MRREVIEWER = {A. H. Copeland, Jr.},
}
@book {MR0248844,
AUTHOR = {Hudson, J. F. P.},
TITLE = {Piecewise linear topology},
SERIES = {University of Chicago Lecture Notes prepared with the
assistance of J. L. Shaneson and J. Lees},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1969},
PAGES = {ix+282},
MRCLASS = {57.01},
MRNUMBER = {0248844 (40 \#2094)},
MRREVIEWER = {R. B. Sher},
}
@article{huettemann_finite_2011,
title = {Finite domination and Novikov rings. Iterative approach},
url = {http://arxiv.org/abs/1108.2995},
abstract = {Suppose C is a bounded chain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x]. Then C is R-finitely dominated, ie, homotopy equivalent over R to a bounded chain complex of finitely generated projective R-modules, if and only if the two chain complexes C((x)) and C((1/x)) are acyclic, as has been proved by Ranicki. Here C((x)) is the tensor product over L of C with the Novikov ring R((x)) = R[[x]][1/x] (also known as the ring of formal Laurent series in x); similarly, C((1/x)) is the tensor product over L of C with the Novikov ring R((1/x)) = R[[1/x]][x]. In this paper, we prove a generalisation of this criterion which allows us to detect finite domination of bounded below chain complexes of projective modules over Laurent rings in several indeterminates.},
journal = {1108.2995},
author = {Huettemann, Thomas and Quinn, David},
month = aug,
year = {2011},
keywords = {{55U15}, {18G35}, Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@article {MR1686654,
AUTHOR = {Hughes, Bruce and Prassidis, Stratos},
TITLE = {Control and relaxation over the circle},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {145},
YEAR = {2000},
NUMBER = {691},
PAGES = {x+96},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {57Q55 (19J10)},
MRNUMBER = {MR1686654 (2002c:57044)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR2326949,
AUTHOR = {Hughes, Bruce and Taylor, Laurence R. and Weinberger, Shmuel
and Williams, Bruce},
TITLE = {Examples of exotic stratifications},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {1477--1505},
ISSN = {1465-3060},
MRCLASS = {57N80 (19J05)},
MRNUMBER = {2326949 (2008c:57038)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2140/gt.2007.11.1477},
URL = {http://dx.doi.org/10.2140/gt.2007.11.1477},
}
@article {hughkhan,
AUTHOR = {Hughes, Bruce and Khan, Qayum},
TITLE = {Dihedral manifold approximations over the circle},
YEAR = {2009},
}
@book {MR0323842,
AUTHOR = {Humphreys, James E.},
TITLE = {Introduction to {L}ie algebras and representation theory},
NOTE = {Graduate Texts in Mathematics, Vol. 9},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {xii+169},
MRCLASS = {17BXX},
MRNUMBER = {0323842 (48 \#2197)},
MRREVIEWER = {F. W. Lemire},
}
@book {MR0396773,
AUTHOR = {Humphreys, James E.},
TITLE = {Linear algebraic groups},
NOTE = {Graduate Texts in Mathematics, No. 21},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1975},
PAGES = {xiv+247},
MRCLASS = {20GXX (14LXX)},
MRNUMBER = {MR0396773 (53 \#633)},
MRREVIEWER = {T. Ono},
}
@article{friedman_additivity_2009,
title = {Additivity and non-additivity for perverse signatures},
url = {http://arxiv.org/abs/0911.3915},
abstract = {A well-known property of the signature of closed oriented 4n-dimensional manifolds is Novikov additivity, which states that if a manifold is split into two manifolds with boundary along an oriented smooth hypersurface, then the signature of the original manifold equals the sum of the signatures of the resulting manifolds with boundary. Wall showed that this property is not true of signatures on manifolds with boundary and that the difference from additivity could be described as a certain Maslov triple index. Perverse signatures are signatures defined for any stratified pseudomanifold, using the intersection homology groups of Goresky and {MacPherson.} In the case of Witt spaces, the middle perverse signature is the same as the Witt signature. This paper proves a generalization to perverse signatures of Wall's non-additivity theorem for signatures of manifolds with boundary. Under certain topological conditions on the dividing {hypersurface,Novikov} additivity for perverse signatures may be deduced as a corollary. In particular, Siegel's version of Novikov additivity for Witt signatures is a special case of this corollary.},
journal = {0911.3915},
author = {Greg Friedman and Eugenie Hunsicker},
month = nov,
year = {2009},
keywords = {{53D12,} {15A63} {(Secondary),} {55N33,} {57R20} {(Primary),} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article {MR0220243,
AUTHOR = {Hunt, John},
TITLE = {A new proof of {L}ebesgue's covering lemma},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {74},
YEAR = {1967},
PAGES = {990--991},
ISSN = {0002-9890},
MRCLASS = {54.35},
MRNUMBER = {MR0220243 (36 \#3309)},
}
@article {MR0004122,
AUTHOR = {Hurewicz, Witold and Steenrod, N. E.},
TITLE = {Homotopy relations in fibre spaces},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
VOLUME = {27},
YEAR = {1941},
PAGES = {60--64},
MRCLASS = {56.0X},
MRNUMBER = {MR0004122 (2,323b)},
MRREVIEWER = {H. Whitney},
}
@book {MR0006493,
AUTHOR = {Hurewicz, Witold and Wallman, Henry},
TITLE = {Dimension {T}heory},
SERIES = {Princeton Mathematical Series, v. 4},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1941},
PAGES = {vii+165},
MRCLASS = {56.0X},
MRNUMBER = {MR0006493 (3,312b)},
MRREVIEWER = {H. Whitney},
}
@article {MR0073987,
AUTHOR = {Hurewicz, Witold},
TITLE = {On the concept of fiber space},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {41},
YEAR = {1955},
PAGES = {956--961},
ISSN = {0027-8424},
MRCLASS = {55.0X},
MRNUMBER = {0073987 (17,519e)},
MRREVIEWER = {E. H. Spanier},
}
@book {MR0506372,
AUTHOR = {Milnor, John W. and Husemoller, Dale},
TITLE = {Symmetric bilinear forms},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {viii+147},
MRCLASS = {15A63 (10C05 57D65)},
MRNUMBER = {MR0506372 (58 \#22129)},
MRREVIEWER = {Louis H. Kauffman},
}
@book {MR1249482,
AUTHOR = {Husemoller, Dale},
TITLE = {Fibre bundles},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {20},
EDITION = {Third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xx+353},
ISBN = {0-387-94087-1},
MRCLASS = {55-01 (19Lxx 55-02 55Rxx 57R20 57R22)},
MRNUMBER = {MR1249482 (94k:55001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@article {MR0203731,
AUTHOR = {Husseini, S. Y.},
TITLE = {When is a complex fibered by a subcomplex?},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {124},
YEAR = {1966},
PAGES = {249--291},
ISSN = {0002-9947},
MRCLASS = {55.50},
MRNUMBER = {MR0203731 (34 \#3580)},
MRREVIEWER = {J. Stasheff},
}
@incollection {MR0278307,
AUTHOR = {Husseini, S. Y.},
TITLE = {Spherical fibrations},
BOOKTITLE = {The {S}teenrod {A}lgebra and its {A}pplications ({P}roc.
{C}onf. to {C}elebrate {N}. {E}. {S}teenrod's {S}ixtieth
{B}irthday, {B}attelle {M}emorial {I}nst., {C}olumbus, {O}hio,
1970)},
SERIES = {Lecture Notes in Mathematics, Vol. 168},
PAGES = {107--124},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1970},
MRCLASS = {55.50},
MRNUMBER = {MR0278307 (43 \#4037)},
MRREVIEWER = {J. W. Rutter},
}
@article {MR656489,
AUTHOR = {Husseini, S. Y.},
TITLE = {Generalized {L}efschetz numbers},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {272},
YEAR = {1982},
NUMBER = {1},
PAGES = {247--274},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55M20},
MRNUMBER = {MR656489 (83m:55004)},
MRREVIEWER = {Gencho Skordev},
}
@article {MR1679802,
AUTHOR = {Hutchings, Michael and Lee, Yi-Jen},
TITLE = {Circle-valued {M}orse theory, {R}eidemeister torsion, and
{S}eiberg-{W}itten invariants of {$3$}-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {4},
PAGES = {861--888},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R57 (57M27 57N10 57Q10 57R70)},
MRNUMBER = {MR1679802 (2000i:57055)},
MRREVIEWER = {Bai-Ling Wang},
}
@article {MR1716272,
AUTHOR = {Hutchings, Michael and Lee, Yi-Jen},
TITLE = {Circle-valued {M}orse theory and {R}eidemeister torsion},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {3},
YEAR = {1999},
PAGES = {369--396 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R70 (57M27 57Q10 57R57)},
MRNUMBER = {MR1716272 (2000h:57063)},
MRREVIEWER = {Rostislav Matveyev},
}
@article {MR1880912,
AUTHOR = {Hutchings, Michael},
TITLE = {Reidemeister torsion in generalized {M}orse theory},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {14},
YEAR = {2002},
NUMBER = {2},
PAGES = {209--244},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {57Q10 (57R58 57R70)},
MRNUMBER = {MR1880912 (2003f:57047)},
MRREVIEWER = {Yi-Jen Lee},
}
@article{hutchmor,
AUTHOR={Hutchings, Michael},
TITLE={Lectures on Morse homology},
}
@article {hutt1,
AUTHOR = {Hutt, Steven},
TITLE = {On {S}iebenmann periodicity},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {183},
YEAR = {1998},
NUMBER = {2},
PAGES = {291--303},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57N15},
MRNUMBER = {MR1625974 (99f:57024)},
MRREVIEWER = {Masayuki Yamasaki},
}
@article {MR1201620,
AUTHOR = {Hall, R. R. and Huxley, M. N.},
TITLE = {Dedekind sums and continued fractions},
JOURNAL = {Acta Arith.},
FJOURNAL = {Acta Arithmetica},
VOLUME = {63},
YEAR = {1993},
NUMBER = {1},
PAGES = {79--90},
ISSN = {0065-1036},
CODEN = {AARIA9},
MRCLASS = {11F20 (11K50)},
MRNUMBER = {MR1201620 (94a:11059)},
MRREVIEWER = {Gerald Myerson},
}
@book {MR912097,
AUTHOR = {Barthel, Gottfried and Hirzebruch, Friedrich and H{\"o}fer,
Thomas},
TITLE = {Geradenkonfigurationen und {A}lgebraische {F}l\"achen},
SERIES = {Aspects of Mathematics, D4},
PUBLISHER = {Friedr. Vieweg \& Sohn},
ADDRESS = {Braunschweig},
YEAR = {1987},
PAGES = {xii+308},
ISBN = {3-528-08907-5},
MRCLASS = {14J29 (14J25)},
MRNUMBER = {912097 (89a:14045)},
MRREVIEWER = {H{\'e}l{\`e}ne Esnault},
}
@book{1106.16300,
author="Angeleri H{\"u}gel, Lidia (ed.) and Happel, Dieter (ed.) and Krause,
Henning (ed.)",
title="{Handbook of tilting theory.}",
language="English",
publisher="{London Mathematical Society Lecture Note Series 332. Cambridge:
Cambridge University Press. viii, 472~p. \sterling~43.00; \$~80.00 }",
year="2007",
abstract="{The articles of this volume will be reviewed individually.}",
classmath="{*16-06 (Proceedings of conferences (assoc. rings and algebras))
00B15 (Collections of articles of miscellaneous specific interest)
}",
}
@article {MR2738361,
AUTHOR = {Angeleri H{\"u}gel, Lidia and Koenig, Steffen and Liu, Qunhua},
TITLE = {Recollements and tilting objects},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {215},
YEAR = {2011},
NUMBER = {4},
PAGES = {420--438},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16E35 (18E30 18E40)},
MRNUMBER = {2738361},
DOI = {10.1016/j.jpaa.2010.04.027},
URL = {http://dx.doi.org/10.1016/j.jpaa.2010.04.027},
}
@article {MR1829311,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {I}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {160},
YEAR = {2001},
NUMBER = {1},
PAGES = {21--52},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1829311 (2002a:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1868117,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {II}. {T}he canonical involution},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {1},
PAGES = {53--82},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1868117 (2002i:19003)},
MRREVIEWER = {Charles Weibel},
}
@book {MR1945530,
AUTHOR = {Igusa, Kiyoshi},
TITLE = {HFRT},
SERIES = {AMS/IP Studies in Advanced Mathematics},
VOLUME = {31},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2002},
PAGES = {xxii+370},
ISBN = {0-8218-3170-4},
MRCLASS = {19D10 (19F27 55R40 57Q10 57R45)},
MRNUMBER = {1945530 (2004f:19003)},
MRREVIEWER = {Nathalie Wahl},
}
@article {MR2578566,
AUTHOR = {Iida, Shuichi},
TITLE = {Adiabatic limits of {$\eta$}-invariants and the {M}eyer
functions},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {346},
YEAR = {2010},
NUMBER = {3},
PAGES = {669--717},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {58J28 (32Lxx)},
MRNUMBER = {MR2578566},
DOI = {10.1007/s00208-009-0412-y},
URL = {http://dx.doi.org/10.1007/s00208-009-0412-y},
}
@article {MR1116492,
AUTHOR = {Inassaridze, Hvedri},
TITLE = {On the {S}teenrod homology theory of compact spaces},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {Michigan Mathematical Journal},
VOLUME = {38},
YEAR = {1991},
NUMBER = {3},
PAGES = {323--338},
ISSN = {0026-2285},
MRCLASS = {55N07 (18G99 55N05 55N40)},
MRNUMBER = {1116492 (92f:55003)},
MRREVIEWER = {Stanislava Petkova},
DOI = {10.1307/mmj/1029004385},
URL = {http://dx.doi.org/10.1307/mmj/1029004385},
}
@article {MR0447620,
AUTHOR = {Iomdin, I. N.},
TITLE = {Local topological properties of complex algebraic sets},
JOURNAL = {Sibirsk. Mat. \v Z.},
FJOURNAL = {Akademija Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i\
Matemati\v ceski\u\i\ \v Zurnal},
VOLUME = {15},
YEAR = {1974},
PAGES = {784--805, 958},
ISSN = {0037-4474},
MRCLASS = {32C40 (14B05)},
MRNUMBER = {0447620 (56 \#5930)},
MRREVIEWER = {Le Dung Trang},
}
@article {irwin,
AUTHOR = {Irwin, M. C.},
TITLE = {Geometry of continued fractions},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {96},
YEAR = {1989},
NUMBER = {8},
PAGES = {696--703},
}
@book {MR1795406,
AUTHOR = {Degtyarev, A. and Itenberg, I. and Kharlamov, V.},
TITLE = {Real {E}nriques surfaces},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1746},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {xvi+259},
ISBN = {3-540-41088-0},
MRCLASS = {14P05 (14J28)},
MRNUMBER = {1795406 (2001k:14100)},
MRREVIEWER = {Sergey M. Finashin},
DOI = {10.1007/BFb0103960},
URL = {http://dx.doi.org/10.1007/BFb0103960},
}
@book {MR2444949,
AUTHOR = {Viro, O. Ya. and Ivanov, O. A. and Netsvetaev, N. Yu. and
Kharlamov, V. M.},
TITLE = {Elementary topology},
NOTE = {Problem textbook},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2008},
PAGES = {xx+400},
ISBN = {978-0-8218-4506-6},
MRCLASS = {55-01 (54-01 57-01)},
MRNUMBER = {MR2444949},
}
@book {MR842190,
AUTHOR = {Iversen, Birger},
TITLE = {Cohomology of sheaves},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1986},
PAGES = {xii+464},
ISBN = {3-540-16389-1},
MRCLASS = {14F05 (14-01 18-01 54-01)},
MRNUMBER = {MR842190 (87m:14013)},
MRREVIEWER = {G. Horrocks},
}
@article {MR860816,
AUTHOR = {Iversen, Birger},
TITLE = {Octahedra and braids},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {114},
YEAR = {1986},
NUMBER = {2},
PAGES = {197--213},
ISSN = {0037-9484},
CODEN = {BSMFAA},
MRCLASS = {18E30 (18G35 55U15 55U35)},
MRNUMBER = {MR860816 (88f:18008)},
MRREVIEWER = {Marek Golasi{\'n}ski},
}
@article {dwgriy,
AUTHOR = {Dwyer, W. G. and Greenlees, J.P.C. and Iyenagar, S.},
TITLE = {Duality in algebra and topology},
JOURNAL = {Advances in Mathematics},
}
@article {MR2496516,
AUTHOR = {Lafont J.-F. and Ortiz, I. J.},
TITLE = {Splitting formulas for certain {W}aldhausen {N}il-groups},
JOURNAL = {J. Lond. Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {79},
YEAR = {2009},
NUMBER = {2},
PAGES = {309--322},
ISSN = {0024-6107},
MRCLASS = {19D35 (18F25 20E06)},
MRNUMBER = {2496516 (2009m:19002)},
MRREVIEWER = {Thomas H{\"u}ttemann},
DOI = {10.1112/jlms/jdn075},
URL = {http://dx.doi.org/10.1112/jlms/jdn075},
}
@inproceedings {MR1770213,
AUTHOR = {Jablan, Slavik V.},
TITLE = {Are Borromean links so rare?},
BOOKTITLE = {Proceedings of the 2nd {I}nternational {K}atachi U
{S}ymmetry {S}ymposium, {P}art 1 ({T}sukuba, 1999)},
JOURNAL = {Forma},
FJOURNAL = {Forma},
VOLUME = {14},
YEAR = {1999},
NUMBER = {4},
PAGES = {269--277},
ISSN = {0911-6036},
MRCLASS = {57M25},
MRNUMBER = {1770213},
}
@article {MR2332669,
AUTHOR = {Jabuka, Stanislav},
TITLE = {Heegaard {F}loer homology and knot concordance: a survey of
recent advances},
JOURNAL = {Glas. Mat. Ser. III},
FJOURNAL = {Glasnik Matemati\v cki. Serija III},
VOLUME = {42(62)},
YEAR = {2007},
NUMBER = {1},
PAGES = {237--256},
ISSN = {0017-095X},
CODEN = {GLMAB2},
MRCLASS = {57M27 (57R58)},
MRNUMBER = {MR2332669 (2008c:57024)},
DOI = {10.3336/gm.42.1.16},
URL = {http://dx.doi.org/10.3336/gm.42.1.16},
}
@article{gallaspy_goeritz_2009,
title = {The Goeritz matrix and signature of a two bridge knot},
url = {http://arxiv.org/abs/0910.2872},
abstract = {According to a formula by Gordon and Litherland, the signature of a knot K can be computed as the signature of a Goeritz matrix of K minus a suitable correction term, read off from the diagram of K. In this article, we consider the family of two bridge knots K(p/q) and compute the signature of their Goeritz matrices in terms of the coefficients of the continued fraction expansion of p/q. In many cases we also compute the value of the correction term. We show that for every two bridge knot K(p/q), there are "even continued fraction expansions" of p/q, for which the correction term vanishes, thereby fully computing the signature of K(p/q). We provide an algorithm for finding even continued fraction expansions. This article is the result of an {REU} study conducted by the first author under the direction of the second.},
journal = {0910.2872},
author = {Michael Gallaspy and Stanislav Jabuka},
month = oct,
year = {2009},
keywords = {{57M25,} {57N70,} Mathematics - Geometric Topology},
}
@article{friedl_twisted_2010,
title = {Twisted Alexander polynomials of hyperbolic knots},
author = {Nicholas Jackson and Nathan Dunfield and Stefan Friedl},
year = {2010},
keywords = {preprint},
}
@article{jacobitri,
author="Jacobi, C. G. J.",
title="{Ein leichtes Verfahren, die in der Theorie der Sakularstoerungen vorkommenden Gleichungen numerisch aufzuloesen.}",
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {30},
YEAR = {1846},
PAGES = {51-95},
}
@book {manuarjaggard,
AUTHOR = {Manuar, Omar and Jaggard, Dwight},
TITLE = {Knots, symmetry and scattering},
JOURNAL = {IEEE Transactions on Antennas and Propagation},
YEAR = {2001},
PAGES = {1299-1304},
}
@article {MR1981359,
AUTHOR = {Jahren, Bj{\o}rn and Kwasik, Slawomir},
TITLE = {Three-dimensional surgery theory, {UN}il-groups and the
{B}orel conjecture},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {42},
YEAR = {2003},
NUMBER = {6},
PAGES = {1353--1369},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R65 (57N10 57R67)},
MRNUMBER = {MR1981359 (2004j:57043)},
MRREVIEWER = {Ian Hambleton},
}
@article {MRJK,
AUTHOR = {Jahren, Bj{\o}rn and Kwasik, Slawomir},
TITLE = {Manifolds homotopy equivalent to RP^4#RP^4},
}
@article {plmf,
AUTHOR = {Jahren, Bj{\o}rn and Rognes, John and Waldhausen, Friedhelm},
TITLE = {Spaces of PL manifolds and categories of simple maps},
YEAR = {2009},
}
@article {MR0073181,
AUTHOR = {James, I. M.},
TITLE = {Reduced product spaces},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {62},
YEAR = {1955},
PAGES = {170--197},
MRCLASS = {55.0X},
MRNUMBER = {MR0073181 (17,396b)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0083726,
AUTHOR = {James, I. M.},
TITLE = {Multiplication on spheres. {I}},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {8},
YEAR = {1957},
PAGES = {192--196},
MRCLASS = {55.0X},
MRNUMBER = {MR0083726 (18,752a)},
MRREVIEWER = {R. Bott},
}
@article {MR0090812,
AUTHOR = {James, I. M.},
TITLE = {Multiplication on spheres. {II}},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {84},
YEAR = {1957},
PAGES = {545--558},
MRCLASS = {55.0X},
MRNUMBER = {MR0090812 (19,875e)},
MRREVIEWER = {R. Bott},
}
@article {MR0102810,
AUTHOR = {James, I. M.},
TITLE = {Spaces associated with {S}tiefel manifolds},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {9},
YEAR = {1959},
PAGES = {115--140},
ISSN = {0024-6115},
MRCLASS = {55.00},
MRNUMBER = {MR0102810 (21 \#1596)},
MRREVIEWER = {W. S. Massey},
}
@book {MR0431239,
AUTHOR = {James, I. M.},
TITLE = {The topology of {S}tiefel manifolds},
NOTE = {London Mathematical Society Lecture Note Series, No. 24},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1976},
PAGES = {viii+168},
MRCLASS = {57F20 (55F05)},
MRNUMBER = {0431239 (55 \#4240)},
MRREVIEWER = {David Handel},
}
@book {MR1361885,
TITLE = {Handbook of algebraic topology},
AUTHOR = {James, I. M.},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1995},
PAGES = {x+1324},
ISBN = {0-444-81779-4},
MRCLASS = {55-02 (55-06)},
MRNUMBER = {MR1361885 (96g:55002)},
}
@article {MR1426683,
AUTHOR = {Fantham, Peter and James, I. M. and Mather, Michael},
TITLE = {On the reduced product construction},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {39},
YEAR = {1996},
NUMBER = {4},
PAGES = {385--389},
ISSN = {0008-4395},
CODEN = {CMBUA3},
MRCLASS = {55P15 (55P35 55P91)},
MRNUMBER = {MR1426683 (97m:55010)},
}
@book {MR1646248,
AUTHOR = {Crabb, M. C. and James, I. M.},
TITLE = {Fibrewise homotopy theory},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag London Ltd.},
ADDRESS = {London},
YEAR = {1998},
PAGES = {viii+341},
ISBN = {1-85233-014-7},
MRCLASS = {55-02 (55M20 55P42 55R99 55T10 55T20)},
MRNUMBER = {1646248 (99k:55001)},
MRREVIEWER = {J. P. C. Greenlees},
}
@book {MR1674906,
TITLE = {History of topology},
AUTHOR = {James, I. M.},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
PAGES = {x+1056},
ISBN = {0-444-82375-1},
MRCLASS = {00B15 (54-06 55-06 57-06)},
MRNUMBER = {MR1674906 (2000g:00032)},
}
@book {MR1964301,
AUTHOR = {James, I. M.},
TITLE = {Remarkable mathematicians},
SERIES = {MAA Spectrum},
NOTE = {From Euler to von Neumann},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {2002},
PAGES = {xiv+433},
ISBN = {0-521-81777-3; 0-521-52094-0},
MRCLASS = {01A05 (01A70)},
MRNUMBER = {MR1964301 (2004g:01002)},
MRREVIEWER = {Jaroslav Zem{\'a}nek},
}
@article {MR0202157,
AUTHOR = {Janich, Klaus},
TITLE = {Differenzierbare {M}annigfaltigkeiten mit {R}and als
{O}rbitr\"aume differenzierbarer {$G$}-{M}annigfaltigkeiten
ohne {R}and},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {5},
YEAR = {1966},
PAGES = {301--320},
ISSN = {0040-9383},
MRCLASS = {57.47},
MRNUMBER = {MR0202157 (34 \#2030)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0231399,
AUTHOR = {Janich, Klaus},
TITLE = {Charakterisierung der {S}ignatur von {M}annigfaltigkeiten
durch eine {A}dditivit\"atseigenschaft},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {6},
YEAR = {1968},
PAGES = {35--40},
ISSN = {0020-9910},
MRCLASS = {57.31},
MRNUMBER = {MR0231399 (37 \#6954)},
MRREVIEWER = {Ph. Tondeur},
}
@article {MR0253360,
AUTHOR = {Janich, Klaus},
TITLE = {On invariants with the {N}ovikov additive property},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {184},
YEAR = {1969},
PAGES = {65--77},
ISSN = {0025-5831},
MRCLASS = {57.31},
MRNUMBER = {MR0253360 (40 \#6575)},
MRREVIEWER = {M. Mahowald},
}
@article {MR1131435,
AUTHOR = {Davis, Michael W. and Januszkiewicz, Tadeusz},
TITLE = {Hyperbolization of polyhedra},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {34},
YEAR = {1991},
NUMBER = {2},
PAGES = {347--388},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57Q05 (53C20)},
MRNUMBER = {1131435 (92h:57036)},
MRREVIEWER = {Werner Ballmann},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214447212},
}
@article {MR2584177,
AUTHOR = {Javaloyes, M. A. and Piccione, Paolo},
TITLE = {On the isotropic reduction method and the {M}aslov index},
JOURNAL = {Mat. Contemp.},
FJOURNAL = {Matem\'atica Contempor\^anea},
VOLUME = {35},
YEAR = {2008},
PAGES = {73--93},
ISSN = {0103-9059},
MRCLASS = {53D12},
MRNUMBER = {MR2584177},
}
@article {MR1175494,
AUTHOR = {Jeffrey, Lisa C.},
TITLE = {Chern-{S}imons-{W}itten invariants of lens spaces and torus
bundles, and the semiclassical approximation},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {147},
YEAR = {1992},
NUMBER = {3},
PAGES = {563--604},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57R57 (11L03 57N10 58D29 58G10 58G18 58G26)},
MRNUMBER = {MR1175494 (93f:57042)},
MRREVIEWER = {Ronald J. Stern},
}
@article {MR620010,
AUTHOR = {Jiang, Bo Ju},
TITLE = {A simple proof that the concordance group of algebraically
slice knots is infinitely generated},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {83},
YEAR = {1981},
NUMBER = {1},
PAGES = {189--192},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M25},
MRNUMBER = {MR620010 (82h:57008)},
MRREVIEWER = {Bradd Evans Clark},
}
@article {MR2434347,
AUTHOR = {Joachim, M. and Wraith, D. J.},
TITLE = {Exotic spheres and curvature},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {45},
YEAR = {2008},
NUMBER = {4},
PAGES = {595--616},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57Rxx (53Cxx)},
MRNUMBER = {MR2434347},
}
@article {johansson,
AUTHOR = {Johannsson, Ingebrigt},
TITLE = {Ueber die Invarianz der topologischen Wechselsumme
a_0-a_1+a_2-a_3... gegenueber Dimensionsaenderungen},
JOURNAL = {Av. Norske Vid. Akad.},
NUMBER = {1},
YEAR = {1932},
PAGES = {75--91},
}
@article {MR535148,
AUTHOR = {Johnson, Dale M.},
TITLE = {The problem of the invariance of dimension in the growth of
modern topology. {I}},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {20},
YEAR = {1979},
NUMBER = {2},
PAGES = {97--188},
ISSN = {0003-9519},
CODEN = {AHESAN},
MRCLASS = {01A55 (54-03 54F45)},
MRNUMBER = {MR535148 (80k:01034)},
MRREVIEWER = {Albert C. Lewis},
}
@article {MR641730,
AUTHOR = {Johnson, Dale M.},
TITLE = {The problem of the invariance of dimension in the growth of
modern topology. {II}},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {25},
YEAR = {1981},
NUMBER = {2-3},
PAGES = {85--267},
ISSN = {0003-9519},
CODEN = {AHESAN},
MRCLASS = {01A60 (01A75 54F45 55M10)},
MRNUMBER = {MR641730 (83e:01050)},
MRREVIEWER = {Albert C. Lewis},
local="../../papers/johnson2.pdf",
}
@article {MR1037145,
AUTHOR = {Johnson, Dennis and Millson, John J.},
TITLE = {Modular {L}agrangians and the theta multiplier},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {100},
YEAR = {1990},
NUMBER = {1},
PAGES = {143--165},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11F27 (11F37)},
MRNUMBER = {MR1037145 (91j:11028)},
MRREVIEWER = {Siegfried B{\"o}cherer},
}
@article{math.AT/9909130,
author = {Heather Johnston and Andrew Ranicki},
title = {Homology manifold bordism},
howpublished = {Trans. A.M.S. 352, 5093-5137 (2000)},
}
@article {MR2488864,
AUTHOR = {Jollenbeck, Michael and Welker, Volkmar},
TITLE = {Minimal resolutions via algebraic discrete {M}orse theory},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {197},
YEAR = {2009},
NUMBER = {923},
PAGES = {vi+74},
ISSN = {0065-9266},
CODEN = {MAMCAU},
ISBN = {978-0-8218-4257-7},
MRCLASS = {13D02 (13D03 16E05 58E05)},
MRNUMBER = {2488864 (2009m:13017)},
MRREVIEWER = {Petter Andreas Bergh},
}
@article {duboismichel2,
AUTHOR = {DuBois, Philippe and Michel, Francoise},
TITLE = {Filtration par le poids et monodromie enti\`ere},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {120},
YEAR = {1992},
NUMBER = {2},
PAGES = {129--167},
ISSN = {0037-9484},
CODEN = {BSMFAA},
MRCLASS = {32S35 (32S55)},
MRNUMBER = {1167054 (93h:32049)},
MRREVIEWER = {Aleksandr G. Aleksandrov},
URL = {http://www.numdam.org/item?id=BSMF_1992__120_2_129_0},
}
@article {MR594531,
AUTHOR = {Kawauchi, Akio and Kojima, Sadayoshi},
TITLE = {Algebraic classification of linking pairings on
{$3$}-manifolds},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {253},
YEAR = {1980},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57M99 (20F38)},
MRNUMBER = {594531 (82b:57007)},
MRREVIEWER = {L. Guillou},
DOI = {10.1007/BF01457818},
URL = {http://dx.doi.org/10.1007/BF01457818},
}
@article {MR0012640,
AUTHOR = {Jones, Burton W.},
TITLE = {A canonical quadratic form for the ring of 2-adic integers},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {11},
YEAR = {1944},
PAGES = {715--727},
ISSN = {0012-7094},
MRCLASS = {02.0X},
MRNUMBER = {MR0012640 (7,50e)},
MRREVIEWER = {A. E. Ross},
}
@article {MR0031522,
AUTHOR = {Jones, Burton W. and Durfee, William H.},
TITLE = {A theorem on quadratic forms over the ring {$2$}-adic
integers},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {55},
YEAR = {1949},
PAGES = {758--762},
ISSN = {0002-9904},
MRCLASS = {10.0X},
MRNUMBER = {MR0031522 (11,164b)},
MRREVIEWER = {R. Hull},
}
@book {MR0037321,
AUTHOR = {Jones, Burton W.},
TITLE = {The {A}rithmetic {T}heory of {Q}uadratic {F}orms},
SERIES = {Carcus Monograph Series, no. 10},
PUBLISHER = {The Mathematical Association of America, Buffalo, N. Y.},
YEAR = {1950},
PAGES = {x+212},
MRCLASS = {10.0X},
MRNUMBER = {0037321 (12,244a)},
MRREVIEWER = {H. D. Kloosterman},
}
@article {MR0385900,
AUTHOR = {Jones, John and Rees, Elmer},
TITLE = {A note on the {K}ervaire invariant},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {7},
YEAR = {1975},
NUMBER = {3},
PAGES = {279--282},
ISSN = {0024-6093},
MRCLASS = {57D90},
MRNUMBER = {MR0385900 (52 \#6759)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR508888,
AUTHOR = {Jones, John},
TITLE = {The {K}ervaire invariant of extended power manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {249--266},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {55Q40},
MRNUMBER = {MR508888 (80g:55026)},
MRREVIEWER = {Stanley Kochman},
}
@article {MR516218,
AUTHOR = {Jones, John},
TITLE = {Quadratic forms and {S}teenrod squares},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {17},
YEAR = {1978},
NUMBER = {4},
PAGES = {397--405},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R67 (57R42)},
MRNUMBER = {MR516218 (81d:57025)},
MRREVIEWER = {P. J. Kahn},
}
@incollection {MR520501,
AUTHOR = {Jones, John and Rees, Elmer},
TITLE = {Kervaire's invariant for framed manifolds},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {141--147},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R65},
MRNUMBER = {MR520501 (80g:57048)},
MRREVIEWER = {P. J. Kahn},
}
@article {MR0315720,
AUTHOR = {Jones, Lowell},
TITLE = {Patch spaces: a geometric representation for {P}oincar\'e
spaces},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {97},
YEAR = {1973},
PAGES = {306--343},
ISSN = {0003-486X},
MRCLASS = {57B10},
MRNUMBER = {MR0315720 (47 \#4269)},
MRREVIEWER = {Yuen-Fat Wong},
}
@article {MR0391108,
AUTHOR = {Jones, Lowell},
TITLE = {Corrections for Patch Spaces},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {102},
YEAR = {1975},
NUMBER = {1},
PAGES = {183--185},
ISSN = {0003-486X},
MRCLASS = {57B10},
MRNUMBER = {MR0391108 (52 \#11930)},
MRREVIEWER = {Yuen-Fat Wong},
}
@book {MR1056079,
AUTHOR = {Farrell, F. T. and Jones, Lowell},
TITLE = {Classical aspherical manifolds},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {75},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1990},
PAGES = {viii+54},
ISBN = {0-8218-0726-9},
MRCLASS = {57-02 (19D10 19G24 22E40 57N15 57R55 58F17)},
MRNUMBER = {MR1056079 (91k:57001)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR2030590,
AUTHOR = {Bartels, Arthur and Farrell, F. T. and Jones, Lowell and Reich,
Holger},
TITLE = {On the isomorphism conjecture in algebraic {$K$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {1},
PAGES = {157--213},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D50 (19A31 19B28)},
MRNUMBER = {MR2030590 (2004m:19004)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@book {MR2247485,
AUTHOR = {Jost, J{\"u}rgen},
TITLE = {Compact {R}iemann surfaces},
SERIES = {Universitext},
EDITION = {Third},
NOTE = {An introduction to contemporary mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {xviii+277},
ISBN = {978-3-540-33065-3; 3-540-33065-8},
MRCLASS = {32G15 (58E20)},
MRNUMBER = {MR2247485 (2007b:32024)},
}
@article {MR789309,
AUTHOR = {Joyal, Andr{\'e}},
TITLE = {{$\delta$}-anneaux et vecteurs de {W}itt},
JOURNAL = {C. R. Math. Rep. Acad. Sci. Canada},
FJOURNAL = {La Soci\'et\'e Royale du Canada. L'Academie des Sciences.
Comptes Rendus Math\'ematiques. (Mathematical Reports)},
VOLUME = {7},
YEAR = {1985},
NUMBER = {3},
PAGES = {177--182},
ISSN = {0706-1994},
MRCLASS = {13K05 (14F30 14L05 18C99 18F25 19D99)},
MRNUMBER = {MR789309 (86j:13023)},
MRREVIEWER = {R. T. Hoobler},
}
@article {MR802319,
AUTHOR = {Joyal, Andr{\'e}},
TITLE = {{$\delta$}-anneaux et {$\lambda$}-anneaux},
JOURNAL = {C. R. Math. Rep. Acad. Sci. Canada},
FJOURNAL = {La Soci\'et\'e Royale du Canada. L'Academie des Sciences.
Comptes Rendus Math\'ematiques. (Mathematical Reports)},
VOLUME = {7},
YEAR = {1985},
NUMBER = {4},
PAGES = {227--232},
ISSN = {0706-1994},
MRCLASS = {13K05 (14L05 18F25 19D99 20C20)},
MRNUMBER = {MR802319 (86j:13024)},
}
@article{39.0493.01,
author="Jung, H. W. E.",
title="{Darstellung der Funktionen eines algebraischen K\"orpers zweier
unabh\"angigen Ver\"anderlichen $x, y$ in der Umgebung $=a,\ y= b.$.}",
language="German",
year="1908",
}
@book{hirzebruch_manifolds_1992,
title = {Manifolds and modular forms},
isbn = {3-528-06414-5},
url = {http://portal.acm.org/citation.cfm?id=151091},
publisher = {Friedr. Vieweg {\textbackslash}\& Sohn Verlagsgesellschaft {mbH}},
author = {Friedrich Hirzebruch and Thomas Berger and Rainer Jung},
year = {1992},
annote = {Translator - Peter S. Landweber},
}
@incollection {MR0259948,
AUTHOR = {Hirzebruch, F. and J{\"a}nich, K.},
TITLE = {Involutions and singularities},
BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst.
{F}und. {R}es., {B}ombay, 1968)},
PAGES = {219--240},
PUBLISHER = {Oxford Univ. Press},
ADDRESS = {London},
YEAR = {1969},
MRCLASS = {57.47},
MRNUMBER = {MR0259948 (41 \#4577)},
MRREVIEWER = {E. Brieskorn},
}
@article{0018.31902,
author="Kac, Mark",
title="{Sur les fonctions $2^nt-(2^nt)-1/2$.}",
language="French",
journal="J. Lond. Math. Soc. ",
volume="13",
pages="131-134",
year="1938",
doi={10.1112/jlms/s1-13.2.131},
keywords="{Probability theory, mathematical statistics}",
}
@book {MR0110114,
AUTHOR = {Kac, Mark},
TITLE = {Statistical independence in probability, analysis and number
theory. },
SERIES = {The Carus Mathematical Monographs, No. 12},
PUBLISHER = {Published by the Mathematical Association of America.
Distributed by John Wiley and Sons, Inc., New York},
YEAR = {1959},
PAGES = {xiv+93},
MRCLASS = {60.00},
MRNUMBER = {MR0110114 (22 \#996)},
MRREVIEWER = {M. Lo{\`e}ve},
}
@article{../../papers/kaczstein,
author="Kaczmarz, S. and Steinhaus, H.",
title="{Le systeme orthogonal de M. Rademacher.}",
language="French",
journal="Studia ",
volume="2",
pages="231-247",
year="1930",
abstract="{Das {\it Rademacher\/}sche Orthogonalsystem ist in
$\langle0,1\rangle$ durch $$ \varphi_n(x)=\operatorname{sign\,}(\sin2^n\pi
x)\qquad(n\geqq0) $$ definiert. Es ist normiert, aber nicht vollst\"andig.
Es wird zun\"achst von den Verf. zu einem vollst\"andigen Orthogonalsystem
$\{\psi_k(x)\}$ erweitert, und zwar durch lineare Kombination der {\it
Haar\/}schen Orthogonalfunktionen (1923; F. d. M. 49, 706 (JFM
49.0706.*)-707). \par $f$ soil in $\langle0,1\rangle$ zur {\it
Lebesgue\/}schen Klasse $L$ geh\"oren. Es wird ``zum Felde der $\varphi$
geh\"orig" genannt, wenn seine zu den $\psi_k\not\equiv\varphi_n$
geh\"origen {\it Fourier\/}konstanten (im System der $\psi$ verschwinden.
Unter wesentlicher Anwendung eines \"Aquivalenzsatzes von {\it Banach\/
}
@book {MR2028588,
AUTHOR = {Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek,
Marian},
TITLE = {Computational homology},
SERIES = {Applied Mathematical Sciences},
VOLUME = {157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2004},
PAGES = {xviii+480},
ISBN = {0-387-40853-3},
MRCLASS = {55-02 (37B30 55M20 55M25 68U10 94A08)},
MRNUMBER = {MR2028588 (2005g:55001)},
MRREVIEWER = {Andrzej Kozlowski},
}
@article {MR0253337,
AUTHOR = {Kahn, Daniel S.},
TITLE = {{${\rm Cup}-i$} products and the {A}dams spectral sequence},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {1--9},
ISSN = {0040-9383},
MRCLASS = {55.52},
MRNUMBER = {MR0253337 (40 \#6552)},
MRREVIEWER = {A. K. Bousfield},
}
@article {MR0309109,
AUTHOR = {Kahn, Daniel S. and Priddy, Stewart B.},
TITLE = {Applications of the transfer to stable homotopy theory},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {78},
YEAR = {1972},
PAGES = {981--987},
MRCLASS = {55E45},
MRNUMBER = {MR0309109 (46 \#8220)},
MRREVIEWER = {R. A. Piccinini},
}
@article{kahn2008,
title = {Pseudohomology and homology},
url = {http://front.math.ucdavis.edu/0111.5223},
author = {Kahn, Peter},
year = {2008},
}
@article {MR1820902,
AUTHOR = {Kallel, Sadok},
TITLE = {Spaces of particles on manifolds and generalized {P}oincar\'e
dualities},
JOURNAL = {Q. J. Math.},
FJOURNAL = {The Quarterly Journal of Mathematics},
VOLUME = {52},
YEAR = {2001},
NUMBER = {1},
PAGES = {45--70},
ISSN = {0033-5606},
MRCLASS = {55R80 (55P25)},
MRNUMBER = {MR1820902 (2002g:55026)},
MRREVIEWER = {V. P. Snaith},
}
@incollection {MR1850745,
AUTHOR = {Kallel, Sadok},
TITLE = {An analog of the {M}ay-{M}ilgram model for configurations with
multiplicities},
BOOKTITLE = {Topology, geometry, and algebra: interactions and new
directions (Stanford, CA, 1999)},
SERIES = {Contemp. Math.},
VOLUME = {279},
PAGES = {135--149},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2001},
MRCLASS = {55P47 (55P35 55R80)},
MRNUMBER = {MR1850745 (2002j:55008)},
MRREVIEWER = {R. M. Vogt},
}
@inproceedings {MR1921654,
AUTHOR = {Kalman, Tamas and Szucs, Andras},
TITLE = {On double points of immersed surfaces},
BOOKTITLE = {Proceedings of the {J}anos {B}olyai {M}athematical {S}ociety
8th {I}nternational {T}opology {C}onference ({G}yula, 1998)},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1},
PAGES = {131--134},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R42 (55N22 57R20)},
MRNUMBER = {1921654 (2003f:57056)},
MRREVIEWER = {J{\'u}lius Korba{\v{s}}},
DOI = {10.1016/S0166-8641(01)00176-6},
URL = {http://dx.doi.org/10.1016/S0166-8641(01)00176-6},
}
@book {MR1900979,
AUTHOR = {Kamada, Seiichi},
TITLE = {Braid and knot theory in dimension four},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {95},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2002},
PAGES = {xiv+313},
ISBN = {0-8218-2969-6},
MRCLASS = {57Q45 (20F36 57M25 57Q35)},
MRNUMBER = {1900979 (2003d:57050)},
MRREVIEWER = {Masahico Saito},
}
@book {MR2060067,
AUTHOR = {Carter, J. Scott and Kamada, Seiichi and Saito, Masahico},
TITLE = {Surfaces in 4-space},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {142},
NOTE = {Low-Dimensional Topology, III},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {xiv+213},
ISBN = {3-540-21040-7},
MRCLASS = {57Q45 (57M25 57R40)},
MRNUMBER = {MR2060067 (2005e:57065)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR0198473,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {On flat bundles},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {72},
YEAR = {1966},
PAGES = {846--849},
ISSN = {0002-9904},
MRCLASS = {55.50},
MRNUMBER = {0198473 (33 \#6631)},
MRREVIEWER = {R. Brown},
}
@article {MR0220309,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {Flat bundles and characteristic classes of
group-representations},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {89},
YEAR = {1967},
PAGES = {857--886},
ISSN = {0002-9327},
MRCLASS = {57.30},
MRNUMBER = {0220309 (36 \#3374)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR0334237,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {Characteristic invariants of foliated bundles},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {11},
YEAR = {1974},
PAGES = {51--89},
ISSN = {0025-2611},
MRCLASS = {57D30},
MRNUMBER = {0334237 (48 \#12556)},
MRREVIEWER = {H. Suzuki},
}
@article {thomas,
AUTHOR = {Thomas, Teruji and Kamgarpur, M.},
TITLE = {Compatible intertwiners for representations of finite nilpotent groups},
url = {http://arxiv.org/abs/0909.5670},
}
@article{0006.41503,
author="van Kampen, Egbert R.",
title="{On
the connection between the fundamental groups of some related
spaces.}",
language="English", journal="Am. J. Math.", volume="55",
pages="261-267", year="1933", keywords="{algebraic geometry}",
}
@book {MR0407833,
AUTHOR = {tom Dieck, Tammo and Kamps, K. H. and Puppe, Dieter},
TITLE = {Homotopietheorie},
SERIES = {Lecture Notes in Mathematics, Vol. 157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {vi+265},
MRCLASS = {55DXX},
MRNUMBER = {MR0407833 (53 \#11603)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR794414,
AUTHOR = {Hardie, K. A. and Kamps, K. H.},
TITLE = {Exact sequence interlocking and free homotopy theory},
JOURNAL = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
FJOURNAL = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle
Cat\'egoriques},
VOLUME = {26},
YEAR = {1985},
NUMBER = {1},
PAGES = {3--31},
ISSN = {0008-0004},
MRCLASS = {55Q99 (20F38)},
MRNUMBER = {MR794414 (87g:55027)},
MRREVIEWER = {J. W. Rutter},
}
@article {MR923628,
AUTHOR = {Hardie, K. A. and Kamps, K. H.},
TITLE = {Homotopy over {$B$} and under {$A$}},
JOURNAL = {Cahiers Topologie G\'eom. Diff\'erentielle Cat\'eg.},
FJOURNAL = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle
Cat\'egoriques},
VOLUME = {28},
YEAR = {1987},
NUMBER = {3},
PAGES = {183--196},
ISSN = {0008-0004},
MRCLASS = {55P99},
MRNUMBER = {MR923628 (89d:55032)},
MRREVIEWER = {J. W. Rutter},
}
@article {MR0131451,
AUTHOR = {Kan, D. M.},
TITLE = {Adjoint functors},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {87},
YEAR = {1958},
PAGES = {294--329},
ISSN = {0002-9947},
MRCLASS = {18.10},
MRNUMBER = {0131451 (24 \#A1301)},
MRREVIEWER = {D. Puppe},
}
@article {MR0131873,
AUTHOR = {Kan, D. M.},
TITLE = {Functors involving c.s.s. complexes},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {87},
YEAR = {1958},
PAGES = {330--346},
ISSN = {0002-9947},
MRCLASS = {55.25},
MRNUMBER = {0131873 (24 \#A1720)},
MRREVIEWER = {D. Puppe},
}
@incollection {MR1000374,
AUTHOR = {Dwyer, W. G. and Kan, D. M.},
TITLE = {Homology with simplicial coefficients},
BOOKTITLE = {Algebraic topology (Arcata, CA, 1986)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1370},
PAGES = {143--149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1989},
MRCLASS = {55U10 (55N99)},
MRNUMBER = {MR1000374 (90d:55034)},
MRREVIEWER = {John F. Oprea},
}
@article {MR744846,
AUTHOR = {Dwyer, W. G. and Kan, D. M.},
TITLE = {A classification theorem for diagrams of simplicial sets},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {23},
YEAR = {1984},
NUMBER = {2},
PAGES = {139--155},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {55P15 (55U35)},
MRNUMBER = {MR744846 (86c:55010a)},
MRREVIEWER = {J. P. May},
}
@book {MR0345945,
AUTHOR = {Kaplansky, Irving},
TITLE = {Commutative rings},
EDITION = {Revised},
PUBLISHER = {The University of Chicago Press, Chicago, Ill.-London},
YEAR = {1974},
PAGES = {ix+182},
MRCLASS = {13-02},
MRNUMBER = {MR0345945 (49 \#10674)},
}
@book {MR1324341,
AUTHOR = {Kaplansky, Irving},
TITLE = {Fields and rings},
SERIES = {Chicago Lectures in Mathematics},
NOTE = {Reprint of the second (1972) edition},
PUBLISHER = {University of Chicago Press},
ADDRESS = {Chicago, IL},
YEAR = {1995},
PAGES = {x+206},
ISBN = {0-226-42451-0},
MRCLASS = {12-01 (16-01)},
MRNUMBER = {MR1324341 (96a:12001)},
}
@book {MR1264417,
AUTHOR = {Gelfand, I. M. and Kapranov, M. M. and Zelevinsky, A.
V.},
TITLE = {Discriminants, resultants, and multidimensional determinants},
SERIES = {Mathematics: Theory \& Applications},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1994},
PAGES = {x+523},
ISBN = {0-8176-3660-9},
MRCLASS = {14N05 (13D25 14M25 15A69 33C70 52B20)},
MRNUMBER = {1264417 (95e:14045)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR0238927,
AUTHOR = {Karoubi, Max},
TITLE = {Alg\`ebres de {C}lifford et {$K$}-th\'eorie},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {1},
YEAR = {1968},
PAGES = {161--270},
ISSN = {0012-9593},
MRCLASS = {18.20 (55.00)},
MRNUMBER = {0238927 (39 \#287)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0384894I,
AUTHOR = {Karoubi, Max},
TITLE = {Localisation de formes quadratiques. {I}},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {359--403},
ISSN = {0012-9593},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {0384894 (52 \#5764)},
MRREVIEWER = {Horst Pfeuffer},
}
@article {MR0384894II,
AUTHOR = {Karoubi, Max},
TITLE = {Localisation de formes quadratiques.{II}},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {8},
YEAR = {1975},
PAGES = {99--155},
ISSN = {0012-9593},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {0384894 (52 \#5764)},
MRREVIEWER = {Horst Pfeuffer},
}
@book {MR2458205,
AUTHOR = {Karoubi, Max},
TITLE = {{$K$}-theory},
SERIES = {Classics in Mathematics},
NOTE = {An introduction,
Reprint of the 1978 edition,
With a new postface by the author and a list of errata},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2008},
PAGES = {xviii+308+e-7},
ISBN = {978-3-540-79889-7},
MRCLASS = {19-02},
MRNUMBER = {2458205 (2009i:19001)},
DOI = {10.1007/978-3-540-79890-3},
URL = {http://dx.doi.org/10.1007/978-3-540-79890-3},
}
@book {MR0362360,
AUTHOR = {Karras, U. and Kreck, Matthias and Neumann, W. D. and Ossa, E.},
TITLE = {Cutting and pasting of manifolds; {${\rm SK}$}-groups},
NOTE = {Mathematics Lecture Series, No. 1},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1973},
PAGES = {vii+70},
MRCLASS = {57D80 (57D25 57D90)},
MRNUMBER = {0362360 (50 \#14802)},
MRREVIEWER = {K. H. Mayer},
}
@book {MR2109550,
AUTHOR = {Magnus, Wilhelm and Karrass, Abraham and Solitar, Donald},
TITLE = {Combinatorial group theory},
EDITION = {second},
NOTE = {Presentations of groups in terms of generators and relations},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {2004},
PAGES = {xii+444},
ISBN = {0-486-43830-9},
MRCLASS = {20E05 (05A15 20E06 20F12)},
MRNUMBER = {MR2109550 (2005h:20052)},
}
@article {MR596919,
AUTHOR = {Kas, A.},
TITLE = {On the handlebody decomposition associated to a {L}efschetz
fibration},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {89},
YEAR = {1980},
NUMBER = {1},
PAGES = {89--104},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57N15 (14F35 14J99)},
MRNUMBER = {596919 (82f:57012)},
MRREVIEWER = {R. Mandelbaum},
URL = {http://projecteuclid.org/euclid.pjm/1102779371},
}
@article {MR0242199,
AUTHOR = {Kas, Arnold},
TITLE = {On deformations of a certain type of irregular algebraic
surface},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {90},
YEAR = {1968},
PAGES = {789--804},
ISSN = {0002-9327},
MRCLASS = {57.70 (14.00)},
MRNUMBER = {MR0242199 (39 \#3532)},
MRREVIEWER = {E. Brieskorn},
}
@article {MR1670742,
AUTHOR = {Kasagawa, Ryoji},
TITLE = {An extension of {M}ilnor's inequality},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {36},
YEAR = {1999},
NUMBER = {1},
PAGES = {27--31},
ISSN = {0030-6126},
CODEN = {OJMAA7},
MRCLASS = {57R22 (57R20 58J20)},
MRNUMBER = {1670742 (2000e:57044)},
MRREVIEWER = {Xiaonan Ma},
URL = {http://projecteuclid.org/euclid.ojm/1200788445},
}
@article {MR1745445,
AUTHOR = {Kasagawa, Ryoji},
TITLE = {On a function on the mapping class group of a surface of genus
2},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {102},
YEAR = {2000},
NUMBER = {3},
PAGES = {219--237},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N05 (11F20 57M07)},
MRNUMBER = {1745445 (2001h:57021)},
MRREVIEWER = {Hans U. Boden},
DOI = {10.1016/S0166-8641(98)00157-6},
URL = {http://dx.doi.org/10.1016/S0166-8641(98)00157-6},
}
@book {MR1299726,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Sheaves on manifolds},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {292},
NOTE = {With a chapter in French by Christian Houzel,
Corrected reprint of the 1990 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {x+512},
ISBN = {3-540-51861-4},
MRCLASS = {58G07 (18F20 32C38 35A27)},
MRNUMBER = {MR1299726 (95g:58222)},
}
@book {MR2182076,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Categories and sheaves},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {332},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {x+497},
ISBN = {978-3-540-27949-5; 3-540-27949-0},
MRCLASS = {18-02 (14F05 18F20)},
MRNUMBER = {MR2182076 (2006k:18001)},
MRREVIEWER = {Corrado Marastoni},
}
@article {MR0362328,
AUTHOR = {Kato, Mitsuyoshi},
TITLE = {A classification of simple spinnable structures on a
{$1$}-connected {A}lexander manifold},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {26},
YEAR = {1974},
PAGES = {454--463},
ISSN = {0025-5645},
MRCLASS = {57D15 (57C45)},
MRNUMBER = {MR0362328 (50 \#14770)},
MRREVIEWER = {J. P. Levine},
}
@book {MR1335452,
AUTHOR = {Kato, Tosio},
TITLE = {Perturbation theory for linear operators},
SERIES = {Classics in Mathematics},
NOTE = {Reprint of the 1980 edition},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xxii+619},
ISBN = {3-540-58661-X},
MRCLASS = {47A55 (46-00 47-00)},
MRNUMBER = {MR1335452 (96a:47025)},
}
@book{1035.00005,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Sherlock Holmes in Babylon and other tales of mathematical history.}",
language="English",
publisher="{Washington, DC: The Mathematical Association of America (MAA). x,
387~p. \$~49.95 }",
year="2004",
abstract="{The papers on mathematical history in this anthology first appeared
in the American Mathematical Monthly (AMM), Mathematics Magazine (MM) and
the College Mathematics Journal (CMJ) during the period 1913--2002.
Occasionally, two papers on the same topic allow the reader to compare
historical perspectives. For example, the volume opens with two Monthly
papers on the Plimpton 322 tablet, one by R. C. Buck in 1980 and the other
by E. Robson in 2002. This is followed by a survey of Greek mathematics (600
BC - 600 AD) by M. Dehn (AMM, 1943-1944), an article on Diophantes by J. D.
Swift (AMM, 1956) and two articles on Hypatia by A. W. Richeson (MM, 1940)
and M. A. B. Deakin (AMM, 1994). This section on ancient mathematics is
rounded out by two articles on Chinese mathematics by F. Swetz (MM, 1979)
and P. D. Straffin (MM, 1998) and three on indigenous American mathematics
by W. C. Eells (AMM, 1913), A. W. Richeson (AMM, 1933) and M. Ascher (MM,
1992). \par The second section covers Medieval and Renaissance Mathematics
and treats three independent discoveries of the series formula for $\pi/4$
by R. Roy (MM, 1990), ideas of calculus in Islam and India by V. J. Katz
(MM, 1995), Indian contributions to calculus by D. Bressoud (CMJ, 2002),
al-Kashi's determination of $\sin 1^{\circ}$ by F. Riahi (CMJ, 1995),
Fibonacci's {\it Liber Quadratorum} by R. B. McClenon (AMM, 1919), the
algorist-abacist controversy in Europe by B. E. Reynolds (CMJ, 1993), the
Cardan-Tartaglia controversy by M. A. Nordgaard (MM, 1937--1938), Bombelli's
algebra by A. Arcavi and M. Bruckheimer (CMJ, 1991) and the first
mathematics book in America (Mexico, 1556) by D. E. Smith (AMM, 1921). \par
The third section on the seventeenth century focussed mainly on European
analysis. Here one finds articles on the integral of the secant by V. F.
Rickey and P. M. Tuchinsky (MM, 1980), the cycloid by E. A. Whitman (AMM,
1943), Descartes by J. Grabiner (MM, 1955) and by D. Dennis (MM, 1997),
James Gregory by M. Dehn and E. D. Hellinger (AMM, 1943), the evolution of
the derivative concept by J. V. Grabiner (MM, 1995), Roberval and Newton on
tangents by P. R. Wolfson (AMM, 2001), the logarithmic series by J. E.
Hofmann (MM, 1939), Newton by V. F. Rickey (CMJ, 1987), by B. Porciau (AMM,
1997), by C. B. Boyer (AMM, 1949) and by C. Christensen (CMJ, 1996), and
Leibniz by R. B. McClenon (AMM, 1923) and by D. Dennis and J. Confrey (CMJ,
1995). \par The final section takes us into the eighteenth century, with
papers on Brook Taylor and linear perspective by P. S. Jones (AMM, 1951),
fluxions by J. Grabiner (AMM, 1997) and by F. Cajori (AMM, 1917), the
Bernoullis and the harmonic series by W. Dunham (CMJ, 1987), the number $e$
by J. L. Coolidge (AMM, 1950) and the life and work of Euler by J. J.
Burckhardt (MM, 1983), by J. L\"utzen (MM, 1983), by W. Dunham (CMJ, 1991),
by A. P. Ferzola (CMJ, 1994) and H. M. Edwards (MM, 1983). \par The editors
provide a brief orientation for each section and suggestions for further
reading in an ``Afterword''.}",
reviewer="{Edward J. Barbeau (Toronto)}",
keywords="{history; exposition}",
classmath="{*00B60 (Collections of reprinted articles)
01A05 (General histories, source books)
26-03 (Historical (real functions))
51-03 (Historical (geometry))
}",
}
@book{1166.01003,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Who gave you the epsilon? and other tales of mathematical history.}",
language="English",
publisher="{Spectrum. Washington, DC: The Mathematical Association of America
(MAA). x, 429~p. \$~65.50 }",
year="2009",
abstract="{Lately the MAA has engaged in the custom of reprinting papers on
special topics. This book is a continuation of the bestselling ``Sherlock
Holmes in Babylon" (2004; Zbl 1035.00005), and there have been similar
collections, like ``The Genius of Euler" (2007; Zbl 1120.01009), ``Euler and
Modern Science" (translated in 2007; Zbl 1165.01010), and ``Musing of the
Masters" (2004). \par The book under review consists of a collection of 41
articles on the history of mathematics in the 19th and 20th centuries. The
articles are taken from MAA journals printed between 1900 and 2007. They are
written by well-known mathematicians (G. B. Halsted, G. H. Hardy, B. L. Van
der Waerden, H. Weyl, and others); the length of the papers runs between one
and some 20 pages. The collection is divided into analysis (10); geometry,
topology and foundations (11); algebra and number theory (16), and surveys
(4). \par There is no doubt that after decades the history of science has
made some progress, and in this book for each group such gaps are bridged by
Afterwords (2-3 pages) which give a short outlook whereas Forewords (2-3
pages) for each group embed and introduce the topics dealt with. Although
the papers are well chosen and interesting to read today, of course the
supplied frame, Fore- and Afterwords, is simply too short to be elucidating
in a satisfying way. \par Most of the articles were reviewed individually
earlier. That's why we will use three papers by way of example in order to
demonstrate the collection's advantage and disadvantage. The book opens with
Grabiner's article that gave the collection its title. This paper was
published in 1983, i.e., in a period when non-standard analysis had already
supplied other views on Cauchy, but such controversial views (in English J.
Cleave or G. Fisher, let alone D. Spalt in German) are omitted by the author
and the editors (in their Afterword). Nor is the recently published
translation of Cauchy's ``Cours d'Analyse" (1821), the first time in
English, mentioned. Grabiner states, ``Cauchy did not distinguish between
point-wise and uniform convergence" (p. 10) as well as ``But it was Cauchy
who gave rigorous definitions \dots and the modern rigorous approach to
calculus" (p. 12). If these statements (on continuity) were true, how could
Cauchy be rigorous on the basis of such vague and obviously confused
notions? Furthermore, we find two comments on the 2nd ICM in Paris in 1900,
one by Halsted (2 pp.) and the other one by Griffith (12 pp.), written a
century apart -- an interesting historical combination. \par Although the
intention of the editors is to present above all American papers in the
Afterwords, they leave the non-American reader anyhow irritated because this
concentration mostly on the U.S. book market overlooks some essential works,
like J.-P. Pier's ``Developing of Mathematics" (2000), one that surely
should be referenced.}",
reviewer="{R\"udiger Thiele (Halle)}",
keywords="{history of mathematics; 19th and 20th century}",
classmath="{*01-06 (Proceedings of conferences, etc. (history))
01A75 (Collected or selected works)
}",
}
@article {MR0375337,
AUTHOR = {Kauffman, Louis},
TITLE = {Branched coverings, open books and knot periodicity},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {143--160},
ISSN = {0040-9383},
MRCLASS = {57C45},
MRNUMBER = {MR0375337 (51 \#11532)},
MRREVIEWER = {D. W. L. Sumners},
}
@article {MR0385872,
AUTHOR = {Durfee, Alan and Kauffman, Louis},
TITLE = {Periodicity of branched cyclic covers},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {218},
YEAR = {1975},
NUMBER = {2},
PAGES = {157--174},
ISSN = {0025-5831},
MRCLASS = {57C45},
MRNUMBER = {MR0385872 (52 \#6731)},
MRREVIEWER = {Richard Randell},
}
@article {MR0388373,
AUTHOR = {Kauffman, Louis and Taylor, Laurence R.},
TITLE = {Signature of links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {216},
YEAR = {1976},
PAGES = {351--365},
ISSN = {0002-9947},
MRCLASS = {55A25},
MRNUMBER = {MR0388373 (52 \#9210)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0431208,
AUTHOR = {Kauffman, Louis and Banchoff, Thomas},
TITLE = {Immersions and {${\rm mod}$}-{$2$} quadratic forms},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {84},
YEAR = {1977},
NUMBER = {3},
PAGES = {168--188},
ISSN = {0002-9890},
MRCLASS = {57D40},
MRNUMBER = {MR0431208 (55 \#4210)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0488073,
AUTHOR = {Kauffman, Louis and Neumann, Walter D.},
TITLE = {Products of knots, branched fibrations and sums of
singularities},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {16},
YEAR = {1977},
NUMBER = {4},
PAGES = {369--393},
ISSN = {0040-9383},
MRCLASS = {57C45 (14B05)},
MRNUMBER = {0488073 (58 \#7644)},
MRREVIEWER = {Lee Rudolph},
}
@article {MR2118964,
AUTHOR = {Kauffman, Louis and Krylov, Nikolai A.},
TITLE = {Kernel of the variation operator and periodicity of open
books},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {148},
YEAR = {2005},
NUMBER = {1-3},
PAGES = {183--200},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N15 (57N37)},
MRNUMBER = {MR2118964},
}
@article {MR487047,
AUTHOR = {Goldsmith, Deborah L. and Kauffman, Louis},
TITLE = {Twist spinning revisited},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {239},
YEAR = {1978},
PAGES = {229--251},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {487047 (81f:57016)},
DOI = {10.2307/1997855},
URL = {http://dx.doi.org/10.2307/1997855},
}
@incollection {MR521734,
AUTHOR = {Kauffman, Louis},
TITLE = {Signature of branched fibrations},
BOOKTITLE = {Knot theory ({P}roc. {S}em., {P}lans-sur-{B}ex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {203--217},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57Q45 (55R55 57R40)},
MRNUMBER = {MR521734 (80f:57008)},
MRREVIEWER = {W. D. Neumann},
}
@article {MR2137471,
AUTHOR = {Barthel, Gottfried and Brasselet, Jean-Paul and Fieseler,
Karl-Heinz and Kaup, Ludger},
TITLE = {Combinatorial duality and intersection product: a direct
approach},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {57},
YEAR = {2005},
NUMBER = {2},
PAGES = {273--292},
ISSN = {0040-8735},
CODEN = {TOMJAM},
MRCLASS = {14F43 (52B99)},
MRNUMBER = {2137471 (2006a:14031)},
MRREVIEWER = {Boris J. Kazarnovski{\u\i}},
URL = {http://projecteuclid.org/getRecord?id=euclid.tmj/1119888340},
}
@article {MR0488022,
AUTHOR = {Kawauchi, Akio},
TITLE = {On the {A}lexander polynomials of cobordant links},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {15},
YEAR = {1978},
NUMBER = {1},
PAGES = {151--159},
ISSN = {0030-6126},
MRCLASS = {55A25},
MRNUMBER = {0488022 (58 \#7599)},
MRREVIEWER = {J. S. Birman},
}
@book {MR1417494,
AUTHOR = {Kawauchi, Akio},
TITLE = {A survey of knot theory},
NOTE = {Translated and revised from the 1990 Japanese original by the
author},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {1996},
PAGES = {xxii+420},
ISBN = {3-7643-5124-1},
MRCLASS = {57M25},
MRNUMBER = {MR1417494 (97k:57011)},
MRREVIEWER = {Sergei K. Lando},
}
@article {MR672939,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {I}. {N}ormal forms},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {10},
YEAR = {1982},
NUMBER = {1},
PAGES = {75--125},
ISSN = {0385-633X},
MRCLASS = {57R40 (57R70)},
MRNUMBER = {672939 (84d:57017)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR742906,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {II}. {S}ingularities
and cross-sectional links},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {1},
PAGES = {31--69},
ISSN = {0385-633X},
MRCLASS = {57Q45 (57M99 57R70)},
MRNUMBER = {742906 (85j:57033)},
MRREVIEWER = {R. C. Kirby},
}
@article{1979kearton,
jstor_articletype = {primary_article},
title = {The Milnor Signatures of Compound Knots},
author = {Kearton, C.},
journal = {Proceedings of the American Mathematical Society},
jstor_issuetitle = {},
volume = {76},
number = {1},
jstor_formatteddate = {Aug., 1979},
pages = {157--160},
url = {http://www.jstor.org/stable/2042936},
ISSN = {00029939},
abstract = {The Milnor signatures of a classical knot are related to those of its companions.},
language = {},
year = {1979},
publisher = {American Mathematical Society},
copyright = {Copyright � 1979 American Mathematical Society},
}
@article {MR0310899,
AUTHOR = {Kearton, C. and Lickorish, W. B. R.},
TITLE = {Piecewise linear critical levels and collapsing},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {170},
YEAR = {1972},
PAGES = {415--424},
ISSN = {0002-9947},
MRCLASS = {57C35},
MRNUMBER = {MR0310899 (46 \#9997)},
MRREVIEWER = {D. W. L. Sumners},
}
@article {MR0324706,
AUTHOR = {Kearton, C.},
TITLE = {Classification of simple knots by {B}lanchfield duality},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {79},
YEAR = {1973},
PAGES = {952--955},
MRCLASS = {57C45},
MRNUMBER = {MR0324706 (48 \#3056)},
MRREVIEWER = {Roger Fenn},
}
@article {MR0358795,
AUTHOR = {Kearton, C.},
TITLE = {Presentations of {$n$}-knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {202},
YEAR = {1975},
PAGES = {123--140},
ISSN = {0002-9947},
MRCLASS = {57C45},
MRNUMBER = {MR0358795 (50 \#11254)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0358796,
AUTHOR = {Kearton, C.},
TITLE = {Blanchfield duality and simple knots},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {202},
YEAR = {1975},
PAGES = {141--160},
MRCLASS = {57C45},
MRNUMBER = {MR0358796 (50 \#11255)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0385873,
AUTHOR = {Kearton, C.},
TITLE = {Cobordism of knots and {B}lanchfield duality},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {10},
YEAR = {1975},
NUMBER = {4},
PAGES = {406--408},
ISSN = {0024-6107},
MRCLASS = {57C45},
MRNUMBER = {MR0385873 (52 \#6732)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0442948,
AUTHOR = {Kearton, C.},
TITLE = {An algebraic classification of some even-dimensional knots},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {15},
YEAR = {1976},
NUMBER = {4},
PAGES = {363--373},
ISSN = {0040-9383},
MRCLASS = {57C45},
MRNUMBER = {MR0442948 (56 \#1323)},
MRREVIEWER = {D. W. L. Sumners},
}
@incollection {MR1803365,
AUTHOR = {Kearton, C.},
TITLE = {Quadratic forms in knot theory},
BOOKTITLE = {Quadratic forms and their applications (Dublin, 1999)},
SERIES = {Contemp. Math.},
VOLUME = {272},
PAGES = {135--154},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {57Q45 (11E12 57M25)},
MRNUMBER = {MR1803365 (2002a:57033)},
MRREVIEWER = {J. P. Levine},
}
@article {MR2088740,
AUTHOR = {Kearton, C.},
TITLE = {{$S$}-equivalence of knots},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {13},
YEAR = {2004},
NUMBER = {6},
PAGES = {709--717},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {2088740 (2005e:57022)},
MRREVIEWER = {Swatee Naik},
DOI = {10.1142/S0218216504003408},
URL = {http://dx.doi.org/10.1142/S0218216504003408},
}
@article {MR534830,
AUTHOR = {Kearton, C.},
TITLE = {Signatures of knots and the free differential calculus},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {30},
YEAR = {1979},
NUMBER = {118},
PAGES = {157--182},
ISSN = {0033-5606},
CODEN = {QJMAAT},
MRCLASS = {57M05},
MRNUMBER = {MR534830 (80h:57002)},
MRREVIEWER = {Kenneth A. Perko, Jr.},
}
@article {MR543720,
AUTHOR = {Kearton, C.},
TITLE = {Obstructions to embedding and isotopy in the metastable range},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {243},
YEAR = {1979},
NUMBER = {2},
PAGES = {103--113},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57Q37 (57Q35 57R10)},
MRNUMBER = {MR543720 (82k:57012)},
}
@article {MR616563,
AUTHOR = {Kearton, C.},
TITLE = {Hermitian signatures and double-null-cobordism of knots},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {The Journal of the London Mathematical Society. Second Series},
VOLUME = {23},
YEAR = {1981},
NUMBER = {3},
PAGES = {563--576},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {57M25},
MRNUMBER = {616563 (83h:57009)},
MRREVIEWER = {W. D. Neumann},
DOI = {10.1112/jlms/s2-23.3.563},
URL = {http://dx.doi.org/10.1112/jlms/s2-23.3.563},
}
@article {MR0117695,
AUTHOR = {Brown, Morton},
TITLE = {A proof of the generalized {S}choenflies theorem},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {66},
YEAR = {1960},
PAGES = {74--76},
ISSN = {0002-9904},
MRCLASS = {54.00 (57.00)},
MRNUMBER = {0117695 (22 \#8470b)},
MRREVIEWER = {S. Eilenberg},
}
@article {MR703762,
AUTHOR = {Kearton, C.},
TITLE = {Some nonfibred {$3$}-knots},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {15},
YEAR = {1983},
NUMBER = {4},
PAGES = {365--367},
ISSN = {0024-6093},
CODEN = {LMSBBT},
MRCLASS = {57Q45},
MRNUMBER = {MR703762 (84m:57014)},
MRREVIEWER = {Cameron McA. Gordon},
}
@article {MR961617,
AUTHOR = {Hillman, J. A. and Kearton, C.},
TITLE = {Seifert matrices and {$6$}-knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {309},
YEAR = {1988},
NUMBER = {2},
PAGES = {843--855},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {MR961617 (89j:57015)},
MRREVIEWER = {Alexander I. Suciu},
}
@article {MR715777,
AUTHOR = {Keef, Patrick W.},
TITLE = {On the {$S$}-equivalence of some general sets of matrices},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {13},
YEAR = {1983},
NUMBER = {3},
PAGES = {541--551},
ISSN = {0035-7596},
CODEN = {RMJMAE},
MRCLASS = {57Q45 (13B25 15A21 57M25)},
MRNUMBER = {MR715777 (85d:57019)},
MRREVIEWER = {J. P. Levine},
DOI = {10.1216/RMJ-1983-13-3-541},
URL = {http://dx.doi.org/10.1216/RMJ-1983-13-3-541},
}
@incollection {MR1421815,
AUTHOR = {Keller, Bernhard},
TITLE = {Derived categories and their uses},
BOOKTITLE = {Handbook of algebra, Vol.\ 1},
PAGES = {671--701},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1996},
MRCLASS = {18E30},
MRNUMBER = {MR1421815 (98h:18013)},
MRREVIEWER = {Jeremy Rickard},
}
@article {MR2795754,
AUTHOR = {Keller, Bernhard},
TITLE = {Deformed {C}alabi-{Y}au completions},
NOTE = {With an appendix by Michel Van den Bergh},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {654},
YEAR = {2011},
PAGES = {125--180},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {18E30 (13F60 16E35 16E45 18E35 18G10)},
MRNUMBER = {2795754 (2012j:18018)},
MRREVIEWER = {Gregoire Dupont},
DOI = {10.1515/CRELLE.2011.031},
URL = {http://dx.doi.org/10.1515/CRELLE.2011.031},
}
@article {MR0021315,
AUTHOR = {Kelley, J. L. and Pitcher, Everett},
TITLE = {Exact homomorphism sequences in homology theory},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {48},
YEAR = {1947},
PAGES = {682--709},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0021315 (9,52d)},
MRREVIEWER = {S. Eilenberg},
}
@book {MR0370454,
AUTHOR = {Kelley, J. L.},
TITLE = {General topology},
NOTE = {Reprint of the 1955 edition [Van Nostrand, Toronto, Ont.],
Graduate Texts in Mathematics, No. 27},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1975},
PAGES = {xiv+298},
MRCLASS = {54-XX},
MRNUMBER = {0370454 (51 \#6681)},
}
@article {MR1183528,
AUTHOR = {Kempf, George R.},
TITLE = {Deformations of semi-{E}uler characteristics},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {114},
YEAR = {1992},
NUMBER = {5},
PAGES = {973--978},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {14F05 (14D99)},
MRNUMBER = {MR1183528 (93k:14025)},
MRREVIEWER = {Nitin Nitsure},
}
@article{edelsbrunner_alexander_2011,
title = {Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore},
shorttitle = {Alexander Duality for Functions},
url = {http://arxiv.org/abs/1109.5052},
abstract = {This note contributes to the point calculus of persistent homology by extending Alexander duality to real-valued functions. Given a perfect Morse function \$f: S{\textasciicircum}{n+1} {\textbackslash}to [0,1]\$ and a decomposition {\$S{\textasciicircum}{n+1}} = U {\textbackslash}cup V\$ such that {\$M} = {{\textbackslash}U} {\textbackslash}cap V\$ is an \$n\$-manifold, we prove elementary relationships between the persistence diagrams of \$f\$ restricted to {\$U\$}, to {\$V\$}, and to {\$M\$.}},
journal = {{arXiv:1109.5052}},
author = {Edelsbrunner, Herbert and Kerber, Michael},
month = sep,
year = {2011},
keywords = {Computer Science - Computational Geometry, Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article {MR1549460,
AUTHOR = {Kerekjarto, B.},
TITLE = {Vorlesungen ueber Topologie},
YEAR = {1925},
PUBLISHER= {Springer},
}
@article {MR0086302,
AUTHOR = {Kervaire, M.},
TITLE = {Courbure int\'egrale g\'en\'eralis\'ee et homotopie},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {131},
YEAR = {1956},
PAGES = {219--252},
ISSN = {0025-5831},
MRCLASS = {55.0X},
MRNUMBER = {MR0086302 (19,160b)},
MRREVIEWER = {H. Hopf},
}
@article {MR0090051,
AUTHOR = {Kervaire, M.},
TITLE = {Relative characteristic classes},
JOURNAL = {Amer. J. Math.},
VOLUME = {79},
YEAR = {1957},
PAGES = {517--558},
MRCLASS = {55.0X},
MRNUMBER = {MR0090051 (19,760c)},
MRREVIEWER = {G. Hirsch},
}
@article {MR0102806,
AUTHOR = {Kervaire, M.},
TITLE = {On the {P}ontryagin classes of certain {${\rm SO}(n)$}-bundles
over manifolds},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {80},
YEAR = {1958},
PAGES = {632--638},
ISSN = {0002-9327},
MRCLASS = {55.00},
MRNUMBER = {MR0102806 (21 \#1592)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0102809,
AUTHOR = {Kervaire, M.},
TITLE = {An interpretation of {G}. {W}hitehead's generalization of {H}.
{H}opf's invariant},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {69},
YEAR = {1959},
PAGES = {345--365},
MRCLASS = {55.00},
MRNUMBER = {MR0102809 (21 \#1595)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0105118,
AUTHOR = {Kervaire, M.},
TITLE = {Sur le fibr\'e normal \`a une sph\`ere immerg\'ee dans un
espace euclidien},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {33},
YEAR = {1959},
PAGES = {121--131},
ISSN = {0010-2571},
MRCLASS = {55.00},
MRNUMBER = {MR0105118 (21 \#3863)},
MRREVIEWER = {S. Smale},
}
@article {MR0107863,
AUTHOR = {Kervaire, M.},
TITLE = {A note on obstructions and characteristic classes},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {81},
YEAR = {1959},
PAGES = {773--784},
ISSN = {0002-9327},
MRCLASS = {55.00},
MRNUMBER = {MR0107863 (21 \#6585)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0113230,
AUTHOR = {Kervaire, M.},
TITLE = {Sur l'invariant de {S}male d'un plongement},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {34},
YEAR = {1960},
PAGES = {127--139},
ISSN = {0010-2571},
MRCLASS = {57.00},
MRNUMBER = {MR0113230 (22 \#4068)},
MRREVIEWER = {S. Smale},
}
@article {MR0113237,
AUTHOR = {Kervaire, M.},
TITLE = {Some nonstable homotopy groups of {L}ie groups},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {4},
YEAR = {1960},
PAGES = {161--169},
ISSN = {0019-2082},
MRCLASS = {57.00},
MRNUMBER = {MR0113237 (22 \#4075)},
MRREVIEWER = {J. Dugundji},
}
@incollection {MR0121801,
AUTHOR = {Milnor, John W. and Kervaire, M.},
TITLE = {Bernoulli numbers, homotopy groups, and a theorem of {R}ohlin},
BOOKTITLE = {Proc. {I}nternat. {C}ongress {M}ath. 1958},
PAGES = {454--458},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {New York},
YEAR = {1960},
MRCLASS = {57.00 (55.00)},
MRNUMBER = {MR0121801 (22 \#12531)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0133134,
AUTHOR = {Kervaire, M. and Milnor, John W.},
TITLE = {On {$2$}-spheres in {$4$}-manifolds},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {47},
YEAR = {1961},
PAGES = {1651--1657},
MRCLASS = {57.20},
MRNUMBER = {MR0133134 (24 \#A2968)},
MRREVIEWER = {A. Haefliger},
}
@article {MR0139172,
AUTHOR = {Kervaire, M.},
TITLE = {A manifold which does not admit any differentiable structure},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {34},
YEAR = {1960},
PAGES = {257--270},
ISSN = {0010-2571},
MRCLASS = {57.10},
MRNUMBER = {MR0139172 (25 \#2608)},
MRREVIEWER = {R. Bott},
}
@article {MR0148075,
AUTHOR = {Kervaire, M. and Milnor, John W.},
TITLE = {Groups of homotopy spheres},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {77},
YEAR = {1963},
PAGES = {504--537},
MRCLASS = {57.10},
MRNUMBER = {MR0148075 (26 /#5584)},
MRREVIEWER = {J. F. Adams},
}
@incollection {MR0164353,
AUTHOR = {Kervaire, M.},
TITLE = {La m\'ethode de {P}ontryagin pour la classification des
applications sur une sph\`ere},
BOOKTITLE = {Topologia {D}ifferenziale ({C}entro {I}nternaz. {M}at.
{E}stivo, deg. 1 {C}iclo, {U}rbino, 1962), {L}ezione 3},
PAGES = {13},
PUBLISHER = {Edizioni Cremonese},
ADDRESS = {Rome},
YEAR = {1962},
MRCLASS = {57.20},
MRNUMBER = {MR0164353 (29 \#1650)},
MRREVIEWER = {J. F. Adams},
}
@incollection {MR0178475,
AUTHOR = {Kervaire, M.},
TITLE = {On higher dimensional knots},
BOOKTITLE = {Differential and {C}ombinatorial {T}opology ({A} {S}ymposium
in {H}onor of {M}arston {M}orse)},
PAGES = {105--119},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1965},
MRCLASS = {57.20 (55.20)},
MRNUMBER = {MR0178475 (31 \#2732)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0179802,
AUTHOR = {Kervaire, M.},
TITLE = {Geometric and algebraic intersection numbers},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {39},
YEAR = {1965},
PAGES = {271--280},
MRCLASS = {57.20 (57.32)},
MRNUMBER = {MR0179802 (31 \#4044)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0189052,
AUTHOR = {Kervaire, M.},
TITLE = {Les n\oe uds de dimensions sup\'erieures},
JOURNAL = {Bull. Soc. Math. France},
VOLUME = {93},
YEAR = {1965},
PAGES = {225--271},
MRCLASS = {57.20},
MRNUMBER = {MR0189052 (32 \#6479)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0208602,
AUTHOR = {Kervaire, M. and Vasquez, A.},
TITLE = {Simple-connectivity and the {B}rowder-{N}ovikov theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {126},
YEAR = {1967},
PAGES = {508--513},
ISSN = {0002-9947},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0208602 (34 \#8411)},
MRREVIEWER = {E. H. Brown},
}
@book {MR0222893,
AUTHOR = {de Rham, G. and Maumary, S. and Kervaire, M.},
TITLE = {Torsion et type simple d'homotopie},
SERIES = {Expos\'es faits au s\'eminaire de Topologie de l'Universit\'e
de Lausanne. Lecture Notes in Mathematics, No. 48},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1967},
PAGES = {iii+101},
MRCLASS = {55.40},
MRNUMBER = {MR0222893 (36 \#5943)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0253347,
AUTHOR = {Kervaire, M.},
TITLE = {Smooth homology spheres and their fundamental groups},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {144},
YEAR = {1969},
PAGES = {67--72},
ISSN = {0002-9947},
MRCLASS = {57.10},
MRNUMBER = {MR0253347 (40 \#6562)},
MRREVIEWER = {A. Liulevicius},
}
@incollection {MR0283786,
AUTHOR = {Kervaire, M.},
TITLE = {Knot cobordism in codimension two},
BOOKTITLE = {Manifolds--Amsterdam 1970 (Proc. Nuffic Summer School)},
SERIES = {Lecture Notes in Mathematics, Vol. 197},
PAGES = {83--105},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {55.20 (57.00)},
MRNUMBER = {MR0283786 (44 \#1016)},
MRREVIEWER = {J. P. Levine},
}
@book {MR0339227,
AUTHOR = {Kervaire, M.},
TITLE = {Lectures on the theorem of {B}rowder and {N}ovikov and
{S}iebenmann's thesis},
NOTE = {Notes by K. Varadarajan,
Tata Institute of Fundamental Research Lectures in
Mathematics, No. 46},
PUBLISHER = {Tata Institute of Fundamental Research},
ADDRESS = {Bombay},
YEAR = {1969},
PAGES = {ii+126},
MRCLASS = {57D65 (57C10)},
MRNUMBER = {MR0339227 (49 \#3989)},
MRREVIEWER = {P. J. Kahn},
}
@article {MR0488072,
AUTHOR = {Hausmann, J. C. and Kervaire, M.},
TITLE = {Sous-groupes deriv\'es des groupes de noeuds},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {24},
YEAR = {1978},
NUMBER = {1-2},
PAGES = {111--123},
ISSN = {0013-8584},
MRCLASS = {57C45},
MRNUMBER = {MR0488072 (58 \#7643)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR521731,
AUTHOR = {Kervaire, M. and Weber, Claude},
TITLE = {A survey of multidimensional knots},
BOOKTITLE = {Knot theory (Proc. Sem., Plans-sur-Bex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {61--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57Q45 (32C40)},
MRNUMBER = {MR521731 (80f:57009)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR819349,
AUTHOR = {Kervaire, M.},
TITLE = {Formes de {S}eifert et formes quadratiques enti\`eres},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {31},
YEAR = {1985},
NUMBER = {3-4},
PAGES = {173--186},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {57Q45 (11E39 11E81)},
MRNUMBER = {MR819349 (88a:57038)},
MRREVIEWER = {J. H. Rubinstein},
}
@article {MR874691,
AUTHOR = {de la Harpe, Pierre and Kervaire, M. and Weber, Claude},
TITLE = {On the {J}ones polynomial},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {32},
YEAR = {1986},
NUMBER = {3-4},
PAGES = {271--335},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {57M25 (20F38 46L99)},
MRNUMBER = {MR874691 (88f:57004)},
MRREVIEWER = {J. S. Birman},
}
@article {kervnas,
AUTHOR = {Kervaire, M.},
TITLE = {Non-parallelizability of the $n$-sphere, $n>7$},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {44},
YEAR = {1958},
PAGES = {280--283},
}
@article {MR1613055,
AUTHOR = {Keswani, Navin},
TITLE = {Homotopy invariance of relative eta-invariants and {$C^\ast$}-algebra {$K$}-theory},
JOURNAL = {Electron. Res. Announc. Amer. Math. Soc.},
FJOURNAL = {Electronic Research Announcements of the American Mathematical
Society},
VOLUME = {4},
YEAR = {1998},
PAGES = {18--26 (electronic)},
ISSN = {1079-6762},
MRCLASS = {19K56 (46L80 57R57 58G12)},
MRNUMBER = {1613055 (99b:19007)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1090/S1079-6762-98-00042-0},
URL = {http://dx.doi.org/10.1090/S1079-6762-98-00042-0},
}
@article{connolly_topological_2011,
title = {Topological rigidity and H\_1-negative involutions on tori},
url = {http://arxiv.org/abs/1102.2660},
abstract = {We prove there is only one involution (up to conjugacy) on the n-torus which acts as {-Id} on the first homology group when n is of the form 4k, is of the form 4k+1, or is less than 4. In all other cases we prove there are infinitely many such involutions up to conjugacy, but each of them has exactly 2{\textasciicircum}n fixed points and is conjugate to a smooth involution. The key technical point is that we completely compute the equivariant structure set for the corresponding crystallographic group action on R{\textasciicircum}n in terms of the Cappell {UNil-groups} arising from its infinite dihedral subgroups. We give a complete analysis of equivariant topological rigidity for this family of groups.},
journal = {1102.2660},
author = {Frank Connolly and Jim Davis and Qayum Khan},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article {hughkhan,
AUTHOR = {Hughes, Bruce and Khan, Qayum},
TITLE = {Dihedral manifold approximations over the circle},
YEAR = {2009},
}
@article{math.GT/0509053,
title = {{Manifolds homotopy equivalent to P^n # P^n}},
author = {Jeremy Brookman and Jim Davis and Qayum Khan},
eprint = {arXiv:math.GT/0509053},
}
@book {MR1795406,
AUTHOR = {Degtyarev, A. and Itenberg, I. and Kharlamov, V.},
TITLE = {Real {E}nriques surfaces},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1746},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {xvi+259},
ISBN = {3-540-41088-0},
MRCLASS = {14P05 (14J28)},
MRNUMBER = {1795406 (2001k:14100)},
MRREVIEWER = {Sergey M. Finashin},
DOI = {10.1007/BFb0103960},
URL = {http://dx.doi.org/10.1007/BFb0103960},
}
@book {MR2444949,
AUTHOR = {Viro, O. Ya. and Ivanov, O. A. and Netsvetaev, N. Yu. and
Kharlamov, V. M.},
TITLE = {Elementary topology},
NOTE = {Problem textbook},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2008},
PAGES = {xx+400},
ISBN = {978-0-8218-4506-6},
MRCLASS = {55-01 (54-01 57-01)},
MRNUMBER = {MR2444949},
}
@incollection {MR970085,
AUTHOR = {Kharlamov, V. M. and Viro, O. Ya.},
TITLE = {Extensions of the {G}udkov-{R}ohlin congruence},
BOOKTITLE = {Topology and geometry---{R}ohlin {S}eminar},
SERIES = {Lecture Notes in Math.},
VOLUME = {1346},
PAGES = {357--406},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1988},
MRCLASS = {14G30 (57R10)},
MRNUMBER = {970085 (90a:14030)},
MRREVIEWER = {Robert Silhol},
DOI = {10.1007/BFb0082784},
URL = {http://dx.doi.org/10.1007/BFb0082784},
}
@book {MR1612569,
AUTHOR = {Arnold, V. I. and Khesin, Boris A.},
TITLE = {Topological methods in hydrodynamics},
SERIES = {Applied Mathematical Sciences},
VOLUME = {125},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {xvi+374},
ISBN = {0-387-94947-X},
MRCLASS = {58-02 (35Q30 58B25 58D05 76-02 76M30)},
MRNUMBER = {1612569 (99b:58002)},
MRREVIEWER = {Nikolai K. Smolentsev},
}
@book {MR1451873,
AUTHOR = {Khinchin, A. Ya.},
TITLE = {Continued fractions},
EDITION = {Russian},
NOTE = {With a preface by B. V. Gnedenko,
Reprint of the 1964 translation},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {1997},
PAGES = {xii+95},
ISBN = {0-486-69630-8},
MRCLASS = {11A55 (01A75 11-03 11J70)},
MRNUMBER = {MR1451873 (98c:11008)},
}
@article {MR2402910,
AUTHOR = {Khovanskii, A. and Burda, Y.},
TITLE = {Degree of rational mappings, and the theorems of {S}turm and
{T}arski},
JOURNAL = {J. Fixed Point Theory Appl.},
FJOURNAL = {Journal of Fixed Point Theory and Applications},
VOLUME = {3},
YEAR = {2008},
NUMBER = {1},
PAGES = {79--93},
ISSN = {1661-7738},
MRCLASS = {14P10},
MRNUMBER = {MR2402910 (2009e:14102)},
MRREVIEWER = {Tobias Kaiser},
}
@book {MR2442472,
AUTHOR = {Khrushchev, Sergey},
TITLE = {Orthogonal polynomials and continued fractions},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {122},
NOTE = {From Euler's point of view},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2008},
PAGES = {xvi+478},
ISBN = {978-0-521-85419-1},
MRCLASS = {42-02 (11A55 33C45 40A15 41A50 42C05)},
MRNUMBER = {MR2442472},
}
@article {MR2092061,
AUTHOR = {Kim, Taehee},
TITLE = {Filtration of the classical knot concordance group and
{C}asson-{G}ordon invariants},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {137},
YEAR = {2004},
NUMBER = {2},
PAGES = {293--306},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57M25 (57M27)},
MRNUMBER = {MR2092061 (2005f:57014)},
MRREVIEWER = {Charles Livingston},
}
@article {MR2130571,
AUTHOR = {Kim, Taehee},
TITLE = {An infinite family of non-concordant knots having the same
{S}eifert form},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
Mathematical Society},
VOLUME = {80},
YEAR = {2005},
NUMBER = {1},
PAGES = {147--155},
ISSN = {0010-2571},
MRCLASS = {57M25 (57N70)},
MRNUMBER = {MR2130571 (2006a:57007)},
MRREVIEWER = {Uwe Kaiser},
}
@article {MR2218756,
AUTHOR = {Kim, Taehee},
TITLE = {New obstructions to doubly slicing knots},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {45},
YEAR = {2006},
NUMBER = {3},
PAGES = {543--566},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25 (57M27 57N70 57Q60)},
MRNUMBER = {MR2218756 (2007k:57013)},
MRREVIEWER = {Jae Choon Cha},
}
@article{math.GT/0505594,
title = {{Thurston norm, fibered manifolds and twisted Alexander
polynomials}},
author = {Stefan Friedl and Taehee Kim},
eprint = {arXiv:math.GT/0505594},
}
@article{math.GT/0505682,
title = {{Twisted Alexander norms give lower bounds on the Thurston
norm}},
author = {Stefan Friedl and Taehee Kim},
eprint = {arXiv:math.GT/0505682},
}
@article {MR2069805,
AUTHOR = {Calcut, Jack and King, H. C.},
TITLE = {Noncompact codimension-1 real algebraic manifolds},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {52},
YEAR = {2004},
NUMBER = {2},
PAGES = {361--373},
ISSN = {0026-2285},
MRCLASS = {14P25 (57R15 57R55)},
MRNUMBER = {MR2069805 (2005h:14138)},
MRREVIEWER = {Yildiray Ozan},
DOI = {10.1307/mmj/1091112080},
URL = {http://dx.doi.org/10.1307/mmj/1091112080},
}
@book {MR1240053,
AUTHOR = {Kinsey, L. Christine},
TITLE = {Topology of surfaces},
SERIES = {Undergraduate Texts in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {viii+262},
ISBN = {0-387-94102-9},
MRCLASS = {57-01 (54-01 55-01)},
MRNUMBER = {MR1240053 (94k:57001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@article {MR1923999,
AUTHOR = {Bryant, J. and Kirby, P.},
TITLE = {Splitting manifold approximate fibrations},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {1041--1050},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N35 (57P99)},
MRNUMBER = {MR1923999 (2003h:57030)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR0242165,
AUTHOR = {Kirby, Rob},
TITLE = {Stable homeomorphisms and the annulus conjecture},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {89},
YEAR = {1969},
PAGES = {575--582},
ISSN = {0003-486X},
MRCLASS = {57.01},
MRNUMBER = {MR0242165 (39 \#3499)},
MRREVIEWER = {M. L. Curtis},
}
@article {MR0242166,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {On the triangulation of manifolds and the {H}auptvermutung},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {75},
YEAR = {1969},
PAGES = {742--749},
MRCLASS = {57.01},
MRNUMBER = {MR0242166 (39 \#3500)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0283802,
AUTHOR = {Edwards, Robert D. and Kirby, Rob},
TITLE = {Deformations of spaces of imbeddings},
JOURNAL = {Ann. Math. (2)},
VOLUME = {93},
YEAR = {1971},
PAGES = {63--88},
MRCLASS = {57.01},
MRNUMBER = {MR0283802 (44 \#1032)},
MRREVIEWER = {K. Lamotke},
}
@incollection {MR0283807,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Some theorems on topological manifolds},
BOOKTITLE = {Manifolds--Amsterdam 1970 (Proc. Nuffic Summer School)},
SERIES = {Lecture Notes in Mathematics, Vol. 197},
PAGES = {1--7},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57.01},
MRNUMBER = {MR0283807 (44 \#1037)},
MRREVIEWER = {C. B. Thomas},
}
@incollection {MR0400237,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Normal bundles for codimension {$2$} locally flat imbeddings},
BOOKTITLE = {Geometric topology ({P}roc. {C}onf., {P}ark {C}ity, {U}tah,
1974)},
PAGES = {310--324. Lecture Notes in Math., Vol. 438},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {57A35},
MRNUMBER = {0400237 (53 \#4072)},
MRREVIEWER = {T. B. Rushing},
}
@article {MR0467753,
AUTHOR = {Kirby, Rob},
TITLE = {A calculus for framed links in {$S\sp{3}$}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {45},
YEAR = {1978},
NUMBER = {1},
PAGES = {35--56},
ISSN = {0020-9910},
MRCLASS = {57A10 (55A25)},
MRNUMBER = {MR0467753 (57 \#7605)},
MRREVIEWER = {Roger Fenn},
}
@book {MR0645390,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Foundational essays on topological manifolds, smoothings, and
triangulations},
NOTE = {With notes by John Milnor and Michael Atiyah,
Annals of Mathematics Studies, No. 88},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1977},
PAGES = {vii+355},
MRCLASS = {57-02 (57AXX)},
MRNUMBER = {MR0645390 (58 \#31082)},
MRREVIEWER = {Ronald J. Stern},
}
@book {MR1001966,
AUTHOR = {Kirby, Rob},
TITLE = {The topology of {$4$}-manifolds},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1374},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1989},
PAGES = {vi+108},
ISBN = {3-540-51148-2},
MRCLASS = {57N13 (57M25 57R15 57R20 57R75)},
MRNUMBER = {MR1001966 (90j:57012)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR1275766,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Dedekind sums, {$\mu$}-invariants and the signature cocycle},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {299},
YEAR = {1994},
NUMBER = {2},
PAGES = {231--267},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {11F20 (57M25 57N12 57N13)},
MRNUMBER = {MR1275766 (95h:11042)},
MRREVIEWER = {Terry Lawson},
}
@inproceedings {MR1701641,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Canonical framings for {$3$}-manifolds},
BOOKTITLE = {Proceedings of 6th {G}\"okova {G}eometry-{T}opology
{C}onference},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {23},
YEAR = {1999},
NUMBER = {1},
PAGES = {89--115},
ISSN = {1300-0098},
MRCLASS = {57R25 (57M27)},
MRNUMBER = {1701641 (2000k:57026)},
MRREVIEWER = {Hugh M. Hilden},
}
@inproceedings {MR2172485,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Local surgery formulas for quantum invariants and the {A}rf
invariant},
BOOKTITLE = {Proceedings of the {C}asson {F}est},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {7},
PAGES = {213--233 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2004},
MRCLASS = {57M27 (68Q17)},
MRNUMBER = {MR2172485 (2006g:57023)},
MRREVIEWER = {Lorenzo Traldi},
}
@incollection {MR520525,
AUTHOR = {Freedman, Michael H. and Kirby, Rob},
TITLE = {A geometric proof of Rochlin's theorem},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {85--97},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R95},
MRNUMBER = {520525 (80f:57015)},
MRREVIEWER = {Terry Lawson},
}
@incollection {MR537730,
AUTHOR = {Kirby, Rob and Scharlemann, Martin G.},
TITLE = {Eight faces of the {P}oincar\'e homology {$3$}-sphere},
BOOKTITLE = {Geometric topology ({P}roc. {G}eorgia {T}opology {C}onf.,
{A}thens, {G}a., 1977)},
PAGES = {113--146},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1979},
MRCLASS = {57Q45 (14B05 32B30)},
MRNUMBER = {MR537730 (80k:57042)},
MRREVIEWER = {Anatoly Libgober},
}
@article {MR593626,
AUTHOR = {Akbulut, Selman and Kirby, Rob},
TITLE = {Branched covers of surfaces in {$4$}-manifolds},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {252},
YEAR = {1979/80},
NUMBER = {2},
PAGES = {111--131},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57M12 (14J99 57N15)},
MRNUMBER = {MR593626 (82j:57001)},
MRREVIEWER = {R. Mandelbaum},
DOI = {10.1007/BF01420118},
URL = {http://dx.doi.org/10.1007/BF01420118},
}
@techreport{gay_indefinite_2011,
type = {{arXiv} e-print},
title = {Indefinite Morse 2-functions; broken fibrations and generalizations},
url = {http://arxiv.org/abs/1102.0750},
abstract = {A Morse 2-function is a generic smooth map from a smooth manifold to a surface. In the absence of definite folds (in which case we say that the Morse 2-function is indefinite), these are natural generalizations of broken (Lefschetz) fibrations. We prove existence and uniqueness results for indefinite Morse 2-functions mapping to arbitrary compact, oriented surfaces. {"Uniqueness"} means there is a set of moves which are sufficient to go between two homotopic indefinite Morse 2-functions while remaining indefinite throughout. We extend the existence and uniqueness results to indefinite, Morse 2-functions with connected fibers.},
number = {1102.0750},
urldate = {2013-07-10},
author = {Gay, David T. and Kirby, Rob},
month = feb,
year = {2011},
keywords = {{57M50} (Primary) {57R17}, {57R45} (Secondary), Mathematics - Differential Geometry, Mathematics - Geometric Topology},
annote = {Comment: 71 pages, 39 figures; errors corrected, some exposition added,
other exposition improved, following referee's comments},
}
@article{gay_trisecting_2012,
title = {Trisecting 4-manifolds},
url = {http://arxiv.org/abs/1205.1565},
urldate = {2013-04-04},
journal = {{arXiv:1205.1565}},
author = {Gay, David T. and Kirby, Rob},
month = may,
year = {2012},
keywords = {{57M99} (Primary) {57R45} (Secondary),
Mathematics - Geometric Topology},
}
@article {MR1289334,
AUTHOR = {Kirk, Paul and Klassen, Eric and Ruberman, Daniel},
TITLE = {Splitting the spectral flow and the {A}lexander matrix},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {69},
YEAR = {1994},
NUMBER = {3},
PAGES = {375--416},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R57 (57N10 57R20 58G10)},
MRNUMBER = {MR1289334 (95h:57037)},
MRREVIEWER = {Louis Funar},
DOI = {10.1007/BF02564494},
URL = {http://dx.doi.org/10.1007/BF02564494},
}
@article {MR1305980,
AUTHOR = {Kirk, Paul and Klassen, Eric},
TITLE = {Computing spectral flow via cup products},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {40},
YEAR = {1994},
NUMBER = {3},
PAGES = {505--562},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57R57 (58G10)},
MRNUMBER = {MR1305980 (95j:57037)},
MRREVIEWER = {Dave Auckly},
}
@article {MR1670420,
AUTHOR = {Kirk, Paul and Livingston, Charles},
TITLE = {Twisted {A}lexander invariants, {R}eidemeister torsion, and
{C}asson-{G}ordon invariants},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {3},
PAGES = {635--661},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25 (57Q45)},
MRNUMBER = {MR1670420 (2000c:57010)},
MRREVIEWER = {C. Kearton},
}
@article {MR1670424,
AUTHOR = {Kirk, Paul and Livingston, Charles},
TITLE = {Twisted knot polynomials: inversion, mutation and concordance},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {3},
PAGES = {663--671},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25},
MRNUMBER = {MR1670424 (2000c:57011)},
MRREVIEWER = {C. Kearton},
}
@article {MR1825661,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul
and Klassen, Eric},
TITLE = {Gauge theoretic invariants of {D}ehn surgeries on knots},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {5},
YEAR = {2001},
PAGES = {143--226 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R57 (58J28 58J30)},
MRNUMBER = {MR1825661 (2002e:57041)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.2140/gt.2001.5.143},
URL = {http://dx.doi.org/10.2140/gt.2001.5.143},
}
@book {MR1841974,
AUTHOR = {Davis, Jim and Kirk, Paul},
TITLE = {Lecture notes in algebraic topology},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {35},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xvi+367},
ISBN = {0-8218-2160-1},
MRCLASS = {55-01 (57-01)},
MRNUMBER = {MR1841974 (2002f:55001)},
MRREVIEWER = {Don Shimamoto},
}
@article {MR1997333,
AUTHOR = {Kirk, Paul and Lesch, Matthias},
TITLE = {On the rho invariant for manifolds with boundary},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {3},
YEAR = {2003},
PAGES = {623--675 (electronic)},
ISSN = {1472-2747},
MRCLASS = {58J28 (57M27 58J30 58J32)},
MRNUMBER = {MR1997333 (2005c:58043)},
}
@article {MR2044028,
AUTHOR = {Kirk, Paul and Lesch, Matthias},
TITLE = {The {$\eta$}-invariant, {M}aslov index, and spectral flow for
{D}irac-type operators on manifolds with boundary},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {16},
YEAR = {2004},
NUMBER = {4},
PAGES = {553--629},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {58J28 (58J30 58J32)},
MRNUMBER = {MR2044028 (2005b:58029)},
MRREVIEWER = {Thomas Schick},
}
@incollection {MR2114487,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The {C}alder\'on projector for the odd signature operator and
spectral flow calculations in 3-dimensional topology},
BOOKTITLE = {Spectral geometry of manifolds with boundary and decomposition
of manifolds},
SERIES = {Contemp. Math.},
VOLUME = {366},
PAGES = {125--150},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2005},
MRCLASS = {58J30 (57M27 58J28)},
MRNUMBER = {MR2114487 (2005k:58039)},
MRREVIEWER = {Tatyana E. Foth},
}
@article {MR2191768,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul},
TITLE = {The integer valued {${\rm SU}(3)$} {C}asson invariant for
{B}rieskorn spheres},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {71},
YEAR = {2005},
NUMBER = {1},
PAGES = {23--83},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57M27 (57R57 58J30)},
MRNUMBER = {MR2191768 (2006j:57026)},
MRREVIEWER = {Nikolai N. Saveliev},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1143644312},
}
@book {MR1159092,
AUTHOR = {Kirwan, Frances},
TITLE = {Complex algebraic curves},
SERIES = {London Mathematical Society Student Texts},
VOLUME = {23},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1992},
PAGES = {viii+264},
ISBN = {0-521-41251-X; 0-521-42353-8},
MRCLASS = {14Hxx (14-01)},
MRNUMBER = {MR1159092 (93j:14025)},
MRREVIEWER = {S. Zdravkovska},
}
@book {MR1304906,
AUTHOR = {Mumford, David and Fogarty, J. and Kirwan, Frances},
TITLE = {Geometric invariant theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results
in Mathematics and Related Areas (2)]},
VOLUME = {34},
EDITION = {Third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xiv+292},
ISBN = {3-540-56963-4},
MRCLASS = {14D25 (58E05 58F05)},
MRNUMBER = {MR1304906 (95m:14012)},
MRREVIEWER = {Yi Hu},
}
@book {MR2207421,
AUTHOR = {Kirwan, Frances and Woolf, Jonathan},
TITLE = {An introduction to intersection homology theory},
EDITION = {Second},
PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL},
YEAR = {2006},
PAGES = {xiv+229},
ISBN = {978-1-58488-184-1; 1-58488-184-4},
MRCLASS = {32S60 (14F43 55-02 55N33)},
MRNUMBER = {MR2207421 (2006k:32061)},
MRREVIEWER = {Laurentiu G. Maxim},
}
@article {MR0180986,
AUTHOR = {Kister, J. M.},
TITLE = {Microbundles are fibre bundles},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {80},
YEAR = {1964},
PAGES = {190--199},
ISSN = {0003-486X},
MRCLASS = {57.30},
MRNUMBER = {MR0180986 (31 \#5216)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0256399,
AUTHOR = {Cheeger, J. and Kister, J. M.},
TITLE = {Counting topological manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {149--151},
ISSN = {0040-9383},
MRCLASS = {57.01 (54.00)},
MRNUMBER = {0256399 (41 \#1055)},
MRREVIEWER = {H. Noguchi},
}
@article {MR1405595,
AUTHOR = {Kitano, Teruaki},
TITLE = {Twisted {A}lexander polynomial and {R}eidemeister torsion},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {174},
YEAR = {1996},
NUMBER = {2},
PAGES = {431--442},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57M25},
MRNUMBER = {MR1405595 (97g:57007)},
MRREVIEWER = {Charilaos Aneziris},
}
@article {MR2130565,
AUTHOR = {Goda, Hiroshi and Kitano, Teruaki and Morifuji, Takayuki},
TITLE = {Reidemeister torsion, twisted {A}lexander polynomial and
fibered knots},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
Mathematical Society},
VOLUME = {80},
YEAR = {2005},
NUMBER = {1},
PAGES = {51--61},
ISSN = {0010-2571},
MRCLASS = {57M25 (57M05 57Q10)},
MRNUMBER = {MR2130565 (2005m:57008)},
MRREVIEWER = {Charles Livingston},
}
@article {MR2079597,
AUTHOR = {Bauer, Tilman and Kitchloo, Nitu and Notbohm, Dietrich and
Pedersen, Erik K.},
TITLE = {Finite loop spaces are manifolds},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {192},
YEAR = {2004},
NUMBER = {1},
PAGES = {5--31},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {57R19 (55P35 55P45 57R10 57R65)},
MRNUMBER = {2079597 (2005i:57035)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.1007/BF02441084},
URL = {http://dx.doi.org/10.1007/BF02441084},
}
@article {MR1289334,
AUTHOR = {Kirk, Paul and Klassen, Eric and Ruberman, Daniel},
TITLE = {Splitting the spectral flow and the {A}lexander matrix},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {69},
YEAR = {1994},
NUMBER = {3},
PAGES = {375--416},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R57 (57N10 57R20 58G10)},
MRNUMBER = {MR1289334 (95h:57037)},
MRREVIEWER = {Louis Funar},
DOI = {10.1007/BF02564494},
URL = {http://dx.doi.org/10.1007/BF02564494},
}
@article {MR1305980,
AUTHOR = {Kirk, Paul and Klassen, Eric},
TITLE = {Computing spectral flow via cup products},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {40},
YEAR = {1994},
NUMBER = {3},
PAGES = {505--562},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57R57 (58G10)},
MRNUMBER = {MR1305980 (95j:57037)},
MRREVIEWER = {Dave Auckly},
}
@article {MR1825661,
AUTHOR = {Boden, Hans U. and Herald, Christopher M. and Kirk, Paul
and Klassen, Eric},
TITLE = {Gauge theoretic invariants of {D}ehn surgeries on knots},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {5},
YEAR = {2001},
PAGES = {143--226 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R57 (58J28 58J30)},
MRNUMBER = {MR1825661 (2002e:57041)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.2140/gt.2001.5.143},
URL = {http://dx.doi.org/10.2140/gt.2001.5.143},
}
@article {MR1410474,
AUTHOR = {Klaus, Stephan},
TITLE = {The {O}chanine {$k$}-invariant is a {B}rown-{K}ervaire
invariant},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {36},
YEAR = {1997},
NUMBER = {1},
PAGES = {257--270},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R20 (55N35 57R65)},
MRNUMBER = {1410474 (97g:57034)},
MRREVIEWER = {Edgar H. Brown, Jr.},
DOI = {10.1016/0040-9383(95)00063-1},
URL = {http://dx.doi.org/10.1016/0040-9383(95)00063-1},
}
@preprint{klausteichner,
AUTHOR = {Stephan Klaus and Peter Teichner},
TITLE = {The Chern-Hirzebruch-Serre theorem for the signature modulo 8},
}
@book {MR0158068,
AUTHOR = {Klein, Felix},
TITLE = {On {R}iemann's theory of algebraic functions and their
integrals. {A} supplement to the usual treatises},
SERIES = {Translated from the German by Frances Hardcastle},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1963},
PAGES = {xii+76},
MRCLASS = {30.46 (14.35)},
MRNUMBER = {MR0158068 (28 \#1295)},
}
@article {MR1141787,
AUTHOR = {Klein, John R.},
TITLE = {A functional relation in stable knot theory},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {292},
YEAR = {1992},
NUMBER = {1},
PAGES = {103--109},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57Q45},
MRNUMBER = {MR1141787 (93d:57044)},
MRREVIEWER = {Alexander I. Suciu},
}
@article {MR1670412,
AUTHOR = {Klein, John R.},
TITLE = {Poincar\'e duality embeddings and fiberwise homotopy theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {3},
PAGES = {597--620},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57P10 (55R99)},
MRNUMBER = {MR1670412 (2000b:57037)},
MRREVIEWER = {Erik K. Pedersen},
}
@incollection {MR1778110,
AUTHOR = {Klein, John R.},
TITLE = {Poincar\'e embeddings of spheres},
BOOKTITLE = {Geometry and topology: Aarhus (1998)},
SERIES = {Contemp. Math.},
VOLUME = {258},
PAGES = {263--274},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {57P10 (57R19 57R40)},
MRNUMBER = {MR1778110 (2001g:57045)},
MRREVIEWER = {V. P. Snaith},
}
@article {MR1819876,
AUTHOR = {Klein, John R.},
TITLE = {The dualizing spectrum of a topological group},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {319},
YEAR = {2001},
NUMBER = {3},
PAGES = {421--456},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {55P91 (20J05 55N91 55P42 57P10)},
MRNUMBER = {MR1819876 (2001m:55037)},
MRREVIEWER = {Richard John Steiner},
}
@article {MR1829311,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {I}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {160},
YEAR = {2001},
NUMBER = {1},
PAGES = {21--52},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1829311 (2002a:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1868117,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {II}. {T}he canonical involution},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {1},
PAGES = {53--82},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1868117 (2002i:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1917055,
AUTHOR = {Klein, John R.},
TITLE = {Embedding, compression and fiberwise homotopy theory},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {2},
YEAR = {2002},
PAGES = {311--336 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57P10},
MRNUMBER = {MR1917055 (2003g:57034)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR1930266,
AUTHOR = {Klein, John R.},
TITLE = {Poincar\'e duality embeddings and fibrewise homotopy theory.
{II}},
JOURNAL = {Q. J. Math.},
FJOURNAL = {The Quarterly Journal of Mathematics},
VOLUME = {53},
YEAR = {2002},
NUMBER = {3},
PAGES = {319--335},
ISSN = {0033-5606},
MRCLASS = {57P10 (55R99)},
MRNUMBER = {MR1930266 (2003h:57031)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR2135543,
AUTHOR = {Klein, John R.},
TITLE = {Poincar\'e submersions},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {5},
YEAR = {2005},
PAGES = {23--29 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57P10},
MRNUMBER = {MR2135543},
}
@article {MR2146234,
AUTHOR = {Klein, John R.},
TITLE = {On embeddings in the sphere},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {133},
YEAR = {2005},
NUMBER = {9},
PAGES = {2783--2793 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55P25 (57Q35)},
MRNUMBER = {MR2146234},
}
@article {MR2326939,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {Homotopical intersection theory. {I}},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {939--977},
MRCLASS = {55N45 (57R19)},
MRNUMBER = {MR2326939},
}
@article {MR2326940,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {Homotopical intersection theory. {II} Equivariance},
JOURNAL = {Math. Z.},
}
@article {MR2407063,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {III}. {T}he nil-term},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {136},
YEAR = {2008},
NUMBER = {9},
PAGES = {3025--3033},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR2407063},
}
@article {MR2529299,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {The refined transfer, bundle structures, and algebraic
{$K$}-theory},
JOURNAL = {J. Topol.},
FJOURNAL = {Journal of Topology},
VOLUME = {2},
YEAR = {2009},
NUMBER = {2},
PAGES = {321--345},
ISSN = {1753-8416},
MRCLASS = {55R12 (19D10 55R10 55R15)},
MRNUMBER = {2529299 (2010m:55014)},
MRREVIEWER = {Marian F. Anton},
DOI = {10.1112/jtopol/jtp010},
URL = {http://dx.doi.org/10.1112/jtopol/jtp010},
}
@article{klein_fake,
AUTHOR={Klein, John R. and Peter, John W.},
TITLE={Fake wedges},
}
@article{klein_smoothing_2010,
title = {Smoothing theory revisited},
url = {http://arxiv.org/abs/1006.2189},
abstract = {We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.},
journal = {1006.2189},
author = {John R. Klein and Bruce Williams},
month = jun,
year = {2010},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{kleirich,
AUTHOR = {Klein, John R. and Richter, William},
TITLE = {Nonfiberwise simply connected Poincar\'e surgery},
}
@article{math.AT/0611036,
title = {{Poincare Complex Diagonals}},
author = {John R. Klein},
eprint = {arXiv:math.AT/0611036},
}
@article{math.AT/0705.0930,
title = {The fundamental theorem for the algebraic {K}-theory of spaces. III.
the nil-term},
author = {John R. Klein and Bruce Williams},
eprint = {arXiv:math.AT/0705.0930},
}
@article {umkehr,
AUTHOR = {Klein, John R. and Cohen, Ralph},
TITLE = {Umkehr maps},
}
@article{klette2000,
title = {Cell complexes through time},
journal = {CITR preprint},
author = {Reinhard Klette},
year = {2001},
}
@article {MR0067079,
AUTHOR = {Klingenberg, Wilhelm and Witt, Ernst},
TITLE = {\"{U}ber die {A}rfsche {I}nvariante quadratischer {F}ormen mod
{$2$}},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {193},
YEAR = {1954},
PAGES = {121--122},
ISSN = {0075-4102},
MRCLASS = {09.0X},
MRNUMBER = {MR0067079 (16,667c)},
MRREVIEWER = {C. Arf},
}
@article {MR2156666,
AUTHOR = {Guilfoyle, Brendan and Klingenberg, Wilhelm},
TITLE = {An indefinite {K}\"ahler metric on the space of oriented
lines},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {72},
YEAR = {2005},
NUMBER = {2},
PAGES = {497--509},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {53C50 (53C28 53C55)},
MRNUMBER = {MR2156666 (2006e:53125)},
MRREVIEWER = {Antonella Nannicini},
DOI = {10.1112/S0024610705006605},
URL = {http://dx.doi.org/10.1112/S0024610705006605},
}
@article {MR0418091,
AUTHOR = {Knapp, Karlheinz},
TITLE = {Das {B}ild des {H}urewicz-{H}omomorphismus {$h:\pi {\rm
^{{\rm }s}}_{\sp*}(BZ_{p})\rightarrow
K_{1}(BZ_{p})$}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {223},
YEAR = {1976},
NUMBER = {2},
PAGES = {119--138},
ISSN = {0025-5831},
MRCLASS = {55E10},
MRNUMBER = {0418091 (54 \#6135)},
MRREVIEWER = {K. H. Mayer},
}
@article {knappthesis,
AUTHOR = {Knapp, Karlheinz},
TITLE = {Signaturedefekte Modulo Z fuer freie G-Aktionen},
NOTES = {Ph.D. thesis},
YEAR = {1975},
}
@article {MR0056607,
AUTHOR = {Kneser, Martin and Puppe, Dieter},
TITLE = {Quadratische {F}ormen und {V}erschlingungsinvarianten von
{K}noten},
JOURNAL = {Math. Z.},
VOLUME = {58},
YEAR = {1953},
PAGES = {376--384},
MRCLASS = {20.0X},
MRNUMBER = {MR0056607 (15,100c)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0067080,
AUTHOR = {Kneser, Martin},
TITLE = {Bestimmung des {Z}entrums der {C}liffordschen {A}lgebren einer
quadratischen {F}orm \"uber einem {K}\"orper der
{C}harakteristik {$2$}},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {193},
YEAR = {1954},
PAGES = {123--125},
ISSN = {0075-4102},
MRCLASS = {09.0X},
MRNUMBER = {MR0067080 (16,667d)},
MRREVIEWER = {C. Arf},
}
@book {MR1096299,
AUTHOR = {Knus, Max-Albert},
TITLE = {Quadratic and {H}ermitian forms over rings},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {294},
NOTE = {With a foreword by I. Bertuccioni},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1991},
PAGES = {xii+524},
ISBN = {3-540-52117-8},
MRCLASS = {11Exx (11E39 11E81 16E20 19Gxx)},
MRNUMBER = {MR1096299 (92i:11039)},
MRREVIEWER = {Rudolf Scharlau},
}
@book {MR1632779,
AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
Tignol, Jean-Pierre},
TITLE = {The book of involutions},
SERIES = {American Mathematical Society Colloquium Publications},
VOLUME = {44},
NOTE = {With a preface in French by J. Tits},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xxii+593},
ISBN = {0-8218-0904-0},
MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
MRNUMBER = {MR1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}
@book {MR1001562,
AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
TITLE = {Concrete mathematics},
NOTE = {A foundation for computer science},
PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
ADDRESS = {Reading, MA},
YEAR = {1989},
PAGES = {xiv+625},
ISBN = {0-201-14236-8},
MRCLASS = {00A05 (00-01 05-01 68-01 68Rxx)},
MRNUMBER = {1001562 (91f:00001)},
MRREVIEWER = {Volker Strehl},
}
@book {MR886476,
AUTHOR = {Brieskorn, Egbert and Kn{\"o}rrer, Horst},
TITLE = {Plane algebraic curves},
NOTE = {Translated from the German by John Stillwell},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {1986},
PAGES = {vi+721},
ISBN = {3-7643-1769-8},
MRCLASS = {14-01 (14H20 14Hxx)},
MRNUMBER = {MR886476 (88a:14001)},
}
@article {MR1010376,
AUTHOR = {Ko, Ki Hyoung},
TITLE = {A {S}eifert-matrix interpretation of {C}appell and
{S}haneson's approach to link cobordisms},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {106},
YEAR = {1989},
NUMBER = {3},
PAGES = {531--545},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57Q45},
MRNUMBER = {MR1010376 (90j:57017)},
MRREVIEWER = {C. Kearton},
}
@article{MR1692511,
AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung},
TITLE = {Signature invariants of links from irregular covers and
non-abelian covers},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {127},
YEAR = {1999},
NUMBER = {1},
PAGES = {67--81},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57M27 (57M12 57M25)},
MRNUMBER = {1692511 (2000d:57014)},
MRREVIEWER = {Sadayoshi Kojima},
DOI = {10.1017/S0305004199003606},
URL = {http://dx.doi.org/10.1017/S0305004199003606},
}
@article{MR1923217,
AUTHOR = {Cha, Jae Choon and Ko, Ki Hyoung},
TITLE = {Signatures of links in rational homology spheres},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {6},
PAGES = {1161--1182},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45 (57M25 57Q60)},
MRNUMBER = {1923217 (2003g:57036)},
MRREVIEWER = {Swatee Naik},
DOI = {10.1016/S0040-9383(01)00029-5},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00029-5},
}
@article {MR869227,
AUTHOR = {Ko, Ki Hyoung},
TITLE = {Seifert matrices and boundary link cobordisms},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {299},
YEAR = {1987},
NUMBER = {2},
PAGES = {657--681},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (57Q60 57R65)},
MRNUMBER = {MR869227 (88h:57018)},
}
@article {MR1696428,
AUTHOR = {Kobal, Damjan},
TITLE = {{$K$}-theory, {H}ermitian {$K$}-theory and the {K}aroubi
tower},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {17},
YEAR = {1999},
NUMBER = {2},
PAGES = {113--140},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19G38 (11E70 19L47)},
MRNUMBER = {1696428 (2000g:19002)},
MRREVIEWER = {L. N. Vaserstein},
DOI = {10.1023/A:1007799508729},
URL = {http://dx.doi.org/10.1023/A:1007799508729},
}
@article {MR1696429,
AUTHOR = {Kobal, Damjan},
TITLE = {The {K}aroubi tower and {$K$}-theory invariants of {H}ermitian
forms},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {17},
YEAR = {1999},
NUMBER = {2},
PAGES = {141--150},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19G38 (11E70 19L47)},
MRNUMBER = {1696429 (2000g:19003)},
MRREVIEWER = {L. N. Vaserstein},
DOI = {10.1023/A:1007780424659},
URL = {http://dx.doi.org/10.1023/A:1007780424659},
}
@book {MR13939401,
AUTHOR = {Kobayashi, Shoshichi and Nomizu, Katsumi},
TITLE = {Foundations of differential geometry. {V}ol. {I}},
SERIES = {Wiley Classics Library},
NOTE = {Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1996},
PAGES = {xii+329},
ISBN = {0-471-15733-3},
MRCLASS = {53-01},
MRNUMBER = {1393940 (97c:53001a)},
}
@book {MR13939402,
AUTHOR = {Kobayashi, Shoshichi and Nomizu, Katsumi},
TITLE = {Foundations of differential geometry. {V}ol. {II}},
SERIES = {Wiley Classics Library},
NOTE = {Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1996},
PAGES = {xii+329},
ISBN = {0-471-15733-3},
MRCLASS = {53-01},
MRNUMBER = {1393940 (97c:53001b)},
}
@article {MR2409474,
AUTHOR = {Kobayashi, Teiichi and Yoshida, Toshio},
TITLE = {Universal {W}u classes, universal {S}tiefel-{W}hitney classes
and an endomorphism {$D\sb k$} of {$H\sp *(B{\rm O};Z\sb 2)$}},
JOURNAL = {Kochi J. Math.},
FJOURNAL = {Kochi Journal of Mathematics},
VOLUME = {3},
YEAR = {2008},
PAGES = {77--98},
ISSN = {1880-5515},
MRCLASS = {55R40 (55S05)},
MRNUMBER = {MR2409474 (2008m:55031)},
MRREVIEWER = {Donald M. Davis},
}
@article {MR675527,
AUTHOR = {Kobelski{\u\i}, V. L.},
TITLE = {Isotopy classification of odd-dimensional simple links of
codimension two},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {46},
YEAR = {1982},
NUMBER = {5},
PAGES = {983--993, 1135},
ISSN = {0373-2436},
MRCLASS = {57Q45},
MRNUMBER = {MR675527 (84d:57012)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR1603317,
AUTHOR = {Bunke, U. and Koch, H.},
TITLE = {The {$\eta$}-form and a generalized {M}aslov index},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {95},
YEAR = {1998},
NUMBER = {2},
PAGES = {189--212},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {58G10 (58F05)},
MRNUMBER = {MR1603317 (99b:58221)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR0216521,
AUTHOR = {Kodaira, K.},
TITLE = {A certain type of irregular algebraic surfaces},
JOURNAL = {J. Analyse Math.},
FJOURNAL = {Journal d'Analyse Math\'ematique},
VOLUME = {19},
YEAR = {1967},
PAGES = {207--215},
ISSN = {0021-7670},
MRCLASS = {57.60},
MRNUMBER = {MR0216521 (35 \#7354)},
MRREVIEWER = {K. H. Mayer},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@article {MR2738361,
AUTHOR = {Angeleri H{\"u}gel, Lidia and Koenig, Steffen and Liu, Qunhua},
TITLE = {Recollements and tilting objects},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {215},
YEAR = {2011},
NUMBER = {4},
PAGES = {420--438},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16E35 (18E30 18E40)},
MRNUMBER = {2738361},
DOI = {10.1016/j.jpaa.2010.04.027},
URL = {http://dx.doi.org/10.1016/j.jpaa.2010.04.027},
}
@book {MR0341499,
AUTHOR = {Hirzebruch, F. and Neumann, W. D. and Koh, S. S.},
TITLE = {Differentiable manifolds and quadratic forms},
NOTE = {Appendix II by W. Scharlau,
Lecture Notes in Pure and Applied Mathematics, Vol. 4},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1971},
PAGES = {v+120},
MRCLASS = {57D20 (10C05)},
MRNUMBER = {MR0341499 (49 \#6250)},
MRREVIEWER = {A. Dold},
}
@book {MR2271293,
TITLE = {Primes and knots},
SERIES = {Contemporary Mathematics},
VOLUME = {416},
AUTHOR = {Kohno, Toshitake and Morishita, Masanori},
NOTE = {Papers from the conferences held in Baltimore, MD, January
15--16, 2003 and March 7--16, 2003},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2006},
PAGES = {viii+284},
ISBN = {978-0-8218-3456-5; 0-8218-3456-8},
MRCLASS = {57-06 (11-06)},
MRNUMBER = {MR2271293 (2007f:57003)},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@article {MR1858700,
AUTHOR = {Komiya, Katsuhiro},
TITLE = {Cutting, pasting and the doubles of manifolds with boundary},
JOURNAL = {Kyushu J. Math.},
FJOURNAL = {Kyushu Journal of Mathematics},
VOLUME = {55},
YEAR = {2001},
NUMBER = {2},
PAGES = {321--328},
ISSN = {1340-6116},
MRCLASS = {57R65 (57N15 57S17)},
MRNUMBER = {1858700 (2002h:57042)},
MRREVIEWER = {Mikiya Masuda},
DOI = {10.2206/kyushujm.55.321},
URL = {http://dx.doi.org/10.2206/kyushujm.55.321},
}
@article {MR1907070,
AUTHOR = {Konno, Tatsuo},
TITLE = {Unit tangent bundle over two-dimensional real projective
space},
JOURNAL = {Nihonkai Math. J.},
FJOURNAL = {Nihonkai Mathematical Journal},
VOLUME = {13},
YEAR = {2002},
NUMBER = {1},
PAGES = {57--66},
ISSN = {1341-9951},
MRCLASS = {53C25},
MRNUMBER = {1907070 (2003e:53053)},
MRREVIEWER = {Angela Farinola},
}
@book {MR2225848,
AUTHOR = {Kono, Akira and Tamaki, Dai},
TITLE = {Generalized cohomology},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {230},
NOTE = {Translated from the 2002 Japanese edition by Tamaki,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2006},
PAGES = {xii+254},
ISBN = {0-8218-3514-9},
MRCLASS = {55N20 (55T05)},
MRNUMBER = {2225848 (2007a:55007)},
MRREVIEWER = {Richard John Steiner},
}
@incollection {MR1852188,
AUTHOR = {Kontsevich, Maxim and Zagier, D.},
TITLE = {Periods},
BOOKTITLE = {Mathematics unlimited---2001 and beyond},
PAGES = {771--808},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2001},
MRCLASS = {11-02 (11F67 11G40 11G55)},
MRNUMBER = {MR1852188 (2002i:11002)},
MRREVIEWER = {F. Beukers},
}
@article {MR1923994,
AUTHOR = {Endo, H. and Korkmaz, M. and Kotschick, D. and Ozbagci, B. and
Stipsicz, A.},
TITLE = {Commutators, {L}efschetz fibrations and the signatures of
surface bundles},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {961--977},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R22 (57R20 57R25 57R55)},
MRNUMBER = {MR1923994 (2003f:57051)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1016/S0040-9383(01)00011-8},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00011-8},
}
@article {MR2302492,
AUTHOR = {Korzeniewski, Andrew},
TITLE = {Absolute {W}hitehead torsion},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {215--249},
ISSN = {1465-3060},
MRCLASS = {57Q10 (55U15 57R19 57R67)},
MRNUMBER = {2302492 (2008e:57025)},
MRREVIEWER = {Joan Porti},
DOI = {10.2140/gt.2007.11.215},
URL = {http://dx.doi.org/10.2140/gt.2007.11.215},
}
@article {MR2302493,
AUTHOR = {Hambleton, Ian and Korzeniewski, Andrew and Ranicki, Andrew},
TITLE = {The signature of a fibre bundle is multiplicative mod 4},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {251--314},
ISSN = {1465-3060},
MRCLASS = {55R10 (18G35 19B28 55U15 57Q10 57R19 57R67)},
MRNUMBER = {2302493 (2008c:55022)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.2140/gt.2007.11.251},
URL = {http://dx.doi.org/10.2140/gt.2007.11.251},
}
@article {korzenthesis,
AUTHOR = {Korzeniewski, Andrew},
TITLE = {On the signature of fibre bundles and absolute Whitehad torsion},
SERIES={Edinburgh University thesis},
YEAR={2005},
}
@article {MR0474289,
AUTHOR = {Koschorke, Ulrich and Sanderson, Brian},
TITLE = {Geometric interpretations of the generalized {H}opf invariant},
JOURNAL = {Math. Scand.},
VOLUME = {41},
YEAR = {1977},
NUMBER = {2},
PAGES = {199--217},
MRCLASS = {55E25},
MRNUMBER = {MR0474289 (57 \#13936)},
MRREVIEWER = {David Handel},
}
@article {MR508891,
AUTHOR = {Koschorke, Ulrich and Sanderson, Brian},
TITLE = {Self-intersections and higher {H}opf invariants},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {283--290},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {55Q25 (55P35 57R90)},
MRNUMBER = {MR508891 (81i:55014)},
}
@article {MR554526,
AUTHOR = {Koschorke, Ulrich},
TITLE = {Multiple points of immersions, and the {K}ahn-{P}riddy
theorem},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {169},
YEAR = {1979},
NUMBER = {3},
PAGES = {223--236},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57R42 (55Q45)},
MRNUMBER = {MR554526 (81a:57030)},
MRREVIEWER = {Peter J. Eccles},
}
@book {MR611333,
AUTHOR = {Koschorke, Ulrich},
TITLE = {Vector fields and other vector bundle morphisms---a
singularity approach},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {847},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
PAGES = {iv+304},
ISBN = {3-540-10572-7},
MRCLASS = {57R22 (57R25)},
MRNUMBER = {MR611333 (82i:57026)},
MRREVIEWER = {Daniel Chess},
}
@article {MR1339697,
AUTHOR = {Koshikawa, Hiroaki},
TITLE = {{$SK$} groups of manifolds with boundary},
JOURNAL = {Kyushu J. Math.},
FJOURNAL = {Kyushu Journal of Mathematics},
VOLUME = {49},
YEAR = {1995},
NUMBER = {1},
PAGES = {47--57},
ISSN = {1340-6116},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {1339697 (96e:57023)},
MRREVIEWER = {David C. Johnson},
DOI = {10.2206/kyushujm.49.47},
URL = {http://dx.doi.org/10.2206/kyushujm.49.47},
}
@article {MR0200937,
AUTHOR = {Bredon, Glen E. and Kosinski, A.},
TITLE = {Vector fields on {$\pi $}-manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {85--90},
ISSN = {0003-486X},
MRCLASS = {57.34},
MRNUMBER = {MR0200937 (34 \#823)},
MRREVIEWER = {J. F. Adams},
}
@book {MR1190010,
AUTHOR = {Kosinski, A.},
TITLE = {Differential manifolds},
SERIES = {Pure and Applied Mathematics},
VOLUME = {138},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Boston, MA},
YEAR = {1993},
PAGES = {xvi+248},
ISBN = {0-12-421850-4},
MRCLASS = {57-02},
MRNUMBER = {MR1190010 (95b:57001)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR0402782,
AUTHOR = {Kosniowski, Czes},
TITLE = {Equivariant stable homotopy and framed bordism},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {219},
YEAR = {1976},
PAGES = {225--234},
ISSN = {0002-9947},
MRCLASS = {57D85},
MRNUMBER = {MR0402782 (53 \#6596)},
MRREVIEWER = {Henning Hauschild},
}
@book {MR586943,
AUTHOR = {Kosniowski, Czes},
TITLE = {A first course in algebraic topology},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1980},
PAGES = {viii+269},
ISBN = {0-521-23195-7; 0-521-29864-4},
MRCLASS = {57-01 (55-01)},
MRNUMBER = {MR586943 (82c:57001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@book {MR2067778,
AUTHOR = {Gross, Paul W. and Kotiuga, P. Robert},
TITLE = {Electromagnetic theory and computation: a topological
approach},
SERIES = {Mathematical Sciences Research Institute Publications},
VOLUME = {48},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {x+278},
ISBN = {0-521-80160-5},
MRCLASS = {78-02 (57-02 78A30 78M10)},
MRNUMBER = {MR2067778 (2005d:78001)},
MRREVIEWER = {Jeffrey K. Lawson},
}
@article{kotiuga2001,
title = {Data structures for geometric and topological aspects of finite element algorithms},
journal = {Progress in Electromagnetic Research, PIER},
author = {P. Robert Kotiuga and P.W. Gross},
year = {2001},
volume={32},
pages={151--169},
}
@article{kotiuga_iron_2010,
title = {Iron Rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a Hidden Hand},
url = {http://arxiv.org/abs/1003.0152},
abstract = {The degree of Doctor of Sciences, honoris causa, was conferred on Raoul Bott by {McGill} University in 1987. Much of the work to make this happen was done by Carl Herz. Some of the author's personal recollections of both professors are included, along with some context for the awarding of this degree and ample historical tangents. Some cultural aspects occurring in the addresses are elaborated on, primarily, the Canadian engineer's iron ring. This paper also reprints both the convocation address of Raoul Bott and the presentation of Carl Herz on that occasion.},
journal = {1003.0152},
author = {P. Robert Kotiuga},
month = feb,
year = {2010},
keywords = {{01A65,} 55-03, Mathematics - Algebraic Topology, Mathematics - History and Overview},
}
@article {MR1923994,
AUTHOR = {Endo, H. and Korkmaz, M. and Kotschick, D. and Ozbagci, B. and
Stipsicz, A.},
TITLE = {Commutators, {L}efschetz fibrations and the signatures of
surface bundles},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {961--977},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R22 (57R20 57R25 57R55)},
MRNUMBER = {MR1923994 (2003f:57051)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1016/S0040-9383(01)00011-8},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00011-8},
}
@article {MR2262778,
AUTHOR = {Clerc, Jean-Louis and Koufany, Khalid},
TITLE = {Primitive du cocycle de {M}aslov g\'en\'eralis\'e},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {337},
YEAR = {2007},
NUMBER = {1},
PAGES = {91--138},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {53D12 (32M15 37J05)},
MRNUMBER = {MR2262778 (2007j:53091)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/s00208-006-0028-4},
URL = {http://dx.doi.org/10.1007/s00208-006-0028-4},
}
@book {MR2361455,
AUTHOR = {Kozlov, Dmitry},
TITLE = {Combinatorial algebraic topology},
SERIES = {Algorithms and Computation in Mathematics},
VOLUME = {21},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2008},
PAGES = {xx+389},
ISBN = {978-3-540-71961-8},
MRCLASS = {55-02 (05C15 05C25 06A07 52B70 55U10 57-02)},
MRNUMBER = {MR2361455 (2008j:55001)},
MRREVIEWER = {Rade {\v{Z}}ivaljevi{\'c}},
}
@article {MR1307955,
AUTHOR = {Connolly, Frank and Ko{\'z}niewski, Tadeusz},
TITLE = {{${\rm Nil}$} groups in {$K$}-theory and surgery theory},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {45--76},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19D35 (19J25 57R67)},
MRNUMBER = {MR1307955 (95j:19003)},
MRREVIEWER = {Oliver Attie},
}
@article {MR1713204,
AUTHOR = {Ko{\'z}niewski, Tadeusz},
TITLE = {Splitting obstructions and properties of objects in the {N}il
categories},
NOTE = {Algebraic topology (Kazimierz Dolny, 1997)},
JOURNAL = {Fund. Math.},
FJOURNAL = {Fundamenta Mathematicae},
VOLUME = {161},
YEAR = {1999},
NUMBER = {1-2},
PAGES = {155--165},
ISSN = {0016-2736},
MRCLASS = {19D35 (57R67 57R80)},
MRNUMBER = {MR1713204 (2000i:19005)},
}
@article {MR2015043,
AUTHOR = {Kramer, Linus},
TITLE = {Projective planes and their look-alikes},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {64},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--55},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57N15 (57N65 57Q25 57R55)},
MRNUMBER = {MR2015043 (2004g:57041)},
MRREVIEWER = {Laurence R. Taylor},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1090426887},
}
@article {kt,
AUTHOR = {Kramer, Linus and Tent, Katrin},
TITLE = {A Maslov cocycle for unitary groups},
JOURNAL = {Proc. Lond. Math. Soc.},
}
@article {MR1133299,
AUTHOR = {Krasnov, V. A.},
TITLE = {Homology classes defined by real points of a real algebraic
variety},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {55},
YEAR = {1991},
NUMBER = {2},
PAGES = {282--302},
ISSN = {0373-2436},
MRCLASS = {14P25 (14F45 57R91)},
MRNUMBER = {MR1133299 (93b:14088)},
MRREVIEWER = {V. M. Kharlamov},
}
@article {MR1137584,
AUTHOR = {Krasnov, V. A.},
TITLE = {Characteristic classes of vector bundles on a real algebraic
variety},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {55},
YEAR = {1991},
NUMBER = {4},
PAGES = {716--746},
ISSN = {0373-2436},
MRCLASS = {14P05 (57R20)},
MRNUMBER = {MR1137584 (93b:14084)},
}
@article {MR1252764,
AUTHOR = {Krasnov, V. A.},
TITLE = {Cohomology classes determined by real points of a real
algebraic {GM}-surface},
JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Izvestiya. Seriya
Matematicheskaya},
VOLUME = {57},
YEAR = {1993},
NUMBER = {5},
PAGES = {210--221},
ISSN = {0373-2436},
MRCLASS = {14P25},
MRNUMBER = {MR1252764 (95f:14103)},
MRREVIEWER = {N. V. Ivanov},
DOI = {10.1070/IM1994v043n02ABEH001571},
URL = {http://dx.doi.org/10.1070/IM1994v043n02ABEH001571},
}
@article {MR2183523,
AUTHOR = {Krause, Henning},
TITLE = {Cohomological quotients and smashing localizations},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {127},
YEAR = {2005},
NUMBER = {6},
PAGES = {1191--1246},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {18E30},
MRNUMBER = {2183523 (2007d:18018)},
MRREVIEWER = {Friedrich W. Bauer},
}
@incollection {MR2681709,
AUTHOR = {Krause, Henning},
TITLE = {Localization theory for triangulated categories},
BOOKTITLE = {Triangulated categories},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {375},
PAGES = {161--235},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {2010},
MRCLASS = {18E30},
MRNUMBER = {2681709},
}
@book{1106.16300,
author="Angeleri H{\"u}gel, Lidia (ed.) and Happel, Dieter (ed.) and Krause,
Henning (ed.)",
title="{Handbook of tilting theory.}",
language="English",
publisher="{London Mathematical Society Lecture Note Series 332. Cambridge:
Cambridge University Press. viii, 472~p. \sterling~43.00; \$~80.00 }",
year="2007",
abstract="{The articles of this volume will be reviewed individually.}",
classmath="{*16-06 (Proceedings of conferences (assoc. rings and algebras))
00B15 (Collections of articles of miscellaneous specific interest)
}",
}
@book {MR0362360,
AUTHOR = {Karras, U. and Kreck, Matthias and Neumann, W. D. and Ossa, E.},
TITLE = {Cutting and pasting of manifolds; {${\rm SK}$}-groups},
NOTE = {Mathematics Lecture Series, No. 1},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1973},
PAGES = {vii+70},
MRCLASS = {57D80 (57D25 57D90)},
MRNUMBER = {0362360 (50 \#14802)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR0380839,
AUTHOR = {Kreck, Matthias},
TITLE = {Eine {I}nvariante f\"ur stabil parallelisierte
{M}annigfaltigkeiten},
JOURNAL = {Bonn. Math. Schr.},
FJOURNAL = {Bonner Mathematische Schriften},
NUMBER = {66},
YEAR = {1972},
PAGES = {v+56},
ISSN = {0524-045x},
MRCLASS = {57D90},
MRNUMBER = {MR0380839 (52 \#1736)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR1709301,
AUTHOR = {Kreck, Matthias},
TITLE = {Surgery and duality},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {149},
YEAR = {1999},
NUMBER = {3},
PAGES = {707--754},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57R67 (57R65)},
MRNUMBER = {MR1709301 (2001a:57051)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR1905836,
AUTHOR = {Leichtnam, Eric and L{\"u}ck, Wolfgang and Kreck, Matthias},
TITLE = {On the cut-and-paste property of higher signatures of a closed
oriented manifold},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {4},
PAGES = {725--744},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R20 (19K56 57R67)},
MRNUMBER = {MR1905836 (2003e:57045)},
MRREVIEWER = {John G. Miller},
}
@article {MR2536790,
AUTHOR = {Hirzebruch, F. and Kreck, Matthias},
TITLE = {On the concept of genus in topology and complex analysis},
JOURNAL = {Notices Amer. Math. Soc.},
FJOURNAL = {Notices of the American Mathematical Society},
VOLUME = {56},
YEAR = {2009},
NUMBER = {6},
PAGES = {713--719},
ISSN = {0002-9920},
CODEN = {AMNOAN},
MRCLASS = {57M50 (32-01)},
MRNUMBER = {2536790 (2010h:57030)},
}
@book {MR2641092,
AUTHOR = {Kreck, Matthias},
TITLE = {Differential algebraic topology},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {110},
NOTE = {From stratifolds to exotic spheres},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2010},
PAGES = {xii+218},
ISBN = {978-0-8218-4898-2},
MRCLASS = {57R55 (55R40 57R20)},
MRNUMBER = {2641092},
}
@article {MR743942,
AUTHOR = {Kreck, Matthias and Schafer, J. A.},
TITLE = {Classification and stable classification of manifolds: some
examples},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {59},
YEAR = {1984},
NUMBER = {1},
PAGES = {12--38},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R65},
MRNUMBER = {MR743942 (85j:57052)},
MRREVIEWER = {Laurence R. Taylor},
}
@book {MR755877,
AUTHOR = {Kreck, Matthias},
TITLE = {Bordism of diffeomorphisms and related topics},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1069},
NOTE = {With an appendix by Neal W. Stoltzfus},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {iii+144},
ISBN = {3-540-13362-3},
MRCLASS = {57R50 (11E81 18F25 19G24 57R65)},
MRNUMBER = {MR755877 (86b:57015)},
MRREVIEWER = {W. D. Neumann},
}
@paper{kr,
AUTHOR = {Kreck, Matthias},
TITLE = {An extension of results of Browder, Novikov and Wall
about surgery on compact manifolds},
YEAR = {1985},
}
@article{math.GT/0509238,
title = {{Topological rigidity for non-aspherical manifolds}},
author = {Matthias Kreck and Wolfgang L{\"u}ck},
eprint = {arXiv:math.GT/0509238},
}
@book{nov,
AUTHOR = {Kreck, Matthias and L{\"u}ck, Wolfgang},
TITLE = {The Novikov conjecture. Geometry and algebra},
SERIES = {Oberwolfach Seminars 33},
PUBLISHER = {Birkh\"auser Basel},
YEAR = {2004},
}
@article {MR0113114,
AUTHOR = {Gohberg, I. C. and Kre{\u\i}n, M. G.},
TITLE = {Systems of integral equations on a half line with kernels
depending on the difference of arguments},
JOURNAL = {Amer. Math. Soc. Transl. (2)},
FJOURNAL = {American Mathematical Society Translations},
VOLUME = {14},
YEAR = {1960},
PAGES = {217--287},
ISSN = {0065-9290},
MRCLASS = {45.00},
MRNUMBER = {0113114 (22 \#3954)},
}
@article {MR638124,
AUTHOR = {Kre{\u\i}n, M. G. and Na{\u\i}mark, M. A.},
TITLE = {The method of symmetric and {H}ermitian forms in the theory of
the separation of the roots of algebraic equations},
NOTE = {Translated from the Russian by O. Boshko and J. L. Howland},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {10},
YEAR = {1981},
NUMBER = {4},
PAGES = {265--308},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {12D10 (12-02 12E12 15A63)},
MRNUMBER = {MR638124 (84i:12016)},
}
@article {MR2005123,
AUTHOR = {Garoufalidis, Stavros and Kricker, Andrew},
TITLE = {A surgery view of boundary links},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {327},
YEAR = {2003},
NUMBER = {1},
PAGES = {103--115},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N10 (57M25)},
MRNUMBER = {MR2005123 (2004i:57025)},
MRREVIEWER = {Koya Shimokawa},
}
@article {MR2033481,
AUTHOR = {Garoufalidis, Stavros and Kricker, Andrew},
TITLE = {A rational noncommutative invariant of boundary links},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {8},
YEAR = {2004},
PAGES = {115--204 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57M27 (57M25 57N10)},
MRNUMBER = {MR2033481 (2005e:57039)},
MRREVIEWER = {Ruth Lawrence},
}
@article {KRO,
AUTHOR = {Kro, Tore},
TITLE = {Geometrically defined group structures in 3-dimensional sugery
theory},
}
@article {MR1633375,
AUTHOR = {Heusener, Michael and Kroll, Jochen},
TITLE = {Deforming abelian {${\rm SU}(2)$}-representations of knot
groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {73},
YEAR = {1998},
NUMBER = {3},
PAGES = {480--498},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25},
MRNUMBER = {MR1633375 (99g:57008)},
MRREVIEWER = {Darren D. Long},
DOI = {10.1007/s000140050065},
URL = {http://dx.doi.org/10.1007/s000140050065},
}
@book {MR2388043,
AUTHOR = {Kronheimer, Peter and Mrowka, Tomasz},
TITLE = {Monopoles and three-manifolds},
SERIES = {New Mathematical Monographs},
VOLUME = {10},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2007},
PAGES = {xii+796},
ISBN = {978-0-521-88022-0},
MRCLASS = {57R57 (53C27 57N10 57R57 57R58)},
MRNUMBER = {2388043 (2009f:57049)},
MRREVIEWER = {Vicente Mu{\~n}oz},
DOI = {10.1017/CBO9780511543111},
URL = {http://dx.doi.org/10.1017/CBO9780511543111},
}
@article{math.GR/0401312,
title = {{Groups of small homological dimension and the Atiyah
Conjecture}},
author = {Peter Kropholler and Peter Linnell and Wolfgang L{\"u}ck},
}
@article{math.GT/9705222,
title = {{Alexander duality, gropes and link homotopy}},
author = {Vyacheslav S. Krushkal and Peter Teichner},
journal = {Geom. Topol.},
volume = 1,
year = 1997,
pages = {51--69},
}
@article {MR2118964,
AUTHOR = {Kauffman, Louis and Krylov, Nikolai A.},
TITLE = {Kernel of the variation operator and periodicity of open
books},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {148},
YEAR = {2005},
NUMBER = {1-3},
PAGES = {183--200},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N15 (57N37)},
MRNUMBER = {MR2118964},
}
@article{kuehl_total_2011,
title = {The total surgery obstruction revisited},
url = {http://arxiv.org/abs/1104.5092},
abstract = {The total surgery obstruction of a finite
n-dimensional Poincare complex X is an element {s(X)} of a
certain abelian group S\_n {(X)} with the property that for n
{\textgreater}= 5 we have {s(X)} = 0 if and only if X is
homotopy equivalent to a closed n-dimensional topological
manifold. The definitions of S\_n {(X)} and {s(X)} and the
property are due to Ranicki in a combination of results of two
books and several papers. In this paper we present these
definitions and a detailed proof of the main result so that
they are in one place and we also add some of the details not
explicitly written down in the original sources.},
journal = {{arXiv:1104.5092}},
author = {Kuehl, Philipp and Macko, Tibor and Mole, Adam},
month = apr,
year = {2011},
keywords = {{57R67}, {(57P10)}, Mathematics - Algebraic
Topology, Mathematics - Geometric Topology},
}
@article {MR0156356,
AUTHOR = {Eells, James and Kuiper, H., Nicolaas},
TITLE = {An invariant for certain smooth manifolds},
JOURNAL = {Ann. Mat. Pura Appl. (4)},
FJOURNAL = {Annali di Matematica Pura ed Applicata. Serie Quarta},
VOLUME = {60},
YEAR = {1962},
PAGES = {93--110},
ISSN = {0003-4622},
MRCLASS = {57.32 (57.10)},
MRNUMBER = {0156356 (27 \#6280)},
MRREVIEWER = {R. H. Szczarba},
}
@book {MR1670862,
AUTHOR = {Kuipers, Jack B.},
TITLE = {Quaternions and rotation sequences},
NOTE = {A primer with applications to orbits, aerospace, and virtual
reality},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1999},
PAGES = {xxii+572},
ISBN = {0-691-05872-5},
MRCLASS = {70B10 (70E15 70M20 70Q05)},
MRNUMBER = {MR1670862 (2000c:70003)},
MRREVIEWER = {Gennady Victorovich Gorr},
}
@article {MR1974565,
AUTHOR = {Kuku, Aderemi and Tang, Guoping},
TITLE = {Higher {$K$}-theory of group-rings of virtually infinite
cyclic groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {325},
YEAR = {2003},
NUMBER = {4},
PAGES = {711--726},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {19D35 (16H05 16S35)},
MRNUMBER = {MR1974565 (2004a:19001)},
MRREVIEWER = {Barry H. Dayton},
}
@book {MR2259035,
AUTHOR = {Kuku, Aderemi},
TITLE = {Representation theory and higher algebraic {$K$}-theory},
SERIES = {Pure and Applied Mathematics (Boca Raton)},
VOLUME = {287},
PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL},
YEAR = {2007},
PAGES = {xxviii+442},
ISBN = {978-1-58488-603-7; 1-58488-603-X},
MRCLASS = {19-02 (11R65 16G30 19D50 20C05)},
MRNUMBER = {MR2259035 (2007k:19001)},
MRREVIEWER = {Jonathan M. Rosenberg},
}
@incollection {MR1602375,
AUTHOR = {Kulikov, V. S. and Kurchanov, P. F.},
TITLE = {Complex algebraic varieties: periods of integrals and {H}odge
structures [ {MR}1060327 (91k:14010)]},
BOOKTITLE = {Algebraic geometry, {III}},
SERIES = {Encyclopaedia Math. Sci.},
VOLUME = {36},
PAGES = {1--217, 263--270},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1998},
MRCLASS = {14C30 (14D07 32G20 32J25)},
MRNUMBER = {1602375},
}
@book {MR1621831,
AUTHOR = {Kulikov, V. S.},
TITLE = {Mixed {H}odge structures and singularities},
SERIES = {Cambridge Tracts in Mathematics},
VOLUME = {132},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1998},
PAGES = {xxii+186},
ISBN = {0-521-62060-0},
MRCLASS = {14D07 (14C30 32J25 32S35)},
MRNUMBER = {1621831 (99d:14009)},
MRREVIEWER = {Gerhard Pfister},
}
@article {MR2443768,
AUTHOR = {Kuno, Yusuke},
TITLE = {The mapping class group and the {M}eyer function for plane
curves},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {342},
YEAR = {2008},
NUMBER = {4},
PAGES = {923--949},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N13 (14D05)},
MRNUMBER = {MR2443768 (2010a:57040)},
MRREVIEWER = {Mustafa Korkmaz},
DOI = {10.1007/s00208-008-0261-0},
URL = {http://dx.doi.org/10.1007/s00208-008-0261-0},
}
@article{kuno_meyer_2009,
title = {The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds},
url = {http://arxiv.org/abs/0911.4607},
abstract = {We study a secondary invariant, called the Meyer function, on the fundamental group of the complement of the dual variety of a smooth projective variety. This invariant have played an important role when studying the local signatures of fibered 4-manifolds from topological point of view. As an application of our study, we define a local signature for generic non-hyperelliptic fibrations of genus 4 and 5 and compute some examples.},
journal = {0911.4607},
author = {Yusuke Kuno},
month = nov,
year = {2009},
keywords = {{57N13,} {14D05,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article{kuno_meyer_2012,
title = {Meyer functions and the signatures of fibered 4-manifolds},
url = {http://arxiv.org/abs/1204.1701},
abstract = {We give a survey on Meyer functions, with emphasis on their application to the signatures of fibered 4-manifolds.},
journal = {{arXiv:1204.1701}},
author = {Kuno, Yusuke},
month = apr,
year = {2012},
keywords = {{14D05}, {20F34}, {32G15}, {57N13}, Mathematics - Geometric Topology},
}
@article {MR2438998,
AUTHOR = {Kuperberg, Greg},
TITLE = {From the {M}ahler conjecture to {G}auss linking integrals},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
VOLUME = {18},
YEAR = {2008},
NUMBER = {3},
PAGES = {870--892},
ISSN = {1016-443X},
CODEN = {GFANFB},
MRCLASS = {52A38 (46B07)},
MRNUMBER = {2438998 (2009i:52005)},
MRREVIEWER = {Semyon Alesker},
DOI = {10.1007/s00039-008-0669-4},
URL = {http://dx.doi.org/10.1007/s00039-008-0669-4},
}
@incollection {MR1602375,
AUTHOR = {Kulikov, V. S. and Kurchanov, P. F.},
TITLE = {Complex algebraic varieties: periods of integrals and {H}odge
structures [ {MR}1060327 (91k:14010)]},
BOOKTITLE = {Algebraic geometry, {III}},
SERIES = {Encyclopaedia Math. Sci.},
VOLUME = {36},
PAGES = {1--217, 263--270},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1998},
MRCLASS = {14C30 (14D07 32G20 32J25)},
MRNUMBER = {1602375},
}
@article {MR1016421,
AUTHOR = {Kwasik, Slawomir and Schultz, Reinhard},
TITLE = {Homological properties of periodic homeomorphisms of
{$4$}-manifolds},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {58},
YEAR = {1989},
NUMBER = {1},
PAGES = {241--250},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57S17},
MRNUMBER = {MR1016421 (91d:57023)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR1981359,
AUTHOR = {Jahren, Bj{\o}rn and Kwasik, Slawomir},
TITLE = {Three-dimensional surgery theory, {UN}il-groups and the
{B}orel conjecture},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {42},
YEAR = {2003},
NUMBER = {6},
PAGES = {1353--1369},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R65 (57N10 57R67)},
MRNUMBER = {MR1981359 (2004j:57043)},
MRREVIEWER = {Ian Hambleton},
}
@article {MRJK,
AUTHOR = {Jahren, Bj{\o}rn and Kwasik, Slawomir},
TITLE = {Manifolds homotopy equivalent to RP^4#RP^4},
}
@article{kwasik_tangential_2011,
title = {Tangential thickness of manifolds},
url = {http://arxiv.org/abs/1104.4136},
abstract = {Given two compact n-dimensional manifolds in the smooth, piecewise linear or topological categories, basic results of B. Mazur and others give simple criteria for determining whether their products with Euclidean spaces of sufficiently large dimension are isomorphic in the given category. This paper studies such questions when the dimensions of the Euclidean space do not satisfy such a condition, mainly for topological manifolds homotopy equivalent to lens spaces with odd prime order fundamental groups. In particular, complete information is obtained for homotopy lens spaces in most dimensions when the Euclidean space is even dimensional. The proofs use basic techniques from surgery theory and a variety of results from homotopy theory, including results of Cohen, Moore and Neisendorfer related to finite exponents of certain unstable homotopy groups.},
journal = {1104.4136},
author = {Kwasik, Slawomir and Schultz, Reinhard},
month = apr,
year = {2011},
keywords = {Mathematics - Geometric Topology},
}
@article {MR869712,
AUTHOR = {Kwasik, S{\l}awomir},
TITLE = {On periodicity in topological surgery},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {38},
YEAR = {1986},
NUMBER = {5},
PAGES = {1053--1064},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57N15 (57R65 57R67)},
MRNUMBER = {869712 (88c:57015)},
MRREVIEWER = {Christopher W. Stark},
DOI = {10.4153/CJM-1986-051-6},
URL = {http://dx.doi.org/10.4153/CJM-1986-051-6},
}
@article {MR0182972,
AUTHOR = {Kwun, Kyung Whan and Szczarba, R. H.},
TITLE = {Product and sum theorems for {W}hitehead torsion},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {82},
YEAR = {1965},
PAGES = {183--190},
ISSN = {0003-486X},
MRCLASS = {55.40 (18.20)},
MRNUMBER = {MR0182972 (32 \#454)},
MRREVIEWER = {D. B. A. Epstein},
}
@article {MR0062438,
AUTHOR = {Kyle, R. H.},
TITLE = {Branched covering spaces and the quadratic forms of links},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {59},
YEAR = {1954},
PAGES = {539--548},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0062438 (15,979a)},
MRREVIEWER = {R. Bott},
}
@article {MR0107240,
AUTHOR = {Kyle, R. H.},
TITLE = {Branched covering spaces and the quadratic forms of links.
{II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {69},
YEAR = {1959},
PAGES = {686--699},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0107240 (21 \#5965)},
MRREVIEWER = {S. S. Cairns},
}
@article {MR0244963,
AUTHOR = {Lacher, R. C.},
TITLE = {Cell-like mappings of {${\rm ANR}'s$}},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {74},
YEAR = {1968},
PAGES = {933--935},
ISSN = {0002-9904},
MRCLASS = {54.60},
MRNUMBER = {MR0244963 (39 \#6276)},
MRREVIEWER = {G. Kozlowski},
}
@article {MR0251714,
AUTHOR = {Lacher, R. C.},
TITLE = {Cell-like mappings. {I}},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {30},
YEAR = {1969},
PAGES = {717--731},
ISSN = {0030-8730},
MRCLASS = {55.25 (54.00)},
MRNUMBER = {MR0251714 (40 \#4941)},
MRREVIEWER = {D. R. McMillan, Jr.},
}
@article {MR0645403,
AUTHOR = {Lacher, R. C.},
TITLE = {Cell-like mappings and their generalizations},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {83},
YEAR = {1977},
NUMBER = {4},
PAGES = {495--552},
MRCLASS = {57A60 (57A15 57A45)},
MRNUMBER = {MR0645403 (58 \#31095)},
MRREVIEWER = {John Bryant},
}
@article {MR1399550,
AUTHOR = {Lackenby, M.},
TITLE = {The {W}hitney trick},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {71},
YEAR = {1996},
NUMBER = {2},
PAGES = {115--118},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N13 (57N12 57N37 57N70 57Q20)},
MRNUMBER = {MR1399550 (97d:57022)},
MRREVIEWER = {R. J. Daverman},
}
@book {MR0436146,
AUTHOR = {Cohen, F. R. and Lada, Thomas J. and May, J. Peter},
TITLE = {The homology of iterated loop spaces},
SERIES = {Lecture Notes in Mathematics, Vol. 533},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1976},
PAGES = {vii+490},
MRCLASS = {55G25 (55D35)},
MRNUMBER = {0436146 (55 \#9096)},
MRREVIEWER = {Peter J. Eccles},
}
@article{davis_aspherical_2013,
title = {Aspherical manifolds that cannot be triangulated},
url = {http://arxiv.org/abs/1304.3730},
abstract = {Although Kirby and Siebenmann showed that there
are manifolds that do not admit {PL} structures, the
possibility remained that all manifolds could be triangulated.
In the late seventies Galewski and Stern and independently
Matumoto showed that non-triangulable manifolds exist in all
dimensions {\textgreater} 4 if and only if homology 3-spheres
with certain properties do not exist. In 2013 Manolescu showed
that, indeed, there were no such homology 3-spheres and hence,
non-triangulable manifolds exist in each dimension
{\textgreater}4. It follows from work of Freedman in 1982 that
there are 4-manifolds that cannot be triangulated. In 1991
Davis and Januszkiewicz applied a hyperbolization procedure to
Freedman's 4-manifolds to get closed aspherical 4-manifolds
that cannot be triangulated. In this paper we apply
hyperbolization techniques to the Galewski-Stern manifolds to
show that there exist closed aspherical n-manifolds that cannot
be triangulated for each n{\textgreater} 5. The question
remains open in dimension 5.},
urldate = {2013-04-16},
journal = {{arXiv:1304.3730}},
author = {Davis, Michael W. and Fowler, Jim and Lafont,
J.-F.},
month = apr,
year = {2013},
keywords ="{57Q15}, {57Q25}, {20F65} (Primary), {57R58
}
@article {lafoortiz,
AUTHOR = {Lafont, J.-F. and Ortiz, I.J.},
TITLE = {Relating the Farrell Nil-groups to the Waldhausen Nil-groups},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {20},
YEAR = {2008},
NUMBER = {3},
PAGES = {445--455},
}
@article {MR1366538,
AUTHOR = {Laitinen, Erkki},
TITLE = {End homology and duality},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {8},
YEAR = {1996},
NUMBER = {1},
PAGES = {121--133},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {55N35 (55M05)},
MRNUMBER = {MR1366538 (97b:55006)},
MRREVIEWER = {Donald W. Kahn},
}
@incollection {MR1429901,
AUTHOR = {Lalonde, Fran{\c{c}}ois and McDuff, Dusa},
TITLE = {Positive paths in the linear symplectic group},
BOOKTITLE = {The {A}rnold-{G}elfand mathematical seminars},
PAGES = {361--387},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1997},
MRCLASS = {58F05 (58F19)},
MRNUMBER = {MR1429901 (97m:58077)},
MRREVIEWER = {Karl Friedrich Siburg},
}
@book {MR1653294,
AUTHOR = {Lam, T. Y.},
TITLE = {Lectures on modules and rings},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {189},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1999},
PAGES = {xxiv+557},
ISBN = {0-387-98428-3},
MRCLASS = {16-01},
MRNUMBER = {1653294 (99i:16001)},
MRREVIEWER = {Jonathan Golan},
}
@book {MR1838439,
AUTHOR = {Lam, T. Y.},
TITLE = {A first course in noncommutative rings},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {131},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2001},
PAGES = {xx+385},
ISBN = {0-387-95183-0},
MRCLASS = {16-01},
MRNUMBER = {1838439 (2002c:16001)},
}
@book {MR2278849,
AUTHOR = {Lam, T. Y.},
TITLE = {Exercises in modules and rings},
SERIES = {Problem Books in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2007},
PAGES = {xviii+412},
ISBN = {978-0-387-98850-4; 0-387-98850-5},
MRCLASS = {16-01},
MRNUMBER = {2278849 (2007h:16001)},
MRREVIEWER = {Jonathan Golan},
DOI = {10.1007/978-0-387-48899-8},
URL = {http://dx.doi.org/10.1007/978-0-387-48899-8},
}
@article{lambrechts_poincare_2007,
title = {Poincare duality and commutative differential graded algebras},
url = {http://arxiv.org/abs/math/0701309},
abstract = {We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincare duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincare duality in the same dimension. This has application in particular to the study of {CDGA} models of configuration spaces on a closed manifold.},
journal = {math/0701309},
author = {Lambrechts, Pascal and Stanley, Don},
month = jan,
year = {2007},
keywords = {{55M05}, {55P62}, {57P10}, Mathematics - Algebraic Topology},
}
@book {MR0245005,
AUTHOR = {Lamotke, Klaus},
TITLE = {Semisimpliziale algebraische {T}opologie},
SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 147},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1968},
PAGES = {viii+285},
MRCLASS = {55.40},
MRNUMBER = {0245005 (39 \#6318)},
MRREVIEWER = {R. Fritsch},
}
@article {MR0390278,
AUTHOR = {Lamotke, Klaus},
TITLE = {Die {H}omologie isolierter {S}ingularit\"aten},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {143},
YEAR = {1975},
PAGES = {27--44},
ISSN = {0025-5874},
MRCLASS = {32C40 (14B05 14D05)},
MRNUMBER = {0390278 (52 \#11104)},
MRREVIEWER = {Alan H. Durfee},
}
@article {latex,
AUTHOR = {Lamport, Leslie},
TITLE = {Latex book},
}
@paper{landherr,
author="Landherr, Walther",
title="{\"Aquivalenz Hermitescher Formen \"uber einem beliebigen algebraischen
Zahlk\"orper.}",
language="German",
journal="Abh. Math. Semin. Hamb. Univ. ",
volume="11",
pages="245-248",
year="1936",
doi={10.1007/BF02940728},
keywords="{Number theory}",
}
@book {MR1878556,
AUTHOR = {Lang, Serge},
TITLE = {Algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {211},
EDITION = {third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2002},
PAGES = {xvi+914},
ISBN = {0-387-95385-X},
MRCLASS = {00A05 (15-02)},
MRNUMBER = {MR1878556 (2003e:00003)},
}
@book {MR1931083,
AUTHOR = {Lang, Serge},
TITLE = {Introduction to differentiable manifolds},
SERIES = {Universitext},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2002},
PAGES = {xii+250},
ISBN = {0-387-95477-5},
MRCLASS = {58-01},
MRNUMBER = {1931083 (2003h:58002)},
}
@article {MR0377939,
AUTHOR = {Barge, Jean and Lannes, Jean and Latour, Fran{\c{c}}ois and
Vogel, Pierre},
TITLE = {{$\Lambda $}-sph\`eres},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {463--505 (1975)},
ISSN = {0012-9593},
MRCLASS = {57D80},
MRNUMBER = {MR0377939 (51 \#14108)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@book {MR0397747,
AUTHOR = {Lannes, Jean and Latour, Fran{\c{c}}ois},
TITLE = {Forme quadratique d'enlacement et applications},
NOTE = {Avec un r{\'e}sum{\'e} en anglais,
Ast{\'e}risque No. 26},
PUBLISHER = {Soci\'et\'e Math\'ematique de France},
ADDRESS = {Paris},
YEAR = {1975},
PAGES = {89},
MRCLASS = {57D15},
MRNUMBER = {0397747 (53 \#1605)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0412102,
AUTHOR = {Lannes, Jean},
TITLE = {Formes quadratiques d'enlacement sur l'anneau des entiers d'un
corps de nombres},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {8},
YEAR = {1975},
NUMBER = {4},
PAGES = {535--579},
ISSN = {0012-9593},
MRCLASS = {10C05 (57C45 15A63)},
MRNUMBER = {MR0412102 (54 \#231)},
MRREVIEWER = {J. P. Levine},
}
@book {MR2431916,
AUTHOR = {Barge, Jean and Lannes, Jean},
TITLE = {Suites de {S}turm, indice de {M}aslov et p\'eriodicit\'e de
{B}ott},
SERIES = {Progress in Mathematics},
VOLUME = {267},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2008},
PAGES = {viii+199},
ISBN = {978-3-7643-8709-9},
MRCLASS = {53Dxx (19G38 55R45 57R17 57R20)},
MRNUMBER = {MR2431916},
}
@article {MR631749,
AUTHOR = {Lannes, Jean},
TITLE = {Sur l'invariant de {K}ervaire des vari\'et\'es ferm\'ees
stablement parall\'elis\'ees},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {14},
YEAR = {1981},
NUMBER = {2},
PAGES = {183--197},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {55Q45},
MRNUMBER = {MR631749 (82j:55019)},
MRREVIEWER = {R. E. Stong},
}
@article {MR800002,
AUTHOR = {Lannes, Jean},
TITLE = {Sur l'invariant de {K}ervaire des n\oe uds classiques},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {60},
YEAR = {1985},
NUMBER = {2},
PAGES = {179--192},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25},
MRNUMBER = {MR800002 (87b:57009)},
MRREVIEWER = {J. P. Levine},
}
@article {Poincaregeometry,
AUTHOR = {Morlet, C. and Latour, Francois and Lannes, Jean},
TITLE = {Geometrie des complexes de Poincare},
}
@article {MR1355458,
AUTHOR = {Lapin, S. V.},
TITLE = {Bordism groups of {P}oincar\'e {$E\sb \infty$}-coalgebras, and
symmetric {$L$}-groups},
JOURNAL = {Mat. Sb.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Matematicheski\u\i\ Sbornik},
VOLUME = {186},
YEAR = {1995},
NUMBER = {7},
PAGES = {97--132},
ISSN = {0368-8666},
MRCLASS = {55U99 (18G35 57P10 57R67 57R75)},
MRNUMBER = {MR1355458 (96g:55027)},
MRREVIEWER = {Yuli B. Rudyak},
}
@article {MR0101521,
AUTHOR = {Dold, Albrecht and Lashof, R. K.},
TITLE = {Principal quasi-fibrations and fibre homotopy equivalence of
bundles. },
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {3},
YEAR = {1959},
PAGES = {285--305},
ISSN = {0019-2082},
MRCLASS = {55.00},
MRNUMBER = {0101521 (21 \#331)},
MRREVIEWER = {Sze-tsen Hu},
}
@article {MR0101522,
AUTHOR = {Lashof, R. K. and Smale, S.},
TITLE = {Self-intersections of immersed manifolds},
JOURNAL = {J. Math. Mech.},
VOLUME = {8},
YEAR = {1959},
PAGES = {143--157},
MRCLASS = {55.00},
MRNUMBER = {MR0101522 (21 \#332)},
MRREVIEWER = {R. Deheuvels},
}
@article {MR0103478,
AUTHOR = {Lashof, R. K. and Smale, S.},
TITLE = {On the immersion of manifolds in euclidean space},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {562--583},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0103478 (21 \#2246)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0141112,
AUTHOR = {Dyer, Eldon and Lashof, R. K.},
TITLE = {Homology of iterated loop spaces},
JOURNAL = {Amer. J. Math.},
VOLUME = {84},
YEAR = {1962},
PAGES = {35--88},
MRCLASS = {55.30 (55.40)},
MRNUMBER = {MR0141112 (25 \#4523)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0156357,
AUTHOR = {Lashof, R. K.},
TITLE = {Poincar\'e duality and cobordism},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {109},
YEAR = {1963},
PAGES = {257--277},
ISSN = {0002-9947},
MRCLASS = {57.10},
MRNUMBER = {MR0156357 (27 \#6281)},
MRREVIEWER = {J. F. Adams},
}
@article {Poincaregeometry,
AUTHOR = {Morlet, C. and Latour, Francois and Lannes, Jean},
TITLE = {Geometrie des complexes de Poincare},
}
@article {MR0377939,
AUTHOR = {Barge, Jean and Lannes, Jean and Latour, Fran{\c{c}}ois and
Vogel, Pierre},
TITLE = {{$\Lambda $}-sph\`eres},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {463--505 (1975)},
ISSN = {0012-9593},
MRCLASS = {57D80},
MRNUMBER = {MR0377939 (51 \#14108)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@book {MR0397747,
AUTHOR = {Lannes, Jean and Latour, Fran{\c{c}}ois},
TITLE = {Forme quadratique d'enlacement et applications},
NOTE = {Avec un r{\'e}sum{\'e} en anglais,
Ast{\'e}risque No. 26},
PUBLISHER = {Soci\'et\'e Math\'ematique de France},
ADDRESS = {Paris},
YEAR = {1975},
PAGES = {89},
MRCLASS = {57D15},
MRNUMBER = {0397747 (53 \#1605)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR0415639,
AUTHOR = {Latour, Fran{\c{c}}ois},
TITLE = {Chirurgie non simplement connexe. (d'apr\`es {C}. {T}. {C}.
{W}all)},
BOOKTITLE = {S\'eminaire {B}ourbaki, 23\`eme ann\'ee (1970/1971), {E}xp.
{N}o. 397},
PAGES = {289--322. Lecture Notes in Math., Vol. 244},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57D65},
MRNUMBER = {MR0415639 (54 \#3720)},
MRREVIEWER = {Allen E. Hatcher},
}
@article {MR0478172,
AUTHOR = {Latour, Fran{\c{c}}ois},
TITLE = {Vari\'et\'es g\'eom\'etriques et r\'esolutions {I}. {C}lasses
caract\'eristiques},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {10},
YEAR = {1977},
NUMBER = {1},
PAGES = {1--72},
ISSN = {0012-9593},
MRCLASS = {57D20 (57D45)},
MRNUMBER = {MR0478172 (57 \#17661)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR1088270,
AUTHOR = {Latour, Fran{\c{c}}ois},
TITLE = {Transversales lagrangiennes, p\'eriodicit\'e de {B}ott et
formes g\'en\'eratrices pour une immersion lagrangienne dans
un cotangent},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {24},
YEAR = {1991},
NUMBER = {1},
PAGES = {3--55},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {58F05 (55R50 57R22)},
MRNUMBER = {MR1088270 (91k:58039)},
MRREVIEWER = {I. Vaisman},
}
@article {MR1320607,
AUTHOR = {Latour, Fran{\c{c}}ois},
TITLE = {Existence de {$1$}-formes ferm\'ees non singuli\`eres dans une
classe de cohomologie de de {R}ham},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {80},
YEAR = {1994},
PAGES = {135--194 (1995)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {57R45 (20F34 57Q10 57R67 57R70 57R80)},
MRNUMBER = {MR1320607 (96f:57030)},
MRREVIEWER = {Jean-Claude Sikorav},
}
@article{laudenbach_morse_2010,
title = {A Morse complex on manifolds with boundary},
url = {http://arxiv.org/abs/1003.5077},
abstract = {Given a compact smooth manifold {\$M\$} with non-empty boundary and a Morse function, a pseudo-gradient {Morse-Smale} vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the boundary) homology of {\$M\$} with integer coefficients. Our approach simplifies other methods which have been discussed in more specific geometric settings.},
journal = {1003.5077},
author = {Laudenbach, Francois},
month = mar,
year = {2010},
keywords = {Mathematics - Geometric Topology},
}
@article{baaslaures,
AUTHOR= {Laures, G. and Baas, N.},
TITLE = {Singularities and Quinn spectra},
YEAR = {2013},
}
@article{laures_commutativity_2013,
title = {Commutativity properties of Quinn spectra},
url = {http://arxiv.org/abs/1304.4759},
abstract = {We give a simple sufficient condition for Quinn's "bordism-type" spectra to be weakly equivalent to commutative symmetric ring spectra. We also show that the symmetric signature is (up to weak equivalence) a monoidal transformation between symmetric monoidal functors, which implies that the Sullivan-Ranicki orientation of topological bundles is represented by a ring map between commutative symmetric ring spectra. In the course of proving these statements we give a new description of symmetric L theory which may be of independent interest.},
urldate = {2013-05-11},
journal = {{arXiv:1304.4759}},
author = {Laures, Gerd and McClure, James E.},
month = apr,
year = {2013},
keywords = {{55P43}, {57R67}, {57P10}, Mathematics - Algebraic Topology},
}
@article{math.AT/09072367,
title = {Multiplicative properties of Quinn spectra},
author = {Gerd Laures and James McClure},
eprint = {arXiv:math.AT/0907.2367},
}
@article {Lawrence,
AUTHOR = {Lawrence, Ruth},
TITLE = {On families of self-adjoint operators},
YEAR = {1987},
}
@book {MR1031992,
AUTHOR = {Lawson, H. Blaine and Michelsohn, Marie-Louise},
TITLE = {Spin geometry},
SERIES = {Princeton Mathematical Series},
VOLUME = {38},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1989},
PAGES = {xii+427},
ISBN = {0-691-08542-0},
MRCLASS = {53-02 (53A50 53C20 57R75 58G10)},
MRNUMBER = {MR1031992 (91g:53001)},
MRREVIEWER = {N. J. Hitchin},
}
@article {MR0494132,
AUTHOR = {Lawson, Terry},
TITLE = {Open book decompositions for odd dimensional manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {189--192},
ISSN = {0040-9383},
MRCLASS = {57D15},
MRNUMBER = {MR0494132 (58 \#13061)},
MRREVIEWER = {W. D. Neumann},
}
@book {MR1984838,
AUTHOR = {Lawson, Terry},
TITLE = {Topology: a geometric approach},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {9},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2003},
PAGES = {xvi+388},
ISBN = {0-19-851597-9},
MRCLASS = {57-01},
MRNUMBER = {MR1984838 (2004c:57001)},
MRREVIEWER = {Darryl McCullough},
}
@article {MR834277,
AUTHOR = {Lawson, Terry},
TITLE = {Normal bundles for an embedded {${\bf R}{\rm P}^2$} in a
positive definite {$4$}-manifold},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {22},
YEAR = {1985},
NUMBER = {2},
PAGES = {215--231},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57N13},
MRNUMBER = {834277 (87k:57014)},
MRREVIEWER = {Ronald J. Stern},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214439819},
}
@article {MR0254100,
AUTHOR = {Lazard, Daniel},
TITLE = {Autour de la platitude},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {97},
YEAR = {1969},
PAGES = {81--128},
ISSN = {0037-9484},
MRCLASS = {16.90 (18.00)},
MRNUMBER = {MR0254100 (40 \#7310)},
MRREVIEWER = {J.-P. Lafon},
}
@article {MR1172225,
AUTHOR = {Lazarev, A. Yu.},
TITLE = {The {N}ovikov homology in knot theory},
JOURNAL = {Mat. Zametki},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki},
VOLUME = {51},
YEAR = {1992},
NUMBER = {3},
PAGES = {53--57, 144},
ISSN = {0025-567X},
MRCLASS = {57M25 (57R70)},
MRNUMBER = {MR1172225 (93g:57012)},
MRREVIEWER = {Andrei V. Pazhitnov},
}
@book {MR2467561,
TITLE = {The {P}rinceton companion to mathematics},
AUTHOR = {Gowers, Timothy and Barrow-Green, June and Leader, Imre},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2008},
PAGES = {xxii+1034},
ISBN = {978-0-691-11880-2},
MRCLASS = {00A20 (00A05)},
MRNUMBER = {MR2467561 (2009i:00002)},
MRREVIEWER = {Terence Tao},
}
@article {MR1511616,
AUTHOR = {Lebesgue, Henri},
TITLE = {Sur la non-applicabilit\'e de deux domaines appartenant
respectivement \`a des espaces \`a n et n+p dimensions},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {70},
YEAR = {1911},
NUMBER = {2},
PAGES = {166--168},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1511616},
}
@article {MR0100569,
AUTHOR = {Ledermann, Walter},
TITLE = {An arithmetical property of quadratic forms},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {33},
YEAR = {1959},
PAGES = {34--37},
MRCLASS = {10.00},
MRNUMBER = {MR0100569 (20 \#6999)},
MRREVIEWER = {R. Ree},
}
@article {MR971415,
AUTHOR = {Ledimet, Jean-Yves},
TITLE = {Cobordisme d'enlacements de disques},
JOURNAL = {M\'em. Soc. Math. France (N.S.)},
FJOURNAL = {M\'emoires de la Soci\'et\'e Math\'ematique de France.
Nouvelle S\'erie},
NUMBER = {32},
YEAR = {1988},
PAGES = {ii+92},
ISSN = {0037-9484},
MRCLASS = {57Q60 (57Q45)},
MRNUMBER = {MR971415 (90e:57046)},
MRREVIEWER = {J. P. Levine},
}
@book {MR1468735,
AUTHOR = {Lee, John M.},
TITLE = {Riemannian manifolds},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {176},
NOTE = {An introduction to curvature},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xvi+224},
ISBN = {0-387-98271-X},
MRCLASS = {53-01 (53C21)},
MRNUMBER = {MR1468735 (98d:53001)},
MRREVIEWER = {Man Chun Leung},
}
@book {MR1759845,
AUTHOR = {Lee, John M.},
TITLE = {Introduction to topological manifolds},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {202},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2000},
PAGES = {xviii+385},
ISBN = {0-387-98759-2; 0-387-95026-5},
MRCLASS = {57-01 (54-01 55-01)},
MRNUMBER = {MR1759845 (2001d:57001)},
MRREVIEWER = {B. N. Apanasov},
}
@book {MR1930091,
AUTHOR = {Lee, John M.},
TITLE = {Introduction to smooth manifolds},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {218},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xviii+628},
ISBN = {0-387-95495-3},
MRCLASS = {58-01 (53-01 57-01)},
MRNUMBER = {1930091 (2003k:58001)},
MRREVIEWER = {J{\"u}rgen Eichhorn},
}
@article {MR2976096,
AUTHOR = {Choi, Younggi and Lee, Kyung Bai},
TITLE = {Holonomy displacements in the {H}opf bundles over {$\Bbb CH^n$} and the complex {H}eisenberg groups},
JOURNAL = {J. Korean Math. Soc.},
FJOURNAL = {Journal of the Korean Mathematical Society},
VOLUME = {49},
YEAR = {2012},
NUMBER = {4},
PAGES = {733--743},
ISSN = {0304-9914},
CODEN = {JKMSDG},
MRCLASS = {53C29 (32Q45 53C30)},
MRNUMBER = {2976096},
MRREVIEWER = {Hiroo Naitoh},
DOI = {10.4134/JKMS.2012.49.4.733},
URL = {http://dx.doi.org/10.4134/JKMS.2012.49.4.733},
}
@article {MR1016041,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {A symplectic geometry approach to generalized {C}asson's
invariants of {$3$}-manifolds},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {22},
YEAR = {1990},
NUMBER = {2},
PAGES = {269--275},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57N10},
MRNUMBER = {MR1016041 (91b:57024)},
MRREVIEWER = {Daniel Lines},
DOI = {10.1090/S0273-0979-1990-15885-9},
URL = {http://dx.doi.org/10.1090/S0273-0979-1990-15885-9},
}
@incollection {MR1184405,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Invariants of {$3$}-manifolds from conformal field theory},
BOOKTITLE = {Topology '90 ({C}olumbus, {OH}, 1990)},
SERIES = {Ohio State Univ. Math. Res. Inst. Publ.},
VOLUME = {1},
PAGES = {91--109},
PUBLISHER = {de Gruyter},
ADDRESS = {Berlin},
YEAR = {1992},
MRCLASS = {57M25 (57N10 81T40)},
MRNUMBER = {1184405 (94c:57003)},
MRREVIEWER = {Toshitake Kohno},
}
@article {MR1224618,
AUTHOR = {Lee, Ronnie and Weintraub, Steven H.},
TITLE = {On the homology of double branched covers},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {123},
YEAR = {1995},
NUMBER = {4},
PAGES = {1263--1266},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M12},
MRNUMBER = {MR1224618 (95e:57002)},
MRREVIEWER = {Neal Brand},
DOI = {10.2307/2160729},
URL = {http://dx.doi.org/10.2307/2160729},
}
@article {MR1263126,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {On the {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {47},
YEAR = {1994},
NUMBER = {2},
PAGES = {121--186},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {57R20 (15A63 58E05 58F05)},
MRNUMBER = {MR1263126 (95f:57045)},
MRREVIEWER = {Sergey S. Anisov},
}
@article {MR1391757,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{I}. {L}ow eigenmodes and stretching},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {8},
PAGES = {825--866},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1391757 (97g:58162)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
}
@article {MR1399200,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{II}. {S}pectral flow and {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {9},
PAGES = {869--909},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1399200 (97g:58163)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
}
@article {MR1670052,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{III}. {D}eterminant line bundles and {L}agrangian
intersection},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {52},
YEAR = {1999},
NUMBER = {5},
PAGES = {543--611},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58J30 (53D12 57R57 58J20 58J28 58J52)},
MRNUMBER = {MR1670052 (2000j:58043)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
}
@article {MR1679802,
AUTHOR = {Hutchings, Michael and Lee, Yi-Jen},
TITLE = {Circle-valued {M}orse theory, {R}eidemeister torsion, and
{S}eiberg-{W}itten invariants of {$3$}-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {4},
PAGES = {861--888},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R57 (57M27 57N10 57Q10 57R70)},
MRNUMBER = {MR1679802 (2000i:57055)},
MRREVIEWER = {Bai-Ling Wang},
}
@article {MR1716272,
AUTHOR = {Hutchings, Michael and Lee, Yi-Jen},
TITLE = {Circle-valued {M}orse theory and {R}eidemeister torsion},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {3},
YEAR = {1999},
PAGES = {369--396 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R70 (57M27 57Q10 57R57)},
MRNUMBER = {MR1716272 (2000h:57063)},
MRREVIEWER = {Rostislav Matveyev},
}
@article {MR644215,
AUTHOR = {Leech, Jonathan},
TITLE = {Extending groups by monoids},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {74},
YEAR = {1982},
NUMBER = {1},
PAGES = {1--19},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18G15 (20M50)},
MRNUMBER = {MR644215 (83f:18014)},
MRREVIEWER = {Ross Staffeldt},
DOI = {10.1016/0021-8693(82)90002-3},
URL = {http://dx.doi.org/10.1016/0021-8693(82)90002-3},
}
@book {MR0007093,
AUTHOR = {Lefschetz, Solomon},
TITLE = {Algebraic {T}opology},
SERIES = {American Mathematical Society Colloquium Publications, v. 27},
PUBLISHER = {American Mathematical Society},
ADDRESS = {New York},
YEAR = {1942},
PAGES = {vi+389},
MRCLASS = {56.0X},
MRNUMBER = {MR0007093 (4,84f)},
MRREVIEWER = {H. Whitney},
}
@book {MR0031708,
AUTHOR = {Lefschetz, Solomon},
TITLE = {Introduction to {T}opology},
SERIES = {Princeton Mathematical Series, vol. 11},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1949},
PAGES = {viii+218},
MRCLASS = {56.0X},
MRNUMBER = {MR0031708 (11,193e)},
MRREVIEWER = {B. Eckmann},
}
@article {MR1501331,
AUTHOR = {Lefschetz, Solomon},
TITLE = {Intersections and transformations of complexes and manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {28},
YEAR = {1926},
NUMBER = {1},
PAGES = {1--49},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57N65},
MRNUMBER = {MR1501331},
}
@article {MR1823315,
AUTHOR = {Leichtnam, Eric and Lott, John and Piazza, Paolo},
TITLE = {On the homotopy invariance of higher signatures for manifolds
with boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {54},
YEAR = {2000},
NUMBER = {3},
PAGES = {561--633},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58J22 (19K56 58J28 58J32)},
MRNUMBER = {MR1823315 (2002e:58040)},
MRREVIEWER = {John G. Miller},
}
@article {MR1905836,
AUTHOR = {Leichtnam, Eric and L{\"u}ck, Wolfgang and Kreck, Matthias},
TITLE = {On the cut-and-paste property of higher signatures of a closed
oriented manifold},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {4},
PAGES = {725--744},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R20 (19K56 57R67)},
MRNUMBER = {MR1905836 (2003e:57045)},
MRREVIEWER = {John G. Miller},
}
@article {albin1-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, I. Index classes},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.1568},
year = {2009},
}
@article {albin2-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, II. Higher signatures},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.0888v1},
year = {2009},
}
@article {MR2271220,
AUTHOR = {Leidy, Constance},
TITLE = {Higher-order linking forms for knots},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
Mathematical Society},
VOLUME = {81},
YEAR = {2006},
NUMBER = {4},
PAGES = {755--781},
ISSN = {0010-2571},
MRCLASS = {57M25},
MRNUMBER = {MR2271220 (2007g:57011)},
MRREVIEWER = {Thomas K. K. Au},
}
@article{cochran_knot_2007,
title = {Knot concordance and Blanchfield duality},
url = {http://arxiv.org/abs/0705.3987},
abstract = {We introduce a new technique for showing classical knots and links are not slice. As one application we resolve a long-standing question as to whether certain natural families of knots contain topologically slice knots. We also present a simpler proof of the result of {Cochran-Teichner} that the successive quotients of the integral terms of the {Cochran-Orr-Teichner} filtration of the knot concordance group have rank 1. For links we have similar results. We show that the iterated Bing doubles of many algebraically slice knots are not topologically slice. Some of the proofs do not use the existence of the {Cheeger-Gromov} bound, a deep analytical tool used by {Cochran-Teichner.} Our main examples are actually boundary links but cannot be detected in the algebraic boundary link concordance group, nor by any \${\textbackslash}rho\$ invariants associated to solvable representations into finite unitary groups.},
journal = {0705.3987},
author = {Cochran, Tim D. and Harvey, Shelly and Leidy, Constance},
month = may,
year = {2007},
keywords ="{57M25}, Mathematics - Geometric Topology
}
@article{cochran_primary_2009,
title = {Primary decomposition and the fractal nature of knot concordance},
url = {http://arxiv.org/abs/0906.1373},
abstract = {For each sequence of polynomials, P=(p\_1(t),p\_2(t),...), we define a characteristic series of groups, called the derived series localized at P. Given a knot K in S{\textasciicircum}3, such a sequence of polynomials arises naturally as the orders of certain submodules of the sequence of higher-order Alexander modules of K. These group series yield new filtrations of the knot concordance group that refine the (n)-solvable filtration of {Cochran-Orr-Teichner.} We show that the quotients of successive terms of these refined filtrations have infinite rank. These results also suggest higher-order analogues of the p(t)-primary decomposition of the algebraic concordance group. We use these techniques to give evidence that the set of smooth concordance classes of knots is a fractal set. We also show that no {Cochran-Orr-Teichner} knot is concordant to any {Cochran-Harvey-Leidy} knot.},
journal = {0906.1373},
author = {Tim D. Cochran and Shelly Harvey and Constance Leidy},
month = jun,
year = {2009},
keywords = {{57M25,} {20J05,} Mathematics - Geometric Topology, Mathematics - Group Theory},
}
@article {cohale,
AUTHOR = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
TITLE = {Knot concordance and higher-order Blanchfield duality},
}
@article{cohale2,
title = {Derivatives of knots and second-order signatures},
author = {Cochran, Tim D. and Shelly Harvey and Constance Leidy},
journal = {Algebraic & Geometric Topology},
volume = {10},
year = {2010},
pages = {739�787},
}
@article {MR1140607,
AUTHOR = {Geigle, Werner and Lenzing, Helmut},
TITLE = {Perpendicular categories with applications to representations
and sheaves},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {144},
YEAR = {1991},
NUMBER = {2},
PAGES = {273--343},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16D90 (16G20 18E10 18E30 18E35)},
MRNUMBER = {MR1140607 (93b:16011)},
MRREVIEWER = {Jeremy Rickard},
}
@article {MR614311,
AUTHOR = {Leray, Jean},
TITLE = {The meaning of {M}aslov's asymptotic method: the need of
{P}lanck's constant in mathematics},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {5},
YEAR = {1981},
NUMBER = {1},
PAGES = {15--27},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {58G15 (35S05 58F05 81C15)},
MRNUMBER = {MR614311 (82m:58052)},
MRREVIEWER = {A. Voros},
}
@book {MR644633,
AUTHOR = {Leray, Jean},
TITLE = {Lagrangian analysis and quantum mechanics},
NOTE = {A mathematical structure related to asymptotic expansions and
the Maslov index,
Translated from the French by Carolyn Schroeder},
PUBLISHER = {MIT Press},
ADDRESS = {Cambridge, Mass.},
YEAR = {1981},
PAGES = {xvii+271},
ISBN = {0-262-12087-9},
MRCLASS = {58G15 (35B99 81C99)},
MRNUMBER = {MR644633 (83k:58081a)},
MRREVIEWER = {J. S. Joel},
}
@article {MR1386311,
AUTHOR = {Lesch, Matthias and Wojciechowski, Krzysztof P.},
TITLE = {On the {$\eta$}-invariant of generalized
{A}tiyah-{P}atodi-{S}inger boundary value problems},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {40},
YEAR = {1996},
NUMBER = {1},
PAGES = {30--46},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {58G20 (58G10 58G25)},
MRNUMBER = {MR1386311 (97d:58194)},
MRREVIEWER = {Kenro Furutani},
}
@article {MR1666570,
AUTHOR = {Br{\"u}ning, Jochen and Lesch, Matthias},
TITLE = {On the {$\eta$}-invariant of certain nonlocal boundary value
problems},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {96},
YEAR = {1999},
NUMBER = {2},
PAGES = {425--468 ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {58G10 (58G11 58G20)},
MRNUMBER = {MR1666570 (99m:58180)},
MRREVIEWER = {John G. Miller},
}
@incollection {MR1715935,
AUTHOR = {Lesch, Matthias},
TITLE = {{$K$}-theory and {T}oeplitz {$C^*$}-algebras---a survey},
BOOKTITLE = {S\'eminaire de {T}h\'eorie {S}pectrale et {G}\'eom\'etrie,
{N}o. 9, {A}nn\'ee 1990--1991},
SERIES = {S\'emin. Th\'eor. Spectr. G\'eom.},
VOLUME = {9},
PAGES = {119--132},
PUBLISHER = {Univ. Grenoble I},
ADDRESS = {Saint},
YEAR = {1991},
MRCLASS = {46L80 (19K56 46L05)},
MRNUMBER = {1715935},
}
@article {MR1997333,
AUTHOR = {Kirk, Paul and Lesch, Matthias},
TITLE = {On the rho invariant for manifolds with boundary},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {3},
YEAR = {2003},
PAGES = {623--675 (electronic)},
ISSN = {1472-2747},
MRCLASS = {58J28 (57M27 58J30 58J32)},
MRNUMBER = {MR1997333 (2005c:58043)},
}
@article {MR2044028,
AUTHOR = {Kirk, Paul and Lesch, Matthias},
TITLE = {The {$\eta$}-invariant, {M}aslov index, and spectral flow for
{D}irac-type operators on manifolds with boundary},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {16},
YEAR = {2004},
NUMBER = {4},
PAGES = {553--629},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {58J28 (58J30 58J32)},
MRNUMBER = {MR2044028 (2005b:58029)},
MRREVIEWER = {Thomas Schick},
}
@article{lesieutre,
title = {Slice knots and the concordance group},
author = {John Lesieutre},
notes = {Harvard A.B. thesis},
year = {2009},
}
@article {MR1735303,
AUTHOR = {Letsche, Carl F.},
TITLE = {An obstruction to slicing knots using the eta invariant},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {128},
YEAR = {2000},
NUMBER = {2},
PAGES = {301--319},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57M25 (57N70 58J28)},
MRNUMBER = {MR1735303 (2001b:57017)},
MRREVIEWER = {J. P. Levine},
}
@article {MR1882135,
AUTHOR = {Leung, Naichung Conan and Reiner, Victor},
TITLE = {The signature of a toric variety},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {111},
YEAR = {2002},
NUMBER = {2},
PAGES = {253--286},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {14M25 (52B05 52B20)},
MRNUMBER = {MR1882135 (2002m:14041)},
MRREVIEWER = {Joseph Gubeladze},
DOI = {10.1215/S0012-7094-02-11123-5},
URL = {http://dx.doi.org/10.1215/S0012-7094-02-11123-5},
}
@article {MR0179803,
AUTHOR = {Levine, J.},
TITLE = {Unknotting spheres in codimension two},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {4},
YEAR = {1965},
PAGES = {9--16},
ISSN = {0040-9383},
MRCLASS = {57.20 (55.70)},
MRNUMBER = {0179803 (31 \#4045)},
MRREVIEWER = {R. H. Rosen},
}
@article {MR0180981,
AUTHOR = {Levine, J.},
TITLE = {A classification of differentiable knots},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {82},
YEAR = {1965},
PAGES = {15--50},
MRCLASS = {57.20 (55.20)},
MRNUMBER = {MR0180981 (31 \#5211)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0189046,
AUTHOR = {Browder, William and Levine, J. and Livesay, G. R.},
TITLE = {Finding a boundary for an open manifold},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {87},
YEAR = {1965},
PAGES = {1017--1028},
ISSN = {0002-9327},
MRCLASS = {57.20 (57.10)},
MRNUMBER = {MR0189046 (32 \#6473)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0195104,
AUTHOR = {Browder, William and Levine, J.},
TITLE = {Fibering manifolds over a circle},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {40},
YEAR = {1966},
PAGES = {153--160},
MRCLASS = {57.20},
MRNUMBER = {MR0195104 (33 \#3309)},
MRREVIEWER = {R. H. Rosen},
}
@article {MR0200922,
AUTHOR = {Levine, J.},
TITLE = {Polynomial invariants of knots of codimension two},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {537--554},
ISSN = {0003-486X},
MRCLASS = {55.20},
MRNUMBER = {MR0200922 (34 \#808)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0246314,
AUTHOR = {Levine, J.},
TITLE = {Knot cobordism groups in codimension two},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {44},
YEAR = {1969},
PAGES = {229--244},
MRCLASS = {57.20},
MRNUMBER = {MR0246314 (39 \#7618)},
MRREVIEWER = {R. Schultz},
}
@article {MR0253348,
AUTHOR = {Levine, J.},
TITLE = {Invariants of knot cobordism},
JOURNAL = {Invent. Math. 8 (1969), 98--110; addendum, ibid.},
VOLUME = {8},
YEAR = {1969},
PAGES = {355},
MRCLASS = {57.10},
MRNUMBER = {MR0253348 (40 \#6563)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0266226,
AUTHOR = {Levine, J.},
TITLE = {An algebraic classification of some knots of codimension two},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {45},
YEAR = {1970},
PAGES = {185--198},
MRCLASS = {57.20},
MRNUMBER = {MR0266226 (42 \#1133)},
MRREVIEWER = {D. W. L. Sumners},
}
@article {MR0266243,
AUTHOR = {Levine, J.},
TITLE = {Inertia groups of manifolds and diffeomorphisms of spheres},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {92},
YEAR = {1970},
PAGES = {243--258},
ISSN = {0002-9327},
MRCLASS = {57.47},
MRNUMBER = {0266243 (42 \#1150)},
MRREVIEWER = {R. De Sapio},
}
@incollection {MR0420639,
AUTHOR = {Levine, J.},
TITLE = {The role of the {S}eifert matrix in knot theory},
BOOKTITLE = {Actes du {C}ongr\`es {I}nternational des {M}ath\'ematiciens
({N}ice, 1970), {T}ome 2},
PAGES = {95--98},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1971},
MRCLASS = {57C45},
MRNUMBER = {0420639 (54 \#8652)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0461518,
AUTHOR = {Levine, J.},
TITLE = {Knot modules. {I}},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {229},
YEAR = {1977},
PAGES = {1--50},
MRCLASS = {57C45},
MRNUMBER = {MR0461518 (57 \#1503)},
MRREVIEWER = {Chao-Chu Liang},
}
@article {MR1004605,
AUTHOR = {Levine, J.},
TITLE = {Metabolic and hyperbolic forms from knot theory},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {58},
YEAR = {1989},
NUMBER = {3},
PAGES = {251--260},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {57Q45 (11E39)},
MRNUMBER = {MR1004605 (90h:57027)},
MRREVIEWER = {C. Kearton},
DOI = {10.1016/0022-4049(89)90040-6},
URL = {http://dx.doi.org/10.1016/0022-4049(89)90040-6},
}
@article {MR1259607,
AUTHOR = {Levine, J.},
TITLE = {Link invariants via the eta invariant},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {69},
YEAR = {1994},
NUMBER = {1},
PAGES = {82--119},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25 (57Q45)},
MRNUMBER = {MR1259607 (95a:57009)},
MRREVIEWER = {Masayuki Yamasaki},
}
@incollection {MR1282751,
AUTHOR = {Farber, Michael and Levine, J.},
TITLE = {A topological interpretation of the {A}tiyah-{P}atodi-{S}inger
invariant},
BOOKTITLE = {Geometric topology ({H}aifa, 1992)},
SERIES = {Contemp. Math.},
VOLUME = {164},
PAGES = {9--16},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {58G10 (57R57)},
MRNUMBER = {MR1282751 (95h:58124)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR1417429,
AUTHOR = {Farber, Michael and Levine, J.},
TITLE = {Jumps of the eta-invariant},
NOTE = {With an appendix by Shmuel Weinberger: Rationality of
$\rho$-invariants},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {223},
YEAR = {1996},
NUMBER = {2},
PAGES = {197--246},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {58G10 (57R57)},
MRNUMBER = {MR1417429 (98m:58131)},
MRREVIEWER = {Author's review (M.S.F.)},
}
@book {MR564114,
AUTHOR = {Levine, J.},
TITLE = {Algebraic structure of knot modules},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {772},
PUBLISHER = {Springer, Berlin},
YEAR = {1980},
PAGES = {xi+104},
ISBN = {3-540-09739-2},
MRCLASS = {57Q45 (10C05 13C12)},
MRNUMBER = {564114 (81i:57017)},
MRREVIEWER = {Neal W. Stoltzfus},
}
@article {MR718271,
AUTHOR = {Levine, J.},
TITLE = {Doubly sliced knots and doubled disk knots},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {30},
YEAR = {1983},
NUMBER = {2},
PAGES = {249--256},
ISSN = {0026-2285},
MRCLASS = {57Q45},
MRNUMBER = {718271 (85h:57024)},
MRREVIEWER = {W. D. Neumann},
DOI = {10.1307/mmj/1029002856},
URL = {http://dx.doi.org/10.1307/mmj/1029002856},
}
@incollection {MR802786,
AUTHOR = {Levine, J.},
TITLE = {Lectures on groups of homotopy spheres},
BOOKTITLE = {Algebraic and geometric topology ({N}ew {B}runswick, {N}.{J}.,
1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1126},
PAGES = {62--95},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {57R60 (57R65)},
MRNUMBER = {MR802786 (87i:57031)},
MRREVIEWER = {Joel M. Cohen},
}
@article {MR996555,
AUTHOR = {Levine, J.},
TITLE = {Link concordance and algebraic closure. {II}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {96},
YEAR = {1989},
NUMBER = {3},
PAGES = {571--592},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57M25 (57N70 57Q45 57Q65)},
MRNUMBER = {MR996555 (91g:57007)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@article {MR997364,
AUTHOR = {Levine, J.},
TITLE = {Link concordance and algebraic closure of groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {64},
YEAR = {1989},
NUMBER = {2},
PAGES = {236--255},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {MR997364 (91a:57016)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@article{math.GT/0306315,
title = {{Concordance of boundary links}},
author = {Levine, J.},
eprint = {arXiv:math.GT/0306315},
}
@article {MR0314050,
AUTHOR = {Levitt, Norman and Morgan, John W.},
TITLE = {Transversality structures and p.l. structures on spherical
fibrations},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {78},
YEAR = {1972},
PAGES = {1064--1068},
ISSN = {0002-9904},
MRCLASS = {55F60},
MRNUMBER = {0314050 (47 \#2602)},
MRREVIEWER = {B. J. Sanderson},
}
@article {MR0314059,
AUTHOR = {Levitt, Norman},
TITLE = {Poincar\'e duality cobordism},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {96},
YEAR = {1972},
PAGES = {211--244},
ISSN = {0003-486X},
MRCLASS = {57B10},
MRNUMBER = {MR0314059 (47 \#2611)},
MRREVIEWER = {A. Liulevicius},
}
@article {MR0377909,
AUTHOR = {Levitt, Norman},
TITLE = {Exotic singular structures on spheres},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {205},
YEAR = {1975},
PAGES = {371--388},
ISSN = {0002-9947},
MRCLASS = {57C25},
MRNUMBER = {MR0377909 (51 \#14078)},
MRREVIEWER = {J. McNamara},
}
@article {MR0494134,
AUTHOR = {Levitt, Norman and Rourke, C. P.},
TITLE = {The existence of combinatorial formulae for characteristic
classes},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {239},
YEAR = {1978},
PAGES = {391--397},
ISSN = {0002-9947},
MRCLASS = {57D20 (57C05)},
MRNUMBER = {0494134 (58 \#13063)},
MRREVIEWER = {Robert MacPherson},
}
@article {MR1134452,
AUTHOR = {Levitt, Norman},
TITLE = {The {E}uler characteristic is the unique locally determined
numerical homotopy invariant of finite complexes},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {7},
YEAR = {1992},
NUMBER = {1},
PAGES = {59--67},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {57Q99},
MRNUMBER = {1134452 (92k:57046)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
DOI = {10.1007/BF02187824},
URL = {http://dx.doi.org/10.1007/BF02187824},
}
@book {MR989273,
AUTHOR = {Levitt, Norman},
TITLE = {Grassmannians and {G}auss maps in piecewise-linear topology},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1366},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1989},
PAGES = {vi+203},
ISBN = {3-540-50756-6},
MRCLASS = {57Q35 (57R20)},
MRNUMBER = {MR989273 (90e:57042)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article {MR0424687,
AUTHOR = {Lewis, D. W.},
TITLE = {Forms over real algebras and the multisignature of a manifold},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {23},
YEAR = {1977},
NUMBER = {3},
PAGES = {272--284},
ISSN = {0001-8708},
MRCLASS = {10C05 (57D65)},
MRNUMBER = {MR0424687 (54 \#12646)},
MRREVIEWER = {Chih-Han Sah},
}
@article {MR554390,
AUTHOR = {Lewis, D. W.},
TITLE = {A note on {H}ermitian and quadratic forms},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {11},
YEAR = {1979},
NUMBER = {3},
PAGES = {265--267},
ISSN = {0024-6093},
CODEN = {LMSBBT},
MRCLASS = {10C05},
MRNUMBER = {MR554390 (81h:10031)},
MRREVIEWER = {Hans-Jochen Bartels},
}
@article {MR644226,
AUTHOR = {Lewis, D. W.},
TITLE = {New improved exact sequences of {W}itt groups},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {74},
YEAR = {1982},
NUMBER = {1},
PAGES = {206--210},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {10C05},
MRNUMBER = {MR644226 (83d:10025)},
MRREVIEWER = {Craig Cordes},
}
@article {MR702733,
AUTHOR = {Lewis, D. W.},
TITLE = {Exact sequences of {W}itt groups of equivariant forms},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {29},
YEAR = {1983},
NUMBER = {1-2},
PAGES = {45--51},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {11E81 (13K05)},
MRNUMBER = {MR702733 (85c:11041b)},
MRREVIEWER = {Marie-Paule Malliavin},
}
@article {MR795892,
AUTHOR = {Lewis, D. W.},
TITLE = {Periodicity of {C}lifford algebras and exact octagons of
{W}itt groups},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {98},
YEAR = {1985},
NUMBER = {2},
PAGES = {263--269},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {15A66 (11E88 16A28 55R45)},
MRNUMBER = {MR795892 (87j:15050)},
MRREVIEWER = {E. Hornix},
}
@book {MR866482,
AUTHOR = {Lewis, L. G. and May, J. Peter and Steinberger, M. and
McClure, James},
TITLE = {Equivariant stable homotopy theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1213},
NOTE = {With contributions by J. E. McClure},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1986},
PAGES = {x+538},
ISBN = {3-540-16820-6},
MRCLASS = {55-02 (55Nxx 55Pxx 57S99)},
MRNUMBER = {MR866482 (88e:55002)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR1186384,
AUTHOR = {Li, Bang He and Liu, Rong and Zhang, Ping},
TITLE = {A simplified approach to embedding problems in normal bordism
framework},
JOURNAL = {Systems Sci. Math. Sci.},
FJOURNAL = {Systems Science and Mathematical Sciences},
VOLUME = {5},
YEAR = {1992},
NUMBER = {2},
PAGES = {180--192},
ISSN = {1000-9590},
CODEN = {SMASE2},
MRCLASS = {57R40},
MRNUMBER = {MR1186384 (93i:57040)},
MRREVIEWER = {R. E. Stong},
}
@incollection {MR764585,
AUTHOR = {Li, Bang He and Habegger, N.},
TITLE = {A two-stage procedure for the classification of vector bundle
monomorphisms with applications to the classification of
immersions homotopic to a map},
BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {293--314},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R22 (57R42 58D10)},
MRNUMBER = {MR764585 (86c:57022)},
MRREVIEWER = {M. Mahowald},
}
@article {MR1396986,
AUTHOR = {Li, Gui-Song},
TITLE = {Kojima's eta-function for manifold links in higher dimensions},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {125},
YEAR = {1997},
NUMBER = {1},
PAGES = {293--299},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57Q45},
MRNUMBER = {MR1396986 (97f:57027)},
MRREVIEWER = {Masayuki Yamasaki},
DOI = {10.1090/S0002-9939-97-03889-6},
URL = {http://dx.doi.org/10.1090/S0002-9939-97-03889-6},
}
@article {MR1483792,
AUTHOR = {Li, Weiping},
TITLE = {Casson-{L}in's invariant and {F}loer homology},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {6},
YEAR = {1997},
NUMBER = {6},
PAGES = {851--877},
ISSN = {0218-2165},
MRCLASS = {57M25 (57R57 58F05)},
MRNUMBER = {MR1483792 (98k:57012)},
MRREVIEWER = {Nikolai N. Saveliev},
DOI = {10.1142/S0218216597000480},
URL = {http://dx.doi.org/10.1142/S0218216597000480},
}
@article{li_gauss-bonnet-chern_2011,
title = {The Gauss-Bonnet-Chern Theorem on Riemannian Manifolds},
url = {http://arxiv.org/abs/1111.4972},
abstract = {This expository paper contains a detailed introduction to some important works concerning the Gauss-Bonnet-Chern theorem. The study of this theorem has a long history dating back to Gauss's Theorema Egregium (Latin: Remarkable Theorem) and culminated in Chern's groundbreaking work [14] in 1944, which is a deep and wonderful application of Elie Cartan's formalism. The idea and tools in [14] have a great generalization and continue to produce important results till today. In this paper, we give four different proofs of the Gauss-Bonnet-Chern theorem on Riemannian manifolds, namely Chern's simple intrinsic proof, a topological proof, Mathai-Quillen's Thom form proof and {McKean-Singer-Patodi's} heat equation proof. These proofs are related with remarkable developments in differential geometry such as the Chern-Weil theory, theory of characteristic classes, Mathai-Quillen's formalism and the Atiyah-Singer index theorem. It is through these brilliant achievements the great importance and influence of Chern's insights and ideas are shown. Our purpose here is to use the Gauss- Bonnet-Chern theorem as a guide to expose the reader to some advanced topics in modern differential geometry.},
urldate = {2013-05-14},
journal = {{arXiv:1111.4972}},
author = {Li, Yin},
month = nov,
year = {2011},
keywords = {Mathematics - Differential Geometry},
}
@article {MR0385869,
AUTHOR = {Liang, Chao Chu},
TITLE = {A concordance classification of p.l. homeomorphisms of real
projective space},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {215},
YEAR = {1975},
PAGES = {47--58},
ISSN = {0025-5831},
MRCLASS = {57C25},
MRNUMBER = {MR0385869 (52 \#6728)},
MRREVIEWER = {L. S. Husch},
}
@article {MR0458439,
AUTHOR = {Liang, Chao Chu},
TITLE = {An algebraic classification of some links of codimension two},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {67},
YEAR = {1977},
NUMBER = {1},
PAGES = {147--151},
ISSN = {0002-9939},
MRCLASS = {57C45},
MRNUMBER = {MR0458439 (56 \#16642)},
MRREVIEWER = {Mauricio Gutierrez},
}
@article {MR1304179,
AUTHOR = {Liang, Chengzhi and Mislow, Kurt},
TITLE = {On {B}orromean links},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {16},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {27--35},
ISSN = {0259-9791},
CODEN = {JMCHEG},
MRCLASS = {57M25 (92E10)},
MRNUMBER = {1304179 (95j:57008)},
MRREVIEWER = {Erica Flapan},
DOI = {10.1007/BF01169193},
URL = {http://dx.doi.org/10.1007/BF01169193},
}
@article {MR2372895,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera and characteristic classes of complex algebraic
varieties},
JOURNAL = {Electron. Res. Announc. Math. Sci.},
FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
VOLUME = {15},
YEAR = {2008},
PAGES = {1--7},
ISSN = {1935-9179},
MRCLASS = {32S35 (14D07 32S60 55N33)},
MRNUMBER = {MR2372895 (2009c:32055)},
MRREVIEWER = {Markus Banagl},
}
@article {MR2545873,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera of algebraic varieties. {II}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {345},
YEAR = {2009},
NUMBER = {4},
PAGES = {925--972},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {14C30 (58Jxx)},
MRNUMBER = {MR2545873},
DOI = {10.1007/s00208-009-0389-6},
URL = {http://dx.doi.org/10.1007/s00208-009-0389-6},
}
@article {MR2646635,
AUTHOR = {Licata, Joan E.},
TITLE = {Constructing {S}eifert surfaces from {$n$}-bridge link
projections},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {19},
YEAR = {2010},
NUMBER = {3},
PAGES = {313--334},
ISSN = {0218-2165},
MRCLASS = {57M25 (57M27)},
MRNUMBER = {2646635 (2011i:57009)},
DOI = {10.1142/S021821651000784X},
URL = {http://dx.doi.org/10.1142/S021821651000784X},
}
@article {MR0310899,
AUTHOR = {Kearton, C. and Lickorish, W. B. R.},
TITLE = {Piecewise linear critical levels and collapsing},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {170},
YEAR = {1972},
PAGES = {415--424},
ISSN = {0002-9947},
MRCLASS = {57C35},
MRNUMBER = {MR0310899 (46 \#9997)},
MRREVIEWER = {D. W. L. Sumners},
}
@book {MR1472978,
AUTHOR = {Lickorish, W. B. R.},
TITLE = {An introduction to knot theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {175},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {x+201},
ISBN = {0-387-98254-X},
MRCLASS = {57M25 (57N10)},
MRNUMBER = {MR1472978 (98f:57015)},
MRREVIEWER = {Darryl McCullough},
}
@book{lima,
AUTHOR = {Lima, Elon Lages},
TITLE = {Fundamental groups and covering spaces},
NOTE = {Translated from the Portuguese by Jonas Gomes},
PUBLISHER = {A K Peters Ltd.},
ADDRESS = {Natick, MA},
YEAR = {2003},
PAGES = {x+210},
ISBN = {1-56881-131-4},
MRCLASS = {57M05 (20F34 57-01)},
MRNUMBER = {2000701 (2005c:57001)},
}
@article {MR1158339,
AUTHOR = {Lin, Xiao Song},
TITLE = {A knot invariant via representation spaces},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {35},
YEAR = {1992},
NUMBER = {2},
PAGES = {337--357},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57M25 (57M05)},
MRNUMBER = {MR1158339 (93e:57012)},
MRREVIEWER = {Christine Lescop},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214448078},
}
@article {MR1852950,
AUTHOR = {Lin, Xiao Song},
TITLE = {Representations of knot groups and twisted {A}lexander
polynomials},
JOURNAL = {Acta Math. Sin. (Engl. Ser.)},
FJOURNAL = {Acta Mathematica Sinica. English Series},
VOLUME = {17},
YEAR = {2001},
NUMBER = {3},
PAGES = {361--380},
ISSN = {1000-9574},
CODEN = {AMSSFV},
MRCLASS = {57M25 (57M27)},
MRNUMBER = {MR1852950 (2003f:57018)},
MRREVIEWER = {Michael Heusener},
}
@article{lindenstrauss_algebraic_2010,
title = {On the algebraic K-theory of formal power series},
url = {http://arxiv.org/abs/1010.6040},
journal = {1010.6040},
author = {Ayelet Lindenstrauss and Randy McCarthy},
month = oct,
year = {2010},
keywords = {{19D50} {19D35,} {19D55,} {16E20,} Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@article {MR825932,
AUTHOR = {Lines, Daniel},
TITLE = {On odd-dimensional fibred knots obtained by plumbing and
twisting},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {32},
YEAR = {1985},
NUMBER = {3},
PAGES = {557--571},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {57Q45},
MRNUMBER = {MR825932 (88b:57027)},
MRREVIEWER = {Eva Bayer-Fluckiger},
}
@article {MR944604,
AUTHOR = {Lines, Daniel and Morales, Jorge},
TITLE = {Grothendieck groups of sesquilinear forms over a ring with
involution},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {281},
YEAR = {1988},
NUMBER = {1},
PAGES = {97--108},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {18F25 (11E70 19G99 57Q45)},
MRNUMBER = {MR944604 (89k:18023)},
MRREVIEWER = {Barry H. Dayton},
}
@article {MR699010,
AUTHOR = {Eckmann, Beno and Linnell, Peter},
TITLE = {Poincar\'e duality groups of dimension two. {II}},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {111--114},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M20 (20F38 57P10)},
MRNUMBER = {MR699010 (84i:57003)},
MRREVIEWER = {R. M. F. Moss},
}
@article{math.GR/0401312,
title = {{Groups of small homological dimension and the Atiyah
Conjecture}},
author = {Peter Kropholler and Peter Linnell and Wolfgang L{\"u}ck},
}
@article{math.RA/0202027,
title = {{The Ore condition, affiliated operators, and the lamplighter
group}},
author = {Peter Linnell and Wolfgang L{\"u}ck and Thomas Schick},
howpublished = {Preprint Series SFB Geometrische Strukturen Muenster, no 205},
}
@book {MR573448,
AUTHOR = {Lion, G{\'e}rard and Vergne, Mich{\`e}le},
TITLE = {The {W}eil representation, {M}aslov index and theta series},
SERIES = {Progress in Mathematics},
VOLUME = {6},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Mass.},
YEAR = {1980},
PAGES = {vi+337},
ISBN = {3-7643-3007-4},
MRCLASS = {58G15 (10D20 14K25 22D10 81D05)},
MRNUMBER = {MR573448 (81j:58075)},
MRREVIEWER = {A. Crumeyrolle},
}
@incollection {MR644839,
AUTHOR = {Lion, G{\'e}rard and Perrin, Patrice},
TITLE = {Extension des repr\'esentations de groupes unipotents
{$p$}-adiques. {C}alculs d'obstructions},
BOOKTITLE = {Noncommutative harmonic analysis and {L}ie groups
({M}arseille, 1980)},
SERIES = {Lecture Notes in Math.},
VOLUME = {880},
PAGES = {337--356},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {22E50 (22E27)},
MRNUMBER = {MR644839 (83h:22032)},
MRREVIEWER = {S. Yu. Prishchepionok},
}
@article{schaum,
title = {Schaum's Outline of General Topology},
author = {Seymour Lipschutz},
}
@article {MR0500905,
AUTHOR = {Gordon, C. McA. and Litherland, R. A.},
TITLE = {On the signature of a link},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {47},
YEAR = {1978},
NUMBER = {1},
PAGES = {53--69},
ISSN = {0020-9910},
MRCLASS = {55A25},
MRNUMBER = {MR0500905 (58 \#18407)},
MRREVIEWER = {Wilbur Whitten},
}
@incollection {MR547456,
AUTHOR = {Litherland, R. A.},
TITLE = {Signatures of iterated torus knots},
BOOKTITLE = {Topology of low-dimensional manifolds ({P}roc. {S}econd
{S}ussex {C}onf., {C}helwood {G}ate, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {722},
PAGES = {71--84},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57M25},
MRNUMBER = {MR547456 (80k:57012)},
MRREVIEWER = {Lee Rudolph},
}
@article {MR617628,
AUTHOR = {Gordon, C. McA. and Litherland, R. A. and Murasugi, Kunio},
TITLE = {Signatures of covering links},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {33},
YEAR = {1981},
NUMBER = {2},
PAGES = {381--394},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57M25},
MRNUMBER = {MR617628 (83a:57006)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR780587,
AUTHOR = {Litherland, R. A.},
TITLE = {Cobordism of satellite knots},
BOOKTITLE = {Four-manifold theory ({D}urham, {N}.{H}., 1982)},
SERIES = {Contemp. Math.},
VOLUME = {35},
PAGES = {327--362},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1984},
MRCLASS = {57M25 (18F25 19G12 19M05 57Q60)},
MRNUMBER = {MR780587 (86k:57003)},
MRREVIEWER = {Cameron McA. Gordon},
}
@article {MR2738361,
AUTHOR = {Angeleri H{\"u}gel, Lidia and Koenig, Steffen and Liu, Qunhua},
TITLE = {Recollements and tilting objects},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {215},
YEAR = {2011},
NUMBER = {4},
PAGES = {420--438},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16E35 (18E30 18E40)},
MRNUMBER = {2738361},
DOI = {10.1016/j.jpaa.2010.04.027},
URL = {http://dx.doi.org/10.1016/j.jpaa.2010.04.027},
}
@article {MR1186384,
AUTHOR = {Li, Bang He and Liu, Rong and Zhang, Ping},
TITLE = {A simplified approach to embedding problems in normal bordism
framework},
JOURNAL = {Systems Sci. Math. Sci.},
FJOURNAL = {Systems Science and Mathematical Sciences},
VOLUME = {5},
YEAR = {1992},
NUMBER = {2},
PAGES = {180--192},
ISSN = {1000-9590},
CODEN = {SMASE2},
MRCLASS = {57R40},
MRNUMBER = {MR1186384 (93i:57040)},
MRREVIEWER = {R. E. Stong},
}
@article {MR2736921,
AUTHOR = {Liu, YanPei},
TITLE = {Surface embeddability of graphs via homology},
JOURNAL = {Sci. China Math.},
FJOURNAL = {Science China. Mathematics},
VOLUME = {53},
YEAR = {2010},
NUMBER = {11},
PAGES = {2889--2892},
ISSN = {1674-7283},
MRCLASS = {05C10 (14J29 57N17)},
MRNUMBER = {2736921},
DOI = {10.1007/s11425-010-4067-7},
URL = {http://dx.doi.org/10.1007/s11425-010-4067-7},
}
@article {MR0198480,
AUTHOR = {Browder, William and Liulevicius, A. and Peterson, F. P.},
TITLE = {Cobordism theories},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {91--101},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0198480 (33 \#6638)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0189046,
AUTHOR = {Browder, William and Levine, J. and Livesay, G. R.},
TITLE = {Finding a boundary for an open manifold},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {87},
YEAR = {1965},
PAGES = {1017--1028},
ISSN = {0002-9327},
MRCLASS = {57.20 (57.10)},
MRNUMBER = {MR0189046 (32 \#6473)},
MRREVIEWER = {R. K. Lashof},
}
@article{1983,
jstor_articletype = {primary_article},
title = {Algebraic Knots are Algebraically Dependent},
author = {Livingston, Charles and Melvin, Paul},
journal = {Proceedings of the American Mathematical Society},
jstor_issuetitle = {},
volume = {87},
number = {1},
jstor_formatteddate = {Jan. - Apr., 1983},
pages = {179--180},
url = {http://www.jstor.org/stable/2044377},
ISSN = {00029939},
abstract = {Algebraic knots are linearly dependent in $G_-$, the algebraic knot concordance group. An example of a linear relation between four algebraic knots is constructed.},
language = {},
year = {1983},
publisher = {American Mathematical Society},
copyright = {Copyright � 1983 American Mathematical Society},
}
@book {MR1253070,
AUTHOR = {Livingston, Charles},
TITLE = {Knot theory},
SERIES = {Carus Mathematical Monographs},
VOLUME = {24},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {1993},
PAGES = {xviii+240},
ISBN = {0-88385-027-3},
MRCLASS = {57M25},
MRNUMBER = {MR1253070 (94m:57021)},
MRREVIEWER = {William Dunbar},
}
@article {MR1670420,
AUTHOR = {Kirk, Paul and Livingston, Charles},
TITLE = {Twisted {A}lexander invariants, {R}eidemeister torsion, and
{C}asson-{G}ordon invariants},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {3},
PAGES = {635--661},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25 (57Q45)},
MRNUMBER = {MR1670420 (2000c:57010)},
MRREVIEWER = {C. Kearton},
}
@article {MR1670424,
AUTHOR = {Kirk, Paul and Livingston, Charles},
TITLE = {Twisted knot polynomials: inversion, mutation and concordance},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {38},
YEAR = {1999},
NUMBER = {3},
PAGES = {663--671},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25},
MRNUMBER = {MR1670424 (2000c:57011)},
MRREVIEWER = {C. Kearton},
}
@article {MR1879982,
AUTHOR = {Livingston, Charles},
TITLE = {New examples of non-slice, algebraically slice knots},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {130},
YEAR = {2002},
NUMBER = {5},
PAGES = {1551--1555 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M25 (57M12)},
MRNUMBER = {MR1879982 (2002j:57018)},
MRREVIEWER = {Daniel Matignon},
DOI = {10.1090/S0002-9939-01-06201-3},
URL = {http://dx.doi.org/10.1090/S0002-9939-01-06201-3},
}
@article {MR2054808,
AUTHOR = {Cha, Jae Choon and Livingston, Charles},
TITLE = {Knot signature functions are independent},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {132},
YEAR = {2004},
NUMBER = {9},
PAGES = {2809--2816 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M25 (11E39)},
MRNUMBER = {MR2054808 (2005d:57004)},
MRREVIEWER = {Alexander Zvonkin},
}
@article{livingston_algebraic_2008,
title = {The algebraic concordance order of a knot},
url = {http://arxiv.org/abs/0806.3068},
abstract = {Levine defined the rational algebraic knot concordance group and proved that each nontrivial element is of order two, of order four, or of infinite order. The determination of the order of an element depends on a p-adic analysis for all primes p. Here we develop effective means to determine the order of any element that is in the image of the integral algebraic concordance group by restricting the set of primes that need to be considered and by finding simple tests that often avoid p-adic considerations. The paper includes an outline of how the results apply to give the determination of the algebraic orders of all 2,977 prime knots of 12 or fewer crossings. The paper also includes a short expository account of the necessary background in p-adic numbers and Witt groups of bilinear forms.},
journal = {0806.3068},
author = {Charles Livingston},
month = jun,
year = {2008},
keywords = {{57M25,} Mathematics - Geometric Topology},
}
@article{livingston_knot_2009,
title = {Knot 4--genus and the rank of classes in {W(Q(t))}},
url = {http://arxiv.org/abs/0912.1022},
abstract = {To a Seifert matrix of a knot K one can associate a matrix {w(K)} with entries in the rational function field, Q(t). The Murasugi, Milnor, and {Levine-Tristram} knot signatures, all of which provide bounds on the 4-genus of a knot, are determined by {w(K).} More generally, the minimal rank of a representative of the class represented by {w(K)} in the Witt group of hermitian forms over Q(t) provides a lower bound for the 4-genus of K. Here we describe an easily computed new bound on the minimal rank of the class represented by {w(K).} Furthermore, this lower bound is complete modulo torsion in the Witt group. Specifically, if the bound on the rank is M, then {4w(K)} has a representative of rank exactly {4M.} Applications to explicit knots are given, finding 4-genus bounds for specific knots that are unattainable via other approaches.},
journal = {0912.1022},
author = {Charles Livingston},
month = dec,
year = {2009},
keywords = {{57M25,} Mathematics - Geometric Topology},
}
@article{math.GT/0307077,
title = {{A survey of classical knot concordance}},
author = {Charles Livingston},
}
@book {MR879117,
AUTHOR = {Biggs, Norman L. and Lloyd, E. Keith and Wilson, Robin J.},
TITLE = {Graph theory. 1736--1936},
EDITION = {Second},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1986},
PAGES = {xii+239},
ISBN = {0-19-853916-9},
MRCLASS = {01A60 (01A75 05-03 05Cxx)},
MRNUMBER = {879117 (88e:01035)},
MRREVIEWER = {W. T. Tutte},
}
@book {MR747303,
AUTHOR = {Looijenga, E. J. N.},
TITLE = {Isolated singular points on complete intersections},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {77},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1984},
PAGES = {xi+200},
ISBN = {0-521-28674-3},
MRCLASS = {32B30 (14B05)},
MRNUMBER = {747303 (86a:32021)},
MRREVIEWER = {Helmut Hamm},
DOI = {10.1017/CBO9780511662720},
URL = {http://dx.doi.org/10.1017/CBO9780511662720},
}
@article{pre05705438,
author="Lorenz, Falko and Roquette, Peter",
title="{On the Arf invariant in historical perspective.}",
language="English",
journal="Math. Semesterber. ",
volume="57",
number="1",
pages="73-102",
year="2010",
doi={10.1007/s00591-010-0072-8},
classmath="{*01-99 (History of mathematics and biography)
11-03 (Historical (number theory))
12-03 (Historical (field theory))",
}
@book {MR2290112,
AUTHOR = {Greuel, G.-M. and Lossen, C. and Shustin, E.},
TITLE = {Introduction to singularities and deformations},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2007},
PAGES = {xii+471},
ISBN = {978-3-540-28380-5; 3-540-28380-3},
MRCLASS = {32Sxx (14B05)},
MRNUMBER = {MR2290112 (2008b:32013)},
MRREVIEWER = {Vasile Br{\^{\i}}nz{\u{a}}nescu},
}
@article {MR1823315,
AUTHOR = {Leichtnam, Eric and Lott, John and Piazza, Paolo},
TITLE = {On the homotopy invariance of higher signatures for manifolds
with boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {54},
YEAR = {2000},
NUMBER = {3},
PAGES = {561--633},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58J22 (19K56 58J28 58J32)},
MRNUMBER = {MR1823315 (2002e:58040)},
MRREVIEWER = {John G. Miller},
}
@paper {MR2797019,
TITLE = {Mathematical lives},
AUTHOR = {Bartocci, Claudio and Betti, Renato and Guerraggio, Angelo and
Lucchetti, Roberto},
NOTE = {Protagonists of the twentieth century from Hilbert to Wiles,
Translated from the 2007 Italian original by Kim Williams},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2011},
PAGES = {xiv+238},
ISBN = {978-3-642-13605-4},
MRCLASS = {01-06 (01A70)},
MRNUMBER = {2797019 (2011k:01001)},
}
@article{lueck_non-connective_2013,
title = {Non-connective K- and Nil-spectra of additive
categorie},
url = {http://arxiv.org/abs/1303.1272},
abstract = {We present an elementary construction of the
non-connective algebraic K-theory spectrum associated to an
additive category following the contracted functor approach due
to Bass. It comes with a universal property that easily allows
us to identify it with other constructions, for instance with
the one of Pedersen-Weibel in terms of
Z{\textasciicircum}i-graded objects and bounded
homomorphisms.},
urldate = {2013-05-09},
journal = {{arXiv:1303.1272}},
author = {Lueck, Wolfgang and Steimle, Wolfgang},
month = mar,
year = {2013},
keywords = {{19D35}, Mathematics - K-Theory and Homology},
}
@book {MR1640104,
AUTHOR = {Luke, Glenys and Mishchenko, A. S.},
TITLE = {Vector bundles and their applications},
SERIES = {Mathematics and its Applications},
VOLUME = {447},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1998},
PAGES = {viii+254},
ISBN = {0-7923-5154-1},
MRCLASS = {55R25 (58G10)},
MRNUMBER = {MR1640104 (99m:55019)},
MRREVIEWER = {V. P. Snaith},
}
@book{0207.21704,
author="Lundell, A.T. and Weingram, S.",
title="{The topology of CW complexes.}",
language="English",
publisher="{The University Series in Higher Mathematics. New York etc.: Van
Nostrand Reinhold Company. VIII, 216 p. }",
year="1969",
classmath="{*57-01 (Textbooks (manifolds)), 57Q99 (PL-topology)}",
}
@book {MR1043633,
AUTHOR = {Freedman, Michael H. and Luo, Feng},
TITLE = {Selected applications of geometry to low-dimensional topology},
SERIES = {University Lecture Series},
VOLUME = {1},
NOTE = {Marker Lectures in the Mathematical Sciences held at The
Pennsylvania State University, University Park, Pennsylvania,
February 2--5, 1987},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1989},
PAGES = {xii+79},
ISBN = {0-8218-7000-9},
MRCLASS = {57-02 (53C20 57N13 57R30 57R55 58E11)},
MRNUMBER = {1043633 (91k:57002)},
MRREVIEWER = {Christopher W. Stark},
}
@article{luriePL,
AUTHOR={Lurie, Jacob},
TITLE={PL notes},
YEAR={2009},
}
@article{luriecobordism,
AUTHOR={Lurie, Jacob},
TITLE={On the classification of topological field theories},
YEAR={2010},
}
@article{luriesurgery,
AUTHOR={Lurie, Jacob},
TITLE={Surgery notes},
YEAR={2011},
}
@article {MR0246308,
AUTHOR = {Lusztig, G. and Milnor, John W. and Peterson, F. P.},
TITLE = {Semi-characteristics and cobordism},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {357--359},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {0246308 (39 \#7612)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0322889,
AUTHOR = {Lusztig, Gheorghe},
TITLE = {Novikov's higher signature and families of elliptic operators},
JOURNAL = {J. Differential Geometry},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {7},
YEAR = {1972},
PAGES = {229--256},
ISSN = {0022-040X},
MRCLASS = {57D65 (57D20 58G10)},
MRNUMBER = {MR0322889 (48 \#1250)},
MRREVIEWER = {Waldyr M. Oliva},
}
@article {MR0102539,
AUTHOR = {Chen, K.-T. and Fox, Ralph H. and Lyndon, R. C.},
TITLE = {Free differential calculus. {IV}. {T}he quotient groups of the
lower central series},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {81--95},
ISSN = {0003-486X},
MRCLASS = {20.00},
MRNUMBER = {MR0102539 (21 \#1330)},
MRREVIEWER = {R. H. Bruck},
}
@article {MR631944,
AUTHOR = {L{\"o}ffler, Peter and Ray, Nigel},
TITLE = {A geometrical proof of a theorem of {K}ahn and {P}riddy},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {The Journal of the London Mathematical Society. Second Series},
VOLUME = {24},
YEAR = {1981},
NUMBER = {2},
PAGES = {329--334},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {55N22 (55Q10)},
MRNUMBER = {MR631944 (83c:55007)},
MRREVIEWER = {Stewart B. Priddy},
}
@book{1062.55001,
author="L{\"u}ck, Wolfgang",
title="{Algebraic topology. Homology and manifolds. (Algebraische Topologie.
Homologie und Mannigfaltigkeiten.)}",
language="German",
publisher="{Vieweg Studium: Aufbaukurs Mathematik. Wiesbaden: Vieweg. ix, 266~p.
EUR~29.90 }",
year="2005",
abstract="{Der Plan des Buches ist eine Darstellung der algebraischen Topologie
(Homologie und Kohomologietheorie) auf axiomatischer Basis. Sein Anspruch
ist, f\"ur ein Selbststudium geeignet zu sein, wie auch seine Verwendung als
Grundlage f\"ur eine Vorlesung durch einen Dozenten.
Hieran muss es sich
messen lassen. Die Axiome unterscheiden sich von den klassischen durch die
Hinzuf\"ugung eines Axioms {\it disjunkte Vereinigung} (das mit dem
Verhalten einer Homologietheorie bei einer disjunkten Vereinigung von
topologischen R\"aumen zu tun hat). Als Ausschneidungsaxiom benutzt der
Autor die urspr\"ungliche Version von Eilenberg-Steenrod. Abgesehen vom
unmittelbaren Anfang beschr\"ankt sich der Autor sehr schnell auf
CW-R\"aume, Mannigfaltigkeiten und schlie{\ss}lich, woran ihm wohl am
meisten liegt, auf glatte Mannigfaltigkeiten. Der letzte Satz des Buches,
der bewiesen wird, ist der Satz von de Rham, den er (sicherlich zu Recht, es
gibt wenige gute Darstellungen dieses sch\"onen Resultats) als {\it eines
der Hauptergebnisse dieses Buches} bezeichnet. Hierzu axiomatisiert er {\it
glatte Kohomologietheorien}, f\"ur die er ein {\it Homotopieaxiom}, ein {\it
Mayer-Vietoris Axiom} (Existenz einer exakten Mayer-Vietoris Sequenz) sowie
ein {\it Aussch\"opfungsaxiom} fordert. Letzteres beinhaltet die Existenz
einer kurzen exakten Folge $$ 0 \longrightarrow
\underset{n\rightarrow\infty}\to{\text{invlim}^1}H^{m-1}(U_n)
\longrightarrow H^m(M)\longrightarrow
\underset{n\rightarrow\infty}\to{\text{invlim}} H^m (U_n) \longrightarrow 0
$$ $U_0 \subseteq U_1 \subseteq \dots \subseteq M$ eine aufsteigende Folge
von offenen Mengen, die gewissen Bedingungen gen\"ugt.\par Der Funktor
$\underset{n\rightarrow \infty}\to{\text{invlim}}^1$ ist schon im 6. Kapitel
eingef\"uhrt worden.
Der laufende Text von Definitionen, S\"atzen und
Beweisen wie auch, besonders in den letzten Kapiteln, gelungenen
Erl\"auterungen wird durch {\it Ausblicke} erg\"anzt, in denen beabsichtigt
wird, weitere Ergebnisse und Konstruktionen, die mit dem Vorgetragenen
zusammenh\"angen, aber \"uber den Rahmen des Buches hinausgehen, ohne
Beweise anzusprechen. Hierzu geh\"oren z.B. der gegenw\"artige Stand der
Poincar\'e Vermutung, mehrere differenzierbare Strukturen auf
Mannigfaltigkeiten, insbesondere die h\"ochst merkw\"urdige Situation auf
euklidischen R\"aumen $\Bbb R^n$ und Bordismentheorie. Das Buch hat 15
Kapitel und einen Anhang. Die letzten 3 Kapitel behandeln den Stokeschen
Satz, die de Rham Kohomologie und den de Rhamschen Satz. Sie sind sicher die
st\"arksten Kapitel des Buches. Auch bem\"uht sich der Autor erfolgreich,
alle Begriffe, die f\"ur glatte Mannigfaltigkeiten gebraucht werden, wie
auch die Theorie der Differentialformen, so wie er sie f\"ur den de
Rhamschen Satz ben\"otigt, nicht nur klar zu definieren sondern sie auch
hinreichend zu erl\"autern.
Das ganze ehrgeizige Vorhaben, ein solches
Buch zu verfassen, das simplizial beginnt und mit dem de Rhamschen Satz
endet, ist sinnvoll, es gelingt dem Autor am besten in den Kapiteln \"uber
glatte Mannigfaltigkeiten. Der Autor bringt viele klassische Resultate der
algebraischen Topologie, wie z.B. die Euler-Charakteristik, die
Lefschetz-Zahlen, die Poincar\'e Dualit\"at, den Satz von Borsuk-Ulam und
Produkte in der Kohomologie, wie auch zwischen Kohomologie und Homologie,
sowie deren Anwendung bei seinem Lieblingsbeispiel, den projektiven
R\"aumen.
Allerdings hat der Leser den Eindruck, dass den Autor
gelegentlich der Mut verl\"asst, wenn er mitten in einem Beweis abbricht und
anstatt den Beweis mit seinen Mitteln zu beenden, Betrachtungen, zu in der
Literatur vorhandenen, anderen, Beweisen anbietet (z.B. {Lemma 3.19,
Bemerkung 3.20, wie auch Lemma 8.46} und alle sich daraus ergebenden
Folgerungen, wo auf Resultate in einem {\it Ausblick} Bezug genommen wird).
In seinen Ausblicken (s. S. 82, {\it Ausblick 5.11}) werden gelegentlich
Begriffe benutzt, die nirgends in dem Buch auch nur erw\"ahnt werden, (wie
die Homotopiegruppen $\pi_k(X)$). Au{\ss}erdem ist (ebenfalls {\it Ausblick
5.11}) die Aussage, dass es {\it f\"ur beliebige topologische R\"aume} $X$
einen Isomorphismus \par $$ \tau(A,n): [X, K(A,n)]@>{\approx}>> H^n(X;A) $$
zwischen $ \breve H^n(X;A)=[X, K(A,n)]$ und der singul\"aren Kohomologie
$H^n(X;A)$ gibt, falsch. Die singul\"are Kohomologie ist nicht f\"ur alle
R\"aume zu der durch $ \breve H^n(X;A)=[X, K(A,n)]$ beschriebenen
Kohomologie isomorph. Diese ist tats\"achlich die \v Cechsche Kohomologie.
Letztere Kohomologie taucht \"ubrigens auch im {\it Ausblick 8.34} (ohne,
dass der Autor den Zusammenhang erw\"ahnt) in der Form $$
\underset{(U,V)\sqsupset (K,L)}\to{\text{dirlim}}H^p(U,V;R) $$ wieder auf,
$(U,V)$ ein offenes Paar, das das Paar $(K,L)$ enth\"alt. Die Tatsache, dass
die \v Cechsche Kohomologie sich durch direkten Limes von Kohomologie von
offenen Umgebungen ausdr\"ucken l\"asst, ist ein Satz (die {\it tautness
condition} von E. Spanier).
Die in {\it Ausblick 8.34} ohne Beweis
angegebene Form der Alexander Dualit\"at ist zwar f\"ur seine k\"unftigen
Anwendungen ausreichend, aber sie ist von der Form, wie sie schon vor
undenklichen Zeiten unsere Vorfahren (damals zu Recht!) begeistert h\"atte.
Heute ist Alexander Dualit\"at sehr viel besser verstanden und liegt als
Spezialfall von allgemeiner S-Dualit\"at vor. Da (im Gegensatz zu dem vom
Autor zitierten Buch von A. Dold) ohnehin hierzu nichts bewiesen wird,
h\"atte man vielleicht doch (auch im Hinblick auf die immer wieder
angesprochene Nutzung des Buches als Grundlage f\"ur eine Vorlesung) etwas
mehr zu erhoffen gewagt.
In {\it Bemerkung 5.36} wird der Leser dar\"uber
informiert, dass die Diagonalabbildung $D: X \longrightarrow X \times X$ von
sich aus nicht zellul\"ar ist. F\"ur den schlichten Leser, der keine
weitergehenden Informationen hat, ist dieses ein reines {\it Aha}-Erlebnis,
mit dem er nichts anfangen kann. Es wird ihm verschwiegen, dass dieses
Faktum die Basis f\"ur die Konstruktion der Steenrod-Squares ist, die von
gr\"o\ss ter Bedeutung in der algebraischen Topologie sind.
Auf S. 128
wird die Hopf Invariante definiert und in {\it Ausblick 7.8} werden locker
einige Eigenschaften dieser Hopf-Invarianten zusammengestellt. Der Leser
erf\"ahrt nicht, dass hierunter eine ist, die jahrzehntelang eine der gro\ss
en ungel\"osten Vermutungen der algebraischen Topologie (mit vielen
wichtigen Konsequenzen) war, bis sie mit gro\ss em Aufwand schlie\ss lich
vollst\"andig bewiesen werden konnte.
\"Ubrigens konnte man, wenn man
Zweifel hatte, Heinz Hopf (1894--1971) \"uberall auf der Welt dadurch
identifizieren, dass er der einzige Mensch war, der von der {\it
$\gamma$-Invarianten} und nicht von der {\it Hopf-Invarianten} sprach.}",
reviewer="{Friedrich Wilhelm Bauer (Frankfurt a. M.)}",
keywords="{de Rham theorem; cohomology theories; axioms; smooth cohomology
theories; duality; simplicity}",
classmath="{*55-01 (Textbooks (algebraic topology))
57-01 (Textbooks (manifolds))
55N40 (Axioms for homology theory and uniqueness theorems)
}",
}
@book {MR1027600,
AUTHOR = {L{\"u}ck, Wolfgang},
TITLE = {Transformation groups and algebraic {$K$}-theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1408},
NOTE = {Mathematica Gottingensis},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1989},
PAGES = {xii+443},
ISBN = {3-540-51846-0},
MRCLASS = {57Sxx (18F25 19-02 57Q10 57Q12)},
MRNUMBER = {MR1027600 (91g:57036)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1659969,
AUTHOR = {Davis, Jim and L{\"u}ck, Wolfgang},
TITLE = {Spaces over a category and assembly maps in isomorphism
conjectures in {$K$}- and {$L$}-theory},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {15},
YEAR = {1998},
NUMBER = {3},
PAGES = {201--252},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {55N20 (19D10)},
MRNUMBER = {MR1659969 (99m:55004)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR1705570,
TITLE = {Tel {A}viv {T}opology {C}onference: {R}othenberg
{F}estschrift},
SERIES = {Contemporary Mathematics},
VOLUME = {231},
AUTHOR = {Farber, Michael and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
NOTE = {Lectures from the International Conference held in Tel Aviv,
June 1--5, 1998},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {x+320},
ISBN = {0-8218-1362-5},
MRCLASS = {57-06 (00B30 55-06)},
MRNUMBER = {1705570 (2000c:57001)},
}
@article {MR1713205,
AUTHOR = {L{\"u}ck, Wolfgang},
TITLE = {The universal functorial {L}efschetz invariant},
NOTE = {Algebraic topology (Kazimierz Dolny, 1997)},
JOURNAL = {Fund. Math.},
FJOURNAL = {Fundamenta Mathematicae},
VOLUME = {161},
YEAR = {1999},
NUMBER = {1-2},
PAGES = {167--215},
ISSN = {0016-2736},
MRCLASS = {55M35 (19J99 57S17)},
MRNUMBER = {MR1713205 (2000i:55019)},
MRREVIEWER = {Frans Clauwens},
}
@article {MR1905836,
AUTHOR = {Leichtnam, Eric and L{\"u}ck, Wolfgang and Kreck, Matthias},
TITLE = {On the cut-and-paste property of higher signatures of a closed
oriented manifold},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {4},
PAGES = {725--744},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R20 (19K56 57R67)},
MRNUMBER = {MR1905836 (2003e:57045)},
MRREVIEWER = {John G. Miller},
}
@book {MR1926649,
AUTHOR = {L{\"u}ck, Wolfgang},
TITLE = {{$L\sp 2$}-invariants: theory and applications to geometry and
{$K$}-theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A
Series of Modern Surveys in Mathematics [Results in
Mathematics and Related Areas. 3rd Series. A Series of Modern
Surveys in Mathematics]},
VOLUME = {44},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2002},
PAGES = {xvi+595},
ISBN = {3-540-43566-2},
MRCLASS = {58J22 (19K56 46L80 57Q10 57R20 58J52)},
MRNUMBER = {MR1926649 (2003m:58033)},
MRREVIEWER = {Thomas Schick},
}
@article {MR2175154,
AUTHOR = {L{\"u}ck, Wolfgang},
TITLE = {{$K$}- and {$L$}-theory of the semi-direct product of the
discrete 3-dimensional {H}eisenberg group by {${\Bbb Z}/4$}},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {9},
YEAR = {2005},
PAGES = {1639--1676 (electronic)},
ISSN = {1465-3060},
MRCLASS = {19K35 (19A31 19B28 19D35 19G24)},
MRNUMBER = {2175154 (2006e:19007)},
MRREVIEWER = {Erik K. Pedersen},
DOI = {10.2140/gt.2005.9.1639},
URL = {http://dx.doi.org/10.2140/gt.2005.9.1639},
}
}
@article {MR2365652,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {On the {F}arrell-{J}ones conjecture and its applications},
JOURNAL = {J. Topol.},
FJOURNAL = {Journal of Topology},
VOLUME = {1},
YEAR = {2008},
NUMBER = {1},
PAGES = {57--86},
ISSN = {1753-8416},
MRCLASS = {19D55 (19A31 19B28)},
MRNUMBER = {MR2365652 (2008m:19001)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1112/jtopol/jtm008},
URL = {http://dx.doi.org/10.1112/jtopol/jtm008},
}
@article {MR2772544,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
TITLE = {On hyperbolic groups with spheres as boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {86},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--16},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57Mxx (19Lxx 20F67 53Cxx)},
MRNUMBER = {2772544},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1299766682},
}
@article {MR872812,
AUTHOR = {L{\"u}ck, Wolfgang},
TITLE = {The geometric finiteness obstruction},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {54},
YEAR = {1987},
NUMBER = {2},
PAGES = {367--384},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57Q12 (57Q91 57S99)},
MRNUMBER = {MR872812 (88i:57007)},
MRREVIEWER = {S{\"o}ren Illman},
}
@article {bl,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang},
TITLE = {The Borel conjecture for hyperbolic and $CAT(0)$-groups},
}
@article {blr,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {The K-theoretic Farrell-Jones conjecture for hyperbolic groups},
}
@article{dg-ga/9707009,
title = {{L^2-torsion of hyperbolic manifolds of finite volume}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{dg-ga/9707010,
title = {{Torsion and fibrations}},
author = {Wolfgang L{\"u}ck and Thomas Schick and Thomas Thielmann},
}
@article{dg-ga/9707011,
title = {{Dimension theory of arbitrary modules over finite von
Neumann algebras and applications to $L^2$-Betti numbers}},
author = {Wolfgang L{\"u}ck},
}
@article {falust1,
AUTHOR = {Farrell, F. T. and L{\"u}ck, Wolfgang and Steimle, W.},
TITLE = {Obstructions to fibering a manifold},
YEAR = {2009},
JOURNAL = {http://arxiv.org/abs/0901.1250},
}
@article{ic,
title = {{Isomorphism Conjectures in K- and L-Theory}},
author = {Wolfgang L{\"u}ck and Holger Reich},
}
@article{lueck_k-_2010,
title = {K- and L-theory of group rings},
url = {http://arxiv.org/abs/1003.5002},
abstract = {This article will explore the K- and L-theory of group rings and their applications to algebra, geometry and topology. The {Farrell-Jones} Conjecture characterizes K- and L-theory groups. It has many implications, including the Borel and Novikov Conjectures for topological rigidity. Its current status, and many of its consequences are surveyed.},
journal = {1003.5002},
author = {L{\"u}ck, Wolfgang},
month = mar,
year = {2010},
keywords = {Mathematics - Geometric Topology, Primary {18F25,} Secondary {57XX}},
}
@article{math.AT/0208162,
title = {{The equivariant Lefschetz fixed point theorem for proper
cocompact G-manifolds}},
author = {Wolfgang L{\"u}ck and Jonathan Rosenberg},
}
@article{math.AT/0212074,
title = {{The p-chain spectral sequence}},
author = {Jim Davis and Wolfgang L{\"u}ck},
}
@article{math.AT/0302116,
title = {{Commuting homotopy limits and smash products}},
author = {Wolfgang L{\"u}ck and Holger Reich and Marco Varisco},
howpublished = {K-Theory, 30 (2): 137--165, 2003},
}
@article{math.GR/0401312,
title = {{Groups of small homological dimension and the Atiyah
Conjecture}},
author = {Peter Kropholler and Peter Linnell and Wolfgang L{\"u}ck},
}
@article{math.GT/0110328,
title = {{Approximating L^2-signatures by their compact analogues}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{math.GT/0209161,
title = {{Various L2-signatures and a topological L2-signature theorem}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{math.GT/0310489,
title = {{L^2-Invariants from the Algebraic Point of View}},
author = {Wolfgang L{\"u}ck},
}
@article{math.GT/0312378,
title = {{Survey on Classifying Spaces for Families of Subgroups}},
author = {Wolfgang L{\"u}ck},
}
@article{math.GT/0401047,
title = {{Equivariant Cohomological Chern Characters}},
author = {Wolfgang L{\"u}ck},
}
@article{math.GT/0509238,
title = {{Topological rigidity for non-aspherical manifolds}},
author = {Matthias Kreck and Wolfgang L{\"u}ck},
eprint = {arXiv:math.GT/0509238},
}
@article{math.GT/9809011,
title = {{Novikov-Shubin invariants for arbitrary group actions and
their positivity}},
author = {Wolfgang L{\"u}ck and Holger Reich and Thomas Schick},
}
@article{math.KT/0208164,
title = {{Equivariant Euler characteristics and K-homology Euler
classes for proper cocompact G-manifolds}},
author = {Wolfgang L{\"u}ck and Jonathan Rosenberg},
journal = {Geom. Topol.},
volume = 7,
year = 2003,
pages = {569--613},
}
@article{math.KT/0402405,
title = {{The Baum-Connes and the Farrell-Jones Conjectures in K- and
L-Theory}},
author = {Wolfgang L{\"u}ck and Holger Reich},
}
@article{math.KT/0404486,
title = {{Induction Theorems and Isomorphism Conjectures for K- and
L-Theory}},
author = {Arthur Bartels and Wolfgang L{\"u}ck},
}
@article{math.KT/0407489,
title = {{Isomorphism Conjecture for homotopy K-theory and groups
acting on trees}},
author = {Arthur Bartels and Wolfgang L{\"u}ck},
}
@article{math.RA/0202027,
title = {{The Ore condition, affiliated operators, and the lamplighter
group}},
author = {Peter Linnell and Wolfgang L{\"u}ck and Thomas Schick},
howpublished = {Preprint Series SFB Geometrische Strukturen Muenster, no 205},
}
@book{nov,
AUTHOR = {Kreck, Matthias and L{\"u}ck, Wolfgang},
TITLE = {The Novikov conjecture. Geometry and algebra},
SERIES = {Oberwolfach Seminars 33},
PUBLISHER = {Birkh\"auser Basel},
YEAR = {2004},
}
@book {MR1433592,
AUTHOR = {L{\"u}tkepohl, H.},
TITLE = {Handbook of matrices},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1996},
PAGES = {xvi+304},
ISBN = {0-471-97015-8},
MRCLASS = {15-00},
MRNUMBER = {MR1433592 (97i:15001)},
}
@article {MR745152,
AUTHOR = {L{\"u}tzen, Jesper},
TITLE = {Sturm and {L}iouville's work on ordinary linear differential
equations. {T}he emergence of {S}turm-{L}iouville theory},
JOURNAL = {Arch. Hist. Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {29},
YEAR = {1984},
NUMBER = {4},
PAGES = {309--376},
ISSN = {0003-9519},
CODEN = {AHESAN},
MRCLASS = {01A55 (34-03 34B25)},
MRNUMBER = {745152 (85k:01026)},
MRREVIEWER = {J. Dieudonn{\'e}},
DOI = {10.1007/BF00348405},
URL = {http://dx.doi.org/10.1007/BF00348405},
}
@article {MR0021939,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Algebraic cohomology groups and loops},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {14},
YEAR = {1947},
PAGES = {435--463},
ISSN = {0012-7094},
MRCLASS = {20.0X},
MRNUMBER = {MR0021939 (9,132c)},
MRREVIEWER = {P. A. Smith},
}
@book {MR0156879,
AUTHOR = {MacLane, Saunders},
TITLE = {Homology},
SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Publishers, New York},
YEAR = {1963},
PAGES = {x+422},
MRCLASS = {18.20},
MRNUMBER = {MR0156879 (28 \#122)},
MRREVIEWER = {D. Buchsbaum},
}
@book {MR1712872,
AUTHOR = {MacLane, Saunders},
TITLE = {Categories for the working mathematician},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {5},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {xii+314},
ISBN = {0-387-98403-8},
MRCLASS = {18-02},
MRNUMBER = {1712872 (2001j:18001)},
}
@article {MR572580,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Intersection homology theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {19},
YEAR = {1980},
NUMBER = {2},
PAGES = {135--162},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N65 (55N45)},
MRNUMBER = {572580 (82b:57010)},
MRREVIEWER = {Laurence R. Taylor},
DOI = {10.1016/0040-9383(80)90003-8},
URL = {http://dx.doi.org/10.1016/0040-9383(80)90003-8},
}
@incollection {MR645745,
AUTHOR = {Cheeger, Jeff and Goresky, Mark and MacPherson, Robert},
TITLE = {{$L\sp{2}$}-cohomology and intersection homology of singular
algebraic varieties},
BOOKTITLE = {Seminar on {D}ifferential {G}eometry},
SERIES = {Ann. of Math. Stud.},
VOLUME = {102},
PAGES = {303--340},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1982},
MRCLASS = {58A14 (32J25 55N35 58A35)},
MRNUMBER = {MR645745 (84f:58005)},
MRREVIEWER = {Steven M. Zucker},
}
@article {MR696691,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Intersection homology. {II}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {72},
YEAR = {1983},
NUMBER = {1},
PAGES = {77--129},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57N80 (14F10 32C37 55N30)},
MRNUMBER = {696691 (84i:57012)},
MRREVIEWER = {Laurence R. Taylor},
DOI = {10.1007/BF01389130},
URL = {http://dx.doi.org/10.1007/BF01389130},
}
@book {MR932724,
AUTHOR = {Goresky, Mark and MacPherson, Robert},
TITLE = {Stratified {M}orse theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
in Mathematics and Related Areas (3)]},
VOLUME = {14},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1988},
PAGES = {xiv+272},
ISBN = {3-540-17300-5},
MRCLASS = {57R70 (14F45 32C10 32C42 57N80 58A35 58C27)},
MRNUMBER = {MR932724 (90d:57039)},
MRREVIEWER = {K. Lamotke},
}
@book {MR0242802,
AUTHOR = {Atiyah, M. F. and Macdonald, I. G.},
TITLE = {Introduction to commutative algebra},
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
Mills, Ont.},
YEAR = {1969},
PAGES = {ix+128},
MRCLASS = {13.00},
MRNUMBER = {MR0242802 (39 \#4129)},
MRREVIEWER = {J. A. Johnson},
}
@article {MR0089998,
AUTHOR = {Mackey, George W.},
TITLE = {Les ensembles bor\'eliens et les extensions des groupes},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {36},
YEAR = {1957},
PAGES = {171--178},
ISSN = {0021-7824},
MRCLASS = {22.0X},
MRNUMBER = {0089998 (19,752a)},
MRREVIEWER = {A. M. Gleason},
}
@article {MR2826928,
AUTHOR = {Crowley, Diarmuid and Macko, Tibor},
TITLE = {The additivity of the {$\rho$}-invariant and periodicity in
topological surgery},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {11},
YEAR = {2011},
NUMBER = {4},
PAGES = {1915--1959},
ISSN = {1472-2747},
MRCLASS = {57R65 (57S25)},
MRNUMBER = {2826928},
}
@article{kuehl_total_2011,
title = {The total surgery obstruction revisited},
url = {http://arxiv.org/abs/1104.5092},
abstract = {The total surgery obstruction of a finite
n-dimensional Poincare complex X is an element {s(X)} of a
certain abelian group S\_n {(X)} with the property that for n
{\textgreater}= 5 we have {s(X)} = 0 if and only if X is
homotopy equivalent to a closed n-dimensional topological
manifold. The definitions of S\_n {(X)} and {s(X)} and the
property are due to Ranicki in a combination of results of two
books and several papers. In this paper we present these
definitions and a detailed proof of the main result so that
they are in one place and we also add some of the details not
explicitly written down in the original sources.},
journal = {{arXiv:1104.5092}},
author = {Kuehl, Philipp and Macko, Tibor and Mole, Adam},
month = apr,
year = {2011},
keywords = {{57R67}, {(57P10)}, Mathematics - Algebraic
Topology, Mathematics - Geometric Topology},
}
@article {macko,
AUTHOR = {Macko, Tibor},
TITLE = {The block structure spaces of real projective spaces and orthogonal calculus of functors},
JOURNAL = {Trans. A.M.S.},
}
@article{math.AT/0703303,
title = {{The block structure spaces of real projective spaces and
orthogonal calculus of functors II}},
author = {Tibor Macko and Michael Weiss},
eprint = {arXiv:math.AT/0703303},
}
@incollection {MR0343286,
AUTHOR = {Madsen, Ib and Milgram, R. J.},
TITLE = {On spherical fiber bundles and their {${\rm PL}$} reductions},
BOOKTITLE = {New developments in topology ({P}roc. {S}ympos. {A}lgebraic
{T}opology, {O}xford, 1972)},
PAGES = {43--59. London Math. Soc. Lecture Note Ser., No. 11},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {London},
YEAR = {1974},
MRCLASS = {57C50 (57D10)},
MRNUMBER = {MR0343286 (49 \#8028)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0426003,
AUTHOR = {Madsen, Ib and Thomas, C. B. and Wall, C. T. C.},
TITLE = {The topological spherical space form problem. {II}.
{E}xistence of free actions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {15},
YEAR = {1976},
NUMBER = {4},
PAGES = {375--382},
ISSN = {0040-9383},
MRCLASS = {57E25},
MRNUMBER = {MR0426003 (54 \#13952)},
MRREVIEWER = {Laurence R. Taylor},
}
@book {MR1454127,
AUTHOR = {Madsen, Ib and Tornehave, J{\o}rgen},
TITLE = {From calculus to cohomology},
NOTE = {de Rham cohomology and characteristic classes},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1997},
PAGES = {viii+286},
ISBN = {0-521-58059-5; 0-521-58956-8},
MRCLASS = {57R19 (57R20 57R22 57R25 58A12)},
MRNUMBER = {1454127 (98g:57040)},
MRREVIEWER = {Mark V. Losik},
}
@article {MR2506750,
AUTHOR = {Galatius, S{\o}ren and Tillmann, Ulrike and Madsen, Ib and
Weiss, Michael},
TITLE = {The homotopy type of the cobordism category},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {202},
YEAR = {2009},
NUMBER = {2},
PAGES = {195--239},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {55Pxx (55Nxx)},
MRNUMBER = {MR2506750},
DOI = {10.1007/s11511-009-0036-9},
URL = {http://dx.doi.org/10.1007/s11511-009-0036-9},
}
@book {MR548575,
AUTHOR = {Madsen, Ib and Milgram, R. J.},
TITLE = {The classifying spaces for surgery and cobordism of manifolds},
SERIES = {Annals of Mathematics Studies},
VOLUME = {92},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1979},
PAGES = {xii+279},
ISBN = {0-691-08225-1},
MRCLASS = {57N70 (55P47 55R35 57Q60)},
MRNUMBER = {MR548575 (81b:57014)},
MRREVIEWER = {Yu. P. Solov{\cprime}ev},
}
@article {MR593058,
AUTHOR = {Madsen, Ib and Taylor, Laurence R. and Williams, Bruce},
TITLE = {Tangential homotopy equivalences},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {3},
PAGES = {445--484},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57N65 (55P10)},
MRNUMBER = {MR593058 (82f:57015)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR693039,
AUTHOR = {Madsen, Ib},
TITLE = {Reidemeister torsion, surgery invariants and spherical space
forms},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {46},
YEAR = {1983},
NUMBER = {2},
PAGES = {193--240},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (57Q10 57S17)},
MRNUMBER = {MR693039 (84h:57019)},
MRREVIEWER = {C. B. Thomas},
DOI = {10.1112/plms/s3-46.2.193},
URL = {http://dx.doi.org/10.1112/plms/s3-46.2.193},
}
@article {MR856148,
AUTHOR = {Hambleton, Ian and Madsen, Ib},
TITLE = {Local surgery obstructions and space forms},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {193},
YEAR = {1986},
NUMBER = {2},
PAGES = {191--214},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57R67 (18F25 19M05 57S17 57S25)},
MRNUMBER = {MR856148 (87k:57025)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR2109550,
AUTHOR = {Magnus, Wilhelm and Karrass, Abraham and Solitar, Donald},
TITLE = {Combinatorial group theory},
EDITION = {second},
NOTE = {Presentations of groups in terms of generators and relations},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {2004},
PAGES = {xii+444},
ISBN = {0-486-43830-9},
MRCLASS = {20E05 (05A15 20E06 20F12)},
MRNUMBER = {MR2109550 (2005h:20052)},
}
@article{Mag,
AUTHOR = {Magnus, Wilhelm},
TITLE = {Beziehungen zwischen Gruppen und Idealen in einen speziellen Ring},
JOURNAL = {Mathematische Annalen},
YEAR = {1935},
VOLUME = {111},
PAGES = {259--280},
}
@article {MR2136675,
AUTHOR = {Grenier-Boley, N. and Mahmoudi, M. G.},
TITLE = {Exact sequences of {W}itt groups},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {965--986},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {11E81 (16K20)},
MRNUMBER = {MR2136675 (2006a:11050)},
MRREVIEWER = {Stefan Gille},
}
@article {MR819908,
AUTHOR = {Mahony, Louis M.},
TITLE = {Topological continued fractions},
JOURNAL = {Portugal. Math.},
FJOURNAL = {Portugaliae Mathematica},
VOLUME = {42},
YEAR = {1983/84},
NUMBER = {3},
PAGES = {287--291 (1985)},
ISSN = {0032-5155},
CODEN = {POMAAJ},
MRCLASS = {11E12 (11A55 40A15 57R65)},
MRNUMBER = {MR819908 (87i:11046)},
MRREVIEWER = {Hale F. Trotter},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@article {MALCOLM2,
AUTHOR = {Malcolmson, P.},
TITLE = {Algebraic closure operators and constructions in ring theory},
}
@article {MALCOLMSON,
AUTHOR = {Malcolmson, P.},
TITLE = {Construction of universal matrix localizations},
BOOKTITLE = {Advances in Non-commutative Ring Theory (Pittsburgh, 1981)},
SERIES = {Lecture Notes in Math.},
VOLUME = {951},
PAGES = {117--131},
YEAR = {1981},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
}
@article {MR2353164,
AUTHOR = {Mallion, R. B.},
TITLE = {The six (or seven) bridges of {K}aliningrad: a personal
{E}ulerian walk, 2006},
JOURNAL = {MATCH Commun. Math. Comput. Chem.},
FJOURNAL = {MATCH. Communications in Mathematical and in Computer
Chemistry},
VOLUME = {58},
YEAR = {2007},
NUMBER = {3},
PAGES = {529--556},
ISSN = {0340-6253},
MRCLASS = {05-03 (01A55 01A60 05C45)},
MRNUMBER = {MR2353164 (2008i:05001)},
MRREVIEWER = {Robin J. Wilson},
}
@article {MR1902888,
AUTHOR = {Mandell, Michael A.},
TITLE = {Cochain multiplications},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {124},
YEAR = {2002},
NUMBER = {3},
PAGES = {547--566},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {55U15 (18G35 55N40)},
MRNUMBER = {MR1902888 (2003c:55026)},
MRREVIEWER = {David A. Blanc},
}
@article {MR2233853,
AUTHOR = {Mandell, Michael A.},
TITLE = {Cochains and homotopy type},
JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
FJOURNAL = {Publications Math\'ematiques. Institut de Hautes \'Etudes
Scientifiques},
NUMBER = {103},
YEAR = {2006},
PAGES = {213--246},
ISSN = {0073-8301},
MRCLASS = {55P15 (55N10 55P60)},
MRNUMBER = {2233853 (2007d:55009)},
MRREVIEWER = {Donald Yau},
DOI = {10.1007/s10240-006-0037-6},
URL = {http://dx.doi.org/10.1007/s10240-006-0037-6},
}
@book {MR1438306,
AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.},
TITLE = {Methods of homological algebra},
NOTE = {Translated from the 1988 Russian original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {xviii+372},
ISBN = {3-540-54746-0},
MRCLASS = {18-02 (18Exx 18Gxx 55U35)},
MRNUMBER = {MR1438306 (97j:18001)},
}
@article{manolescu_pin2-equivariant_2013,
title = {Pin(2)-equivariant Seiberg-Witten Floer homology
and the Triangulation Conjecture},
url = {http://arxiv.org/abs/1303.2354},
abstract = {We define Pin(2)-equivariant Seiberg-Witten
Floer homology for rational homology 3-spheres equipped with a
spin structure. The analogue of Froyshov's correction term in
this setting is an integer-valued invariant of homology
cobordism whose mod 2 reduction is the Rokhlin invariant. As an
application, we show that there are no homology 3-spheres Y of
Rokhlin invariant one such that Y \# Y bounds an acyclic smooth
4-manifold. By previous work of Galewski-Stern and Matumoto,
this implies the existence of non-triangulable high-dimensional
manifolds.},
urldate = {2013-05-10},
journal = {{arXiv:1303.2354}},
author = {Manolescu, Ciprian},
month = mar,
year = {2013},
keywords = {{57R58}, {57Q15}, {57M27}, Mathematics -
Algebraic Topology, Mathematics - Geometric Topology},
}
@book {MR836534,
AUTHOR = {Garcia-Herreros Mantilla, Eduardo},
TITLE = {Semitriviale {E}rweiterungen und generalisierte
{M}atrizenringe},
SERIES = {Algebra Berichte [Algebra Reports]},
VOLUME = {54},
PUBLISHER = {Verlag Reinhard Fischer},
ADDRESS = {Munich},
YEAR = {1986},
PAGES = {xiii+111},
ISBN = {3-88927-026-3},
MRCLASS = {16A56 (16A62)},
MRNUMBER = {MR836534 (87e:16064)},
MRREVIEWER = {Jonathan Golan},
}
@article {MR919236,
AUTHOR = {Manton, N. S.},
TITLE = {Connections on discrete fibre bundles},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {113},
YEAR = {1987},
NUMBER = {2},
PAGES = {341--351},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {81E13 (53C05 53C80 55R25 81E25)},
MRNUMBER = {919236 (89a:81075)},
MRREVIEWER = {Nicholas M. J. Woodhouse},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104160217},
}
@book {manuarjaggard,
AUTHOR = {Manuar, Omar and Jaggard, Dwight},
TITLE = {Knots, symmetry and scattering},
JOURNAL = {IEEE Transactions on Antennas and Propagation},
YEAR = {2001},
PAGES = {1299-1304},
}
@article {MR2097126,
AUTHOR = {Falbel, Elisha and Marco, Jean-Pierre and Schaffhauser,
Florent},
TITLE = {Classifying triples of {L}agrangians in a {H}ermitian vector
space},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {144},
YEAR = {2004},
NUMBER = {1-3},
PAGES = {1--27},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {53D12 (22F05 37J05 57S25)},
MRNUMBER = {MR2097126 (2005h:53136)},
MRREVIEWER = {Kenro Furutani},
DOI = {10.1016/j.topol.2003.08.027},
URL = {http://dx.doi.org/10.1016/j.topol.2003.08.027},
}
@article {MR575072,
AUTHOR = {Marcum, Howard J.},
TITLE = {Fibrations over double mapping cylinders},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {24},
YEAR = {1980},
NUMBER = {2},
PAGES = {344--358},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {55P99 (55R05)},
MRNUMBER = {575072 (81j:55011)},
MRREVIEWER = {R. M. Vogt},
URL = {http://projecteuclid.org/getRecord?id=euclid.ijm/1256047727},
}
@article {MR577773,
AUTHOR = {Marcum, Howard J. and Randall, Duane},
TITLE = {The homotopy {T}hom class of a spherical fibration},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {80},
YEAR = {1980},
NUMBER = {2},
PAGES = {353--358},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55R05 (55Q15 57R20)},
MRNUMBER = {577773 (81k:55026)},
MRREVIEWER = {C. S. Hoo},
DOI = {10.2307/2042976},
URL = {http://dx.doi.org/10.2307/2042976},
}
@article {MR631665,
AUTHOR = {Marcum, Howard J.},
TITLE = {Two results on cofibers},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {95},
YEAR = {1981},
NUMBER = {1},
PAGES = {133--142},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {55P40},
MRNUMBER = {631665 (84b:55013)},
URL = {http://projecteuclid.org/getRecord?id=euclid.pjm/1102735535},
}
@incollection {MR1674915,
AUTHOR = {Marde{\v{s}}i{\'c}, Sibe},
TITLE = {Absolute neighborhood retracts and shape theory},
BOOKTITLE = {History of topology},
PAGES = {241--269},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {54-03 (54C55 54C56 55-03 55P55)},
MRNUMBER = {MR1674915 (2000h:54002)},
DOI = {10.1016/B978-044482375-5/50010-9},
URL = {http://dx.doi.org/10.1016/B978-044482375-5/50010-9},
}
@paper{mapping,
AUTHOR = {Farb, Benson and Margalit, Dan},
TITLE = {A primer on mapping class groups},
YEAR = {2010},
}
@article {MR045124,
AUTHOR = {Marin, Alexis},
TITLE = {Topological transversality},
}
@book {MR900243,
TITLE = {\`{A} la recherche de la topologie perdue},
SERIES = {Progress in Mathematics},
VOLUME = {62},
AUTHOR = {Guillou, Lucien and Marin, Alexis},
NOTE = {I. Du c{\^o}t{\'e} de chez Rohlin. II. Le c{\^o}t{\'e} de
Casson. [I. Rokhlin's way. II. Casson's way]},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1986},
PAGES = {xxiv+244},
ISBN = {0-8176-3329-4},
MRCLASS = {57-02 (01A70 01A75 57-03 57N13 57R19 57R20 57S17)},
MRNUMBER = {MR900243 (88k:57002)},
MRREVIEWER = {Christopher W. Stark},
}
@incollection {MR900247,
AUTHOR = {Guillou, Lucien and Marin, Alexis},
TITLE = {Une extension d'un th\'eor\`eme de {R}ohlin sur la signature},
BOOKTITLE = {\`{A} la recherche de la topologie perdue},
SERIES = {Progr. Math.},
VOLUME = {62},
PAGES = {97--118},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1986},
MRCLASS = {57N13 (57R10)},
MRNUMBER = {900247},
}
@article {MR1885588,
AUTHOR = {Mark, Thomas},
TITLE = {Torsion, {TQFT}, and {S}eiberg-{W}itten invariants of
3-manifolds},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {6},
YEAR = {2002},
PAGES = {27--58 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R56 (57Q10 57R57)},
MRNUMBER = {1885588 (2003c:57032)},
MRREVIEWER = {Bai-Ling Wang},
DOI = {10.2140/gt.2002.6.27},
URL = {http://dx.doi.org/10.2140/gt.2002.6.27},
}
@article{marks_ring_2012,
title = {From ring epimorphisms to universal localisations},
url = {http://arxiv.org/abs/1207.4669},
abstract = {For a fixed ring, different classes of ring epimorphisms and localisation maps are compared. In fact, we provide sufficient conditions for a ring epimorphism to be a universal localisation. Furthermore, we consider recollements induced by some homological ring epimorphisms and investigate whether they yield recollements of derived module categories.},
urldate = {2013-05-10},
journal = {{arXiv:1207.4669}},
author = {Marks, Frederik and Vitoria, Jorge},
month = jul,
year = {2012},
keywords = {{16E35}, {16S85}, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article {MR1553954,
AUTHOR = {Barth, W. and Martin, R. S. and Wilkinson, J. H.},
TITLE = {Handbook {S}eries {L}inear {A}lgebra: {C}alculation of the
eigenvalues of a symmetric tridiagonal matrix by the method of
bisection},
JOURNAL = {Numer. Math.},
FJOURNAL = {Numerische Mathematik},
VOLUME = {9},
YEAR = {1967},
NUMBER = {5},
PAGES = {386--393},
ISSN = {0029-599X},
CODEN = {NUMMA7},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1553954},
}
@article {martin,
AUTHOR={Martin, R.D.},
TITLE = {Abstract nilgroups of finite abelian groups},
Notes={1970's Columbia thesis},
}
@article {MR2175812,
AUTHOR = {Marzantowicz, Wac{\l}aw and Prieto, Carlos},
TITLE = {Computation of the equivariant 1-stem},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {63},
YEAR = {2005},
NUMBER = {4},
PAGES = {513--524},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {55Q55 (55P91)},
MRNUMBER = {MR2175812 (2006k:55024)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR1329450,
AUTHOR = {Masbaum, G. and Roberts, Justin},
TITLE = {On central extensions of mapping class groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {302},
YEAR = {1995},
NUMBER = {1},
PAGES = {131--150},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N05 (57M99)},
MRNUMBER = {MR1329450 (96i:57013)},
MRREVIEWER = {Shigeyuki Morita},
DOI = {10.1007/BF01444490},
URL = {http://dx.doi.org/10.1007/BF01444490},
}
@article {MR1362791,
AUTHOR = {Blanchet, C. and Habegger, N. and Masbaum, G. and Vogel, Pierre},
TITLE = {Topological quantum field theories derived from the {K}auffman
bracket},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {4},
PAGES = {883--927},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N10 (57M25 81T40)},
MRNUMBER = {MR1362791 (96i:57015)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1016/0040-9383(94)00051-4},
URL = {http://dx.doi.org/10.1016/0040-9383(94)00051-4},
}
@article {MR1387228,
AUTHOR = {Blanchet, C. and Masbaum, G.},
TITLE = {Topological quantum field theories for surfaces with spin
structure},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {82},
YEAR = {1996},
NUMBER = {2},
PAGES = {229--267},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57M25 (16W30 57M30 81R50)},
MRNUMBER = {1387228 (97e:57005)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1215/S0012-7094-96-08211-3},
URL = {http://dx.doi.org/10.1215/S0012-7094-96-08211-3},
}
@article{gilmer_maslov_2009,
title = {Maslov index, Lagrangians, Mapping Class Groups and {TQFT}},
url = {http://arxiv.org/abs/0912.4706},
abstract = {Given a mapping class f of an oriented surface Sigma and a lagrangian lambda in the first homology of Sigma, we define an integer n\_{lambda}(f) modulo 4. We use n\_{lambda}(f) to describe a universal central extension of the mapping class group of Sigma as an index-four subgroup of the extension constructed from the Maslov index of triples of lagrangian subspaces in the homology of the surface. We give two formulas for n\_{lambda}(f). One is topological using surgery, the other is homological and builds on work of Turaev and work of Walker. Some applications to {TQFT} are discussed. They are based on the fact that our construction allows one to precisely describe how the phase factors that arise in the skein theory approach to {TQFT-representations} of the mapping class group depend on the choice of a lagrangian for the surface.},
journal = {0912.4706},
author = {Patrick Gilmer and Masbaum, G.},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@book{0653.35002,
author="Maslov, V.P.",
title="{Asymptotic methods and perturbation theory. (Asimptoticheskie metody i
teoriya vozmushchenij.)}",
language="Russian",
publisher="{Moskva: Nauka. 312 p., R. 2.60 }",
year="1988",
abstract="{This book contains a description of the basic results of the author's
investigations on asymptotic methods for solving a large class of problems
in physics, mechanics, and informatics. Perturbation theory may be
considered independently also as an instrument, applied for making precise
and for establishing asymptotic formulae. A lot of examples in this book
permit the reader to recognize the great possibilities of asymptotic methods
which are shown in their close connection with characteristic properties and
a specification of the considered problem. The author was awarded with
Lenin's medal due to this work in 1986. \par This book is intended for
specialists in the fields of mathematics, physics, mechanics as well as for
senior students and graduate students. \par The bibliography amounts to 152
papers. \par Contents: Part I: Perturbation theory. Ch. 1. Behavior of
eigenfunctions at infinity and perturbation theory for equations with
operator coefficients. Ch. 2. Strong convergence of solutions of operator
equations. Ch. 3. Perturbations of one-parameter semigroups of operators and
perturbations of evolution equations. Ch. 4. Weak convergence of operators.
\par Part II. Theory of characteristics in the large and asymptotical
methods in theory of differential equations with operator coefficients. Ch.
1. Statement of a problem. Ch. 2. A canonical operator. Ch. 3. Asymptotics
of solutions of partial differential equations. Ch. 4. Equations with
operator coefficients. Ch. 5. Characteristic representation in the small for
wave equations. Ch. 6. Asymptotics in the small of partial differential
operator equations. Ch. 7. Asymptotics in the large of solutions of abstract
equations. Ch. 8. Quasiclassical formulae for global solutions of equations
of quantum mechanics. Ch. 9. Asymptotics of solutions of equations of tunnel
type. Supplement. Asymptotics of the solution of Cauchy problem for
evolution equations with fast-decreasing initial values.}",
reviewer="{J.H.Tian}",
keywords="{asymptotic methods; perturbation theory; Perturbation; one-parameter
semigroups; operator coefficients; representation; Quasiclassical formulae;
global solutions; Cauchy problem; evolution equations}",
classmath="{*35-02 (Research monographs (partial differential equations))
35C20 (Asymptotic expansions of solutions of PDE)
35B40 (Asymptotic behavior of solutions of PDE)
35B20 (Perturbations (PDE))
35Q99 (PDE of mathematical physics and other areas)
}",
}
@article {MR2306217,
AUTHOR = {Manzoli Neto, Oziride and Massago, Sadao and Saeki, Osamu},
TITLE = {Open book structures on {$(n-1)$}-connected
{$(2n+1)$}-manifolds},
JOURNAL = {J. Math. Sci. Univ. Tokyo},
FJOURNAL = {The University of Tokyo. Journal of Mathematical Sciences},
VOLUME = {13},
YEAR = {2006},
NUMBER = {4},
PAGES = {439--523},
ISSN = {1340-5705},
MRCLASS = {57Q45 (57R65)},
MRNUMBER = {MR2306217 (2008i:57029)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR0038654,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {I}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {53},
YEAR = {1951},
PAGES = {161--205},
MRCLASS = {56.0X},
MRNUMBER = {MR0038654 (12,435e)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0044836,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {II}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {55},
YEAR = {1952},
PAGES = {192--201},
MRCLASS = {56.0X},
MRNUMBER = {MR0044836 (13,485f)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0058971,
AUTHOR = {Blakers, A. L. and Massey, W. S.},
TITLE = {The homotopy groups of a triad. {III}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {58},
YEAR = {1953},
PAGES = {409--417},
MRCLASS = {56.0X},
MRNUMBER = {MR0058971 (15,458b)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0109351,
AUTHOR = {Massey, W. S.},
TITLE = {On the normal bundle of a sphere imbedded in {E}uclidean
space},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {10},
YEAR = {1959},
PAGES = {959--964},
ISSN = {0002-9939},
MRCLASS = {57.00},
MRNUMBER = {MR0109351 (22 \#237)},
MRREVIEWER = {Sze-Tsen Hu},
}
@article {MR0111053,
AUTHOR = {Massey, W. S.},
TITLE = {On the {S}tiefel-{W}hitney classes of a manifold},
JOURNAL = {Amer. J. Math.},
VOLUME = {82},
YEAR = {1960},
PAGES = {92--102},
MRCLASS = {57.00},
MRNUMBER = {MR0111053 (22 \#1918)},
MRREVIEWER = {F. P. Peterson},
}
@article {MR0142129,
AUTHOR = {Massey, W. S.},
TITLE = {On the {S}tiefel-{W}hitney classes of a manifold. {II}},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {13},
YEAR = {1962},
PAGES = {938--942},
MRCLASS = {57.32},
MRNUMBER = {MR0142129 (25 \#5522)},
MRREVIEWER = {F. P. Peterson},
}
@article {MR0250332,
AUTHOR = {Massey, W. S.},
TITLE = {Pontryagin squares in the {T}hom space of a bundle},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {31},
YEAR = {1969},
PAGES = {133--142},
ISSN = {0030-8730},
MRCLASS = {57.32},
MRNUMBER = {MR0250332 (40 \#3571)},
MRREVIEWER = {M. Mahowald},
}
@article {MR0341511,
AUTHOR = {Massey, W. S.},
TITLE = {The quotient space of the complex projective plane under
conjugation is a {$4$}-sphere},
JOURNAL = {Geometriae Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {2},
YEAR = {1973},
PAGES = {371--374},
ISSN = {0046-5755},
MRCLASS = {57E25 (57E30)},
MRNUMBER = {0341511 (49 \#6262)},
MRREVIEWER = {H.-T. Ku},
}
@book {MR1095046,
AUTHOR = {Massey, W. S.},
TITLE = {A basic course in algebraic topology},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {127},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xvi+428},
ISBN = {0-387-97430-X},
MRCLASS = {55-02 (57-02)},
MRNUMBER = {MR1095046 (92c:55001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@article {MR2122215,
AUTHOR = {Deloup, Florian and Massuyeau, Gwenael},
TITLE = {Quadratic functions and complex spin structures on
three-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {44},
YEAR = {2005},
NUMBER = {3},
PAGES = {509--555},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R15 (57M27)},
MRNUMBER = {2122215 (2005j:57033)},
MRREVIEWER = {Rostislav Matveyev},
DOI = {10.1016/j.top.2004.11.003},
URL = {http://dx.doi.org/10.1016/j.top.2004.11.003},
}
@article {MR2132877,
AUTHOR = {Deloup, Florian and Massuyeau, Gwenael},
TITLE = {Quadratic functions on torsion groups},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {198},
YEAR = {2005},
NUMBER = {1-3},
PAGES = {105--121},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {11E39 (11E81)},
MRNUMBER = {2132877 (2005m:11061)},
MRREVIEWER = {Andrzej S{\l}adek},
DOI = {10.1016/j.jpaa.2004.10.011},
}
@article{massuyeau_introduction_2010,
title = {An introduction to the abelian Reidemeister torsion of three-dimensional manifolds},
url = {http://arxiv.org/abs/1003.2517},
abstract = {These notes accompanied lectures given at the autumn school {"Groupes} de tresses et topologie en petite dimension" held in Pau in October 2009. The abelian Reidemeister torsion for 3-manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.},
journal = {1003.2517},
author = {Massuyeau, Gwenael},
month = mar,
year = {2010},
keywords = {{57M27,} {57N10,} {57M05,} {57M10,} Mathematics - Geometric Topology},
}
@article {Mathernotes,
AUTHOR = {Mather, John},
TITLE = {Notes on topological stability (1970)},
}
@article {MR0176470,
AUTHOR = {Mather, Michael},
TITLE = {Counting homotopy types of manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1965},
PAGES = {93--94},
ISSN = {0040-9383},
MRCLASS = {55.40},
MRNUMBER = {MR0176470 (31 \#742)},
MRREVIEWER = {D. B. A. Epstein},
}
@article {MR1426683,
AUTHOR = {Fantham, Peter and James, I. M. and Mather, Michael},
TITLE = {On the reduced product construction},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {39},
YEAR = {1996},
NUMBER = {4},
PAGES = {385--389},
ISSN = {0008-4395},
CODEN = {CMBUA3},
MRCLASS = {55P15 (55P35 55P91)},
MRNUMBER = {MR1426683 (97m:55010)},
}
@article {MR0245597,
AUTHOR = {Mathis, Robert F.},
TITLE = {Completion of a symmetric unitary matrix},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {11},
YEAR = {1969},
PAGES = {261--263},
ISSN = {0036-1445},
MRCLASS = {15.30},
MRNUMBER = {MR0245597 (39 \#6903)},
MRREVIEWER = {W. Ledermann},
}
@book {MR1988723,
AUTHOR = {Matou{\v{s}}ek, Ji{\v{r}}{\'{\i}}},
TITLE = {Using the {B}orsuk-{U}lam theorem},
SERIES = {Universitext},
NOTE = {Lectures on topological methods in combinatorics and geometry,
Written in cooperation with Anders Bj{\"o}rner and G{\"u}nter
M. Ziegler},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {xii+196},
ISBN = {3-540-00362-2},
MRCLASS = {55-01 (05-01 52-01 52A35 55M20)},
MRNUMBER = {MR1988723 (2004i:55001)},
MRREVIEWER = {Zdzis{\l}aw Dzedzej},
}
@article{math.GT/07093153,
title = {{Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows}},
author = {Hiroshi Goda and Hiroshi Matsuda and A.V. Pajitnov},
eprint = {arXiv:math.GT/0709.3153},
}
@article {MR682687a,
AUTHOR = {Matsumoto, Yukio},
TITLE = {On {$4$}-manifolds fibered by tori},
JOURNAL = {Proc. Japan Acad. Ser. A Math. Sci.},
FJOURNAL = {Japan Academy. Proceedings. Series A. Mathematical Sciences},
VOLUME = {58},
YEAR = {1982},
NUMBER = {7},
PAGES = {298--301},
ISSN = {0386-2194},
CODEN = {PJAADT},
MRCLASS = {57N13 (32J15)},
MRNUMBER = {682687 (84j:57010a)},
MRREVIEWER = {Anatoly Libgober},
URL = {http://projecteuclid.org/euclid.pja/1195515921},
}
@article {MR682687b,
AUTHOR = {Matsumoto, Yukio},
TITLE = {On {$4$}-manifolds fibered by tori II},
}
@article {MR714668,
AUTHOR = {Yamada, Akio and Matsumoto, Yukio},
TITLE = {Network induction and resolution diagrams of the {B}rieskorn
singularities},
JOURNAL = {Sci. Papers College Arts Sci. Univ. Tokyo},
FJOURNAL = {Scientific Papers of the College of Arts and Sciences. The
University of Tokyo},
VOLUME = {33},
YEAR = {1983},
NUMBER = {1},
PAGES = {7--32},
ISSN = {0040-8964},
MRCLASS = {32C45 (14B05 14E15)},
MRNUMBER = {MR714668 (84k:32015)},
MRREVIEWER = {Shigeki Ohyanagi},
}
@article {MR738843,
AUTHOR = {Yamada, Akio and Matsumoto, Yukio},
TITLE = {On the resolution diagrams of the {B}rieskorn singularities
{$(2,\,q,\,r)$} of type {${\rm II}$}},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {35},
YEAR = {1983},
NUMBER = {6},
PAGES = {1049--1058},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57N99 (14B05 32C45)},
MRNUMBER = {MR738843 (85h:57020)},
MRREVIEWER = {W. D. Neumann},
}
@article {MR0437456,
AUTHOR = {Matumoto, Takao},
TITLE = {On the signature invariants of a non-singular complex
sesquilinear form},
JOURNAL = {J. Math. Soc. Japan},
VOLUME = {29},
YEAR = {1977},
NUMBER = {1},
PAGES = {67--71},
MRCLASS = {10C05 (57D20 57C45)},
MRNUMBER = {MR0437456 (55 \#10386)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR489573,
AUTHOR = {Matumoto, Takao and Siebenmann, L. C.},
TITLE = {The topological {$s$}-cobordism theorem fails in dimension
{$4$} or {$5$}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {84},
YEAR = {1978},
NUMBER = {1},
PAGES = {85--87},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57N75},
MRNUMBER = {MR489573 (80b:57012)},
MRREVIEWER = {J. W. Vick},
DOI = {10.1017/S0305004100054918},
URL = {http://dx.doi.org/10.1017/S0305004100054918},
}
@incollection {MR520517,
AUTHOR = {Matumoto, Takao},
TITLE = {Triangulation of manifolds},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {3--6},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57Q15},
MRNUMBER = {520517 (80e:57019)},
MRREVIEWER = {N. Martin},
}
@article{matumotothesis,
author={Matumoto, Takao},
Title={Varietes simpliciales d'homologie et varietes
topologiques metrisables},
year={1976},
}
@book {MR0222893,
AUTHOR = {de Rham, G. and Maumary, S. and Kervaire, M.},
TITLE = {Torsion et type simple d'homotopie},
SERIES = {Expos\'es faits au s\'eminaire de Topologie de l'Universit\'e
de Lausanne. Lecture Notes in Mathematics, No. 48},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1967},
PAGES = {iii+101},
MRCLASS = {55.40},
MRNUMBER = {MR0222893 (36 \#5943)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0266210,
AUTHOR = {Maumary, S.},
TITLE = {Contributions \`a la th\'eorie du type simple d'homotopie},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {44},
YEAR = {1969},
PAGES = {410--437},
MRCLASS = {55.40},
MRNUMBER = {MR0266210 (42 \#1117)},
MRREVIEWER = {A. H. Clark},
}
@incollection {MR0377938,
AUTHOR = {Maumary, S.},
TITLE = {Proper surgery groups and {W}all-{N}ovikov groups},
BOOKTITLE = {Algebraic {$K$}-theory, {III}: {H}ermitian {$K$}-theory and
geometric applications ({P}roc. {C}onf., {B}attelle {M}emorial
{I}nst., {S}eattle, {W}ash., 1972)},
PAGES = {526--539. Lecture Notes in Math, Vol. 343},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1973},
MRCLASS = {57D65},
MRNUMBER = {0377938 (51 \#14107)},
MRREVIEWER = {Laurence Taylor},
}
@article{Maumary1972,
AUTHOR = {Maumary, S.},
TITLE = {Proper surgery groups for non-compact manifolds of finite dimension},
YEAR = {1972},
}
@article {MR0275463,
AUTHOR = {Maunder, C. R. F.},
TITLE = {On the {P}ontrjagin classes of homology manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {10},
YEAR = {1971},
PAGES = {111--118},
ISSN = {0040-9383},
MRCLASS = {57.30 (55.00)},
MRNUMBER = {MR0275463 (43 \#1217)},
MRREVIEWER = {J. P. Levine},
}
@book {MR1402473,
AUTHOR = {Maunder, C. R. F.},
TITLE = {Algebraic topology},
NOTE = {Reprint of the 1980 edition},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {1996},
PAGES = {viii+375},
ISBN = {0-486-69131-4},
MRCLASS = {55-01},
MRNUMBER = {MR1402473 (97c:55001)},
}
@article {MR2372895,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera and characteristic classes of complex algebraic
varieties},
JOURNAL = {Electron. Res. Announc. Math. Sci.},
FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
VOLUME = {15},
YEAR = {2008},
PAGES = {1--7},
ISSN = {1935-9179},
MRCLASS = {32S35 (14D07 32S60 55N33)},
MRNUMBER = {MR2372895 (2009c:32055)},
MRREVIEWER = {Markus Banagl},
}
@article {MR2376848,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson,
Julius L.},
TITLE = {Hodge genera of algebraic varieties. {I}},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {61},
YEAR = {2008},
NUMBER = {3},
PAGES = {422--449},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {14F43 (14C35 14F05 19E20)},
MRNUMBER = {MR2376848 (2009f:14039)},
MRREVIEWER = {Jyh-Haur Teh},
DOI = {10.1002/cpa.20202},
URL = {http://dx.doi.org/10.1002/cpa.20202},
}
@incollection {MR2454349,
AUTHOR = {Maxim, Laurentiu and Schuermann, Joerg},
TITLE = {Hodge-theoretic {A}tiyah-{M}eyer formulae and the stratified
multiplicative property},
BOOKTITLE = {Singularities {I}},
SERIES = {Contemp. Math.},
VOLUME = {474},
PAGES = {145--166},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {32S35 (14D07 32S60 55N33 57R20 57R45)},
MRNUMBER = {MR2454349 (2010e:32029)},
MRREVIEWER = {Shoji Yokura},
}
@article {MR2507108,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson, Julius
L.},
TITLE = {Equivariant genera of complex algebraic varieties},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2009},
NUMBER = {11},
PAGES = {2013--2037},
ISSN = {1073-7928},
MRCLASS = {32J25 (14D07 14F43 14L30 32S60)},
MRNUMBER = {MR2507108 (2010e:32016)},
MRREVIEWER = {Markus Banagl},
@article {MR543555,
AUTHOR = {Durfee, Alan},
TITLE = {Fifteen characterizations of rational double points and simple
critical points},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {25},
YEAR = {1979},
NUMBER = {1-2},
PAGES = {131--163},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {14B05 (32B30 32C40 57Q45 58C27)},
MRNUMBER = {MR543555 (80m:14003)},
MRREVIEWER = {P. Orlik},
}
@article {MR2545873,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera of algebraic varieties. {II}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {345},
YEAR = {2009},
NUMBER = {4},
PAGES = {925--972},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {14C30 (58Jxx)},
MRNUMBER = {MR2545873},
DOI = {10.1007/s00208-009-0389-6},
URL = {http://dx.doi.org/10.1007/s00208-009-0389-6},
}
@book {MR1669161,
AUTHOR = {Maxwell, James Clerk},
TITLE = {A treatise on electricity and magnetism. {V}ol. 2},
SERIES = {Oxford Classic Texts in the Physical Sciences},
NOTE = {Reprint of the third (1891) edition},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {xxiv+507},
ISBN = {0-19-850374-1},
MRCLASS = {01A75 (01A55 78-03 78A25)},
MRNUMBER = {MR1669161 (99k:01087b)},
}
@book {MR1673643,
AUTHOR = {Maxwell, James Clerk},
TITLE = {A treatise on electricity and magnetism. {V}ol. 1},
SERIES = {Oxford Classic Texts in the Physical Sciences},
NOTE = {With prefaces by W. D. Niven and J. J. Thomson,
Reprint of the third (1891) edition},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {xxxii+521},
ISBN = {0-19-850373-3},
MRCLASS = {01A75 (01A55 78-03 78A25)},
MRNUMBER = {MR1673643 (99k:01087a)},
}
@article {maxwell1,
AUTHOR = {Maxwell, James Clerk},
TITLE = {On governors},
JOURNAL = {Proc. Roy. Soc. Lond.},
VOLUME = {16},
YEAR = {1867},
PAGES = {270--283},
}
@article {maxwell2,
AUTHOR = {Maxwell, James Clerk},
TITLE = {On hills and dales},
JOURNAL = {Philosophical Magazine},
VOLUME = {4},
YEAR = {1870},
PAGES = {223--240},
}
@article {MR0370579,
AUTHOR = {May, J. Peter},
TITLE = {Classifying spaces and fibrations},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {1},
YEAR = {1975},
NUMBER = {1, 155},
PAGES = {xiii+98},
ISSN = {0065-9266},
MRCLASS = {55F15 (57F20)},
MRNUMBER = {0370579 (51 \#6806)},
MRREVIEWER = {Harold Hastings},
}
@book {MR0420610,
AUTHOR = {May, J. Peter},
TITLE = {The geometry of iterated loop spaces},
NOTE = {Lectures Notes in Mathematics, Vol. 271},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1972},
PAGES = {viii+175},
MRCLASS = {55D35},
MRNUMBER = {MR0420610 (54 \#8623b)},
MRREVIEWER = {J. Stasheff},
}
@book {MR0436146,
AUTHOR = {Cohen, F. R. and Lada, Thomas J. and May, J. Peter},
TITLE = {The homology of iterated loop spaces},
SERIES = {Lecture Notes in Mathematics, Vol. 533},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1976},
PAGES = {vii+490},
MRCLASS = {55G25 (55D35)},
MRNUMBER = {0436146 (55 \#9096)},
MRREVIEWER = {Peter J. Eccles},
}
@book {MR0494077,
AUTHOR = {May, J. Peter},
TITLE = {{$E_{\infty }$} ring spaces and {$E_{\infty }$} ring
spectra},
SERIES = {Lecture Notes in Mathematics, Vol. 577},
NOTE = {With contributions by Frank Quinn, Nigel Ray, and J{\o}rgen
Tornehave},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1977},
PAGES = {268},
MRCLASS = {55D35},
MRNUMBER = {0494077 (58 \#13008)},
MRREVIEWER = {J. Stasheff},
}
@book {MR1413302,
AUTHOR = {May, J. Peter and Costenoble, S. R.},
TITLE = {Equivariant homotopy and cohomology theory},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {91},
NOTE = {With contributions by M. Cole, G. Comeza\tilde na, S.
Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis,
Jr., R. J. Piacenza, G. Triantafillou, and S. Waner},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1996},
PAGES = {xiv+366},
ISBN = {0-8218-0319-0},
MRCLASS = {55P91 (18G99 55N91 55U35)},
MRNUMBER = {MR1413302 (97k:55016)},
MRREVIEWER = {Ian Hambleton},
}
@book {MR1702278,
AUTHOR = {May, J. Peter},
TITLE = {A concise course in algebraic topology},
SERIES = {Chicago Lectures in Mathematics},
PUBLISHER = {University of Chicago Press},
ADDRESS = {Chicago, IL},
YEAR = {1999},
PAGES = {x+243},
ISBN = {0-226-51182-0; 0-226-51183-9},
MRCLASS = {55-02 (18-02 57-02)},
MRNUMBER = {MR1702278 (2000h:55002)},
MRREVIEWER = {R. M. Vogt},
}
@incollection {MR1721119,
AUTHOR = {May, J. Peter},
TITLE = {Stable algebraic topology, 1945--1966},
BOOKTITLE = {History of topology},
PAGES = {665--723},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {55-03 (55P42)},
MRNUMBER = {MR1721119 (2000m:55002)},
MRREVIEWER = {Marc Aubry},
}
@article {MR1988072,
AUTHOR = {Fausk, H. and Hu, P. and May, J. Peter},
TITLE = {Isomorphisms between left and right adjoints},
JOURNAL = {Theory Appl. Categ.},
FJOURNAL = {Theory and Applications of Categories},
VOLUME = {11},
YEAR = {2003},
PAGES = {No. 4, 107--131 (electronic)},
ISSN = {1201-561X},
MRCLASS = {18D10 (14A10 55U35)},
MRNUMBER = {MR1988072 (2004d:18006)},
MRREVIEWER = {Gabriele Vezzosi},
}
@article {MR1988073,
AUTHOR = {May, J. Peter},
TITLE = {The {W}irthm\"uller isomorphism revisited},
JOURNAL = {Theory Appl. Categ.},
FJOURNAL = {Theory and Applications of Categories},
VOLUME = {11},
YEAR = {2003},
PAGES = {No. 5, 132--142 (electronic)},
ISSN = {1201-561X},
MRCLASS = {55P42 (55P91)},
MRNUMBER = {MR1988073 (2004m:55012)},
}
@article {MR719669,
AUTHOR = {Caruso, J. and Cohen, F. R. and May, J. Peter and Taylor, Laurence R.},
TITLE = {James maps, {S}egal maps, and the {K}ahn-{P}riddy theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {281},
YEAR = {1984},
NUMBER = {1},
PAGES = {243--283},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (18F25 19L64 55P47 55Q05 55Q25 55S15)},
MRNUMBER = {MR719669 (86g:55007)},
MRREVIEWER = {Ralph L. Cohen},
}
@book {MR866482,
AUTHOR = {Lewis, L. G. and May, J. Peter and Steinberger, M. and
McClure, James},
TITLE = {Equivariant stable homotopy theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1213},
NOTE = {With contributions by J. E. McClure},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1986},
PAGES = {x+538},
ISBN = {3-540-16820-6},
MRCLASS = {55-02 (55Nxx 55Pxx 57S99)},
MRNUMBER = {MR866482 (88e:55002)},
MRREVIEWER = {T. tom Dieck},
}
@book{may,
TITLE = {Parametrized homotopy theory},
AUTHOR = {J. Peter May and J. Sigurdsson},
}
@article {mayfin,
AUTHOR = {May, J. Peter},
TITLE = {Finite topological spaces},
}
@article {maysimpcx,
AUTHOR = {May, J. Peter},
TITLE = {Finite spaces and simplicial complexes},
}
@book {MR0229251,
AUTHOR = {Hirzebruch, F. and Mayer, K. H.},
TITLE = {{${\rm O}(n)$}-{M}annigfaltigkeiten, exotische {S}ph\"aren und
{S}ingularit\"aten},
SERIES = {Lecture Notes in Mathematics, No. 57},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1968},
PAGES = {iv+132},
MRCLASS = {57.31},
MRNUMBER = {MR0229251 (37 \#4825)},
MRREVIEWER = {C. B. Thomas},
}
@article {MR1549669,
AUTHOR = {Mayer, Walther},
TITLE = {\"{U}ber abstrakte {T}opologie},
JOURNAL = {Monatsh. Math. Phys.},
FJOURNAL = {Monatshefte f\"ur Mathematik und Physik},
VOLUME = {36},
YEAR = {1929},
NUMBER = {1},
PAGES = {1--42},
ISSN = {0026-9255},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1549669},
}
@article {MR1549682,
AUTHOR = {Mayer, Walther},
TITLE = {Abstrakte {T}opologie {II}},
JOURNAL = {Monatsh. Math. Phys.},
FJOURNAL = {Monatshefte f\"ur Mathematik und Physik},
VOLUME = {36},
YEAR = {1929},
NUMBER = {1},
PAGES = {219--258},
ISSN = {0026-9255},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1549682},
}
@article {Alexander,
AUTHOR = {Mazur, Barry},
TITLE = {Remarks on the Alexander polynomial},
YEAR = {1963/4},
}
@article {MR0150786,
AUTHOR = {Mazur, Barry},
TITLE = {Relative neighborhoods and the theorems of {S}male},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {77},
YEAR = {1963},
PAGES = {232--249},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {MR0150786 (27 \#773)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0202124,
AUTHOR = {Mazur, Barry},
TITLE = {Combinatorial equivalence versus topological equivalence},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {111},
YEAR = {1964},
PAGES = {288--316},
ISSN = {0002-9947},
MRCLASS = {54.78},
MRNUMBER = {MR0202124 (34 \#1998)},
MRREVIEWER = {R. K. Lashof},
}
@book {MR0415630,
AUTHOR = {Hirsch, Morris W. and Mazur, Barry},
TITLE = {Smoothings of piecewise linear manifolds},
NOTE = {Annals of Mathematics Studies, No. 80},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1974},
PAGES = {ix+134},
MRCLASS = {57D10},
MRNUMBER = {MR0415630 (54 \#3711)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article {mazurkiewicz,
author={Mazurkiewicz, St.},
title={Un th\'eor\`eme sur les lignes de Jordan.},
journal={Fundamenta math.},
volume={2},
pages={119-130},
year={1921},
}
@article {MR1445554,
AUTHOR = {Hassell, Andrew and Mazzeo, Rafe and Melrose, Richard B.},
TITLE = {A signature formula for manifolds with corners of codimension
two},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {36},
YEAR = {1997},
NUMBER = {5},
PAGES = {1055--1075},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58G10 (58G20)},
MRNUMBER = {MR1445554 (98c:58163)},
MRREVIEWER = {Gilles Carron},
}
@article {albin1-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, I. Index classes},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.1568},
year = {2009},
}
@article {albin2-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, II. Higher signatures},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.0888v1},
year = {2009},
}
@article {MR2111015,
AUTHOR = {Mazzoleni, Amedeo},
TITLE = {Partially defined cocycles and the {M}aslov index for a local
ring},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {54},
YEAR = {2004},
NUMBER = {4},
PAGES = {875--885},
ISSN = {0373-0956},
CODEN = {AIFUA7},
MRCLASS = {20J06 (11E08)},
MRNUMBER = {MR2111015 (2005h:20119)},
MRREVIEWER = {Maurizio Brunetti},
URL = {http://aif.cedram.org/item?id=AIF_2004__54_4_875_0},
}
@book {MR1030042,
AUTHOR = {Akbulut, Selman and McCarthy, John D.},
TITLE = {Casson's invariant for oriented homology {$3$}-spheres},
SERIES = {Mathematical Notes},
VOLUME = {36},
NOTE = {An exposition},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1990},
PAGES = {xviii+182},
ISBN = {0-691-08563-3},
MRCLASS = {57N10 (57M25)},
MRNUMBER = {MR1030042 (90k:57017)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR2852978,
AUTHOR = {Calcut, Jack and Gompf, Robert E. and McCarthy, John D.},
TITLE = {On fundamental groups of quotient spaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {159},
YEAR = {2012},
NUMBER = {1},
PAGES = {322--330},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {55Q05 (54B15)},
MRNUMBER = {2852978 (2012j:55015)},
MRREVIEWER = {Fabio Ferrari Ruffino},
DOI = {10.1016/j.topol.2011.09.038},
URL = {http://dx.doi.org/10.1016/j.topol.2011.09.038},
}
@article{lindenstrauss_algebraic_2010,
title = {On the algebraic K-theory of formal power series},
url = {http://arxiv.org/abs/1010.6040},
journal = {1010.6040},
author = {Ayelet Lindenstrauss and Randy McCarthy},
month = oct,
year = {2010},
keywords = {{19D50} {19D35,} {19D55,} {16E20,} Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@book {MR1793722,
AUTHOR = {McCleary, John},
TITLE = {A user's guide to spectral sequences},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {58},
EDITION = {Second},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2001},
PAGES = {xvi+561},
ISBN = {0-521-56759-9},
MRCLASS = {55Txx (18G40)},
MRNUMBER = {MR1793722 (2002c:55027)},
MRREVIEWER = {Frank Neumann},
}
@book {MR2218695,
AUTHOR = {McCleary, John},
TITLE = {A first course in topology},
SERIES = {Student Mathematical Library},
VOLUME = {31},
NOTE = {Continuity and dimension},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2006},
PAGES = {xii+211},
ISBN = {0-8218-3884-9},
MRCLASS = {54-01 (54C05 54F45 55-01)},
MRNUMBER = {MR2218695 (2006k:54001)},
}
@article {MR2255502,
AUTHOR = {McClure, J. E.},
TITLE = {On the chain-level intersection pairing for {PL} manifolds},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {10},
YEAR = {2006},
PAGES = {1391--1424},
ISSN = {1465-3060},
MRCLASS = {57Q65},
MRNUMBER = {2255502 (2007f:57048)},
MRREVIEWER = {David Chataur},
DOI = {10.2140/gt.2006.10.1391},
URL = {http://dx.doi.org/10.2140/gt.2006.10.1391},
}
@book {MR866482,
AUTHOR = {Lewis, L. G. and May, J. Peter and Steinberger, M. and
McClure, James},
TITLE = {Equivariant stable homotopy theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1213},
NOTE = {With contributions by J. E. McClure},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1986},
PAGES = {x+538},
ISBN = {3-540-16820-6},
MRCLASS = {55-02 (55Nxx 55Pxx 57S99)},
MRNUMBER = {MR866482 (88e:55002)},
MRREVIEWER = {T. tom Dieck},
}
@article{friedman_cup_2011,
title = {Cup and cap products in intersection (co)homology},
url = {http://arxiv.org/abs/1106.4799},
abstract = {We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincare duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.},
journal = {1106.4799},
author = {Friedman, Greg and McClure, James},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology, Primary: {55N33}, {55N45}, Secondary: {57N80}, {55M05}},
}
@article{friedman_symmetric_2011,
title = {The symmetric signature of a Witt space},
url = {http://arxiv.org/abs/1106.4798},
abstract = {Witt spaces are pseudomanifolds for which the middle-perversity intersection homology with rational coefficients is self-dual. We give a new construction of the symmetric signature for Witt spaces which is similar in spirit to the construction given by Miscenko for manifolds. Our construction has all of the expected properties, including invariance under stratified homotopy equivalence.},
journal = {1106.4798},
author = {Friedman, Greg and McClure, James},
month = jun,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology, Primary: {55N33}, {57R67}, Secondary: {57N80}, {19J25}, {19G24}},
}
@article{math.AT/09072367,
title = {Multiplicative properties of Quinn spectra},
author = {Gerd Laures and James McClure},
eprint = {arXiv:math.AT/0907.2367},
}
@article{laures_commutativity_2013,
title = {Commutativity properties of Quinn spectra},
url = {http://arxiv.org/abs/1304.4759},
abstract = {We give a simple sufficient condition for Quinn's "bordism-type" spectra to be weakly equivalent to commutative symmetric ring spectra. We also show that the symmetric signature is (up to weak equivalence) a monoidal transformation between symmetric monoidal functors, which implies that the Sullivan-Ranicki orientation of topological bundles is represented by a ring map between commutative symmetric ring spectra. In the course of proving these statements we give a new description of symmetric L theory which may be of independent interest.},
urldate = {2013-05-11},
journal = {{arXiv:1304.4759}},
author = {Laures, Gerd and McClure, James E.},
month = apr,
year = {2013},
keywords = {{55P43}, {57R67}, {57P10}, Mathematics - Algebraic Topology},
}
@article {MR0196744,
AUTHOR = {McCord, Michael C.},
TITLE = {Singular homology groups and homotopy groups of finite
topological spaces},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {33},
YEAR = {1966},
PAGES = {465--474},
ISSN = {0012-7094},
MRCLASS = {55.40},
MRNUMBER = {MR0196744 (33 \#4930)},
MRREVIEWER = {Robert E. Stong},
}
@article {MR0216499,
AUTHOR = {McCord, Michael C.},
TITLE = {Homotopy type comparison of a space with complexes associated
with its open covers},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {18},
YEAR = {1967},
PAGES = {705--708},
ISSN = {0002-9939},
MRCLASS = {55.40},
MRNUMBER = {MR0216499 (35 \#7332)},
MRREVIEWER = {A. Dold},
}
@article {MR0400243,
AUTHOR = {McCrory, Clint},
TITLE = {Cone complexes and {PL} transversality},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {207},
YEAR = {1975},
PAGES = {269--291},
ISSN = {0002-9947},
MRCLASS = {57C25},
MRNUMBER = {MR0400243 (53 \#4078)},
MRREVIEWER = {Brian Sanderson},
}
@article {MR0445506,
AUTHOR = {McCrory, Clint},
TITLE = {A characterization of homology manifolds},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {16},
YEAR = {1977},
NUMBER = {1},
PAGES = {149--159},
ISSN = {0024-6107},
MRCLASS = {57B10},
MRNUMBER = {MR0445506 (56 \#3846)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article {MR530047,
AUTHOR = {McCrory, Clint},
TITLE = {Zeeman's filtration of homology},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {250},
YEAR = {1979},
PAGES = {147--166},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55M05 (55N10 55N45 55T99 57N80 57P99 57T99)},
MRNUMBER = {MR530047 (81b:55002)},
MRREVIEWER = {Jack Weinstein},
}
@article {MR545605,
AUTHOR = {Blanton, John D. and McCrory, Clint},
TITLE = {An axiomatic proof of {S}tiefel's conjecture},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {77},
YEAR = {1979},
NUMBER = {3},
PAGES = {409--414},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55R40 (57R20)},
MRNUMBER = {MR545605 (80k:55052)},
MRREVIEWER = {E. C. Turner},
DOI = {10.2307/2042195},
URL = {http://dx.doi.org/10.2307/2042195},
}
@article {mmccrory3,
AUTHOR = {McCrory, Clint},
TITLE = {Poincare duality in spaces with singularities},
JOURNAL = {Brandeis thesis},
YEAR = {1972},
}
@article {MR0402733,
AUTHOR = {McDuff, Dusa and Segal, Graeme},
TITLE = {Homology fibrations and the ``group-completion'' theorem},
JOURNAL = {Invent. Math.},
VOLUME = {31},
YEAR = {1975/76},
NUMBER = {3},
PAGES = {279--284},
MRCLASS = {55D45},
MRNUMBER = {MR0402733 (53 \#6547)},
MRREVIEWER = {Harold Hastings},
}
@incollection {MR1429901,
AUTHOR = {Lalonde, Fran{\c{c}}ois and McDuff, Dusa},
TITLE = {Positive paths in the linear symplectic group},
BOOKTITLE = {The {A}rnold-{G}elfand mathematical seminars},
PAGES = {361--387},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1997},
MRCLASS = {58F05 (58F19)},
MRNUMBER = {MR1429901 (97m:58077)},
MRREVIEWER = {Karl Friedrich Siburg},
}
@book {MR1698616,
AUTHOR = {McDuff, Dusa and Salamon, Dietmar},
TITLE = {Introduction to symplectic topology},
SERIES = {Oxford Mathematical Monographs},
EDITION = {Second},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {x+486},
ISBN = {0-19-850451-9},
MRCLASS = {53D35 (53D40 57R17 57R57 57R58)},
MRNUMBER = {MR1698616 (2000g:53098)},
MRREVIEWER = {Hansj{\"o}rg Geiges},
}
@article {MR1218310,
AUTHOR = {McIntyre, Margaret and Cairns, Grant},
TITLE = {A new formula for winding number},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {46},
YEAR = {1993},
NUMBER = {2},
PAGES = {149--159},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {55M25 (57N05)},
MRNUMBER = {MR1218310 (94k:55005)},
}
@book {MR0298698,
AUTHOR = {Lopez de Medrano, Santiago},
TITLE = {Involutions on manifolds},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 59},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1971},
PAGES = {ix+103},
MRCLASS = {57E30},
MRNUMBER = {0298698 (45 \#7747)},
MRREVIEWER = {M. L. Curtis},
}
@incollection {MR0420640,
AUTHOR = {Lopez de Medrano, Santiago},
TITLE = {Invariant knots and surgery in codimension 2},
BOOKTITLE = {Actes du {C}ongr\`es {I}nternational des {M}ath\'ematiciens
({N}ice, 1970), {T}ome 2},
PAGES = {99--112},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1971},
MRCLASS = {57C45 (57D60 57E25)},
MRNUMBER = {0420640 (54 \#8653)},
}
@article {mishchenko_bordisms_2011,
title = {Bordisms of manifolds with proper action of a
discrete group: signatures and descriptions of
{\$G\$-bundles}},
shorttitle = {Bordisms of manifolds with proper action of a
discrete group},
url = {http://arxiv.org/abs/1112.2104},
abstract = {In this work the equivariant signature of a
manifold with proper action of a discrete group is defined as
an invariant of equivariant bordisms. It is shown that the
computation of this signature can be reduced to its computation
on fixed points sets equipped with their tubular neighborhoods.
It is given a description of the equivariant vector bundles
with action of a discrete group {\$G\$} for the case when the
action over the base is proper quasi-free, i.e. the stationary
subgroup of any point is finite. The description is given in
terms of some classifying space.},
journal = {{arXiv:1112.2104}},
author = {Mishchenko, A. S. and Melendez, Quitzeh Morales},
month = dec,
year = {2011},
keywords = {{55R91}, {57S25}, {19L47}, Mathematics -
Algebraic Topology, Mathematics - {K-Theory} and Homology},
LOCALPDF ="../../papers/mishmora.pdf",
}
@article{melikhov_uniform_2011,
title = {Uniform polyhedra: old and new},
shorttitle = {Uniform polyhedra},
url = {http://arxiv.org/abs/1109.0346},
abstract = {We develop a theory of metric polyhedra, including locally infinite dimensional ones. Motivated by algebraic topology, we focus on their uniform properties (i.e., those preserved by homeomorphisms that are uniformly continuous in both directions) but in doing so we also study their metric and Lipschitz properties. On the combinatorial side, (the face posets of) simplicial or cubical complexes do not suffice for this, and we have to rework some basic {PL} topology into a purely combinatorial machinery (with all homeomorphisms eliminated in favor of combinatorial isomorphisms) based on posets and their canonical subdivision (which is just the poset of all order intervals of the given poset, ordered by inclusion). Antecedents of this approach to {PL} topology are found in van Kampen's 1929 dissertation and in modern Topological Combinatorics. Our main results establish, in particular, close but troubled relations between uniform polyhedra and uniform {ANRs}, and appear to provide a satisfactory solution to an open-ended problem raised by J. R. Isbell in a series of publications in 1959-64.},
journal = {{arXiv:1109.0346}},
author = {Melikhov, Sergey A},
month = sep,
year = {2011},
keywords = {Mathematics - Combinatorics, Mathematics - General Topology, Mathematics - Geometric Topology, Mathematics - Metric Geometry},
}
@article{mellor,
AUTHOR = {Mellor, Blake},
TITLE = {Spin^c manifolds},
YEAR = {1995},
}
@book {MR1348401,
AUTHOR = {Melrose, Richard B.},
TITLE = {The {A}tiyah-{P}atodi-{S}inger index theorem},
SERIES = {Research Notes in Mathematics},
VOLUME = {4},
PUBLISHER = {A K Peters Ltd.},
ADDRESS = {Wellesley, MA},
YEAR = {1993},
PAGES = {xiv+377},
ISBN = {1-56881-002-4},
MRCLASS = {58G10 (58G15 58G25)},
MRNUMBER = {MR1348401 (96g:58180)},
MRREVIEWER = {Rafe Mazzeo},
}
@article {MR1445554,
AUTHOR = {Hassell, Andrew and Mazzeo, Rafe and Melrose, Richard B.},
TITLE = {A signature formula for manifolds with corners of codimension
two},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {36},
YEAR = {1997},
NUMBER = {5},
PAGES = {1055--1075},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58G10 (58G20)},
MRNUMBER = {MR1445554 (98c:58163)},
MRREVIEWER = {Gilles Carron},
}
@article{1983,
jstor_articletype = {primary_article},
title = {Algebraic Knots are Algebraically Dependent},
author = {Livingston, Charles and Melvin, Paul},
journal = {Proceedings of the American Mathematical Society},
jstor_issuetitle = {},
volume = {87},
number = {1},
jstor_formatteddate = {Jan. - Apr., 1983},
pages = {179--180},
url = {http://www.jstor.org/stable/2044377},
ISSN = {00029939},
abstract = {Algebraic knots are linearly dependent in $G_-$, the algebraic knot concordance group. An example of a linear relation between four algebraic knots is constructed.},
language = {},
year = {1983},
publisher = {American Mathematical Society},
copyright = {Copyright � 1983 American Mathematical Society},
}
@article {MR1275766,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Dedekind sums, {$\mu$}-invariants and the signature cocycle},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {299},
YEAR = {1994},
NUMBER = {2},
PAGES = {231--267},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {11F20 (57M25 57N12 57N13)},
MRNUMBER = {MR1275766 (95h:11042)},
MRREVIEWER = {Terry Lawson},
}
@inproceedings {MR1701641,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Canonical framings for {$3$}-manifolds},
BOOKTITLE = {Proceedings of 6th {G}\"okova {G}eometry-{T}opology
{C}onference},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {23},
YEAR = {1999},
NUMBER = {1},
PAGES = {89--115},
ISSN = {1300-0098},
MRCLASS = {57R25 (57M27)},
MRNUMBER = {1701641 (2000k:57026)},
MRREVIEWER = {Hugh M. Hilden},
}
@inproceedings {MR2172485,
AUTHOR = {Kirby, Rob and Melvin, Paul},
TITLE = {Local surgery formulas for quantum invariants and the {A}rf
invariant},
BOOKTITLE = {Proceedings of the {C}asson {F}est},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {7},
PAGES = {213--233 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2004},
MRCLASS = {57M27 (68Q17)},
MRNUMBER = {MR2172485 (2006g:57023)},
MRREVIEWER = {Lorenzo Traldi},
}
@book {MR1632779,
AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
Tignol, Jean-Pierre},
TITLE = {The book of involutions},
SERIES = {American Mathematical Society Colloquium Publications},
VOLUME = {44},
NOTE = {With a preface in French by J. Tits},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xxii+593},
ISBN = {0-8218-0904-0},
MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
MRNUMBER = {MR1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}
@article{grishanov_topological1_2009,
title = {A Topological Study of Textile Structures. Part {II:} Topological Invariants in Application to Textile Structures},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part {II}},
url = {http://trj.sagepub.com/cgi/content/abstract/79/9/822},
doi = {10.1177/0040517508096221},
abstract = {This paper is the second in the series on topological classification of textile structures. The classification problem can be resolved with the aid of invariants used in knot theory for classification of knots and links. Various numerical and polynomial invariants are considered in application to textile structures. A new Kauffman-type polynomial invariant is constructed for doubly-periodic textile structures. The values of the numerical and polynomial invariants are calculated for some simplest doubly-periodic interlaced structures and for some woven and knitted textiles.},
number = {9},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = jun,
year = {2009},
pages = {822--836},
}
@article{grishanov_topological2_2009,
title = {A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part I},
url = {http://trj.sagepub.com/cgi/content/abstract/79/8/702},
doi = {10.1177/0040517508095600},
abstract = {This paper proposes a new systematic approach for the description and classification of textile structures based on topological principles. It is shown that textile structures can be considered as a specific case of knots or links and can be represented by diagrams on a torus. This enables modern methods of knot theory to be applied to the study of the topology of textiles. The basics of knot theory are briefly introduced. Some specific matters relating to the application of these methods to textiles are discussed, including enumeration of textile structures and topological invariants of doubly-periodic structures.},
number = {8},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = may,
year = {2009},
pages = {702--713},
}
@book {MR2204709,
AUTHOR = {Messer, Robert and Straffin, Philip},
TITLE = {Topology now!},
SERIES = {Classroom Resource Materials Series},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {2006},
PAGES = {xii+240},
ISBN = {0-88385-744-8},
MRCLASS = {57-01},
MRNUMBER = {MR2204709 (2006i:57001)},
}
@incollection {mexico,
AUTHOR = {Mexico, Symposium},
TITLE = {Symposium internacional de topolog\'\i a algebraica
{I}nternational symposi um on algebraic topology},
PUBLISHER = {Universidad Nacional Aut\'onoma de M\'exico and UNESCO, Mexico
City},
YEAR = {1958},
MRCLASS = {55.00},
MRNUMBER = {0103472 (21 \#2240)},
MRREVIEWER = {H. Samelson},
}
@article {MR0104643,
AUTHOR = {Meyer, C.},
TITLE = {\"{U}ber einige {A}nwendungen {D}edekindscher {S}ummen},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {198},
YEAR = {1957},
PAGES = {143--203},
ISSN = {0075-4102},
MRCLASS = {10.00},
MRNUMBER = {MR0104643 (21 \#3396)},
MRREVIEWER = {H. D. Kloosterman},
}
@article {MR0305402,
AUTHOR = {Meyer, Werner},
TITLE = {Die {S}ignatur von lokalen {K}oeffizientensystemen und
{F}aserb\"undeln},
JOURNAL = {Bonn. Math. Schr.},
NUMBER = {53},
YEAR = {1972},
PAGES = {viii+59},
MRCLASS = {55F10},
MRNUMBER = {MR0305402 (46 \#4532)},
MRREVIEWER = {P. S. Landweber},
}
@article {MR0331382,
AUTHOR = {Meyer, Werner},
TITLE = {Die {S}ignatur von {F}l\"achenb\"undeln},
JOURNAL = {Math. Ann.},
VOLUME = {201},
YEAR = {1973},
PAGES = {239--264},
MRCLASS = {55F10 (57D20)},
MRNUMBER = {MR0331382 (48 \#9715)},
MRREVIEWER = {Don Zagier},
}
@article {MR524003,
AUTHOR = {Meyer, Werner and Sczech, Robert},
TITLE = {\"{U}ber eine topologische und zahlentheoretische {A}nwendung
von {H}irzebruchs {S}pitzenaufl\"osung},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {240},
YEAR = {1979},
NUMBER = {1},
PAGES = {69--96},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {10D21 (12A50)},
MRNUMBER = {MR524003 (82c:10035)},
MRREVIEWER = {I. Dolgachev},
}
@article{michel_boundary_2005,
title = {The boundary of the Milnor fiber of Hirzebruch surface singularities},
url = {http://arxiv.org/abs/math/0509451},
abstract = {We give the first (as far as we know) complete description of the boundary of the Milnor fiber for some non-isolated singular germs of surfaces in \${{\textbackslash}bf C}{\textasciicircum}3\$. We study irreducible (i.e. \$gcd (m,k,l) = 1\$) non-isolated (i.e. \$1 {\textbackslash}leq k {\textless} l\$) Hirzebruch hypersurface singularities in \${{\textbackslash}bf C}{\textasciicircum}3\$ given by the equation \$z{\textasciicircum}m - x{\textasciicircum}ky{\textasciicircum}l = 0\$. We show that the boundary {\$L\$} of the Milnor fiber is always a Seifert manifold and we give an explicit description of the Seifert structure. From it, we deduce that : 1) {\$L\$} is never diffeomorphic to the boundary of the normalization. 2) {\$L\$} is a lens space iff \$m = 2\$ and \$k = 1\$. 3) When {\$L\$} is not a lens space, it is never orientation preserving diffeomorphic to the boundary of a normal surface singularity.},
journal = {math/0509451},
author = {F. Michel and Anne Pichon and Claude Weber},
month = sep,
year = {2005},
keywords = {{14J17,} {32S25,} {57M25,} Mathematics - Algebraic Geometry},
}
@article {MR1097689,
AUTHOR = {L{\^e} D{\~u}ng Tr{\'a}ng and Michel, Francoise and
Weber, Claude},
TITLE = {Courbes polaires et topologie des courbes planes},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {24},
YEAR = {1991},
NUMBER = {2},
PAGES = {141--169},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {32S55},
MRNUMBER = {1097689 (92b:32043)},
MRREVIEWER = {Tom{\'a}s S{\'a}nchez-Giralda},
URL = {http://www.numdam.org/item?id=ASENS_1991_4_24_2_141_0},
}
@article {MR1193602,
AUTHOR = {DuBois, Philippe and Michel, Francoise},
TITLE = {Cobordism of algebraic knots via {S}eifert forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {111},
YEAR = {1993},
NUMBER = {1},
PAGES = {151--169},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57Q45 (32S55)},
MRNUMBER = {MR1193602 (94d:57051)},
MRREVIEWER = {J. P. Levine},
}
@article {MR1456314,
AUTHOR = {Blanl{\oe}il, Vincent and Michel, Francoise},
TITLE = {A theory of cobordism for non-spherical links},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {72},
YEAR = {1997},
NUMBER = {1},
PAGES = {30--51},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45 (14B05 32S55 57Q60)},
MRNUMBER = {1456314 (98h:57049)},
MRREVIEWER = {J. P. Levine},
DOI = {10.1007/PL00000365},
URL = {http://dx.doi.org/10.1007/PL00000365},
}
@article {MR728455,
AUTHOR = {Coray, Daniel and Michel, Francoise},
TITLE = {Knot cobordism and amphicheirality},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {4},
PAGES = {601--616},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45},
MRNUMBER = {MR728455 (85j:57032)},
MRREVIEWER = {K. Lamotke},
DOI = {10.1007/BF02564655},
URL = {http://dx.doi.org/10.1007/BF02564655},
}
@article {blan,
AUTHOR = {Blanl{\oe}il, Vincent and Michel, Francoise},
TITLE = {Cobordism and concordance of knots},
YEAR = {2007},
}
@book {MR1031992,
AUTHOR = {Lawson, H. Blaine and Michelsohn, Marie-Louise},
TITLE = {Spin geometry},
SERIES = {Princeton Mathematical Series},
VOLUME = {38},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1989},
PAGES = {xii+427},
ISBN = {0-691-08542-0},
MRCLASS = {53-02 (53A50 53C20 57R75 58G10)},
MRNUMBER = {MR1031992 (91g:53001)},
MRREVIEWER = {N. J. Hitchin},
}
@article {MR0206951,
AUTHOR = {Milgram, R. J.},
TITLE = {Iterated loop spaces},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {84},
YEAR = {1966},
PAGES = {386--403},
MRCLASS = {55.40},
MRNUMBER = {MR0206951 (34 \#6767)},
MRREVIEWER = {E. Dyer},
}
@article {MR0242149,
AUTHOR = {Milgram, R. J.},
TITLE = {The homology of symmetric products},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {138},
YEAR = {1969},
PAGES = {251--265},
ISSN = {0002-9947},
MRCLASS = {55.30},
MRNUMBER = {0242149 (39 \#3483)},
MRREVIEWER = {A. H. Clark},
}
@article {MR0263100,
AUTHOR = {Milgram, R. J.},
TITLE = {The {${\rm mod}\ 2$} spherical characteristic classes},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {92},
YEAR = {1970},
PAGES = {238--261},
ISSN = {0003-486X},
MRCLASS = {57.32},
MRNUMBER = {0263100 (41 \#7705)},
MRREVIEWER = {R. E. Stong},
}
@incollection {MR0343286,
AUTHOR = {Madsen, Ib and Milgram, R. J.},
TITLE = {On spherical fiber bundles and their {${\rm PL}$} reductions},
BOOKTITLE = {New developments in topology ({P}roc. {S}ympos. {A}lgebraic
{T}opology, {O}xford, 1972)},
PAGES = {43--59. London Math. Soc. Lecture Note Ser., No. 11},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {London},
YEAR = {1974},
MRCLASS = {57C50 (57D10)},
MRNUMBER = {MR0343286 (49 \#8028)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@book {MR0348740,
AUTHOR = {Milgram, R. J.},
TITLE = {Unstable homotopy from the stable point of view},
SERIES = {Lecture Notes in Mathematics, Vol. 368},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {iv+109},
MRCLASS = {55E05},
MRNUMBER = {MR0348740 (50 \#1235)},
MRREVIEWER = {S. Gitler},
}
@article {MR0362359,
AUTHOR = {Milgram, R. J.},
TITLE = {Surgery with coefficients},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {100},
YEAR = {1974},
PAGES = {194--248},
MRCLASS = {57D65},
MRNUMBER = {MR0362359 (50 \#14801)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0470965,
AUTHOR = {Brumfiel, Gregory W. and Milgram, R. J.},
TITLE = {Normal maps, covering spaces, and quadratic functions},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {44},
YEAR = {1977},
NUMBER = {3},
PAGES = {663--694},
ISSN = {0012-7094},
MRCLASS = {57B10},
MRNUMBER = {MR0470965 (57 \#10708)},
MRREVIEWER = {K. Lamotke},
}
@incollection {MR1361898,
AUTHOR = {Carlsson, Gunnar and Milgram, R. J.},
TITLE = {Stable homotopy and iterated loop spaces},
BOOKTITLE = {Handbook of algebraic topology},
PAGES = {505--583},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1995},
MRCLASS = {55P35 (55P42)},
MRNUMBER = {MR1361898 (97j:55007)},
MRREVIEWER = {Lionel Schwartz},
}
@book {MR548575,
AUTHOR = {Madsen, Ib and Milgram, R. J.},
TITLE = {The classifying spaces for surgery and cobordism of manifolds},
SERIES = {Annals of Mathematics Studies},
VOLUME = {92},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1979},
PAGES = {xii+279},
ISBN = {0-691-08225-1},
MRCLASS = {57N70 (55P47 55R35 57Q60)},
MRNUMBER = {MR548575 (81b:57014)},
MRREVIEWER = {Yu. P. Solov{\cprime}ev},
}
@book {MR798073,
AUTHOR = {Davis, Jim and Milgram, R. J.},
TITLE = {A survey of the spherical space form problem},
SERIES = {Mathematical Reports},
VOLUME = {2},
PUBLISHER = {Harwood Academic Publishers},
ADDRESS = {Chur},
YEAR = {1985},
PAGES = {xi+61},
ISBN = {3-7186-0250-4},
MRCLASS = {57-02 (57S25)},
MRNUMBER = {MR798073 (87e:57001)},
MRREVIEWER = {C. B. Thomas},
}
@article {MR922660,
AUTHOR = {Hambleton, Ian and Milgram, R. J. and Taylor, Laurence R. and Williams,
Bruce},
TITLE = {Surgery with finite fundamental group},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {56},
YEAR = {1988},
NUMBER = {2},
PAGES = {349--379},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (19L64 57R65)},
MRNUMBER = {MR922660 (89c:57043)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR979510,
AUTHOR = {Milgram, R. J.},
TITLE = {Some remarks on the {K}irby-{S}iebenmann class},
BOOKTITLE = {Algebraic topology and transformation groups (G\"ottingen,
1987)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1361},
PAGES = {247--252},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1988},
MRCLASS = {55R40},
MRNUMBER = {MR979510 (89k:55034)},
MRREVIEWER = {Laurence R. Taylor},
}
@proceedings {MR520489,
TITLE = {Algebraic and geometric topology. {P}art 1},
SERIES = {Proceedings of Symposia in Pure Mathematics, XXXII},
BOOKTITLE = {Proceedings of the {S}ymposium in {P}ure {M}athematics of the
{A}merican {M}athematical {S}ociety ({T}wenty-fourth {S}ummer
{R}esearch {I}nstitute), held at {S}tanford {U}niversity,
{S}tanford, {C}alif., {A}ugust 2--21, 1976},
AUTHOR = {Milgram, R. James},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
PAGES = {vii+412},
ISBN = {0-8218-1432-X},
MRCLASS = {57-06 (18-06)},
MRNUMBER = {MR520489 (80d:57001a)},
}
@proceedings {MR520516,
TITLE = {Algebraic and geometric topology. {P}art 2},
SERIES = {Proceedings of Symposia in Pure Mathematics, XXXII},
BOOKTITLE = {Proceedings of the {S}ymposium in {P}ure {M}athematics of the
{A}merican {M}athematical {S}ociety ({T}wenty-fourth {S}ummer
{R}esearch {I}nstitute), held at {S}tanford {U}niversity,
{S}tanford, {C}alif., {A}ugust 2--21, 1976},
AUTHOR = {Milgram, R. James},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
PAGES = {vi+322},
ISBN = {0-8218-1433-8},
MRCLASS = {57-06 (18-06)},
MRNUMBER = {MR520516 (80d:57001b)},
}
@article {MR1270558,
AUTHOR = {Milin, Lazar},
TITLE = {A combinatorial computation of the first {P}ontryagin class of
the complex projective plane},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {49},
YEAR = {1994},
NUMBER = {3},
PAGES = {253--291},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57Q15 (52B70 57R20)},
MRNUMBER = {MR1270558 (95b:57024)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}
@book {MR977744,
AUTHOR = {van Mill, J.},
TITLE = {Infinite-dimensional topology},
SERIES = {North-Holland Mathematical Library},
VOLUME = {43},
NOTE = {Prerequisites and introduction},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1989},
PAGES = {xii+401},
ISBN = {0-444-87133-0},
MRCLASS = {57N20 (54C55)},
MRNUMBER = {977744 (90a:57025)},
MRREVIEWER = {John J. Walsh},
}
@article {MR1016041,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {A symplectic geometry approach to generalized {C}asson's
invariants of {$3$}-manifolds},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {22},
YEAR = {1990},
NUMBER = {2},
PAGES = {269--275},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57N10},
MRNUMBER = {MR1016041 (91b:57024)},
MRREVIEWER = {Daniel Lines},
DOI = {10.1090/S0273-0979-1990-15885-9},
URL = {http://dx.doi.org/10.1090/S0273-0979-1990-15885-9},
}
@incollection {MR1184405,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Invariants of {$3$}-manifolds from conformal field theory},
BOOKTITLE = {Topology '90 ({C}olumbus, {OH}, 1990)},
SERIES = {Ohio State Univ. Math. Res. Inst. Publ.},
VOLUME = {1},
PAGES = {91--109},
PUBLISHER = {de Gruyter},
ADDRESS = {Berlin},
YEAR = {1992},
MRCLASS = {57M25 (57N10 81T40)},
MRNUMBER = {1184405 (94c:57003)},
MRREVIEWER = {Toshitake Kohno},
}
@article {MR1263126,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {On the {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {47},
YEAR = {1994},
NUMBER = {2},
PAGES = {121--186},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {57R20 (15A63 58E05 58F05)},
MRNUMBER = {MR1263126 (95f:57045)},
MRREVIEWER = {Sergey S. Anisov},
}
@article {MR1391757,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{I}. {L}ow eigenmodes and stretching},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {8},
PAGES = {825--866},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1391757 (97g:58162)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199608)49:8<825::AID-CPA3>3.3.CO;2-4},
}
@article {MR1399200,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{II}. {S}pectral flow and {M}aslov index},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {49},
YEAR = {1996},
NUMBER = {9},
PAGES = {869--909},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58G10 (57R57 58G25)},
MRNUMBER = {MR1399200 (97g:58163)},
MRREVIEWER = {Paul A. Kirk},
DOI = {10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199609)49:9<869::AID-CPA1>3.0.CO;2-5},
}
@article {MR1670052,
AUTHOR = {Cappell, Sylvain E. and Lee, Ronnie and Miller, Edward Y.},
TITLE = {Self-adjoint elliptic operators and manifold decompositions.
{III}. {D}eterminant line bundles and {L}agrangian
intersection},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {52},
YEAR = {1999},
NUMBER = {5},
PAGES = {543--611},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {58J30 (53D12 57R57 58J20 58J28 58J52)},
MRNUMBER = {MR1670052 (2000j:58043)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
URL =
{http://dx.doi.org/10.1002/(SICI)1097-0312(199905)52:5<543::AID-CPA1>3.0.CO;2-O},
}
@article{millerbourbaki,
AUTHOR = {Haynes Miller},
TITLE = {Kervaire Invariant One},
YEAR = {2010},
NOTES = {Seminaire Bourbaki 2010-2011, 1029},
}
@article{millerharvard,
AUTHOR = {Haynes Miller},
TITLE = {Browder's theorem and manifolds with corners},
YEAR = {2009},
NOTES = {Harvard Kervaire invariant seminar notes,
http://www-math.mit.edu/~hrm/ksem/miller.pdf},
URL = {http://www-math.mit.edu/~hrm/ksem/miller.pdf},
}
@article{millervector,
AUTHOR = {Haynes Miller},
TITLE = {Vector fields on spheres, etc.},
YEAR = {1991},
NOTES = {MIT notes},
}
@article{math.DG/0206088,
title = {{The Euler characteristic and finiteness obstruction of
manifolds with periodic ends}},
author = {John G. Miller},
eprint = {arXiv:math.DG/0206088},
}
@article {MR1037145,
AUTHOR = {Johnson, Dennis and Millson, John J.},
TITLE = {Modular {L}agrangians and the theta multiplier},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {100},
YEAR = {1990},
NUMBER = {1},
PAGES = {143--165},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {11F27 (11F37)},
MRNUMBER = {MR1037145 (91j:11028)},
MRREVIEWER = {Siegfried B{\"o}cherer},
}
@article {MR0037509,
AUTHOR = {Milnor, John W.},
TITLE = {On the total curvature of knots},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {52},
YEAR = {1950},
PAGES = {248--257},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {0037509 (12,273c)},
MRREVIEWER = {J. Nielsen},
}
@article {MR0071020,
AUTHOR = {Milnor, John W.},
TITLE = {Link groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {59},
YEAR = {1954},
PAGES = {177--195},
ISSN = {0003-486X},
MRCLASS = {55.0X},
MRNUMBER = {0071020 (17,70e)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0079268,
AUTHOR = {Milnor, John W.},
TITLE = {On the immersion of {$n$}-manifolds in {$(n+1)$}-space},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {30},
YEAR = {1956},
PAGES = {275--284},
ISSN = {0010-2571},
MRCLASS = {55.0X},
MRNUMBER = {MR0079268 (18,60b)},
MRREVIEWER = {S. Chern},
}
@article {MR0082103,
AUTHOR = {Milnor, John W.},
TITLE = {On manifolds homeomorphic to the {$7$}-sphere},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {64},
YEAR = {1956},
PAGES = {399--405},
MRCLASS = {55.0X},
MRNUMBER = {MR0082103 (18,498d)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0095518,
AUTHOR = {Milnor, John W.},
TITLE = {On the existence of a connection with curvature zero},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {32},
YEAR = {1958},
PAGES = {215--223},
ISSN = {0010-2571},
MRCLASS = {53.00},
MRNUMBER = {0095518 (20 \#2020)},
MRREVIEWER = {L. Auslander},
}
@article {MR0099653,
AUTHOR = {Milnor, John W.},
TITLE = {The {S}teenrod algebra and its dual},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {67},
YEAR = {1958},
PAGES = {150--171},
ISSN = {0003-486X},
MRCLASS = {55.00 (18.00)},
MRNUMBER = {MR0099653 (20 \#6092)},
MRREVIEWER = {G. Hirsch},
}
@article {MR0100267,
AUTHOR = {Milnor, John W.},
TITLE = {On spaces having the homotopy type of {${\rm CW}$}-complex},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {90},
YEAR = {1959},
PAGES = {272--280},
MRCLASS = {55.00},
MRNUMBER = {MR0100267 (20 \#6700)},
MRREVIEWER = {V. Gugenheim},
}
@article {MR0102804,
AUTHOR = {Bott, Raoul and Milnor, John W.},
TITLE = {On the parallelizability of the spheres},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {64},
YEAR = {1958},
PAGES = {87--89},
MRCLASS = {55.00},
MRNUMBER = {MR0102804 (21 \#1590)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0102805,
AUTHOR = {Milnor, John W.},
TITLE = {Some consequences of a theorem of {B}ott},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {444--449},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0102805 (21 \#1591)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0102808,
AUTHOR = {Milnor, John W.},
TITLE = {On the {W}hitehead homomorphism {$J$}},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {64},
YEAR = {1958},
PAGES = {79--82},
MRCLASS = {55.00},
MRNUMBER = {MR0102808 (21 \#1594)},
MRREVIEWER = {R. Bott},
}
@incollection {MR0103472,
AUTHOR = {Milnor, John W.},
TITLE = {On simply connected {$4$}-manifolds},
BOOKTITLE = {Symposium internacional de topolog\'\i a algebraica
International symposi um on algebraic topology},
PAGES = {122--128},
PUBLISHER = {Universidad Nacional Aut\'onoma de M\'exico and UNESCO, Mexico
City},
YEAR = {1958},
MRCLASS = {55.00},
MRNUMBER = {MR0103472 (21 \#2240)},
MRREVIEWER = {H. Samelson},
}
@article {MR0110107,
AUTHOR = {Milnor, John W.},
TITLE = {Differentiable structures on spheres},
JOURNAL = {Amer. J. Math.},
VOLUME = {81},
YEAR = {1959},
PAGES = {962--972},
MRCLASS = {57.00},
MRNUMBER = {MR0110107 (22 \#990)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0117750,
AUTHOR = {Milnor, John W. and Spanier, E. H.},
TITLE = {Two remarks on fiber homotopy type},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {10},
YEAR = {1960},
PAGES = {585--590},
ISSN = {0030-8730},
MRCLASS = {57.00},
MRNUMBER = {MR0117750 (22 \#8524)},
MRREVIEWER = {J. F. Adams},
}
@incollection {MR0121801,
AUTHOR = {Milnor, John W. and Kervaire, M.},
TITLE = {Bernoulli numbers, homotopy groups, and a theorem of {R}ohlin},
BOOKTITLE = {Proc. {I}nternat. {C}ongress {M}ath. 1958},
PAGES = {454--458},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {New York},
YEAR = {1960},
MRCLASS = {57.00 (55.00)},
MRNUMBER = {MR0121801 (22 \#12531)},
MRREVIEWER = {F. Hirzebruch},
}
@incollection {MR0130696,
AUTHOR = {Milnor, John W.},
TITLE = {A procedure for killing homotopy groups of differentiable
manifolds. },
BOOKTITLE = {Proc. {S}ympos. {P}ure {M}ath., {V}ol. {III}},
PAGES = {39--55},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I},
YEAR = {1961},
MRCLASS = {57.10},
MRNUMBER = {MR0130696 (24 \#A556)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0133127,
AUTHOR = {Milnor, John W.},
TITLE = {Two complexes which are homeomorphic but combinatorially
distinct},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {74},
YEAR = {1961},
PAGES = {575--590},
ISSN = {0003-486X},
MRCLASS = {55.25},
MRNUMBER = {MR0133127 (24 \#A2961)},
MRREVIEWER = {F. Raymond},
}
@article {MR0133134,
AUTHOR = {Kervaire, M. and Milnor, John W.},
TITLE = {On {$2$}-spheres in {$4$}-manifolds},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {47},
YEAR = {1961},
PAGES = {1651--1657},
MRCLASS = {57.20},
MRNUMBER = {MR0133134 (24 \#A2968)},
MRREVIEWER = {A. Haefliger},
}
@article {MR0141115,
AUTHOR = {Milnor, John W.},
TITLE = {A duality theorem for {R}eidemeister torsion},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {76},
YEAR = {1962},
PAGES = {137--147},
MRCLASS = {55.60},
MRNUMBER = {MR0141115 (25 \#4526)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0148075,
AUTHOR = {Kervaire, M. and Milnor, John W.},
TITLE = {Groups of homotopy spheres},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {77},
YEAR = {1963},
PAGES = {504--537},
MRCLASS = {57.10},
MRNUMBER = {MR0148075 (26 /#5584)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0157388,
AUTHOR = {Milnor, John W.},
TITLE = {Spin structures on manifolds},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {9},
YEAR = {1963},
PAGES = {198--203},
ISSN = {0013-8584},
MRCLASS = {57.10},
MRNUMBER = {MR0157388 (28 \#622)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0159327,
AUTHOR = {Milnor, John W.},
TITLE = {On axiomatic homology theory},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {12},
YEAR = {1962},
PAGES = {337--341},
ISSN = {0030-8730},
MRCLASS = {55.30},
MRNUMBER = {MR0159327 (28 \#2544)},
MRREVIEWER = {A. Heller},
}
@incollection {MR0161345,
AUTHOR = {Milnor, John W.},
TITLE = {Topological manifolds and smooth manifolds},
BOOKTITLE = {Proc. Internat. Congr. Mathematicians (Stockholm, 1962)},
PAGES = {132--138},
PUBLISHER = {Inst. Mittag-Leffler},
ADDRESS = {Djursholm},
YEAR = {1963},
MRCLASS = {57.30 (57.20)},
MRNUMBER = {MR0161345 (28 \#4553a)},
}
@article {MR0161346,
AUTHOR = {Milnor, John W.},
TITLE = {Microbundles. {I}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1964},
NUMBER = {suppl. 1},
PAGES = {53--80},
ISSN = {0040-9383},
MRCLASS = {57.30 (57.20)},
MRNUMBER = {MR0161346 (28 \#4553b)},
MRREVIEWER = {J. F. Adams},
}
@book {MR0163331,
AUTHOR = {Milnor, John W.},
TITLE = {Morse theory},
SERIES = {Based on lecture notes by M. Spivak and R. Wells. Annals of
Mathematics Studies, No. 51},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1963},
PAGES = {vi+153},
MRCLASS = {57.50 (53.72)},
MRNUMBER = {MR0163331 (29 \#634)},
MRREVIEWER = {H. I. Levine},
}
@incollection {MR0189055,
AUTHOR = {Milnor, John W.},
TITLE = {Some free actions of cyclic groups on spheres},
BOOKTITLE = {Differential {A}nalysis, {B}ombay {C}olloq., 1964},
PAGES = {37--42},
PUBLISHER = {Oxford Univ. Press},
ADDRESS = {London},
YEAR = {1964},
MRCLASS = {57.47 (55.36)},
MRNUMBER = {MR0189055 (32 \#6482)},
MRREVIEWER = {A. Haefliger},
}
@book {MR0190942,
AUTHOR = {Milnor, John W.},
TITLE = {Lectures on the {$h$}-cobordism theorem},
SERIES = {Notes by L. Siebenmann and J. Sondow},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1965},
PAGES = {v+116},
MRCLASS = {57.10},
MRNUMBER = {MR0190942 (32 \#8352)},
MRREVIEWER = {P. E. Conner},
}
@article {MR0196736,
AUTHOR = {Milnor, John W.},
TITLE = {Whitehead torsion},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {72},
YEAR = {1966},
PAGES = {358--426},
MRCLASS = {55.40 (55.25)},
MRNUMBER = {MR0196736 (33 \#4922)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0211392,
AUTHOR = {Fox, Ralph H. and Milnor, John W.},
TITLE = {Singularities of {$2$}-spheres in {$4$}-space and cobordism of
knots},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {3},
YEAR = {1966},
PAGES = {257--267},
ISSN = {0030-6126},
MRCLASS = {55.20 (57.00)},
MRNUMBER = {MR0211392 (35 \#2273)},
MRREVIEWER = {C. H. Giffen},
}
@article {MR0226638,
AUTHOR = {Milnor, John W.},
TITLE = {On characteristic classes for spherical fibre spaces},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {43},
YEAR = {1968},
PAGES = {51--77},
ISSN = {0010-2571},
MRCLASS = {55.50},
MRNUMBER = {0226638 (37 \#2227)},
MRREVIEWER = {R. E. Mosher},
}
@book {MR0226651,
AUTHOR = {Milnor, John W.},
TITLE = {Topology from the differentiable viewpoint},
SERIES = {Based on notes by David W. Weaver},
PUBLISHER = {The University Press of Virginia, Charlottesville, Va.},
YEAR = {1965},
PAGES = {ix+65},
MRCLASS = {57.10},
MRNUMBER = {MR0226651 (37 \#2239)},
MRREVIEWER = {W. S. Piper},
}
@book {MR0239612,
AUTHOR = {Milnor, John W.},
TITLE = {Singular points of complex hypersurfaces},
SERIES = {Annals of Mathematics Studies, No. 61},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1968},
PAGES = {iii+122},
MRCLASS = {57.20 (14.00)},
MRNUMBER = {MR0239612 (39 \#969)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR0242163,
AUTHOR = {Milnor, John W.},
TITLE = {Infinite cyclic coverings},
BOOKTITLE = {Conference on the Topology of Manifolds (Michigan State Univ.,
E. Lansing, Mich., 1967)},
PAGES = {115--133},
PUBLISHER = {Prindle, Weber \& Schmidt, Boston, Mass.},
YEAR = {1968},
MRCLASS = {57.01 (55.00)},
MRNUMBER = {MR0242163 (39 \#3497)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0246308,
AUTHOR = {Lusztig, G. and Milnor, John W. and Peterson, F. P.},
TITLE = {Semi-characteristics and cobordism},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {357--359},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {0246308 (39 \#7612)},
MRREVIEWER = {H. Suzuki},
}
@article {MR0249519,
AUTHOR = {Milnor, John W.},
TITLE = {On isometries of inner product spaces},
JOURNAL = {Invent. Math.},
VOLUME = {8},
YEAR = {1969},
PAGES = {83--97},
MRCLASS = {20.75 (15.00)},
MRNUMBER = {MR0249519 (40 \#2764)},
MRREVIEWER = {S. B{\"o}ge},
}
@article {MR0260844,
AUTHOR = {Milnor, John W.},
TITLE = {Algebraic {$K$}-theory and quadratic forms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {9},
YEAR = {1969/1970},
PAGES = {318--344},
ISSN = {0020-9910},
MRCLASS = {18.20 (10.00)},
MRNUMBER = {0260844 (41 \#5465)},
MRREVIEWER = {H. Bass},
}
@article {MR0293680,
AUTHOR = {Milnor, John W. and Orlik, Peter},
TITLE = {Isolated singularities defined by weighted homogeneous
polynomials},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {385--393},
ISSN = {0040-9383},
MRCLASS = {32L05 (14E15 55F25)},
MRNUMBER = {MR0293680 (45 \#2757)},
MRREVIEWER = {M. F. Atiyah},
locapdf="../../papers/orlikmilnor.pdf",
}
@incollection {MR0347866,
AUTHOR = {Milnor, John W.},
TITLE = {Symmetric inner products in characteristic {$2$}},
BOOKTITLE = {Prospects in mathematics ({P}roc. {S}ympos., {P}rinceton
{U}niv., {P}rinceton, {N}.{J}., 1970)},
PAGES = {59--75. Ann. of Math. Studies, No. 70},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1971},
MRCLASS = {15A63 (10C05)},
MRNUMBER = {MR0347866 (50 \#367)},
MRREVIEWER = {A. Rosenberg},
}
@book {MR0349811,
AUTHOR = {Milnor, John W.},
TITLE = {Introduction to algebraic {$K$}-theory},
NOTE = {Annals of Mathematics Studies, No. 72},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1971},
PAGES = {xiii+184},
MRCLASS = {18F25 (12A65)},
MRNUMBER = {MR0349811 (50 \#2304)},
MRREVIEWER = {J.-P. Jouanolou},
}
@incollection {MR0418127,
AUTHOR = {Milnor, John W.},
TITLE = {On the {$3$}-dimensional {B}rieskorn manifolds {$M(p,q,r)$}},
BOOKTITLE = {Knots, groups, and 3-manifolds ({P}apers dedicated to the
memory of {R}. {H}. {F}ox)},
PAGES = {175--225. Ann. of Math. Studies, No. 84},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1975},
MRCLASS = {57D70 (32C40 14B05)},
MRNUMBER = {MR0418127 (54 \#6169)},
MRREVIEWER = {W. D. Neumann},
}
@book {MR0440554,
AUTHOR = {Milnor, John W. and Stasheff, James D.},
TITLE = {Characteristic classes},
NOTE = {Annals of Mathematics Studies, No. 76},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1974},
PAGES = {vii+331},
MRCLASS = {57-01 (55-02 55F40 57D20)},
MRNUMBER = {MR0440554 (55 \#13428)},
MRREVIEWER = {F. Hirzebruch},
}
@book {MR04405541,
AUTHOR = {Milnor, John W.},
TITLE = {Characteristic classes},
NOTE = {Lecture Notes, Princeton},
YEAR = {1957},
}
@book {MR0506372,
AUTHOR = {Milnor, John W. and Husemoller, Dale},
TITLE = {Symmetric bilinear forms},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {viii+147},
MRCLASS = {15A63 (10C05 57D65)},
MRNUMBER = {MR0506372 (58 \#22129)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR699007,
AUTHOR = {Milnor, John W.},
TITLE = {On the homology of {L}ie groups made discrete},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {72--85},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57T10 (22E40 22E41 55R40 57R30)},
MRNUMBER = {699007 (85b:57050)},
MRREVIEWER = {Eric M. Friedlander},
DOI = {10.1007/BF02564625},
URL = {http://dx.doi.org/10.1007/BF02564625},
}
@article{fox1957singularities,
title={{Singularities of 2-spheres in 4-space and equivalence of knots}},
author={Fox, Ralph H. and Milnor, John W.},
journal={Bull. Amer. Math. Soc},
volume={63},
pages={406},
year={1957},
}
@article {homsph,
AUTHOR = {Milnor, John W.},
TITLE = {Differentiable manifolds which are homotopy spheres},
YEAR = {Princeton, 1959},
}
@article {milnmicro,
AUTHOR = {Milnor, John W.},
TITLE = {Microbundles and differentiable structures},
YEAR = {Princeton, 1961},
}
@article {MR0206958,
AUTHOR = {Mimura, Mamoru},
TITLE = {The homotopy groups of {L}ie groups of low rank},
JOURNAL = {J. Math. Kyoto Univ.},
FJOURNAL = {Journal of Mathematics of Kyoto University},
VOLUME = {6},
YEAR = {1967},
PAGES = {131--176},
ISSN = {0023-608X},
MRCLASS = {55.45 (57.40)},
MRNUMBER = {MR0206958 (34 \#6774)},
MRREVIEWER = {Bruno Harris},
}
@article {MR2222731,
AUTHOR = {Minatta, Augusto},
TITLE = {Signature homology},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {592},
YEAR = {2006},
PAGES = {79--122},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {55Nxx (57Rxx)},
MRNUMBER = {MR2222731},
}
@article {MR2409409,
AUTHOR = {Barmak, Jonathan Ariel and Minian, Elias Gabriel},
TITLE = {Simple homotopy types and finite spaces},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {218},
YEAR = {2008},
NUMBER = {1},
PAGES = {87--104},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57Q10 (06A06 55U05)},
MRNUMBER = {2409409 (2010a:57042)},
DOI = {10.1016/j.aim.2007.11.019},
URL = {http://dx.doi.org/10.1016/j.aim.2007.11.019},
}
@article {DESING,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Desingularizing homology manifolds},
JOURNAL = {preprint},
YEAR = {2005},
}
@article {MR1394965,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Topology of homology manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {143},
YEAR = {1996},
NUMBER = {3},
PAGES = {435--467},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57P99},
MRNUMBER = {MR1394965 (97b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR870597,
AUTHOR = {Mio, Washington},
TITLE = {On boundary-link cobordism},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {101},
YEAR = {1987},
NUMBER = {2},
PAGES = {259--266},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {MR870597 (88e:57023)},
MRREVIEWER = {J. P. Levine},
}
@article{math.GT\0403261,
author = {Mio, Washington and Ranicki, Andrew},
title = {{The quadratic form E_8 and exotic homology manifolds}},
}
@book {MR2028588,
AUTHOR = {Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek,
Marian},
TITLE = {Computational homology},
SERIES = {Applied Mathematical Sciences},
VOLUME = {157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2004},
PAGES = {xviii+480},
ISBN = {0-387-40853-3},
MRCLASS = {55-02 (37B30 55M20 55M25 68U10 94A08)},
MRNUMBER = {MR2028588 (2005g:55001)},
MRREVIEWER = {Andrzej Kozlowski},
}
@article {MR0264652,
AUTHOR = {Gelfand, I. M. and Mishchenko, A. S.},
TITLE = {Quadratic forms over commutative group rings, and
{$K$}-theory},
JOURNAL = {Funkcional. Anal. i Prilo\v zen},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {3},
YEAR = {1969},
NUMBER = {4},
PAGES = {28--33},
ISSN = {0374-1990},
MRCLASS = {55.30 (20.00)},
MRNUMBER = {MR0264652 (41 \#9243)},
MRREVIEWER = {Joel M. Cohen},
}
@article {MR0293658,
AUTHOR = {Mishchenko, A. S.},
TITLE = {Homotopy invariants of multiply connected manifolds. {III}.
{H}igher signatures},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {35},
YEAR = {1971},
PAGES = {1316--1355},
ISSN = {0373-2436},
MRCLASS = {57D65},
MRNUMBER = {MR0293658 (45 \#2735)},
MRREVIEWER = {G. Lusztig},
}
@article {MR0295376,
AUTHOR = {Mishchenko, A. S.},
TITLE = {Involutions of manifolds with fixed point set diffeomorphic to
a real projective space},
JOURNAL = {Mat. Zametki},
FJOURNAL = {Akademiya Nauk SSSR. Matematicheskie Zametki},
VOLUME = {9},
YEAR = {1971},
PAGES = {249--252},
ISSN = {0025-567X},
MRCLASS = {57D90},
MRNUMBER = {0295376 (45 \#4442)},
MRREVIEWER = {I. R. Porteous},
}
@article {MR0413140,
AUTHOR = {Mishchenko, A. S.},
TITLE = {Hermitian {$K$}-theory. {T}heory of characteristic classes,
methods of functional analysis},
JOURNAL = {Uspehi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {31},
YEAR = {1976},
NUMBER = {2(188)},
PAGES = {69--134},
ISSN = {0042-1316},
MRCLASS = {57D65 (58G10)},
MRNUMBER = {0413140 (54 \#1261)},
MRREVIEWER = {Allen E. Hatcher},
}
@book {MR1640104,
AUTHOR = {Luke, Glenys and Mishchenko, A. S.},
TITLE = {Vector bundles and their applications},
SERIES = {Mathematics and its Applications},
VOLUME = {447},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1998},
PAGES = {viii+254},
ISBN = {0-7923-5154-1},
MRCLASS = {55R25 (58G10)},
MRNUMBER = {MR1640104 (99m:55019)},
MRREVIEWER = {V. P. Snaith},
}
@article {MR1865951,
AUTHOR = {Mishchenko, A. S.},
TITLE = {Theory of almost algebraic {P}oincar\'e complexes and local
combinatorial {H}irzebruch formula},
NOTE = {Noncommutative geometry and operator $K$-theory},
JOURNAL = {Acta Appl. Math.},
FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal
on Applying Mathematics and Mathematical Applications},
VOLUME = {68},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {5--37},
ISSN = {0167-8019},
CODEN = {AAMADV},
MRCLASS = {57R20 (19L10)},
MRNUMBER = {MR1865951 (2002j:57050)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1023/A:1012062214272},
URL = {http://dx.doi.org/10.1023/A:1012062214272},
}
@article {mishchenko_bordisms_2011,
title = {Bordisms of manifolds with proper action of a
discrete group: signatures and descriptions of
{\$G\$-bundles}},
shorttitle = {Bordisms of manifolds with proper action of a
discrete group},
url = {http://arxiv.org/abs/1112.2104},
abstract = {In this work the equivariant signature of a
manifold with proper action of a discrete group is defined as
an invariant of equivariant bordisms. It is shown that the
computation of this signature can be reduced to its computation
on fixed points sets equipped with their tubular neighborhoods.
It is given a description of the equivariant vector bundles
with action of a discrete group {\$G\$} for the case when the
action over the base is proper quasi-free, i.e. the stationary
subgroup of any point is finite. The description is given in
terms of some classifying space.},
journal = {{arXiv:1112.2104}},
author = {Mishchenko, A. S. and Melendez, Quitzeh Morales},
month = dec,
year = {2011},
keywords = {{55R91}, {57S25}, {19L47}, Mathematics -
Algebraic Topology, Mathematics - {K-Theory} and Homology},
LOCALPDF ="../../papers/mishmora.pdf",
}
@article {MR1304179,
AUTHOR = {Liang, Chengzhi and Mislow, Kurt},
TITLE = {On {B}orromean links},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {16},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {27--35},
ISSN = {0259-9791},
CODEN = {JMCHEG},
MRCLASS = {57M25 (92E10)},
MRNUMBER = {1304179 (95j:57008)},
MRREVIEWER = {Erica Flapan},
DOI = {10.1007/BF01169193},
URL = {http://dx.doi.org/10.1007/BF01169193},
}
@book {MR0202787,
AUTHOR = {Mitchell, Barry},
TITLE = {Theory of categories},
SERIES = {Pure and Applied Mathematics, Vol. XVII},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1965},
PAGES = {xi+273},
MRCLASS = {18.00},
MRNUMBER = {MR0202787 (34 \#2647)},
MRREVIEWER = {F. E. J. Linton},
}
@incollection {MR1364192,
AUTHOR = {Moffatt, H. K. and Ricca, Renzo L.},
TITLE = {Helicity and the {C}\u alug\u areanu invariant [ {MR}1193010
(94b:53006)]},
BOOKTITLE = {Knots and applications},
SERIES = {Ser. Knots Everything},
VOLUME = {6},
PAGES = {251--269},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {1995},
MRCLASS = {53A04 (57M25 76A02 76C99 92D20)},
MRNUMBER = {1364192},
DOI = {10.1142/9789812796189_0006},
URL = {http://dx.doi.org/10.1142/9789812796189_0006},
}
@article{kuehl_total_2011,
title = {The total surgery obstruction revisited},
url = {http://arxiv.org/abs/1104.5092},
abstract = {The total surgery obstruction of a finite
n-dimensional Poincare complex X is an element {s(X)} of a
certain abelian group S\_n {(X)} with the property that for n
{\textgreater}= 5 we have {s(X)} = 0 if and only if X is
homotopy equivalent to a closed n-dimensional topological
manifold. The definitions of S\_n {(X)} and {s(X)} and the
property are due to Ranicki in a combination of results of two
books and several papers. In this paper we present these
definitions and a detailed proof of the main result so that
they are in one place and we also add some of the details not
explicitly written down in the original sources.},
journal = {{arXiv:1104.5092}},
author = {Kuehl, Philipp and Macko, Tibor and Mole, Adam},
month = apr,
year = {2011},
keywords = {{57R67}, {(57P10)}, Mathematics - Algebraic
Topology, Mathematics - Geometric Topology},
}
@book {MR1682930,
AUTHOR = {Mollin, Richard A.},
TITLE = {Algebraic number theory},
SERIES = {CRC Press Series on Discrete Mathematics and its Applications},
PUBLISHER = {Chapman & Hall CRC, Boca Raton, FL},
YEAR = {1999},
PAGES = {xiv+483},
ISBN = {0-8493-3989-8},
MRCLASS = {11Rxx (11-01)},
MRNUMBER = {1682930 (2000e:11130)},
MRREVIEWER = {Charles J. Parry},
}
@article{monnier_canonical_2012,
title = {Canonical quadratic refinements of cohomological pairings from functorial lifts of the Wu class},
url = {http://arxiv.org/abs/1208.1540},
abstract = {We consider categories of manifolds admitting a functorial lift of their Wu class to integral cohomology. We show that the existence of a functorial lift allows to construct canonical quadratic refinements of various pairings defined on the cohomologies of a manifold of dimension 4k+2, of its mapping tori and of manifolds bounded by the latter. We also exhibit the compatibility relations satisfied by these quadratic refinements. This leads in particular to a new Z2-valued topological invariant for spin manifolds of dimension 4k+2 when k = 0,2 or is odd. The motivation for this work comes from the physics of the self-dual field theory in dimension 6, and we explain the use of our results to the study of global gravitational anomaly cancellation involving the self-dual field theory.},
urldate = {2012-12-25},
journal = {{arXiv:1208.1540}},
author = {Monnier, Samuel},
month = aug,
year = {2012},
keywords = {53, 55, High Energy Physics - Theory, Mathematical Physics, Mathematics - Algebraic Topology},
}
@article {MR520928,
AUTHOR = {Boutet de Monvel, Louis},
TITLE = {On the index of {T}oeplitz operators of several complex
variables},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {50},
YEAR = {1978/79},
NUMBER = {3},
PAGES = {249--272},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {58G10 (32F20 58B15)},
MRNUMBER = {520928 (80j:58063)},
MRREVIEWER = {V. S. Rabinovich},
DOI = {10.1007/BF01410080},
URL = {http://dx.doi.org/10.1007/BF01410080},
}
@book {MR620794,
AUTHOR = {Boutet de Monvel, Louis and Guillemin, Victor},
TITLE = {The spectral theory of {T}oeplitz operators},
SERIES = {Annals of Mathematics Studies},
VOLUME = {99},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1981},
PAGES = {v+161},
ISBN = {0-691-08284-7; 0-691-08279-0},
MRCLASS = {58G15 (32F20 35Pxx 35S05 47B35)},
MRNUMBER = {620794 (85j:58141)},
MRREVIEWER = {V. Peller},
}
@article {MR1500526,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On certain crinkly curves},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {1},
YEAR = {1900},
NUMBER = {1},
PAGES = {72--90},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {26A30},
MRNUMBER = {MR1500526},
}
@article {MR0203730,
AUTHOR = {Eilenberg, Samuel and Moore, John C.},
TITLE = {Homology and fibrations. {I}. {C}oalgebras, cotensor product
and its derived functors},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {40},
YEAR = {1966},
PAGES = {199--236},
ISSN = {0010-2571},
MRCLASS = {55.50},
MRNUMBER = {MR0203730 (34 \#3579)},
MRREVIEWER = {A. Heller},
}
@article {MR944604,
AUTHOR = {Lines, Daniel and Morales, Jorge},
TITLE = {Grothendieck groups of sesquilinear forms over a ring with
involution},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {281},
YEAR = {1988},
NUMBER = {1},
PAGES = {97--108},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {18F25 (11E70 19G99 57Q45)},
MRNUMBER = {MR944604 (89k:18023)},
MRREVIEWER = {Barry H. Dayton},
}
@article {MR0226644,
AUTHOR = {Doyle, P. H. and Moran, D. A.},
TITLE = {A short proof that compact {$2$}-manifolds can be
triangulated},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {5},
YEAR = {1968},
PAGES = {160--162},
ISSN = {0020-9910},
MRCLASS = {57.01 (54.00)},
MRNUMBER = {0226644 (37 \#2233)},
MRREVIEWER = {S. S. Cairns},
}
@article {MR2801416,
AUTHOR = {Morava, Jack},
TITLE = {String orientations on simplicial homology manifolds},
JOURNAL = {Adv. Theor. Math. Phys.},
FJOURNAL = {Advances in Theoretical and Mathematical Physics},
VOLUME = {14},
YEAR = {2010},
NUMBER = {3},
PAGES = {991--1000},
ISSN = {1095-0761},
MRCLASS = {57Q99 (55R60 55S15)},
MRNUMBER = {2801416 (2012k:57035)},
MRREVIEWER = {Andr{\'e} G. Henriques},
LOCALPDF = "../../papers/moravastring.pdf",
}
@article {MR0042449,
AUTHOR = {Mordell, L. J.},
TITLE = {The reciprocity formula for {D}edekind sums},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {73},
YEAR = {1951},
PAGES = {593--598},
ISSN = {0002-9327},
MRCLASS = {10.0X},
MRNUMBER = {MR0042449 (13,113h)},
MRREVIEWER = {W. H. Mills},
}
@article {MR0043815,
AUTHOR = {Mordell, L. J.},
TITLE = {Lattice points in a tetrahedron and generalized {D}edekind
sums},
JOURNAL = {J. Indian Math. Soc. (N.S.)},
VOLUME = {15},
YEAR = {1951},
PAGES = {41--46},
MRCLASS = {10.0X},
MRNUMBER = {MR0043815 (13,322b)},
MRREVIEWER = {A. L. Whiteman},
}
@article{moreau,
AUTHOR = {Moreau, Jeremie et Clement},
TITLE = {Une remarque sur l'invariant de Arf},
}
@article{HOLMOR,
AUTHOR = {Hollingsworth, John and Morgan, John W.},
TITLE = {Homotopy triangulations and topological manifolds},
YEAR = {1971},
}
@article {MR0314050,
AUTHOR = {Levitt, Norman and Morgan, John W.},
TITLE = {Transversality structures and p.l. structures on spherical
fibrations},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {78},
YEAR = {1972},
PAGES = {1064--1068},
ISSN = {0002-9904},
MRCLASS = {55F60},
MRNUMBER = {0314050 (47 \#2602)},
MRREVIEWER = {B. J. Sanderson},
}
@article {MR0324709,
AUTHOR = {Brumfiel, Gregory W. and Morgan, John W.},
TITLE = {Quadratic functions, the index modulo {$8$}, and a {${\bf
Z}/4$}-{H}irzebruch formula},
JOURNAL = {Topology},
VOLUME = {12},
YEAR = {1973},
PAGES = {105--122},
MRCLASS = {57D20},
MRNUMBER = {MR0324709 (48 \#3059)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0431185,
AUTHOR = {Brumfiel, Gregory W. and Morgan, John W.},
TITLE = {Homotopy theoretic consequences of {N}. {L}evitt's obstruction
theory to transversality for spherical fibrations},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {67},
YEAR = {1976},
NUMBER = {1},
PAGES = {1--100},
ISSN = {0030-8730},
MRCLASS = {57B10 (57D65 55G35)},
MRNUMBER = {MR0431185 (55 \#4187)},
MRREVIEWER = {Norman Levitt},
}
@article {MR0501030,
AUTHOR = {Morgan, John W.},
TITLE = {A product formula for surgery obstructions},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {14},
YEAR = {1978},
NUMBER = {201},
PAGES = {xiv+90},
ISSN = {0065-9266},
MRCLASS = {57D65},
MRNUMBER = {MR0501030 (58 \#18496)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {morgandiff,
AUTHOR = {Morgan, John W.},
TITLE = {Differential topology notes},
}
@article {morgsull,
AUTHOR ="John W. Morgan and Dennis Sullivan",
TITLE = "The transversality characteristic class and linking cycles in
surgery theory",
JOURNAL = "Ann. of Math. (2)",
VOLUME = "99",
YEAR = "1974",
PAGES = "463--544",
MRCLASS = "57D20 (57D65)",
MRNUMBER = "MR0350748 (50 \#3240)",
MRREVIEWER = "R. K. Lashof",
}
@article {MR0091370,
AUTHOR = {Morgenthaler, George W.},
TITLE = {On {W}alsh-{F}ourier series},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {84},
YEAR = {1957},
PAGES = {472--507},
ISSN = {0002-9947},
MRCLASS = {42.1X},
MRNUMBER = {MR0091370 (19,956d)},
MRREVIEWER = {R. P. Boas, Jr.},
}
@article{morier-genoud_series_2010,
title = {A series of algebras generalizing the octonions and {Hurwitz-Radon} identity},
url = {http://arxiv.org/abs/1003.0429},
abstract = {We study non-associative twisted group algebras over {\$({\textbackslash}Z\_2){\textasciicircum}n\$} with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in the same way as the Clifford algebras extend the algebra of quaternions. We study their properties, give several equivalent definitions and prove their uniqueness within some natural assumptions. We then prove a simplicity criterion. We present two applications of the constructed algebras and the developed technique. The first application is a simple explicit formula for the following famous square identity: \$(a\_1{\textasciicircum}2+...+a\_{2{\textasciicircum}n}{\textasciicircum}2){\textbackslash},(b\_1{\textasciicircum}2+...+a\_{{\textbackslash}rho(n)}{\textasciicircum}2)= c\_1{\textasciicircum}2+...+c\_{2{\textasciicircum}n}{\textasciicircum}2\$, where \$c\_k\$ are bilinear functions of the \$a\_i\$ and \$b\_j\$ and where \${\textbackslash}rho(n)\$ is the {Hurwitz-Radon} function. The second application is the relation to Moufang loops and, in particular, to the code loops. To illustrate this relation, we provide an explicit coordinate formula for the factor set of the Parker loop.},
journal = {1003.0429},
author = {Morier-Genoud, Sophie and Ovsienko, Valentin},
month = mar,
year = {2010},
keywords = {{16W50,} {15A66,} {11E25,} {94B25,} {17A99,} Mathematical Physics, Mathematics - Rings and Algebras},
}
@article{morier-genoud_well_2008,
title = {Well, Papa, can you multiply triplets?},
url = {http://arxiv.org/abs/0810.5562},
abstract = {We show that the classical algebra of quaternions is a commutative {\${\textbackslash}Z\_2{\textbackslash}times{\textbackslash}Z\_2{\textbackslash}times{\textbackslash}Z\_2\$-graded} algebra. A similar interpretation of the algebra of octonions is impossible.},
journal = {0810.5562},
author = {Morier-Genoud, Sophie and Ovsienko, Valentin},
month = oct,
year = {2008},
keywords = {Mathematics - Commutative Algebra, Mathematics - Rings and Algebras},
}
@article {MR1425384,
AUTHOR = {Morifuji, Takayuki},
TITLE = {The {$\eta$}-invariant of mapping tori with finite
monodromies},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {75},
YEAR = {1997},
NUMBER = {1},
PAGES = {41--49},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R20 (57M10 57N10 57R15)},
MRNUMBER = {MR1425384 (97j:57030)},
MRREVIEWER = {Shuguang Wang},
DOI = {10.1016/S0166-8641(96)00082-X},
URL = {http://dx.doi.org/10.1016/S0166-8641(96)00082-X},
}
@article {MR1744469,
AUTHOR = {Morifuji, Takayuki},
TITLE = {Geometry of {M}eyer's function},
NOTE = {Hyperbolic spaces and related topics (Japanese) (Kyoto, 1998)},
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {1104},
YEAR = {1999},
PAGES = {14--17},
MRCLASS = {57M50 (58J28)},
MRNUMBER = {MR1744469},
}
@article {MR1848073,
AUTHOR = {Morifuji, Takayuki},
TITLE = {Twisted {A}lexander polynomial for the braid group},
JOURNAL = {Bull. Austral. Math. Soc.},
FJOURNAL = {Bulletin of the Australian Mathematical Society},
VOLUME = {64},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--13},
ISSN = {0004-9727},
CODEN = {ALNBAB},
MRCLASS = {20F36 (57M07)},
MRNUMBER = {MR1848073 (2002g:20068)},
MRREVIEWER = {Darren D. Long},
}
@article {MR1939188,
AUTHOR = {Morifuji, Takayuki},
TITLE = {On {M}eyer's function of hyperelliptic mapping class groups},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {55},
YEAR = {2003},
NUMBER = {1},
PAGES = {117--129},
ISSN = {0025-5645},
CODEN = {NISUBC},
MRCLASS = {57R20 (57N05 58J28)},
MRNUMBER = {MR1939188 (2003m:57054)},
MRREVIEWER = {A. R. Shastri},
DOI = {10.2969/jmsj/1196890845},
URL = {http://dx.doi.org/10.2969/jmsj/1196890845},
}
@article {MR2130565,
AUTHOR = {Goda, Hiroshi and Kitano, Teruaki and Morifuji, Takayuki},
TITLE = {Reidemeister torsion, twisted {A}lexander polynomial and
fibered knots},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
Mathematical Society},
VOLUME = {80},
YEAR = {2005},
NUMBER = {1},
PAGES = {51--61},
ISSN = {0010-2571},
MRCLASS = {57M25 (57M05 57Q10)},
MRNUMBER = {MR2130565 (2005m:57008)},
MRREVIEWER = {Charles Livingston},
}
@article {MR2221795,
AUTHOR = {Morifuji, Takayuki},
TITLE = {A note on von {N}eumann rho-invariant of surface bundles over
the circle},
JOURNAL = {Tohoku Math. J. (2)},
FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
VOLUME = {58},
YEAR = {2006},
NUMBER = {1},
PAGES = {123--127},
ISSN = {0040-8735},
CODEN = {TOMJAM},
MRCLASS = {57M27 (57R20 58J28)},
MRNUMBER = {MR2221795 (2007b:57023)},
MRREVIEWER = {Hans U. Boden},
URL = {http://projecteuclid.org/getRecord?id=euclid.tmj/1145390209},
}
@article{morifuji_secondary_2008,
title = {On a secondary invariant of the hyperelliptic mapping class group},
url = {http://arxiv.org/abs/0804.0666},
abstract = {In this paper, we discuss relations among several invariants of 3-manifolds including Meyer's function, the eta-invariant, the von Neumann rho-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.},
journal = {0804.0666},
author = {Takayuki Morifuji},
month = apr,
year = {2008},
keywords = {{57M27,} {57R20,} Mathematics - Geometric Topology},
}
@book {MR2271293,
TITLE = {Primes and knots},
SERIES = {Contemporary Mathematics},
VOLUME = {416},
AUTHOR = {Kohno, Toshitake and Morishita, Masanori},
NOTE = {Papers from the conferences held in Baltimore, MD, January
15--16, 2003 and March 7--16, 2003},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2006},
PAGES = {viii+284},
ISBN = {978-0-8218-3456-5; 0-8218-3456-8},
MRCLASS = {57-06 (11-06)},
MRNUMBER = {MR2271293 (2007f:57003)},
}
@article {MR0301744,
AUTHOR = {Morita, Shigeyuki},
TITLE = {On the {P}ontrjagin square and the signature},
JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
VOLUME = {18},
YEAR = {1971},
PAGES = {405--414},
MRCLASS = {57B10},
MRNUMBER = {MR0301744 (46 \#899)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR1617632,
AUTHOR = {Morita, Shigeyuki},
TITLE = {Casson invariant, signature defect of framed manifolds and the
secondary characteristic classes of surface bundles},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {47},
YEAR = {1997},
NUMBER = {3},
PAGES = {560--599},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57M50 (57R20)},
MRNUMBER = {MR1617632 (99h:57029)},
MRREVIEWER = {Dave Auckly},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214460550},
}
@book {MR1826571,
AUTHOR = {Morita, Shigeyuki},
TITLE = {Geometry of characteristic classes},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {199},
NOTE = {Translated from the 1999 Japanese original,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xiv+185},
ISBN = {0-8218-2139-3},
MRCLASS = {57R20 (20F38 32G15 55P62 55R40 57R32)},
MRNUMBER = {MR1826571 (2002d:57019)},
MRREVIEWER = {Marcello Felisatti},
}
@book {MR1851352,
AUTHOR = {Morita, Shigeyuki},
TITLE = {Geometry of differential forms},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {201},
NOTE = {Translated from the two-volume Japanese original (1997, 1998)
by Teruko Nagase and Katsumi Nomizu,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xxiv+321},
ISBN = {0-8218-1045-6},
MRCLASS = {58A10 (53C65 55Q25 55S30 57R20 58A12 58A14)},
MRNUMBER = {MR1851352 (2002k:58001)},
MRREVIEWER = {Christian Gross},
}
@article {Poincaregeometry,
AUTHOR = {Morlet, C. and Latour, Francois and Lannes, Jean},
TITLE = {Geometrie des complexes de Poincare},
}
@article {MR974999,
AUTHOR = {Conway, John B. and Herrero, Domingo A. and Morrel, Bernard
B.},
TITLE = {Completing the {R}iesz-{D}unford functional calculus},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {82},
YEAR = {1989},
NUMBER = {417},
PAGES = {iv+104},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {47A60 (47A55)},
MRNUMBER = {MR974999 (90m:47023)},
MRREVIEWER = {Lawrence Fialkow},
}
@article{morris,
title = {Topology without tears},
author = {Sidney Morris},
}
@article {MR1034465,
AUTHOR = {Morrison, Kent},
TITLE = {Discrete {Y}ang-{M}ills connections},
JOURNAL = {Phys. Lett. B},
FJOURNAL = {Physics Letters. B},
VOLUME = {233},
YEAR = {1989},
NUMBER = {3-4},
PAGES = {393--394},
ISSN = {0370-2693},
CODEN = {PYLBAJ},
MRCLASS = {81E13 (53C80 57R99 81E25)},
MRNUMBER = {1034465 (90k:81128)},
MRREVIEWER = {Alan D. Sokal},
DOI = {10.1016/0370-2693(89)91328-2},
URL = {http://dx.doi.org/10.1016/0370-2693(89)91328-2},
}
@book {MR0245046,
AUTHOR = {Morse, Marston and Cairns, Stewart S.},
TITLE = {Critical point theory in global analysis and differential
topology: {A}n introduction},
SERIES = {Pure and Applied Mathematics, Vol. 33},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1969},
PAGES = {xii+389},
MRCLASS = {57.50},
MRNUMBER = {MR0245046 (39 \#6358)},
MRREVIEWER = {J. N. Mather},
}
@article {MR1501576,
AUTHOR = {Morse, Marston},
TITLE = {The critical points of a function of {$n$} variables},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {33},
YEAR = {1931},
NUMBER = {1},
PAGES = {72--91},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R70 (58E05)},
MRNUMBER = {1501576},
DOI = {10.2307/1989459},
URL = {http://dx.doi.org/10.2307/1989459},
}
@article {MR1512617,
AUTHOR = {Morse, Marston},
TITLE = {A generalization of the sturm separation and comparison
theorems in {$n$}-space},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {103},
YEAR = {1930},
NUMBER = {1},
PAGES = {52--69},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512617},
}
@article{Morse1,
AUTHOR = {Morse, Marston},
TITLE = {Relations between the critical points of a real
function of n independent variables},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {27},
YEAR = {1925},
NUMBER = {3},
PAGES = {345--396},
ISSN = {0002-9947},
CODEN = {TAMTAM},
LOCALPDF = "../../papers/morse25.pdf",
}
@article {MR2597238,
AUTHOR = {Morton, Hugh R. and Grishanov, Sergei},
TITLE = {Doubly periodic textile structures},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {18},
YEAR = {2009},
NUMBER = {12},
PAGES = {1597--1622},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {2597238},
DOI = {10.1142/S0218216509007646},
URL = {http://dx.doi.org/10.1142/S0218216509007646},
}
@book {MR0226634,
AUTHOR = {Mosher, Robert E. and Tangora, Martin C.},
TITLE = {Cohomology operations and applications in homotopy theory},
PUBLISHER = {Harper \& Row Publishers},
ADDRESS = {New York},
YEAR = {1968},
PAGES = {x+214},
MRCLASS = {55.40},
MRNUMBER = {MR0226634 (37 \#2223)},
MRREVIEWER = {Laurence R. Smith},
}
@article {MR2105976,
AUTHOR = {Moskovich, Daniel},
TITLE = {Framing and the self-linking integral},
JOURNAL = {Far East J. Math. Sci. (FJMS)},
FJOURNAL = {Far East Journal of Mathematical Sciences (FJMS)},
VOLUME = {14},
YEAR = {2004},
NUMBER = {2},
PAGES = {165--183},
ISSN = {0972-0871},
MRCLASS = {57M27},
MRNUMBER = {MR2105976 (2005g:57033)},
}
@article {MR0087037,
AUTHOR = {Mostow, G. D.},
TITLE = {Equivariant embeddings in {E}uclidean space},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {65},
YEAR = {1957},
PAGES = {432--446},
ISSN = {0003-486X},
MRCLASS = {17.0X},
MRNUMBER = {MR0087037 (19,291c)},
MRREVIEWER = {P. S. Mostert},
}
@book {MR2388043,
AUTHOR = {Kronheimer, Peter and Mrowka, Tomasz},
TITLE = {Monopoles and three-manifolds},
SERIES = {New Mathematical Monographs},
VOLUME = {10},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2007},
PAGES = {xii+796},
ISBN = {978-0-521-88022-0},
MRCLASS = {57R57 (53C27 57N10 57R57 57R58)},
MRNUMBER = {2388043 (2009f:57049)},
MRREVIEWER = {Vicente Mu{\~n}oz},
DOI = {10.1017/CBO9780511543111},
URL = {http://dx.doi.org/10.1017/CBO9780511543111},
}
@book {MR2028588,
AUTHOR = {Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek,
Marian},
TITLE = {Computational homology},
SERIES = {Applied Mathematical Sciences},
VOLUME = {157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2004},
PAGES = {xviii+480},
ISBN = {0-387-40853-3},
MRCLASS = {55-02 (37B30 55M20 55M25 68U10 94A08)},
MRNUMBER = {MR2028588 (2005g:55001)},
MRREVIEWER = {Andrzej Kozlowski},
}
@article {MR1293657,
AUTHOR = {Mueller, Werner},
TITLE = {Eta invariants and manifolds with boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {40},
YEAR = {1994},
NUMBER = {2},
PAGES = {311--377},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58G10 (58G20 58G25)},
MRNUMBER = {MR1293657 (96c:58165)},
MRREVIEWER = {Matthias Lesch},
}
@article {MR0153682,
AUTHOR = {Mumford, David},
TITLE = {The topology of normal singularities of an algebraic surface
and a criterion for simplicity},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {9},
YEAR = {1961},
PAGES = {5--22},
ISSN = {0073-8301},
MRCLASS = {14.18 (14.55)},
MRNUMBER = {MR0153682 (27 \#3643)},
MRREVIEWER = {T. Matsusaka},
}
@article {MR0292836,
AUTHOR = {Mumford, David},
TITLE = {Theta characteristics of an algebraic curve},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {4},
YEAR = {1971},
PAGES = {181--192},
ISSN = {0012-9593},
MRCLASS = {14H99},
MRNUMBER = {MR0292836 (45 \#1918)},
MRREVIEWER = {P. E. Newstead},
}
@book {MR1304906,
AUTHOR = {Mumford, David and Fogarty, J. and Kirwan, Frances},
TITLE = {Geometric invariant theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results
in Mathematics and Related Areas (2)]},
VOLUME = {34},
EDITION = {Third},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xiv+292},
ISBN = {3-540-56963-4},
MRCLASS = {14D25 (58E05 58F05)},
MRNUMBER = {MR1304906 (95m:14012)},
MRREVIEWER = {Yi Hu},
}
@book {MR1913879,
AUTHOR = {Mumford, David and Series, Caroline and Wright, David},
TITLE = {Indra's pearls},
NOTE = {The vision of Felix Klein},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York},
YEAR = {2002},
PAGES = {xx+396},
ISBN = {0-521-35253-3},
MRCLASS = {00A05 (20H10 28A80 30F40 37F30 52C26 68R15)},
MRNUMBER = {1913879 (2003f:00005)},
MRREVIEWER = {Vasily A. Chernecky},
}
@article {MR525622,
AUTHOR = {Munkholm, Hans J.},
TITLE = {A chain level transfer homomorphism for {PL} fibrations},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {166},
YEAR = {1979},
NUMBER = {2},
PAGES = {183--186},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55R60 (57Q99)},
MRNUMBER = {MR525622 (82g:55020)},
MRREVIEWER = {Norman Levitt},
}
@article {MR639359,
AUTHOR = {Munkholm, Hans J. and Pedersen, Erik K.},
TITLE = {Whitehead transfers for {$S\sp{1}$}-bundles, an algebraic
description},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {56},
YEAR = {1981},
NUMBER = {3},
PAGES = {404--430},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q10 (18F25)},
MRNUMBER = {MR639359 (83c:57007)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR712261,
AUTHOR = {Munkholm, Hans J. and Pedersen, Erik K.},
TITLE = {The {$S\sp{1}$}-transfer in surgery theory},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {280},
YEAR = {1983},
NUMBER = {1},
PAGES = {277--302},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R67 (18F25)},
MRNUMBER = {MR712261 (85e:57037)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR0198479,
AUTHOR = {Munkres, James R.},
TITLE = {Elementary differential topology},
SERIES = {Lectures given at Massachusetts Institute of Technology, Fall},
VOLUME = {1961},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1966},
PAGES = {xi+112},
MRCLASS = {57.00},
MRNUMBER = {0198479 (33 \#6637)},
}
@book {MR0464128,
AUTHOR = {Munkres, James R.},
TITLE = {Topology: a first course},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1975},
PAGES = {xvi+413},
MRCLASS = {54-01},
MRNUMBER = {MR0464128 (57 \#4063)},
}
@article {MR736476,
AUTHOR = {Munkres, James R.},
TITLE = {Topological results in combinatorics},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {31},
YEAR = {1984},
NUMBER = {1},
PAGES = {113--128},
ISSN = {0026-2285},
MRCLASS = {13H10 (06A10 13D05)},
MRNUMBER = {736476 (85k:13022)},
MRREVIEWER = {Chr. U. Jensen},
DOI = {10.1307/mmj/1029002969},
URL = {http://dx.doi.org/10.1307/mmj/1029002969},
}
@book {MR755006,
AUTHOR = {Munkres, James R.},
TITLE = {Elements of algebraic topology},
PUBLISHER = {Addison-Wesley Publishing Company},
ADDRESS = {Menlo Park, CA},
YEAR = {1984},
PAGES = {ix+454},
ISBN = {0-201-04586-9},
MRCLASS = {55-01},
MRNUMBER = {MR755006 (85m:55001)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR0099664,
AUTHOR = {Murasugi, Kunio},
TITLE = {On the genus of the alternating knot. {I}, {II}},
JOURNAL = {J. Math. Soc. Japan},
VOLUME = {10},
YEAR = {1958},
PAGES = {94--105, 235--248},
MRCLASS = {55.00},
MRNUMBER = {MR0099664 (20 \#6103a)},
}
@article {MR0157375,
AUTHOR = {Murasugi, Kunio},
TITLE = {On a certain subgroup of the group of an alternating link},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {85},
YEAR = {1963},
PAGES = {544--550},
ISSN = {0002-9327},
MRCLASS = {55.20},
MRNUMBER = {0157375 (28 \#609)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0171275,
AUTHOR = {Murasugi, Kunio},
TITLE = {On a certain numerical invariant of link types},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {117},
YEAR = {1965},
PAGES = {387--422},
ISSN = {0002-9947},
MRCLASS = {55.20},
MRNUMBER = {MR0171275 (30 \#1506)},
MRREVIEWER = {R. H. Fox},
}
@incollection {MR2276141,
AUTHOR = {Murasugi, Kunio},
TITLE = {Classical knot invariants and elementary number theory},
BOOKTITLE = {Primes and knots},
SERIES = {Contemp. Math.},
VOLUME = {416},
PAGES = {167--196},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2006},
MRCLASS = {57M27 (11Z05 57M25)},
MRNUMBER = {MR2276141 (2009b:57028)},
MRREVIEWER = {Ying Zhang},
}
@book {MR2347576,
AUTHOR = {Murasugi, Kunio},
TITLE = {Knot theory \& its applications},
SERIES = {Modern Birkh\"auser Classics},
NOTE = {Translated from the 1993 Japanese original by Bohdan Kurpita,
Reprint of the 1996 translation [MR1391727]},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {2008},
PAGES = {x+341},
ISBN = {978-0-8176-4718-6},
MRCLASS = {57M25},
MRNUMBER = {MR2347576},
}
@article {MR617628,
AUTHOR = {Gordon, C. McA. and Litherland, R. A. and Murasugi, Kunio},
TITLE = {Signatures of covering links},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {33},
YEAR = {1981},
NUMBER = {2},
PAGES = {381--394},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57M25},
MRNUMBER = {MR617628 (83a:57006)},
MRREVIEWER = {J. P. Levine},
}
@article {MR604709,
AUTHOR = {Eckmann, Beno and M{\"u}ller, Heinz},
TITLE = {Poincar\'e duality groups of dimension two},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {4},
PAGES = {510--520},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M20 (57P10)},
MRNUMBER = {MR604709 (82f:57002)},
MRREVIEWER = {R. M. F. Moss},
}
@article{math.GN/0506525,
title = {{Carrier and Nerve Theorems in the Extension Theory}},
author = {Andrzej Nag\'orko},
eprint = {arXiv:math.GN/0506525},
}
@article {MR2135741,
AUTHOR = {Endo, Hisaaki and Nagami, Seiji},
TITLE = {Signature of relations in mapping class groups and
non-holomorphic {L}efschetz fibrations},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {357},
YEAR = {2005},
NUMBER = {8},
PAGES = {3179--3199},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R20 (20F05 57N13)},
MRNUMBER = {2135741 (2006g:57051)},
MRREVIEWER = {Dave Auckly},
DOI = {10.1090/S0002-9947-04-03643-8},
URL = {http://dx.doi.org/10.1090/S0002-9947-04-03643-8},
}
@incollection {MR520522,
AUTHOR = {Stallings, John},
TITLE = {Constructions of fibred knots and links},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {55--60},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57M25},
MRNUMBER = {520522 (80e:57004)},
MRREVIEWER = {Kenneth A. Perko, Jr.},
}
@article {MR1999640,
AUTHOR = {Naik, Swatee and Stanford, Theodore},
TITLE = {A move on diagrams that generates {$S$}-equivalence of knots},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {12},
YEAR = {2003},
NUMBER = {5},
PAGES = {717--724},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {MR1999640 (2004f:57014)},
MRREVIEWER = {Paola Bandieri},
}
@article {MR0071081,
AUTHOR = {Nash, John},
TITLE = {A path space and the {S}tiefel-{W}hitney classes},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {41},
YEAR = {1955},
PAGES = {320--321},
MRCLASS = {53.1X},
MRNUMBER = {MR0071081 (17,80a)},
MRREVIEWER = {S. T. Hu},
}
@article {MR2006401,
AUTHOR = {Natov, Jonathan},
TITLE = {On signatures and a subgroup of a central extension to the
mapping class group},
JOURNAL = {Homology Homotopy Appl.},
FJOURNAL = {Homology, Homotopy and Applications},
VOLUME = {5},
YEAR = {2003},
NUMBER = {1},
PAGES = {251--260},
ISSN = {1512-0139},
MRCLASS = {57M25 (20F36 57N05 57N13)},
MRNUMBER = {MR2006401 (2005d:57009)},
URL = {http://projecteuclid.org/getRecord?id=euclid.hha/1139839934},
}
@article {MR638124,
AUTHOR = {Kre{\u\i}n, M. G. and Na{\u\i}mark, M. A.},
TITLE = {The method of symmetric and {H}ermitian forms in the theory of
the separation of the roots of algebraic equations},
NOTE = {Translated from the Russian by O. Boshko and J. L. Howland},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {10},
YEAR = {1981},
NUMBER = {4},
PAGES = {265--308},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {12D10 (12-02 12E12 15A63)},
MRNUMBER = {MR638124 (84i:12016)},
}
@article {MR2264460,
AUTHOR = {Clerc, Jean-Louis and Neeb, Karl-Hermann},
TITLE = {Orbits of triples in the {S}hilov boundary of a bounded
symmetric domain},
JOURNAL = {Transform. Groups},
FJOURNAL = {Transformation Groups},
VOLUME = {11},
YEAR = {2006},
NUMBER = {3},
PAGES = {387--426},
ISSN = {1083-4362},
MRCLASS = {32M15 (53D12)},
MRNUMBER = {MR2264460 (2007j:32016)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/s00031-005-1117-2},
URL = {http://dx.doi.org/10.1007/s00031-005-1117-2},
}
@article {MR1080854,
AUTHOR = {Neeman, Amnon},
TITLE = {The derived category of an exact category},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {135},
YEAR = {1990},
NUMBER = {2},
PAGES = {388--394},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18E30},
MRNUMBER = {MR1080854 (91m:18016)},
MRREVIEWER = {Jeremy Rickard},
}
@article {MR1191736,
AUTHOR = {Neeman, Amnon},
TITLE = {The connection between the {$K$}-theory localization theorem
of {T}homason, {T}robaugh and {Y}ao and the smashing
subcategories of {B}ousfield and {R}avenel},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {25},
YEAR = {1992},
NUMBER = {5},
PAGES = {547--566},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {18E30 (19D10 19E08)},
MRNUMBER = {MR1191736 (93k:18015)},
MRREVIEWER = {Steven E. Landsburg},
}
@article {MR2332610,
AUTHOR = {Neeman, Amnon},
TITLE = {Noncommutative localisation in algebraic {$K$}-theory. {II}},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {213},
YEAR = {2007},
NUMBER = {2},
PAGES = {785--819},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {19D10 (16E20 55P60)},
MRNUMBER = {2332610 (2008d:19001)},
MRREVIEWER = {Charles Weibel},
DOI = {10.1016/j.aim.2007.01.010},
URL = {http://dx.doi.org/10.1016/j.aim.2007.01.010},
}
@book {MR2358675,
AUTHOR = {Neeman, Amnon},
TITLE = {Algebraic and analytic geometry},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {345},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2007},
PAGES = {xii+420},
ISBN = {978-0-521-70983-5},
MRCLASS = {14-01},
MRNUMBER = {MR2358675 (2008m:14001)},
MRREVIEWER = {Jon Eivind Vatne},
}
@article{math.RA/0109118,
author = {Amnon Neeman and Andrew Ranicki},
title = {{Noncommutative localization and chain complexes I. Algebraic
K- and L-theory}},
}
@article{math.RA/0205034,
author = {Amnon Neeman and Andrew Ranicki and Aidan Schofield},
title = {{Representations of algebras as universal localizations}},
howpublished = {Math. Proc. Camb. Phil. Soc. 136, 105-117 (2004)},
eprint = {http://www.arXiv.org/math.RA/0205034},
}
@article{math.RA/0410620,
title = {Noncommutative localisation in algebraic K-theory I.},
author = {Amnon Neeman and Andrew Ranicki},
howpublished={Geometry and Topology, Vol. 8 (2004) Paper no. 38, pages 1385--1425.},
}
@article{neems,
AUTHOR={Neeman, Amnon},
TITLE={K-theory of triangulated categories},
}
@article {MR1082029,
AUTHOR = {Nekovar, Ya.},
TITLE = {The {M}aslov index and {C}lifford algebras},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego
Prilozheniya},
VOLUME = {24},
YEAR = {1990},
NUMBER = {3},
PAGES = {36--44, 96},
ISSN = {0374-1990},
MRCLASS = {11E88 (15A66 16E20 19C09)},
MRNUMBER = {MR1082029 (92b:11024)},
MRREVIEWER = {Vladimir I. Chernousov},
DOI = {10.1007/BF01077960},
URL = {http://dx.doi.org/10.1007/BF01077960},
}
@article {MR1262666,
AUTHOR = {Nemethi, Andras},
TITLE = {The semi-ring structure and the spectral pairs of
sesqui-linear forms},
JOURNAL = {Algebra Colloq.},
FJOURNAL = {Algebra Colloquium},
VOLUME = {1},
YEAR = {1994},
NUMBER = {1},
PAGES = {85--95},
ISSN = {1005-3867},
MRCLASS = {32S55 (11E39 32S35)},
MRNUMBER = {MR1262666 (95a:32058)},
}
@article {MR1318876,
AUTHOR = {Nemethi, Andras},
TITLE = {The equivariant signature of hypersurface singularities and
eta-invariant},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {2},
PAGES = {243--259},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {32S40 (32S25 32S35 32S55 57R99)},
MRNUMBER = {MR1318876 (96a:32063)},
MRREVIEWER = {Jan Stevens},
DOI = {10.1016/0040-9383(94)00031-F},
URL = {http://dx.doi.org/10.1016/0040-9383(94)00031-F},
}
@article {MR1353284,
AUTHOR = {Nemethi, Andras},
TITLE = {The real {S}eifert form and the spectral pairs of isolated
hypersurface singularities},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {98},
YEAR = {1995},
NUMBER = {1},
PAGES = {23--41},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {32S35 (14C30 32S25 32S55)},
MRNUMBER = {MR1353284 (96i:32036)},
MRREVIEWER = {Aleksandr G. Aleksandrov},
}
@article {MR1362076,
AUTHOR = {Nemethi, Andras},
TITLE = {The eta-invariant of variation structures. {I}},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {67},
YEAR = {1995},
NUMBER = {2},
PAGES = {95--111},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {32S55 (11E39 57R20 57R45)},
MRNUMBER = {MR1362076 (96j:32054)},
MRREVIEWER = {Jan Stevens},
}
@incollection {MR1449162,
AUTHOR = {Nemethi, Andras},
TITLE = {Variation structures: results and open problems},
BOOKTITLE = {Singularities and differential equations ({W}arsaw, 1993)},
SERIES = {Banach Center Publ.},
VOLUME = {33},
PAGES = {245--257},
PUBLISHER = {Polish Acad. Sci.},
ADDRESS = {Warsaw},
YEAR = {1996},
MRCLASS = {32S50 (32S55)},
MRNUMBER = {MR1449162 (98g:32065)},
MRREVIEWER = {Enrique Artal Bartolo},
}
@incollection {MR1652469,
AUTHOR = {Nemethi, Andras},
TITLE = {On the spectrum of curve singularities},
BOOKTITLE = {Singularities ({O}berwolfach, 1996)},
SERIES = {Progr. Math.},
VOLUME = {162},
PAGES = {93--102},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1998},
MRCLASS = {32S35 (14H20)},
MRNUMBER = {MR1652469 (99k:32066)},
MRREVIEWER = {Mihai Tib{\u{a}}r},
}
@article {MR1694898,
AUTHOR = {Nemethi, Andras},
TITLE = {Dedekind sums and the signature of {$f(x,y)+z\sp N$}. {II}},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {5},
YEAR = {1999},
NUMBER = {1},
PAGES = {161--179},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {32S25 (11F20 32S55)},
MRNUMBER = {MR1694898 (2000f:32039)},
MRREVIEWER = {Jan Stevens},
}
@article {MR1741486,
AUTHOR = {Nemethi, Andras},
TITLE = {Casson invariant of cyclic coverings via eta-invariant and
{D}edekind sums},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {102},
YEAR = {2000},
NUMBER = {2},
PAGES = {181--193},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57M27 (11F20 57M12 57N10)},
MRNUMBER = {MR1741486 (2001b:57030)},
}
@incollection {MR1747272,
AUTHOR = {Nemethi, Andras},
TITLE = {Some topological invariants of isolated hypersurface
singularities},
BOOKTITLE = {Low dimensional topology ({E}ger, 1996/{B}udapest, 1998)},
SERIES = {Bolyai Soc. Math. Stud.},
VOLUME = {8},
PAGES = {353--413},
PUBLISHER = {J\'anos Bolyai Math. Soc.},
ADDRESS = {Budapest},
YEAR = {1999},
MRCLASS = {32S25 (14E15 32S55)},
MRNUMBER = {MR1747272 (2001d:32041)},
MRREVIEWER = {Aleksandr G. Aleksandrov},
}
@article {MR2308954,
AUTHOR = {Nemethi, Andras},
TITLE = {Dedekind sums and the signature of {$f(x,y)+z\sp N$}},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {4},
YEAR = {1998},
NUMBER = {2},
PAGES = {361--376},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {32S55 (11F20 32S25)},
MRNUMBER = {MR1669948 (99m:32050)},
MRREVIEWER = {Jan Stevens},
}
@article{borodzik_hodge-type_2010,
title = {Hodge-type structures as link invariants},
url = {http://arxiv.org/abs/1005.2084},
abstract = {Based on some analogies with the Hodge theory of isolated hypersurface singularities, we define Hodge-type numerical invariants (called H-numbers) of any, not necessarily algebraic, link in {\$S{\textasciicircum}3\$.} They contain the same information as the (normalized) real Seifert matrix. We study their basic properties, we express the {Tristram-Levine} signatures and the higher order Alexander polynomial in terms of them. Motivated by singularity theory, we also introduce the spectrum of the link (determined from these H-numbers), and we establish some semicontinuity properties for it.},
journal = {1005.2084},
author = {Maciej Borodzik and Andras Nemethi},
month = may,
year = {2010},
keywords = {{57M25,} {32S25,} {14D07,} {14H20,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article{borodzik_spectrum_2011,
title = {Spectrum of plane curves via knot theory},
url = {http://arxiv.org/abs/1101.5471},
abstract = {We use topological methods to study various semicontinuity properties of spectra of singular points of plane algebraic curves and of polynomials in two variables at infinity. Using Seifert forms and the {Tristram--Levine} signatures of links, we reprove (in a slightly weaker version) a result obtained by Steenbrink and Varchenko on semicontinuity of spectrum at infinity. We also relate the spectrum at infinity of a polynomial with spectra of singular points of a chosen fiber.},
journal = {1101.5471},
author = {Maciej Borodzik and Andras Nemethi},
month = jan,
year = {2011},
keywords = {{32S55,} {14B07,} {14D07,} {14H50,} {32G20,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article{nemethi_milnor_2009,
title = {Milnor fibre boundary of a non-isolated surface singularity},
url = {http://arxiv.org/abs/0909.0354},
abstract = {Let f be a hypersurface surface local singularity whose zero set has 1-dimensional singular locus. We develop an explicit procedure that provides the boundary of the Milnor fibre of f as an oriented plumbed 3-manifold. The method provides the characteristic polynomial of the algebraic monodromy as well. Moreover, for any analytic germ g such that the pair (f,g) is an isolated complete intersection singularity, the (multiplicity system of the) open book decomposition of the boundary with binding determined by g and pages determined by the argument of g is also computed. In order to do this, we have to establish key results regarding the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the {ICIS} (f,g). The theory is supported by many examples. E.g. the case of homogeneous singularities (including the case of arrangements) is detailed completely. A list of especially peculiar examples, and also a list of related open problems is given.},
journal = {0909.0354},
author = {Nemethi, Andras and Szilard, Agnes},
month = sep,
year = {2009},
keywords = {{32S25} {(Primary)}, {32S05}, {32S22}, {32S35}, {32S40}, {32S45}, {32S55}, {14J17}, {14B05}, {14P15}, {57M27} {(Secondary)}, Mathematics - Algebraic Geometry},
}
@article {MR2306217,
AUTHOR = {Manzoli Neto, Oziride and Massago, Sadao and Saeki, Osamu},
TITLE = {Open book structures on {$(n-1)$}-connected
{$(2n+1)$}-manifolds},
JOURNAL = {J. Math. Sci. Univ. Tokyo},
FJOURNAL = {The University of Tokyo. Journal of Mathematical Sciences},
VOLUME = {13},
YEAR = {2006},
NUMBER = {4},
PAGES = {439--523},
ISSN = {1340-5705},
MRCLASS = {57Q45 (57R65)},
MRNUMBER = {MR2306217 (2008i:57029)},
MRREVIEWER = {Sergej V. Matveev},
}
@book {MR2444949,
AUTHOR = {Viro, O. Ya. and Ivanov, O. A. and Netsvetaev, N. Yu. and
Kharlamov, V. M.},
TITLE = {Elementary topology},
NOTE = {Problem textbook},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2008},
PAGES = {xx+400},
ISBN = {978-0-8218-4506-6},
MRCLASS = {55-01 (54-01 57-01)},
MRNUMBER = {MR2444949},
}
@article {netto,
author={Netto, E.},
title={Ein Beitrag zur Mannigfaltigkeitslehre},
journal={Crelle},
year={1879},
volume={86},
pages={263-268},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@book {MR1697859,
AUTHOR = {Neukirch, J.},
TITLE = {Algebraic number theory},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {322},
NOTE = {Translated from the 1992 German original and with a note by
Norbert Schappacher,
With a foreword by G. Harder},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1999},
PAGES = {xviii+571},
ISBN = {3-540-65399-6},
MRCLASS = {11Rxx (11-02 11S15 11S31 14C40)},
MRNUMBER = {MR1697859 (2000m:11104)},
MRREVIEWER = {Cornelius Greither},
}
@article {MR0287554,
AUTHOR = {Neumann, W. D.},
TITLE = {Fibering over the circle within a bordism class},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {192},
YEAR = {1971},
PAGES = {191--192},
ISSN = {0025-5831},
MRCLASS = {57.10},
MRNUMBER = {MR0287554 (44 \#4758)},
MRREVIEWER = {E. C. Turner},
}
@article {MR0317346,
AUTHOR = {Neumann, W. D.},
TITLE = {{$S^{1}$}-actions and the {$\alpha $}-invariant of their
involutions},
NOTE = {Inaugural-Dissertation zur Erlangung des Doktorgrades der
Hohen Mathem.-Naturw. Fakult{\"a}t der Rheinischen
Friedrich-Wilhelms-Universit{\"a}t zu Bonn},
JOURNAL = {Bonn. Math. Schr.},
FJOURNAL = {Bonner Mathematische Schriften},
NUMBER = {44},
YEAR = {1970},
PAGES = {iv+82},
ISSN = {0524-045x},
MRCLASS = {57E15 (57D55)},
MRNUMBER = {MR0317346 (47 \#5893)},
MRREVIEWER = {F. Raymond},
}
@book {MR0341499,
AUTHOR = {Hirzebruch, F. and Neumann, W. D. and Koh, S. S.},
TITLE = {Differentiable manifolds and quadratic forms},
NOTE = {Appendix II by W. Scharlau,
Lecture Notes in Pure and Applied Mathematics, Vol. 4},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1971},
PAGES = {v+120},
MRCLASS = {57D20 (10C05)},
MRNUMBER = {MR0341499 (49 \#6250)},
MRREVIEWER = {A. Dold},
}
@article {MR0358797,
AUTHOR = {Neumann, W. D.},
TITLE = {Cyclic suspension of knots and periodicity of signature for
singularities},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {80},
YEAR = {1974},
PAGES = {977--981},
ISSN = {0002-9904},
MRCLASS = {57C45 (32C40)},
MRNUMBER = {MR0358797 (50 \#11256)},
MRREVIEWER = {Alan H. Durfee},
}
@book {MR0362360,
AUTHOR = {Karras, U. and Kreck, Matthias and Neumann, W. D. and Ossa, E.},
TITLE = {Cutting and pasting of manifolds; {${\rm SK}$}-groups},
NOTE = {Mathematics Lecture Series, No. 1},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1973},
PAGES = {vii+70},
MRCLASS = {57D80 (57D25 57D90)},
MRNUMBER = {0362360 (50 \#14802)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR0380837,
AUTHOR = {Neumann, W. D.},
TITLE = {Manifold cutting and pasting groups},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {14},
YEAR = {1975},
NUMBER = {3},
PAGES = {237--244},
ISSN = {0040-9383},
MRCLASS = {57D80 (57D65 57D90)},
MRNUMBER = {MR0380837 (52 \#1734)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR1012837,
AUTHOR = {Neumann, W. D.},
TITLE = {On bilinear forms represented by trees},
JOURNAL = {Bull. Austral. Math. Soc.},
FJOURNAL = {Bulletin of the Australian Mathematical Society},
VOLUME = {40},
YEAR = {1989},
NUMBER = {2},
PAGES = {303--321},
ISSN = {0004-9727},
CODEN = {ALNBAB},
MRCLASS = {11E92 (15A63 32C40 57R65)},
MRNUMBER = {MR1012837 (90m:11059)},
MRREVIEWER = {Eva Bayer-Fluckiger},
DOI = {10.1017/S0004972700004391},
URL = {http://dx.doi.org/10.1017/S0004972700004391},
}
@article {MR1036128,
AUTHOR = {Neumann, W. D. and Wahl, Jonathan},
TITLE = {Casson invariant of links of singularities},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {65},
YEAR = {1990},
NUMBER = {1},
PAGES = {58--78},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57N12 (32S50 32S55 57M12)},
MRNUMBER = {MR1036128 (91c:57022)},
MRREVIEWER = {Ronald J. Stern},
DOI = {10.1007/BF02566593},
URL = {http://dx.doi.org/10.1007/BF02566593},
}
@book {MR494248,
AUTHOR = {Neumann, W. D.},
TITLE = {Equivariant {W}itt rings},
SERIES = {Bonner Mathematische Schriften [Bonn Mathematical
Publications], 100},
PUBLISHER = {Universit\"at Bonn Mathematisches Institut},
ADDRESS = {Bonn},
YEAR = {1977},
PAGES = {81},
MRCLASS = {57R20 (15A63 20C05)},
MRNUMBER = {MR494248 (80a:57010)},
}
@article {MR508726,
AUTHOR = {Neumann, W. D.},
TITLE = {Multiplicativity of signature},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {13},
YEAR = {1978},
NUMBER = {1},
PAGES = {19--31},
ISSN = {0022-4049},
MRCLASS = {57R22 (55R20)},
MRNUMBER = {508726 (80b:57019)},
MRREVIEWER = {K. Lamotke},
DOI = {10.1016/0022-4049(78)90038-5},
URL = {http://dx.doi.org/10.1016/0022-4049(78)90038-5},
}
@article {MR510309,
AUTHOR = {Neumann, W. D. and Weintraub, Steven H.},
TITLE = {Four-manifolds constructed via plumbing},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {238},
YEAR = {1978},
NUMBER = {1},
PAGES = {71--78},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57R60 (57Q60 57R65)},
MRNUMBER = {MR510309 (80g:57047)},
MRREVIEWER = {Alan H. Durfee},
DOI = {10.1007/BF01351456},
URL = {http://dx.doi.org/10.1007/BF01351456},
}
@incollection {MR518415,
AUTHOR = {Neumann, W. D. and Raymond, Frank},
TITLE = {Seifert manifolds, plumbing, {$\mu $}-invariant and
orientation reversing maps},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos., {U}niv.
{C}alifornia, {S}anta {B}arbara, {C}alif., 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {664},
PAGES = {163--196},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57N10 (14J17 32B99)},
MRNUMBER = {MR518415 (80e:57008)},
MRREVIEWER = {M. Sebastiani},
}
@incollection {MR520534,
AUTHOR = {Neumann, W. D.},
TITLE = {Homotopy invariance of {A}tiyah invariants},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {181--188},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R20 (58G10)},
MRNUMBER = {520534 (81c:57023)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR544156,
AUTHOR = {Neumann, W. D.},
TITLE = {Signature related invariants of manifolds. {I}. {M}onodromy
and {$\gamma $}-invariants},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {18},
YEAR = {1979},
NUMBER = {2},
PAGES = {147--172},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R20 (10C07 57R15)},
MRNUMBER = {MR544156 (80k:57048)},
MRREVIEWER = {K. Lamotke},
}
@incollection {MR585657,
AUTHOR = {Neumann, W. D.},
TITLE = {An invariant of plumbed homology spheres},
BOOKTITLE = {Topology {S}ymposium, {S}iegen 1979 ({P}roc. {S}ympos.,
{U}niv. {S}iegen, {S}iegen, 1979)},
SERIES = {Lecture Notes in Math.},
VOLUME = {788},
PAGES = {125--144},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1980},
MRCLASS = {57R90 (57Q15)},
MRNUMBER = {585657 (82j:57033)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR632532,
AUTHOR = {Neumann, W. D.},
TITLE = {A calculus for plumbing applied to the topology of complex
surface singularities and degenerating complex curves},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {268},
YEAR = {1981},
NUMBER = {2},
PAGES = {299--344},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {32B30 (14J17 32J15 57N10)},
MRNUMBER = {MR632532 (84a:32015)},
MRREVIEWER = {Anatoly Libgober},
DOI = {10.2307/1999331},
URL = {http://dx.doi.org/10.2307/1999331},
}
@incollection {MR728588,
AUTHOR = {Neumann, W. D.},
TITLE = {Invariants of plane curve singularities},
BOOKTITLE = {Knots, braids and singularities ({P}lans-sur-{B}ex, 1982)},
SERIES = {Monogr. Enseign. Math.},
VOLUME = {31},
PAGES = {223--232},
PUBLISHER = {Enseignement Math.},
ADDRESS = {Geneva},
YEAR = {1983},
MRCLASS = {14H20 (57M25)},
MRNUMBER = {MR728588 (85c:14019)},
MRREVIEWER = {Alan H. Durfee},
}
@book {MR817982,
AUTHOR = {Eisenbud, David and Neumann, W. D.},
TITLE = {Three-dimensional link theory and invariants of plane curve
singularities},
SERIES = {Annals of Mathematics Studies},
VOLUME = {110},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1985},
PAGES = {vii+173},
ISBN = {0-691-08380-0; 0-691-08381-9},
MRCLASS = {57M25 (14H20 57S15)},
MRNUMBER = {MR817982 (87g:57007)},
MRREVIEWER = {Christopher W. Stark},
}
@incollection {MR894301,
AUTHOR = {Neumann, W. D.},
TITLE = {Splicing algebraic links},
BOOKTITLE = {Complex analytic singularities},
SERIES = {Adv. Stud. Pure Math.},
VOLUME = {8},
PAGES = {349--361},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1987},
MRCLASS = {57M25 (14B05 14H20 32B30 57N10)},
MRNUMBER = {894301 (88e:57009)},
MRREVIEWER = {Lee Rudolph},
}
@article {signature,
AUTHOR = {Neumann, W. D.},
TITLE={Signature of hermitian coefficient systems},
}
@article {MR0488073,
AUTHOR = {Kauffman, Louis and Neumann, Walter D.},
TITLE = {Products of knots, branched fibrations and sums of
singularities},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {16},
YEAR = {1977},
NUMBER = {4},
PAGES = {369--393},
ISSN = {0040-9383},
MRCLASS = {57C45 (14B05)},
MRNUMBER = {0488073 (58 \#7644)},
MRREVIEWER = {Lee Rudolph},
}
@article {MR0120648,
AUTHOR = {Neuwirth, L.},
TITLE = {The algebraic determination of the genus of knots},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {82},
YEAR = {1960},
PAGES = {791--798},
ISSN = {0002-9327},
MRCLASS = {55.00},
MRNUMBER = {MR0120648 (22 \#11397)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0133817,
AUTHOR = {Neuwirth, L.},
TITLE = {The algebraic determination of the topological type of the
complement of a knot},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {12},
YEAR = {1961},
PAGES = {904--906},
ISSN = {0002-9939},
MRCLASS = {55.20},
MRNUMBER = {MR0133817 (24 \#A3642)},
MRREVIEWER = {R. H. Fox},
}
@book {MR0176462,
AUTHOR = {Neuwirth, L.},
TITLE = {Knot groups},
SERIES = {Annals of Mathematics Studies, No. 56},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1965},
PAGES = {vi+113},
MRCLASS = {55.20},
MRNUMBER = {MR0176462 (31 \#734)},
MRREVIEWER = {S. Kinoshita},
}
@book {MR0368009,
TITLE = {Knots, groups, and {$3$}-manifolds},
AUTHOR = {Neuwirth, L.},
NOTE = {Papers dedicated to the memory of R. H. Fox,
Annals of Mathematics Studies, No. 84},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1975},
PAGES = {xi+335},
MRCLASS = {57-06},
MRNUMBER = {MR0368009 (51 \#4251)},
}
@article {MR0193639,
AUTHOR = {Hirsch, Morris W. and Neuwirth, Lee P.},
TITLE = {On piecewise regular {$n$}-knots},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {80},
YEAR = {1964},
PAGES = {594--612},
ISSN = {0003-486X},
MRCLASS = {57.20},
MRNUMBER = {0193639 (33 \#1855)},
MRREVIEWER = {F. Raymond},
}
@article {MR0251054,
AUTHOR = {Newman, M. H. A.},
TITLE = {The engulfing theorem for topological manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {555--571},
ISSN = {0003-486X},
MRCLASS = {54.78},
MRNUMBER = {MR0203708 (34 \#3557)},
MRREVIEWER = {R. H. Rosen},
}
@book {MR0340283,
AUTHOR = {Newman, Morris},
TITLE = {Integral matrices},
NOTE = {Pure and Applied Mathematics, Vol. 45},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {xvii+224},
MRCLASS = {15A33},
MRNUMBER = {MR0340283 (49 \#5038)},
MRREVIEWER = {B. M. Stewart},
}
@article {MR1135782,
AUTHOR = {Nicas, Andrew J.},
TITLE = {Classifying pairs of {L}agrangians in a {H}ermitian vector
space},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {42},
YEAR = {1991},
NUMBER = {1},
PAGES = {71--81},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R22 (58F05)},
MRNUMBER = {MR1135782 (92j:57018)},
MRREVIEWER = {William Goldman},
DOI = {10.1016/0166-8641(91)90033-I},
URL = {http://dx.doi.org/10.1016/0166-8641(91)90033-I},
}
@article {MR668807,
AUTHOR = {Nicas, Andrew J.},
TITLE = {Induction theorems for groups of homotopy manifold structures},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {39},
YEAR = {1982},
NUMBER = {267},
PAGES = {vi+108},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {57R67 (18F25 57R65)},
MRNUMBER = {MR668807 (83i:57026)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR2256682,
AUTHOR = {Nicholson, Victor A.},
TITLE = {Twisted surfaces},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {40},
YEAR = {2006},
NUMBER = {2},
PAGES = {105--117},
ISSN = {0259-9791},
MRCLASS = {57M25 (57M15 92C40)},
MRNUMBER = {MR2256682},
}
@article{math.GT/0609148,
title = {{A Laundry Surface for Braids}},
author = {Victor A. Nicholson},
eprint = {arXiv:math.GT/0609148},
}
@article {MR1369400,
AUTHOR = {Nicolaescu, Liviu I.},
TITLE = {The {M}aslov index, the spectral flow, and decompositions of
manifolds},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {80},
YEAR = {1995},
NUMBER = {2},
PAGES = {485--533},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {58G10 (57R57 58F05 58G25)},
MRNUMBER = {MR1369400 (96k:58208)},
MRREVIEWER = {Paul A. Kirk},
}
@article {MR1914570,
AUTHOR = {N{\'e}methi, Andr{\'a}s and Nicolaescu, Liviu I.},
TITLE = {Seiberg-{W}itten invariants and surface singularities},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {6},
YEAR = {2002},
PAGES = {269--328 (electronic)},
ISSN = {1465-3060},
MRCLASS = {14J17 (14B05 14J80 32S25 57M27 57R57)},
MRNUMBER = {MR1914570 (2003i:14048)},
MRREVIEWER = {Olivier Collin},
DOI = {10.2140/gt.2002.6.269},
URL = {http://dx.doi.org/10.2140/gt.2002.6.269},
}
@book {MR1968575,
AUTHOR = {Nicolaescu, Liviu I.},
TITLE = {The {R}eidemeister torsion of 3-manifolds},
SERIES = {de Gruyter Studies in Mathematics},
VOLUME = {30},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {xiv+249},
ISBN = {3-11-017383-2},
MRCLASS = {57M27 (57N10 57Q10 57R57)},
MRNUMBER = {MR1968575 (2004e:57018)},
MRREVIEWER = {Daniel Ruberman},
}
@book {MR2298610,
AUTHOR = {Nicolaescu, Liviu I.},
TITLE = {An invitation to {M}orse theory},
SERIES = {Universitext},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2007},
PAGES = {xiv+241},
ISBN = {978-0-387-49509-5; 0-387-49509-6},
MRCLASS = {58E05 (32Sxx 57R45)},
MRNUMBER = {MR2298610},
}
@article {MR2851711,
AUTHOR = {Ricca, Renzo L. and Nipoti, Bernardo},
TITLE = {Gauss' linking number revisited},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {20},
YEAR = {2011},
NUMBER = {10},
PAGES = {1325--1343},
ISSN = {0218-2165},
MRCLASS = {57M25 (57M27 78A25)},
MRNUMBER = {2851711 (2012j:57017)},
MRREVIEWER = {Mattia Mecchia},
DOI = {10.1142/S0218216511009261},
URL = {http://dx.doi.org/10.1142/S0218216511009261},
}
@article {MR1354598,
AUTHOR = {Brezis, H. and Nirenberg, L.},
TITLE = {Degree theory and {BMO}. {I}. {C}ompact manifolds without
boundaries},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {1},
YEAR = {1995},
NUMBER = {2},
PAGES = {197--263},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {58C30 (47H11 49Q20)},
MRNUMBER = {1354598 (96g:58023)},
MRREVIEWER = {Maria J. Esteban},
DOI = {10.1007/BF01671566},
URL = {http://dx.doi.org/10.1007/BF01671566},
}
@article {MR1422201,
AUTHOR = {Brezis, H. and Nirenberg, L.},
TITLE = {Degree theory and {BMO}. {II}. {C}ompact manifolds with
boundaries},
NOTE = {With an appendix by the authors and Petru Mironescu},
JOURNAL = {Selecta Math. (N.S.)},
FJOURNAL = {Selecta Mathematica. New Series},
VOLUME = {2},
YEAR = {1996},
NUMBER = {3},
PAGES = {309--368},
ISSN = {1022-1824},
CODEN = {SMATF6},
MRCLASS = {58C30 (46E35 47B35 47H11)},
MRNUMBER = {1422201 (98a:58024)},
MRREVIEWER = {Yi Hong Du},
DOI = {10.1007/BF01587948},
URL = {http://dx.doi.org/10.1007/BF01587948},
}
@book {MR0080123,
AUTHOR = {Niven, Ivan},
TITLE = {Irrational numbers},
SERIES = {The Carus Mathematical Monographs, No. 11},
PUBLISHER = {The Mathematical Association of America. Distributed by John
Wiley and Sons, Inc., New York, N.Y.},
YEAR = {1956},
PAGES = {xii+164},
MRCLASS = {10.1X},
MRNUMBER = {MR0080123 (18,195c)},
MRREVIEWER = {I. A. Barnett},
}
@article{math.GT/0503252,
title = {{Zeros of the Alexander polynomial of knot}},
author = {Akio Noguchi},
eprint = {arXiv:math.GT/0503252},
}
@article{math.GT/0505531,
title = {{A functional equation for the Lefschetz zeta functions of
infinite cyclic coverings with an application to knot theory}},
author = {Akio Noguchi},
eprint = {arXiv:math.GT/0505531},
}
@book {MR13939401,
AUTHOR = {Kobayashi, Shoshichi and Nomizu, Katsumi},
TITLE = {Foundations of differential geometry. {V}ol. {I}},
SERIES = {Wiley Classics Library},
NOTE = {Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1996},
PAGES = {xii+329},
ISBN = {0-471-15733-3},
MRCLASS = {53-01},
MRNUMBER = {1393940 (97c:53001a)},
}
@book {MR13939402,
AUTHOR = {Kobayashi, Shoshichi and Nomizu, Katsumi},
TITLE = {Foundations of differential geometry. {V}ol. {II}},
SERIES = {Wiley Classics Library},
NOTE = {Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1996},
PAGES = {xii+329},
ISBN = {0-471-15733-3},
MRCLASS = {53-01},
MRNUMBER = {1393940 (97c:53001b)},
}
@article {MR0132545,
AUTHOR = {Nomura, Yasutoshi},
TITLE = {On mapping sequences},
JOURNAL = {Nagoya Math. J.},
FJOURNAL = {Nagoya Mathematical Journal},
VOLUME = {17},
YEAR = {1960},
PAGES = {111--145},
ISSN = {0027-7630},
MRCLASS = {55.40},
MRNUMBER = {0132545 (24 \#A2385)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR2079597,
AUTHOR = {Bauer, Tilman and Kitchloo, Nitu and Notbohm, Dietrich and
Pedersen, Erik K.},
TITLE = {Finite loop spaces are manifolds},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {192},
YEAR = {2004},
NUMBER = {1},
PAGES = {5--31},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {57R19 (55P35 55P45 57R10 57R65)},
MRNUMBER = {2079597 (2005i:57035)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.1007/BF02441084},
URL = {http://dx.doi.org/10.1007/BF02441084},
}
@article{nouh_torus_2001,
title = {Torus knots that cannot be untied by twisting},
url = {http://arxiv.org/abs/math/0102208},
abstract = {We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.},
journal = {math/0102208},
author = {Mohamed Ait Nouh and Akira Yasuhara},
month = feb,
year = {2001},
keywords = {{57M25} {(Primary)} {57R95} {(Secondary),} Mathematics - Geometric Topology},
}
@article {96,
AUTHOR = {Novikov, S. P.},
TITLE = {Algebraic topology at the Steklov Mathematical
Institute of the Academy of Sciences of the USSR},
YEAR = {1996},
}
@article {MR0157381,
AUTHOR = {Novikov, S. P.},
TITLE = {Homotopy properties of {T}hom complexes},
JOURNAL = {Mat. Sb. (N.S.)},
VOLUME = {57 (99)},
YEAR = {1962},
PAGES = {407--442},
MRCLASS = {55.50 (55.60)},
MRNUMBER = {MR0157381 (28 \#615)},
MRREVIEWER = {J. W. Jaworowski},
}
@article {MR0162246,
AUTHOR = {Novikov, S. P.},
TITLE = {Homotopically equivalent smooth manifolds. {I}},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {28},
YEAR = {1964},
PAGES = {365--474},
ISSN = {0373-2436},
MRCLASS = {57.10},
MRNUMBER = {MR0162246 (28 \#5445)},
MRREVIEWER = {A. H. Wallace},
}
@article {MR0196764,
AUTHOR = {Novikov, S. P.},
TITLE = {Rational {P}ontrjagin classes. {H}omeomorphism and homotopy
type of closed manifolds. {I}},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {29},
YEAR = {1965},
PAGES = {1373--1388},
ISSN = {0373-2436},
MRCLASS = {57.32},
MRNUMBER = {MR0196764 (33 \#4950)},
MRREVIEWER = {A. H. Wallace},
}
@article {MR0196765,
AUTHOR = {Novikov, S. P.},
TITLE = {On manifolds with free abelian fundamental group and their
application},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {30},
YEAR = {1966},
PAGES = {207--246},
ISSN = {0373-2436},
MRCLASS = {57.32},
MRNUMBER = {MR0196765 (33 \#4951)},
MRREVIEWER = {A. H. Wallace},
}
@incollection {MR0268907,
AUTHOR = {Novikov, S. P.},
TITLE = {Pontrjagin classes, the fundamental group and some problems of
stable algebra},
BOOKTITLE = {Essays on {T}opology and {R}elated {T}opics ({M}\'emoires
d\'edi\'es \`a {G}eorges de {R}ham)},
PAGES = {147--155},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1970},
MRCLASS = {57.32},
MRNUMBER = {MR0268907 (42 \#3804)},
MRREVIEWER = {A. Dold},
}
@article {MR0292913I,
AUTHOR = {Novikov, S. P.},
TITLE = {Algebraic construction and properties of {H}ermitian analogs
of {$K$}-theory over rings with involution from the viewpoint
of {H}amiltonian formalism. {A}pplications to differential
topology and the theory of characteristic classes. {I}.},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
VOLUME = {34},
YEAR = {1970},
NUMBER = {},
PAGES = {253--288; ibid. {\bf 34 (1970), 475--500},
MRCLASS = {18F25 (55F50 57D20)},
MRNUMBER = {MR0292913 (45 \#1994)},
MRREVIEWER = {W. C. Hsiang},
}
@article {MR0292913II,
AUTHOR = {Novikov, S. P.},
TITLE = {Algebraic construction and properties of {H}ermitian analogs
of {$K$}-theory over rings with involution from the viewpoint
of {H}amiltonian formalism. {A}pplications to differential
topology and the theory of characteristic classes. {II}.},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
VOLUME = {34},
YEAR = {1970},
NUMBER = {},
PAGES = {253--288; ibid. {\bf 34 (1970), 475--500},
MRCLASS = {18F25 (55F50 57D20)},
MRNUMBER = {MR0292913 (45 \#1994)},
MRREVIEWER = {W. C. Hsiang},
}
@book {MR1042758,
TITLE = {Dynamical systems. {IV}},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {4},
AUTHOR = {Novikov, S. P. and Arnold, V. I.},
NOTE = {Symplectic geometry and its applications,
A translation of Sovremennye problemy matematiki.
Fundamentalnye napravleniya, Tom 4, Akad. Nauk SSSR, Vsesoyuz.
Inst. Nauchn. i Tekhn. Inform., Moscow, 1985 [ MR0842907
(87j:58032)],
Translation by G. Wassermann,
Translation edited by V. I. Arnol{\cprime}d and S. P. Novikov},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1990},
PAGES = {vi+283},
ISBN = {3-540-17003-0},
MRCLASS = {58Fxx},
MRNUMBER = {MR1042758 (90j:58039)},
}
@book {MR1076994,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {III}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {124},
NOTE = {Introduction to homology theory,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1990},
PAGES = {x+416},
ISBN = {0-387-97271-4},
MRCLASS = {55-02 (57-02 58-01)},
MRNUMBER = {1076994 (91j:55001)},
}
@book {MR1135798,
AUTHOR = {Novikov, S. P. and Fomenko, A. T.},
TITLE = {Basic elements of differential geometry and topology},
SERIES = {Mathematics and its Applications (Soviet Series)},
VOLUME = {60},
NOTE = {Translated from the Russian by M. V. Tsaplina},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1990},
PAGES = {x+490},
ISBN = {0-7923-1009-8},
MRCLASS = {58-01 (53-01)},
MRNUMBER = {1135798 (92h:58002)},
}
@book {MR1138462,
AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
TITLE = {Modern geometry---methods and applications. {P}art {I}},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {93},
EDITION = {Second},
NOTE = {The geometry of surfaces, transformation groups, and fields,
Translated from the Russian by Robert G. Burns},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1992},
PAGES = {xvi+468},
ISBN = {0-387-97663-9},
MRCLASS = {53-01 (00A05 58-01)},
MRNUMBER = {1138462 (92h:53001)},
MRREVIEWER = {Peter R. Law},
}
@incollection {MR1392484,
AUTHOR = {Novikov, S. P.},
TITLE = {Topology, {I}},
SERIES = {Encyclopaedia Math. Sci.},
VOLUME = {12},
PAGES = {1--319},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1996},
MRCLASS = {57-02 (55-02 58-02)},
MRNUMBER = {MR1392484},
}
@article {MR2125926,
AUTHOR = {Novikov, S. P.},
TITLE = {Topology in the 20th century: a view from the inside},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk},
VOLUME = {59},
YEAR = {2004},
NUMBER = {5(359)},
PAGES = {3--28},
ISSN = {0042-1316},
MRCLASS = {01A60 (55-03 57-03)},
MRNUMBER = {MR2125926 (2006c:01010)},
MRREVIEWER = {Boris Goldfarb},
}
@book {MR2334179,
TITLE = {Topological library. {P}art 1: cobordisms and their
applications},
SERIES = {Series on Knots and Everything},
VOLUME = {39},
AUTHOR = {Novikov, S. P. and Taimanov, I. A.},
NOTE = {Translation by V. O. Manturov},
PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
YEAR = {2007},
PAGES = {xiv+369},
ISBN = {978-981-270-559-4; 981-270-559-7},
MRCLASS = {57-06 (57Rxx)},
MRNUMBER = {MR2334179 (2008c:57001)},
}
@article {MR676612,
AUTHOR = {Novikov, S. P.},
TITLE = {The {H}amiltonian formalism and a multivalued analogue of
{M}orse theory},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {37},
YEAR = {1982},
NUMBER = {5(227)},
PAGES = {3--49, 248},
ISSN = {0042-1316},
MRCLASS = {58E05 (58E30 58F05)},
MRNUMBER = {MR676612 (84h:58032)},
MRREVIEWER = {P. Ver Eecke},
}
@article {MR764010,
AUTHOR = {Novikov, S. P.},
TITLE = {The analytic generalized {H}opf invariant. {M}ultivalued
functionals},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {39},
YEAR = {1984},
NUMBER = {5(239)},
PAGES = {97--106},
ISSN = {0042-1316},
MRCLASS = {55Q25 (55P62 58E15)},
MRNUMBER = {MR764010 (86d:55016)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@article {MR1660996,
AUTHOR = {N{\'e}methi, Andr{\'a}s},
TITLE = {On the {S}eifert form at infinity associated with polynomial
maps},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {51},
YEAR = {1999},
NUMBER = {1},
PAGES = {63--70},
ISSN = {0025-5645},
CODEN = {NISUBC},
MRCLASS = {32S55 (14F45 57Q45)},
MRNUMBER = {1660996 (2000a:32068)},
MRREVIEWER = {Ricardo Garc{\'{\i}}a L{\'o}pez},
DOI = {10.2969/jmsj/05110063},
URL = {http://dx.doi.org/10.2969/jmsj/05110063},
}
@article {MR1914570,
AUTHOR = {N{\'e}methi, Andr{\'a}s and Nicolaescu, Liviu I.},
TITLE = {Seiberg-{W}itten invariants and surface singularities},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {6},
YEAR = {2002},
PAGES = {269--328 (electronic)},
ISSN = {1465-3060},
MRCLASS = {14J17 (14B05 14J80 32S25 57M27 57R57)},
MRNUMBER = {MR1914570 (2003i:14048)},
MRREVIEWER = {Olivier Collin},
DOI = {10.2140/gt.2002.6.269},
URL = {http://dx.doi.org/10.2140/gt.2002.6.269},
}
@article {killian,
AUTHOR = {O'Brien, Killian},
TITLE = {Seifert's algorithm},
}
@book {MR1754311,
AUTHOR = {O'Meara, O. T.},
TITLE = {Introduction to quadratic forms},
SERIES = {Classics in Mathematics},
NOTE = {Reprint of the 1973 edition},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {xiv+342},
ISBN = {3-540-66564-1},
MRCLASS = {11Exx},
MRNUMBER = {MR1754311 (2000m:11032)},
}
@book {MR502254,
AUTHOR = {O'Meara, O. T.},
TITLE = {Symplectic groups},
SERIES = {Mathematical Surveys},
VOLUME = {16},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
PAGES = {xi+122},
ISBN = {0-8218-1516-4},
MRCLASS = {20G05 (10C30 20E36 20F28)},
MRNUMBER = {MR502254 (80a:20045)},
MRREVIEWER = {E. A. Connors},
}
@book {MR1730156,
TITLE = {Handbook of discrete and computational geometry},
SERIES = {CRC Press Series on Discrete Mathematics and its Applications},
AUTHOR = {Goodman, Jacob E. and O'Rourke, Joseph},
PUBLISHER = {CRC Press},
ADDRESS = {Boca Raton, FL},
YEAR = {1997},
PAGES = {xvi+991},
ISBN = {0-8493-8524-5},
MRCLASS = {52-00 (00A20 65-00 65D17 65D18 65Y20 68U05)},
MRNUMBER = {1730156 (2000j:52001)},
MRREVIEWER = {Bert J{\"u}ttler},
}
@article {MR615511,
AUTHOR = {Ochanine, S.},
TITLE = {Signature modulo {$16$}, invariants de {K}ervaire
g\'en\'eralis\'es et nombres caract\'eristiques dans la
{$K$}-th\'eorie r\'eelle},
JOURNAL = {M\'em. Soc. Math. France (N.S.)},
FJOURNAL = {M\'emoire de la Soci\'et\'e Math\'ematique de France. Nouvelle
S\'erie},
YEAR = {1980/81},
NUMBER = {5},
PAGES = {142},
ISSN = {0583-8665},
MRCLASS = {57R20 (57R15)},
MRNUMBER = {615511 (83j:57014)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR1486517,
AUTHOR = {Ogata, Shoetsu and Saito, Masa-Hiko},
TITLE = {Signature defects and eta functions of degenerations of
abelian varieties},
JOURNAL = {Japan. J. Math. (N.S.)},
FJOURNAL = {Japanese Journal of Mathematics. New Series},
VOLUME = {23},
YEAR = {1997},
NUMBER = {2},
PAGES = {319--364},
ISSN = {0289-2316},
CODEN = {JJMAAK},
MRCLASS = {14K10 (11M41 14D05 58G10)},
MRNUMBER = {MR1486517 (99c:14059)},
MRREVIEWER = {V. Kumar Murty},
}
@book {MR1862839,
AUTHOR = {Ohshika, Ken'ichi},
TITLE = {Discrete groups},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {207},
NOTE = {Translated from the 1998 Japanese original by the author,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2002},
PAGES = {x+193},
ISBN = {0-8218-2080-X},
MRCLASS = {20F65 (20F67 20H10 30F40 53C23 57M50)},
MRNUMBER = {MR1862839 (2002j:20075)},
MRREVIEWER = {Michel Coornaert},
}
@article {MR1805408,
AUTHOR = {Ojanguren, Manuel and Panin, Ivan},
TITLE = {The {W}itt group of {L}aurent polynomials},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {46},
YEAR = {2000},
NUMBER = {3-4},
PAGES = {361--383},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {19G12 (11E81)},
MRNUMBER = {MR1805408 (2001k:19007)},
MRREVIEWER = {Paul Balmer},
}
@article {MR0293639,
AUTHOR = {Okabe, Tsuneharu},
TITLE = {The existence of topological {M}orse function and its
application to topological {$h$}-cobordism theorem},
JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
FJOURNAL = {Journal of the Faculty of Science. University of Tokyo.
Section IA. Mathematics},
VOLUME = {18},
YEAR = {1971},
PAGES = {23--35},
ISSN = {0040-8980},
MRCLASS = {57A70 (58E05)},
MRNUMBER = {0293639 (45 \#2716)},
MRREVIEWER = {T. B. Rushing},
}
@article{borodzik_signatures_2010,
title = {On the signatures of torus knots},
url = {http://arxiv.org/abs/1002.4500},
abstract = {We study properties of the signature function of the torus knot {\$T\_{p,q}\$.} First we provide a very elementary proof of the formula for the integral of the signatures over the circle. We obtain also a closed formula for the {Tristram--Levine} signature of a torus knot in terms of Dedekind sums.},
journal = {1002.4500},
author = {Maciej Borodzik and Krzysztof Oleszkiewicz},
month = feb,
year = {2010},
keywords = {{57M25,} Mathematics - Geometric Topology},
}
@article {MR815430,
AUTHOR = {Oliver, Robert},
TITLE = {The {W}hitehead transfer homomorphism for oriented {$S\sp
1$}-bundles},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {57},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--104},
ISSN = {0025-5521},
CODEN = {MTSCAN},
MRCLASS = {55R12 (18F25 19B99 55R10 57Q10)},
MRNUMBER = {MR815430 (87e:55020)},
MRREVIEWER = {Jean-Claude Hausmann},
}
@book {MR933091,
AUTHOR = {Oliver, Robert},
TITLE = {Whitehead groups of finite groups},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {132},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1988},
PAGES = {viii+349},
ISBN = {0-521-33646-5},
MRCLASS = {18F25 (19-02 19B28 20J05)},
MRNUMBER = {933091 (89h:18014)},
MRREVIEWER = {Roger C. Alperin},
DOI = {10.1017/CBO9780511600654},
URL = {http://dx.doi.org/10.1017/CBO9780511600654},
}
@article{oliverphd,
AUTHOR = {Oliver, Robert},
TITLE = {Smooth fixed-point free actions of compact Lie groups on disks},
YEAR={1974},
Notes={Princeton Ph.D. thesis},
}
@article{grishanov_topological1_2009,
title = {A Topological Study of Textile Structures. Part {II:} Topological Invariants in Application to Textile Structures},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part {II}},
url = {http://trj.sagepub.com/cgi/content/abstract/79/9/822},
doi = {10.1177/0040517508096221},
abstract = {This paper is the second in the series on topological classification of textile structures. The classification problem can be resolved with the aid of invariants used in knot theory for classification of knots and links. Various numerical and polynomial invariants are considered in application to textile structures. A new Kauffman-type polynomial invariant is constructed for doubly-periodic textile structures. The values of the numerical and polynomial invariants are calculated for some simplest doubly-periodic interlaced structures and for some woven and knitted textiles.},
number = {9},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = jun,
year = {2009},
pages = {822--836},
}
@article{grishanov_topological2_2009,
title = {A Topological Study of Textile Structures. Part I: An Introduction to Topological Methods},
volume = {79},
shorttitle = {A Topological Study of Textile Structures. Part I},
url = {http://trj.sagepub.com/cgi/content/abstract/79/8/702},
doi = {10.1177/0040517508095600},
abstract = {This paper proposes a new systematic approach for the description and classification of textile structures based on topological principles. It is shown that textile structures can be considered as a specific case of knots or links and can be represented by diagrams on a torus. This enables modern methods of knot theory to be applied to the study of the topology of textiles. The basics of knot theory are briefly introduced. Some specific matters relating to the application of these methods to textiles are discussed, including enumeration of textile structures and topological invariants of doubly-periodic structures.},
number = {8},
journal = {Textile Research Journal},
author = {Sergei Grishanov and Vadim Meshkov and Alexander Omelchenko},
month = may,
year = {2009},
pages = {702--713},
}
@book {MR2327126,
AUTHOR = {Oprea, John},
TITLE = {Differential geometry and its applications},
SERIES = {Classroom Resource Materials Series},
EDITION = {Second},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {2007},
PAGES = {xxii+469},
ISBN = {978-0-88385-748-9},
MRCLASS = {53-01 (53A04 53A05)},
MRNUMBER = {2327126 (2008k:53002)},
MRREVIEWER = {Thomas E. Cecil},
}
@book {MR2403898,
AUTHOR = {F{\'e}lix, Yves and Oprea, John and Tanr{\'e}, Daniel},
TITLE = {Algebraic models in geometry},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {17},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2008},
PAGES = {xxii+460},
ISBN = {978-0-19-920651-3},
MRCLASS = {55P62 (53-02 53C22 53D35 55-02)},
MRNUMBER = {2403898 (2009a:55006)},
MRREVIEWER = {Samuel B. Smith},
}
@article {ORE,
AUTHOR = {Ore, Oystein},
TITLE = {Theory of non-commutative polynomials},
JOURNAL = {Ann. of Math.},
VOLUME = {34},
YEAR = {1933},
PAGES = {480--508},
}
@article {MR0261638,
AUTHOR = {Orlik, Peter},
TITLE = {Weighted homogeneous polynomials and fundamental groups},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {267--273},
ISSN = {0040-9383},
MRCLASS = {57.60},
MRNUMBER = {MR0261638 (41 \#6251)},
MRREVIEWER = {H. W. Lambert},
}
@article {MR0268911,
AUTHOR = {Orlik, Peter and Raymond, Frank},
TITLE = {Actions of the torus on {$4$}-manifolds. {I}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {152},
YEAR = {1970},
PAGES = {531--559},
ISSN = {0002-9947},
MRCLASS = {57.47},
MRNUMBER = {MR0268911 (42 \#3808)},
MRREVIEWER = {L. S. Husch},
}
@article {MR0284435,
AUTHOR = {Orlik, Peter and Wagreich, Philip},
TITLE = {Isolated singularities of algebraic surfaces with
{C{$^{\ast}$}}\ action},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {205--228},
ISSN = {0003-486X},
MRCLASS = {14.18},
MRNUMBER = {MR0284435 (44 \#1662)},
MRREVIEWER = {M. L. Laplaza},
}
@article {MR0293680,
AUTHOR = {Milnor, John W. and Orlik, Peter},
TITLE = {Isolated singularities defined by weighted homogeneous
polynomials},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {9},
YEAR = {1970},
PAGES = {385--393},
ISSN = {0040-9383},
MRCLASS = {32L05 (14E15 55F25)},
MRNUMBER = {MR0293680 (45 \#2757)},
MRREVIEWER = {M. F. Atiyah},
locapdf="../../papers/orlikmilnor.pdf",
}
@article {MR0348779,
AUTHOR = {Orlik, Peter and Raymond, Frank},
TITLE = {Actions of the torus on {$4$}-manifolds. {II}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {89--112},
ISSN = {0040-9383},
MRCLASS = {57E15 (57E25)},
MRNUMBER = {MR0348779 (50 \#1274)},
MRREVIEWER = {L. S. Husch},
}
@book {MR0426001,
AUTHOR = {Orlik, Peter},
TITLE = {Seifert manifolds},
SERIES = {Lecture Notes in Mathematics, Vol. 291},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1972},
PAGES = {viii+155},
MRCLASS = {57E15},
MRNUMBER = {MR0426001 (54 \#13950)},
MRREVIEWER = {Richard Randell},
}
@book {orliknotes,
AUTHOR = {Orlik, Peter},
TITLE = {Seminar notes on simply-connected surgery},
}
@article {MR1286923,
AUTHOR = {Cochran, Tim D. and Orr, Kent E.},
TITLE = {Homology boundary links and {B}lanchfield forms: concordance
classification and new tangle-theoretic constructions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {33},
YEAR = {1994},
NUMBER = {3},
PAGES = {397--427},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {MR1286923 (95f:57041)},
MRREVIEWER = {J. P. Levine},
}
@article {chaorr,
AUTHOR = {Cha, Jae Choon and Orr, Kent E.},
TITLE = {L^2-signatures, homology localization and amenable groups},
JOURNAL = {arXiv:09103.3700},
}
@article{math.GT/0206059,
title = {{Structure in the classical knot concordance group}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
}
@article{math.GT/9908117,
title = {{Knot concordance, Whitney towers and L^2 signatures}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
howpublished = {Ann. of Math. (2), Vol. 157 (2003), no. 2, 433--519},
}
@article {MR1870049,
AUTHOR = {Clerc, Jean-Louis and Orsted, B.},
TITLE = {The {M}aslov index revisited},
JOURNAL = {Transform. Groups},
FJOURNAL = {Transformation Groups},
VOLUME = {6},
YEAR = {2001},
NUMBER = {4},
PAGES = {303--320},
ISSN = {1083-4362},
MRCLASS = {53D12 (32M15)},
MRNUMBER = {MR1870049 (2002j:53103)},
MRREVIEWER = {Jacques Faraut},
DOI = {10.1007/BF01237249},
URL = {http://dx.doi.org/10.1007/BF01237249},
}
@article {MR0115271,
AUTHOR = {Ortega, J. M.},
TITLE = {On {S}turm sequences for tridiagonal matrices},
JOURNAL = {J. Assoc. Comput. Mach.},
FJOURNAL = {Journal of the Association for Computing Machinery},
VOLUME = {7},
YEAR = {1960},
PAGES = {260--263},
ISSN = {0004-5411},
MRCLASS = {65.00},
MRNUMBER = {MR0115271 (22 \#6073)},
MRREVIEWER = {H. Schwerdtfeger},
}
@article {MR2496516,
AUTHOR = {Lafont J.-F. and Ortiz, I. J.},
TITLE = {Splitting formulas for certain {W}aldhausen {N}il-groups},
JOURNAL = {J. Lond. Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {79},
YEAR = {2009},
NUMBER = {2},
PAGES = {309--322},
ISSN = {0024-6107},
MRCLASS = {19D35 (18F25 20E06)},
MRNUMBER = {2496516 (2009m:19002)},
MRREVIEWER = {Thomas H{\"u}ttemann},
DOI = {10.1112/jlms/jdn075},
URL = {http://dx.doi.org/10.1112/jlms/jdn075},
}
@article {lafoortiz,
AUTHOR = {Lafont, J.-F. and Ortiz, I.J.},
TITLE = {Relating the Farrell Nil-groups to the Waldhausen Nil-groups},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {20},
YEAR = {2008},
NUMBER = {3},
PAGES = {445--455},
}
@book {MR698075,
AUTHOR = {Osborn, Howard},
TITLE = {Vector bundles. {V}ol. 1},
SERIES = {Pure and Applied Mathematics},
VOLUME = {101},
NOTE = {Foundations and Stiefel{\mhy{W}}hitney classes},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1982},
PAGES = {xii+371},
ISBN = {0-12-529301-1},
MRCLASS = {55-01 (55R25 57-01 57R20)},
MRNUMBER = {698075 (85e:55001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@article {MR1500628,
AUTHOR = {Osgood, William F.},
TITLE = {A {J}ordan curve of positive area},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {4},
YEAR = {1903},
NUMBER = {1},
PAGES = {107--112},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {28A75},
MRNUMBER = {1500628},
DOI = {10.2307/1986455},
URL = {http://dx.doi.org/10.2307/1986455},
}
@book {MR0362360,
AUTHOR = {Karras, U. and Kreck, Matthias and Neumann, W. D. and Ossa, E.},
TITLE = {Cutting and pasting of manifolds; {${\rm SK}$}-groups},
NOTE = {Mathematics Lecture Series, No. 1},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1973},
PAGES = {vii+70},
MRCLASS = {57D80 (57D25 57D90)},
MRNUMBER = {0362360 (50 \#14802)},
MRREVIEWER = {K. H. Mayer},
}
@article{morier-genoud_series_2010,
title = {A series of algebras generalizing the octonions and {Hurwitz-Radon} identity},
url = {http://arxiv.org/abs/1003.0429},
abstract = {We study non-associative twisted group algebras over {\$({\textbackslash}Z\_2){\textasciicircum}n\$} with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in the same way as the Clifford algebras extend the algebra of quaternions. We study their properties, give several equivalent definitions and prove their uniqueness within some natural assumptions. We then prove a simplicity criterion. We present two applications of the constructed algebras and the developed technique. The first application is a simple explicit formula for the following famous square identity: \$(a\_1{\textasciicircum}2+...+a\_{2{\textasciicircum}n}{\textasciicircum}2){\textbackslash},(b\_1{\textasciicircum}2+...+a\_{{\textbackslash}rho(n)}{\textasciicircum}2)= c\_1{\textasciicircum}2+...+c\_{2{\textasciicircum}n}{\textasciicircum}2\$, where \$c\_k\$ are bilinear functions of the \$a\_i\$ and \$b\_j\$ and where \${\textbackslash}rho(n)\$ is the {Hurwitz-Radon} function. The second application is the relation to Moufang loops and, in particular, to the code loops. To illustrate this relation, we provide an explicit coordinate formula for the factor set of the Parker loop.},
journal = {1003.0429},
author = {Morier-Genoud, Sophie and Ovsienko, Valentin},
month = mar,
year = {2010},
keywords = {{16W50,} {15A66,} {11E25,} {94B25,} {17A99,} Mathematical Physics, Mathematics - Rings and Algebras},
}
@article{morier-genoud_well_2008,
title = {Well, Papa, can you multiply triplets?},
url = {http://arxiv.org/abs/0810.5562},
abstract = {We show that the classical algebra of quaternions is a commutative {\${\textbackslash}Z\_2{\textbackslash}times{\textbackslash}Z\_2{\textbackslash}times{\textbackslash}Z\_2\$-graded} algebra. A similar interpretation of the algebra of octonions is impossible.},
journal = {0810.5562},
author = {Morier-Genoud, Sophie and Ovsienko, Valentin},
month = oct,
year = {2008},
keywords = {Mathematics - Commutative Algebra, Mathematics - Rings and Algebras},
}
@article {MR2199633,
AUTHOR = {Owens, Brendan and Strle, Sa{\v{s}}o},
TITLE = {Rational homology spheres and the four-ball genus of knots},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {200},
YEAR = {2006},
NUMBER = {1},
PAGES = {196--216},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57M27 (57M25 57N10 57N13)},
MRNUMBER = {MR2199633 (2006m:57016)},
MRREVIEWER = {Dave Auckly},
}
@article {MR1626470,
AUTHOR = {Ozawa, Makoto},
TITLE = {Synchronism of an incompressible non-free {S}eifert surface
for a knot and an algebraically split closed incompressible
surface in the knot complement},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {128},
YEAR = {2000},
NUMBER = {3},
PAGES = {919--922},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M25},
MRNUMBER = {MR1626470 (2000e:57013)},
MRREVIEWER = {Peiyi Zhao},
}
@article {MR1851556,
AUTHOR = {Ozawa, Makoto},
TITLE = {Additivity of free genus of knots},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {40},
YEAR = {2001},
NUMBER = {4},
PAGES = {659--665},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25},
MRNUMBER = {MR1851556 (2002k:57017)},
MRREVIEWER = {Mark R. Woodard},
}
@article {MR1923994,
AUTHOR = {Endo, H. and Korkmaz, M. and Kotschick, D. and Ozbagci, B. and
Stipsicz, A.},
TITLE = {Commutators, {L}efschetz fibrations and the signatures of
surface bundles},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {961--977},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R22 (57R20 57R25 57R55)},
MRNUMBER = {MR1923994 (2003f:57051)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1016/S0040-9383(01)00011-8},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00011-8},
}
@article {MR1883972,
AUTHOR = {Ozbagci, Burak},
TITLE = {Signatures of {L}efschetz fibrations},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {202},
YEAR = {2002},
NUMBER = {1},
PAGES = {99--118},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R19 (57N13 57R17 57R20 57R22)},
MRNUMBER = {MR1883972 (2002k:57066)},
MRREVIEWER = {Ivan Smith},
}
@article {MR0131878,
AUTHOR = {Paechter, G. F.},
TITLE = {The groups {$\pi \sb{r}(V\sb{n,\,m})$}. {I}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {7},
YEAR = {1956},
PAGES = {249--268},
ISSN = {0033-5606},
MRCLASS = {55.45},
MRNUMBER = {MR0131878 (24 \#A1725)},
MRREVIEWER = {Wu Wen-tsun},
}
@article {MR01318782,
AUTHOR = {Paechter, G. F.},
TITLE = {The groups {$\pi \sb{r}(V\sb{n,\,m})$}. {II}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {7},
YEAR = {1956},
PAGES = {249--268},
ISSN = {0033-5606},
MRCLASS = {55.45},
MRNUMBER = {MR0131878 (24 \#A1725)},
MRREVIEWER = {Wu Wen-tsun},
}
@article {MR01318783,
AUTHOR = {Paechter, G. F.},
TITLE = {The groups {$\pi \sb{r}(V\sb{n,\,m})$}. {III}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {7},
YEAR = {1956},
PAGES = {249--268},
ISSN = {0033-5606},
MRCLASS = {55.45},
MRNUMBER = {MR0131878 (24 \#A1725)},
MRREVIEWER = {Wu Wen-tsun},
}
@article {MR01318784,
AUTHOR = {Paechter, G. F.},
TITLE = {The groups {$\pi \sb{r}(V\sb{n,\,m})$}. {IV}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {7},
YEAR = {1956},
PAGES = {249--268},
ISSN = {0033-5606},
MRCLASS = {55.45},
MRNUMBER = {MR0131878 (24 \#A1725)},
MRREVIEWER = {Wu Wen-tsun},
}
@article {MR01318785,
AUTHOR = {Paechter, G. F.},
TITLE = {The groups {$\pi \sb{r}(V\sb{n,\,m})$}. {V}},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {7},
YEAR = {1956},
PAGES = {249--268},
ISSN = {0033-5606},
MRCLASS = {55.45},
MRNUMBER = {MR0131878 (24 \#A1725)},
MRREVIEWER = {Wu Wen-tsun},
}
@article {MR1850189,
AUTHOR = {Weber, Claude and Pajitnov, A.V. and Rudolph, L.},
TITLE = {The {M}orse-{N}ovikov number for knots and links},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = {13},
YEAR = {2001},
NUMBER = {3},
PAGES = {105--118},
ISSN = {0234-0852},
MRCLASS = {57M27},
MRNUMBER = {MR1850189 (2002k:57040)},
MRREVIEWER = {Vyacheslav S. Krushkal},
}
@book {MR2319639,
AUTHOR = {Pajitnov, A.V.},
TITLE = {Circle-valued {M}orse theory},
SERIES = {de Gruyter Studies in Mathematics},
VOLUME = {32},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {x+454},
ISBN = {978-3-11-015807-6; 3-11-015807-8},
MRCLASS = {58E05 (37C27 37C30 57M25 57R70)},
MRNUMBER = {MR2319639 (2008c:58008)},
MRREVIEWER = {Dirk Sch{\"u}tz},
}
@article{math.AT/0012031,
author = {A.V. Pajitnov and Andrew Ranicki},
title = {{The Whitehead group of the Novikov ring}},
howpublished = {K-Theory 21 (2000) 325-365},
}
@article{math.GT/0312374,
title = {{Twisted Novikov homology and circle-valued Morse theory for
knots and links}},
author = {Hiroshi Goda and A.V. Pajitnov},
eprint = {arXiv:math.GT/0312374},
}
@article{math.GT/0406498,
title = {{Novikov homology, twisted Alexander polynomials and Thurston
cones}},
author = {A.V. Pajitnov},
eprint = {arXiv:math.GT/0406498},
}
@article{math.GT/07093153,
title = {{Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows}},
author = {Hiroshi Goda and Hiroshi Matsuda and A.V. Pajitnov},
eprint = {arXiv:math.GT/0709.3153},
}
@article {MR0092927,
AUTHOR = {Palais, Richard S.},
TITLE = {Imbedding of compact, differentiable transformation groups in
orthogonal representations},
JOURNAL = {J. Math. Mech.},
VOLUME = {6},
YEAR = {1957},
PAGES = {673--678},
MRCLASS = {17.0X},
MRNUMBER = {MR0092927 (19,1181e)},
MRREVIEWER = {A. M. Gleason},
}
@article{0005.24806,
author="Paley, R.E.A.C.",
title="{A remarkable series of orthogonal functions. I, II.}",
language="English",
journal="Proc. Lond. Math. Soc., II. Ser. ",
volume="34",
pages="241-279",
year="1932",
doi={10.1112/plms/s2-34.1.241},
keywords="{analysis}",
}
@article {MR0404342,
AUTHOR = {Palm{\'e}r, Ingegerd},
TITLE = {The global homological dimension of semi-trivial extensions of
rings},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {37},
YEAR = {1975},
NUMBER = {2},
PAGES = {223--256},
ISSN = {0025-5521},
MRCLASS = {16A60},
MRNUMBER = {MR0404342 (53 \#8144)},
MRREVIEWER = {Idun Reiten},
}
@article {MR1805408,
AUTHOR = {Ojanguren, Manuel and Panin, Ivan},
TITLE = {The {W}itt group of {L}aurent polynomials},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {46},
YEAR = {2000},
NUMBER = {3-4},
PAGES = {361--383},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {19G12 (11E81)},
MRNUMBER = {MR1805408 (2001k:19007)},
MRREVIEWER = {Paul Balmer},
}
@article{papadima_jump_2013,
title = {Jump loci in the equivariant spectral sequence},
url = {http://arxiv.org/abs/1302.4075},
abstract = {We study the homology jump loci of a chain complex over an affine {\textbackslash}k-algebra. When the chain complex is the first page of the equivariant spectral sequence associated to a regular abelian cover of a finite-type {CW-complex}, we relate those jump loci to the resonance varieties associated to the cohomology ring of the space. As an application, we show that vanishing resonance implies a certain finiteness property for the completed Alexander invariants of the space. We also show that, generically, a connected, finite-dimensional commutative graded algebra has vanishing resonance.},
urldate = {2013-02-19},
journal = {{arXiv:1302.4075}},
author = {Papadima, Stefan and Suciu, Alexander I.},
month = feb,
year = {2013},
}
@article {MR0090053,
AUTHOR = {Papakyriakopoulos, C. D.},
TITLE = {On {D}ehn's lemma and the asphericity of knots},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {66},
YEAR = {1957},
PAGES = {1--26},
ISSN = {0003-486X},
MRCLASS = {55.0X},
MRNUMBER = {MR0090053 (19,761a)},
MRREVIEWER = {R. H. Fox},
}
@article{MRARA,
AUTHOR = {Ara, Pere and Gonz{\'a}lez-Barroso, M. A. and Goodearl, K. R.
and Pardo, E.},
TITLE = {Fractional skew monoid rings},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {278},
YEAR = {2004},
NUMBER = {1},
PAGES = {104--126},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {16S36 (16S35 16W22)},
MRNUMBER = {MR2068068 (2005f:16042)},
MRREVIEWER = {Kenneth A. Brown},
}
@incollection {MR0486068,
AUTHOR = {Pardon, William},
TITLE = {The exact sequence of a localization for {W}itt groups},
BOOKTITLE = {Algebraic {$K$}-theory ({P}roc. {C}onf., {N}orthwestern
{U}niv., {E}vanston, {I}ll., 1976)},
PAGES = {336--379. Lecture Notes in Math., Vol. 551},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1976},
MRCLASS = {18F25 (10C05 20J05 57D65)},
MRNUMBER = {MR0486068 (58 \#5856)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1057240,
AUTHOR = {Pardon, William},
TITLE = {Intersection homology {P}oincar\'e spaces and the
characteristic variety theorem},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {65},
YEAR = {1990},
NUMBER = {2},
PAGES = {198--233},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R67 (19M05)},
MRNUMBER = {MR1057240 (91d:57019)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR682048,
AUTHOR = {Pardon, William},
TITLE = {The exact sequence of a localization for {W}itt groups. {II}.
{N}umerical invariants of odd-dimensional surgery
obstructions},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {102},
YEAR = {1982},
NUMBER = {1},
PAGES = {123--170},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R67 (10C05)},
MRNUMBER = {MR682048 (84i:57027)},
MRREVIEWER = {A. A. Ranicki},
URL = {http://projecteuclid.org/getRecord?id=euclid.pjm/1102724624},
}
@incollection {MR689398,
AUTHOR = {Pardon, William},
TITLE = {A ``{G}ersten conjecture'' for {W}itt groups},
BOOKTITLE = {Algebraic {$K$}-theory, {P}art {II} ({O}berwolfach, 1980)},
SERIES = {Lecture Notes in Math.},
VOLUME = {967},
PAGES = {300--315},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1982},
MRCLASS = {13D15 (10C05 13K05 18F25)},
MRNUMBER = {MR689398 (84e:13016)},
MRREVIEWER = {Manuel Ojanguren},
}
@incollection {MR750687,
AUTHOR = {Pardon, William},
TITLE = {A relation between {W}itt groups and zero-cycles in a regular
ring},
BOOKTITLE = {Algebraic {$K$}-theory, number theory, geometry and analysis
({B}ielefeld, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1046},
PAGES = {261--328},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {11E81 (13B30 14C25 18F25 19G12)},
MRNUMBER = {MR750687 (86f:11031)},
MRREVIEWER = {R. Ware},
DOI = {10.1007/BFb0072028},
URL = {http://dx.doi.org/10.1007/BFb0072028},
}
@article {MR1926889,
AUTHOR = {Hess, Kathryn and Parent, Paul-Eug{\`e}ne},
TITLE = {Emergence of the {W}itt group in the cellular lattice of
rational spaces},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {354},
YEAR = {2002},
NUMBER = {11},
PAGES = {4571--4583 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P15 (11E04 55P60 55P62)},
MRNUMBER = {MR1926889 (2003h:55010)},
MRREVIEWER = {David A. Blanc},
}
@article {MR1763935,
AUTHOR = {Parimala, R. and Preeti, Raman and Sridharan, R.},
TITLE = {``{M}aslov index and a central extension of the
symplectic group''},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {19},
YEAR = {2000},
NUMBER = {4},
PAGES = {403},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {11E81 (19C99)},
MRNUMBER = {MR1763935 (2001c:11053b)},
MRREVIEWER = {Marek Szyjewski},
}
@book {MR1430097,
AUTHOR = {Dodson, C. T. J. and Parker, Phillip E.},
TITLE = {A user's guide to algebraic topology},
SERIES = {Mathematics and its Applications},
VOLUME = {387},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1997},
PAGES = {xii+405},
ISBN = {0-7923-4292-5},
MRCLASS = {55-02 (57-02)},
MRNUMBER = {MR1430097 (97j:55001)},
MRREVIEWER = {Donald M. Davis},
}
@incollection {MR1458655,
AUTHOR = {Parusi{\'n}ski, Adam},
TITLE = {A note on singularities at infinity of complex polynomials},
BOOKTITLE = {Symplectic singularities and geometry of gauge fields
({W}arsaw, 1995)},
SERIES = {Banach Center Publ.},
VOLUME = {39},
PAGES = {131--141},
PUBLISHER = {Polish Acad. Sci.},
ADDRESS = {Warsaw},
YEAR = {1997},
MRCLASS = {32S15 (32S25)},
MRNUMBER = {1458655 (98f:32036)},
MRREVIEWER = {Mihai Tib{\u{a}}r},
}
@book {MR1001562,
AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
TITLE = {Concrete mathematics},
NOTE = {A foundation for computer science},
PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
ADDRESS = {Reading, MA},
YEAR = {1989},
PAGES = {xiv+625},
ISBN = {0-201-14236-8},
MRCLASS = {00A05 (00-01 05-01 68-01 68Rxx)},
MRNUMBER = {1001562 (91f:00001)},
MRREVIEWER = {Volker Strehl},
}
@article {MR0331443,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {5},
YEAR = {1973},
PAGES = {229--234},
ISSN = {0024-6093},
MRCLASS = {58G99 (35P05)},
MRNUMBER = {MR0331443 (48 \#9776)},
MRREVIEWER = {V. W. Guillemin},
}
@article {MR0397797,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {I}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {77},
YEAR = {1975},
PAGES = {43--69},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397797 (53 \#1655a)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397798,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {II}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {78},
YEAR = {1975},
NUMBER = {3},
PAGES = {405--432},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397798 (53 \#1655b)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397799,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {III}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {79},
YEAR = {1976},
NUMBER = {1},
PAGES = {71--99},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397799 (53 \#1655c)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0650828,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Patodi, V. K.},
TITLE = {On the heat equation and the index theorem},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {19},
YEAR = {1973},
PAGES = {279--330},
ISSN = {0020-9910},
MRCLASS = {58G10 (35K05)},
MRNUMBER = {MR0650828 (58 \#31287)},
}
@article {MR1510617,
AUTHOR = {Peano, G.},
TITLE = {Sur une courbe, qui remplit toute une aire plane},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {36},
YEAR = {1890},
NUMBER = {1},
PAGES = {157--160},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1510617},
}
@incollection {pearson,
AUTHOR = {Pearson, Don},
TITLE = {Introduction to Sturm-{L}iouville book},
BOOKTITLE = {Sturm-{L}iouville theory},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {2005},
}
@incollection {MR1000388,
AUTHOR = {Pedersen, Erik K. and Weibel, Charles A.},
TITLE = {{$K$}-theory homology of spaces},
BOOKTITLE = {Algebraic topology (Arcata, CA, 1986)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1370},
PAGES = {346--361},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1989},
MRCLASS = {55N15 (19D06 19D35 55P42)},
MRNUMBER = {MR1000388 (90m:55007)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR1076514,
AUTHOR = {Hambleton, Ian and Pedersen, Erik K.},
TITLE = {Bounded surgery and dihedral group actions on spheres},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {4},
YEAR = {1991},
NUMBER = {1},
PAGES = {105--126},
ISSN = {0894-0347},
MRCLASS = {57R67 (57S17 57S25)},
MRNUMBER = {MR1076514 (91h:57022)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR1268187,
AUTHOR = {Ferry, S. and Hambleton, Ian and Pedersen, Erik K.},
TITLE = {A survey of bounded surgery theory and applications},
BOOKTITLE = {Algebraic topology and its applications},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {27},
PAGES = {57--80},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1994},
MRCLASS = {57R67 (55P99 57P99)},
MRNUMBER = {MR1268187},
}
@article {MR1277522,
AUTHOR = {Anderson, Douglas R. and Connolly, Frank and Ferry, S.
and Pedersen, Erik K.},
TITLE = {Algebraic {$K$}-theory with continuous control at infinity},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {94},
YEAR = {1994},
NUMBER = {1},
PAGES = {25--47},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19J99 (19D23 55N20)},
MRNUMBER = {MR1277522 (95b:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1341817,
AUTHOR = {Carlsson, Gunnar and Pedersen, Erik K.},
TITLE = {Controlled algebra and the {N}ovikov conjectures for {$K$}-
and {$L$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {3},
PAGES = {731--758},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D10 (19G24 55R40)},
MRNUMBER = {MR1341817 (96f:19006)},
MRREVIEWER = {A. A. Ranicki},
}
@incollection {MR1388311,
AUTHOR = {Ferry, S. and Pedersen, Erik K.},
TITLE = {Epsilon surgery theory},
BOOKTITLE = {Novikov conjectures, index theorems and rigidity, Vol.\ 2
(Oberwolfach, 1993)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {227},
PAGES = {167--226},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1995},
MRCLASS = {57R67},
MRNUMBER = {MR1388311 (97g:57044)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR1469141,
AUTHOR = {Cardenas, M. and Pedersen, Erik K.},
TITLE = {On the {K}aroubi filtration of a category},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {12},
YEAR = {1997},
NUMBER = {2},
PAGES = {165--191},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {18F25 (19D10)},
MRNUMBER = {MR1469141 (98g:18012)},
MRREVIEWER = {Frank Neumann},
}
@incollection {MR1778117,
AUTHOR = {Pedersen, Erik K.},
TITLE = {Controlled algebraic {$K$}-theory, a survey},
BOOKTITLE = {Geometry and topology: {A}arhus (1998)},
SERIES = {Contemp. Math.},
VOLUME = {258},
PAGES = {351--368},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {57Q10 (19B28)},
MRNUMBER = {MR1778117 (2001i:57034)},
MRREVIEWER = {Masayuki Yamasaki},
}
@article {MR2030369,
AUTHOR = {Hambleton, Ian and Pedersen, Erik K.},
TITLE = {Identifying assembly maps in {$K$}- and {$L$}-theory},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {328},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {27--57},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {19D50 (19A31 19B28 55N20)},
MRNUMBER = {MR2030369 (2004j:19001)},
MRREVIEWER = {Weibel, Charles A.},
}
@incollection {MR2048730,
AUTHOR = {Pedersen, Erik K.},
TITLE = {The surgery exact sequence revisited},
BOOKTITLE = {High-dimensional manifold topology},
PAGES = {416--420},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {2003},
MRCLASS = {57R67},
MRNUMBER = {MR2048730},
}
@article {MR2079597,
AUTHOR = {Bauer, Tilman and Kitchloo, Nitu and Notbohm, Dietrich and
Pedersen, Erik K.},
TITLE = {Finite loop spaces are manifolds},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {192},
YEAR = {2004},
NUMBER = {1},
PAGES = {5--31},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {57R19 (55P35 55P45 57R10 57R65)},
MRNUMBER = {2079597 (2005i:57035)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.1007/BF02441084},
URL = {http://dx.doi.org/10.1007/BF02441084},
}
@incollection {MR2222491,
AUTHOR = {Pedersen, Erik K. and Yamasaki, Masayuki},
TITLE = {Stability in controlled {$L$}-theory},
BOOKTITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {9},
PAGES = {67--86 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2006},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR2222491 (2007h:57042)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR639359,
AUTHOR = {Munkholm, Hans J. and Pedersen, Erik K.},
TITLE = {Whitehead transfers for {$S\sp{1}$}-bundles, an algebraic
description},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {56},
YEAR = {1981},
NUMBER = {3},
PAGES = {404--430},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q10 (18F25)},
MRNUMBER = {MR639359 (83c:57007)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR712261,
AUTHOR = {Munkholm, Hans J. and Pedersen, Erik K.},
TITLE = {The {$S\sp{1}$}-transfer in surgery theory},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {280},
YEAR = {1983},
NUMBER = {1},
PAGES = {277--302},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R67 (18F25)},
MRNUMBER = {MR712261 (85e:57037)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR760023,
AUTHOR = {Pedersen, Erik K.},
TITLE = {On the {$K\sb{-i}$}-functors},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {90},
YEAR = {1984},
NUMBER = {2},
PAGES = {461--475},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18F25},
MRNUMBER = {MR760023 (85k:18019)},
MRREVIEWER = {L. N. Vaserstein},
}
@incollection {MR802790,
AUTHOR = {Pedersen, Erik K. and Weibel, Charles A.},
TITLE = {A nonconnective delooping of algebraic {$K$}-theory},
BOOKTITLE = {Algebraic and geometric topology (New Brunswick, N.J., 1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1126},
PAGES = {166--181},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {18F25 (19D06 19D35)},
MRNUMBER = {MR802790 (87b:18012)},
MRREVIEWER = {Ross Staffeldt},
}
@incollection {MR874186,
AUTHOR = {Pedersen, Erik K.},
TITLE = {On the bounded and thin {$h$}-cobordism theorem parameterized
by {${\bf R}\sp k$}},
BOOKTITLE = {Transformation groups, Pozna\'n 1985},
SERIES = {Lecture Notes in Math.},
VOLUME = {1217},
PAGES = {306--320},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1986},
MRCLASS = {57R80 (19B99 57Q10)},
MRNUMBER = {MR874186 (88g:57036)},
MRREVIEWER = {Frank Quinn},
}
@article{colding,
title={Mean curvature flow as a tool to study topology
of 4-manifolds},
author={Colding, T. and Minicozzi W. and Pedersen, Erik K.},
}
@article{math.GT/0111269,
author = {Pedersen, Erik K. and Frank Quinn and Andrew Ranicki},
title = {{Controlled surgery with trivial local fundamental groups}},
}
@OFFPRINT{pedersenpapers,
author = "Pedersen, Erik K.",
title = "Index to Pedersen's papers",
}
@book {MR971256,
AUTHOR = {Pedersen, Gert K.},
TITLE = {Analysis now},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {118},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1989},
PAGES = {xiv+277},
ISBN = {0-387-96788-5},
MRCLASS = {46-01 (00A05 47-01)},
MRNUMBER = {MR971256 (90f:46001)},
MRREVIEWER = {T. A. Gillespie},
}
@article {MR2556030,
AUTHOR = {Andersen, J{\o}rgen Ellegaard and Bene, Alex James and Penner,
R. C.},
TITLE = {Groupoid extensions of mapping class representations for
bordered surfaces},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {156},
YEAR = {2009},
NUMBER = {17},
PAGES = {2713--2725},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {20F38 (20F34 57M07)},
MRNUMBER = {MR2556030},
DOI = {10.1016/j.topol.2009.08.001},
URL = {http://dx.doi.org/10.1016/j.topol.2009.08.001},
}
@incollection {MR644839,
AUTHOR = {Lion, G{\'e}rard and Perrin, Patrice},
TITLE = {Extension des repr\'esentations de groupes unipotents
{$p$}-adiques. {C}alculs d'obstructions},
BOOKTITLE = {Noncommutative harmonic analysis and {L}ie groups
({M}arseille, 1980)},
SERIES = {Lecture Notes in Math.},
VOLUME = {880},
PAGES = {337--356},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {22E50 (22E27)},
MRNUMBER = {MR644839 (83h:22032)},
MRREVIEWER = {S. Yu. Prishchepionok},
}
@article {MR0394701,
AUTHOR = {Perron, Bernard},
TITLE = {Pseudo-isotopies de plongements en codimension {$2$}},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {103},
YEAR = {1975},
NUMBER = {3},
PAGES = {289--339},
ISSN = {0037-9484},
MRCLASS = {57D40},
MRNUMBER = {0394701 (52 \#15500)},
MRREVIEWER = {Allen E. Hatcher},
}
@article {MR549082,
AUTHOR = {L{\^e} D ung Tr{\'a}ng and Perron, Bernard},
TITLE = {Sur la fibre de {M}ilnor d'une singularit\'e isol\'ee en
dimension complexe trois},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des
Sciences. S\'eries A et B},
VOLUME = {289},
YEAR = {1979},
NUMBER = {2},
PAGES = {A115--A118},
ISSN = {0151-0509},
CODEN = {CHASAP},
MRCLASS = {32B30 (14J17)},
MRNUMBER = {549082 (80k:32009)},
MRREVIEWER = {Peter Giblin},
}
@book {MR0064172,
AUTHOR = {Perron, Oskar},
TITLE = {Die {L}ehre von den {K}ettenbr\"uchen. {B}d {I}. {E}lementare
{K}ettenbr\"uche},
NOTE = {3te Aufl},
PUBLISHER = {B. G. Teubner Verlagsgesellschaft, Stuttgart},
YEAR = {1954},
PAGES = {vi+194},
MRCLASS = {40.0X},
MRNUMBER = {MR0064172 (16,239e)},
MRREVIEWER = {H. S. Wall},
}
@article{klein_fake,
AUTHOR={Klein, John R. and Peter, John W.},
TITLE={Fake wedges},
}
@book {MR749574,
AUTHOR = {Barth, W. and Peters, C. and Van de Ven, A.},
TITLE = {Compact complex surfaces},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
in Mathematics and Related Areas (3)]},
VOLUME = {4},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {x+304},
ISBN = {3-540-12172-2},
MRCLASS = {32Jxx (14Jxx)},
MRNUMBER = {MR749574 (86c:32026)},
MRREVIEWER = {I. Dolgachev},
}
@book {MR2393625,
AUTHOR = {Peters, Chris A. M. and Steenbrink, J. H. M.},
TITLE = {Mixed Hodge structures},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A
Series of Modern Surveys in Mathematics [Results in
Mathematics and Related Areas. 3rd Series. A Series of Modern
Surveys in Mathematics]},
VOLUME = {52},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2008},
PAGES = {xiv+470},
ISBN = {978-3-540-77015-2},
MRCLASS = {14C30 (14D07 32G20 32J25 32S35)},
MRNUMBER = {2393625 (2009c:14018)},
MRREVIEWER = {Matt Kerr},
}
@article {MR0162243,
AUTHOR = {Brown, E. H. and Peterson, F. P.},
TITLE = {Algebraic bordism groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {79},
YEAR = {1964},
PAGES = {616--622},
ISSN = {0003-486X},
MRCLASS = {57.10 (57.32)},
MRNUMBER = {0162243 (28 \#5442)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0198480,
AUTHOR = {Browder, William and Liulevicius, A. and Peterson, F. P.},
TITLE = {Cobordism theories},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {84},
YEAR = {1966},
PAGES = {91--101},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0198480 (33 \#6638)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0246308,
AUTHOR = {Lusztig, G. and Milnor, John W. and Peterson, F. P.},
TITLE = {Semi-characteristics and cobordism},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {357--359},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {0246308 (39 \#7612)},
MRREVIEWER = {H. Suzuki},
}
@book {MR748850,
AUTHOR = {Petrie, Ted and Randall, John D.},
TITLE = {Transformation groups on manifolds},
SERIES = {Monographs and Textbooks in Pure and Applied Mathematics},
VOLUME = {82},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1984},
PAGES = {vii+266},
ISBN = {0-8247-7156-7},
MRCLASS = {57S17 (57-02)},
MRNUMBER = {748850 (85m:57026)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR1554165,
AUTHOR = {Bollinger, Maja},
TITLE = {Geschichtliche {E}ntwicklung des {H}omologiebegriffs},
JOURNAL = {Arch. History Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {9},
YEAR = {1972},
NUMBER = {2},
PAGES = {94--170},
MRCLASS = {Contributed Item},
MRNUMBER = {1554165},
DOI = {10.1007/BF00348578},
URL = {http://dx.doi.org/10.1007/BF00348578},
}
@article {MR0195868,
AUTHOR = {Pham, Fr{\'e}d{\'e}ric},
TITLE = {Formules de {P}icard-{L}efschetz g\'en\'eralis\'ees et
ramification des int\'egrales},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {93},
YEAR = {1965},
PAGES = {333--367},
ISSN = {0037-9484},
MRCLASS = {14.55 (32.44)},
MRNUMBER = {MR0195868 (33 \#4064)},
MRREVIEWER = {M. F. Atiyah},
}
@proceedings {MR1215954,
TITLE = {Topological methods in modern mathematics},
BOOKTITLE = {Proceedings of the symposium in honor of {J}ohn {M}ilnor's
sixtieth birthday held at the {S}tate {U}niversity of {N}ew
{Y}ork, {S}tony {B}rook, {N}ew {Y}ork, {J}une 14--21, 1991},
AUTHOR = {Goldberg, Lisa R. and Phillips, Anthony V.},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Houston, TX},
YEAR = {1993},
PAGES = {xxii+566},
MRCLASS = {00B30 (00B25 55-06 57-06 58-06)},
MRNUMBER = {1215954 (93k:00043)},
}
@article {MR1823315,
AUTHOR = {Leichtnam, Eric and Lott, John and Piazza, Paolo},
TITLE = {On the homotopy invariance of higher signatures for manifolds
with boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {54},
YEAR = {2000},
NUMBER = {3},
PAGES = {561--633},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58J22 (19K56 58J28 58J32)},
MRNUMBER = {MR1823315 (2002e:58040)},
MRREVIEWER = {John G. Miller},
}
@article {albin1-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, I. Index classes},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.1568},
year = {2009},
}
@article {albin2-2009,
author = {Pierre Albin and Eric Leichtnam and Rafe Mazzeo and Paolo Piazza},
title = {The signature package on Witt spaces, II. Higher signatures},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0906.0888v1},
year = {2009},
}
@book {MR2663748,
AUTHOR = {Ferrario, Davide L. and Piccinini, Renzo A.},
TITLE = {Simplicial structures in topology},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la
SMC},
NOTE = {Translated from the 2009 Italian original by Maria Nair
Piccinini},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2011},
PAGES = {xvi+243},
ISBN = {978-1-4419-7235-4},
MRCLASS = {55-02},
MRNUMBER = {2663748},
DOI = {10.1007/978-1-4419-7236-1},
URL = {http://dx.doi.org/10.1007/978-1-4419-7236-1},
}
@article {MR2584177,
AUTHOR = {Javaloyes, M. A. and Piccione, Paolo},
TITLE = {On the isotropic reduction method and the {M}aslov index},
JOURNAL = {Mat. Contemp.},
FJOURNAL = {Matem\'atica Contempor\^anea},
VOLUME = {35},
YEAR = {2008},
PAGES = {73--93},
ISSN = {0103-9059},
MRCLASS = {53D12},
MRNUMBER = {MR2584177},
}
@book {picct,
AUTHOR = {Piccione, Paolo and Tausk, Daniel Victor},
TITLE = {On the geometry of Grassmannians and the symplectic group: the Maslov index and its applications},
}
@article {MR2123256,
AUTHOR = {Pichon, Anne and Seade, Jos{\'e}},
TITLE = {Real singularities and open-book decompositions of the
3-sphere},
JOURNAL = {Ann. Fac. Sci. Toulouse Math. (6)},
FJOURNAL = {Annales de la Facult\'e des Sciences de Toulouse.
Math\'ematiques. S\'erie 6},
VOLUME = {12},
YEAR = {2003},
NUMBER = {2},
PAGES = {245--265},
ISSN = {0240-2963},
MRCLASS = {57N10 (32S55 57M25)},
MRNUMBER = {MR2123256 (2005m:57031)},
MRREVIEWER = {Mark R. Woodard},
}
@article{michel_boundary_2005,
title = {The boundary of the Milnor fiber of Hirzebruch surface singularities},
url = {http://arxiv.org/abs/math/0509451},
abstract = {We give the first (as far as we know) complete description of the boundary of the Milnor fiber for some non-isolated singular germs of surfaces in \${{\textbackslash}bf C}{\textasciicircum}3\$. We study irreducible (i.e. \$gcd (m,k,l) = 1\$) non-isolated (i.e. \$1 {\textbackslash}leq k {\textless} l\$) Hirzebruch hypersurface singularities in \${{\textbackslash}bf C}{\textasciicircum}3\$ given by the equation \$z{\textasciicircum}m - x{\textasciicircum}ky{\textasciicircum}l = 0\$. We show that the boundary {\$L\$} of the Milnor fiber is always a Seifert manifold and we give an explicit description of the Seifert structure. From it, we deduce that : 1) {\$L\$} is never diffeomorphic to the boundary of the normalization. 2) {\$L\$} is a lens space iff \$m = 2\$ and \$k = 1\$. 3) When {\$L\$} is not a lens space, it is never orientation preserving diffeomorphic to the boundary of a normal surface singularity.},
journal = {math/0509451},
author = {F. Michel and Anne Pichon and Claude Weber},
month = sep,
year = {2005},
keywords = {{14J17,} {32S25,} {57M25,} Mathematics - Algebraic Geometry},
}
@book{pickover_mbius_2006,
edition = {illustrated edition},
title = {The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology},
isbn = {1560259523},
shorttitle = {The Mbius Strip},
publisher = {Thunder's Mouth Press},
author = {Clifford A. Pickover},
month = dec,
year = {2006},
}
@book {MR2605604,
TITLE = {The {A}bel {P}rize, 2003--2007},
AUTHOR = {Holden, Helge and Piene, Ragni},
NOTE = {nart Axel Edvard,
With 1 DVD},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2010},
PAGES = {xii+326},
ISBN = {978-3-642-01372-0},
MRCLASS = {01A70 (00-02 00A15)},
MRNUMBER = {2605604},
DOI = {10.1007/978-3-642-01373-7},
URL = {http://dx.doi.org/10.1007/978-3-642-01373-7},
}
@article {MR799274,
AUTHOR = {Pinkall, U.},
TITLE = {Hopf tori in {$S^3$}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {81},
YEAR = {1985},
NUMBER = {2},
PAGES = {379--386},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {53C42 (53A10 57R40)},
MRNUMBER = {799274 (86k:53075)},
MRREVIEWER = {Sheila Carter},
DOI = {10.1007/BF01389060},
URL = {http://dx.doi.org/10.1007/BF01389060},
}
@article {MR2213741,
AUTHOR = {Pirkovskii, A. Yu.},
TITLE = {Arens-{M}ichael enveloping algebras and analytic smash
products},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {134},
YEAR = {2006},
NUMBER = {9},
PAGES = {2621--2631 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {46M18 (16S30 16S40 46H05)},
MRNUMBER = {MR2213741},
MRREVIEWER = {Yuri{\u\i} V. Selivanov},
}
@article{pirk,
AUTHOR = {Pirkovskii, A. Yu.},
TITLE = {Stably flat completions of universal enveloping algebras},
JOURNAL = {http://www.arxiv.org/abs/math.FA/0311492},
}
@article {MR0021315,
AUTHOR = {Kelley, J. L. and Pitcher, Everett},
TITLE = {Exact homomorphism sequences in homology theory},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {48},
YEAR = {1947},
PAGES = {682--709},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0021315 (9,52d)},
MRREVIEWER = {S. Eilenberg},
}
@article{pitch,
TITLE={Critical Points of a Map to a Circle},
AUTHOR={Everett Pitcher},
JOURNAL={Proceedings of the National Academy of Sciences of the United States of America},
VOLUME={25},
YEARS={1939},
PAGES={428-431},
}
@article {MR0172296,
AUTHOR = {Haefliger, Andr{\'e} and Poenaru, Valentin},
TITLE = {La classification des immersions combinatoires},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {23},
YEAR = {1964},
PAGES = {75--91},
ISSN = {0073-8301},
MRCLASS = {57.20},
MRNUMBER = {0172296 (30 \#2515)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0222777,
AUTHOR = {Pohl, William F.},
TITLE = {The self-linking number of a closed space curve},
JOURNAL = {J. Math. Mech.},
VOLUME = {17},
YEAR = {1967/1968},
PAGES = {975--985},
MRCLASS = {53.01},
MRNUMBER = {0222777 (36 \#5827)},
MRREVIEWER = {L. Neuwirth},
}
@article {Poincare,
AUTHOR = {Poincar\'e, H.},
TITLE = {Analysis situs},
}
@book {MR0348781,
AUTHOR = {Guillemin, Victor and Pollack, Alan},
TITLE = {Differential topology},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1974},
PAGES = {xvi+222},
MRCLASS = {58-01 (57-01)},
MRNUMBER = {MR0348781 (50 \#1276)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR1198839,
AUTHOR = {Pommersheim, James E.},
TITLE = {Toric varieties, lattice points and {D}edekind sums},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {295},
YEAR = {1993},
NUMBER = {1},
PAGES = {1--24},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {14M25 (11H06 11P21 14C40)},
MRNUMBER = {MR1198839 (94c:14043)},
MRREVIEWER = {I. Dolgachev},
}
@incollection {MR1731815,
AUTHOR = {Barvinok, Alexander and Pommersheim, James E.},
TITLE = {An algorithmic theory of lattice points in polyhedra},
BOOKTITLE = {New perspectives in algebraic combinatorics ({B}erkeley, {CA},
1996--97)},
SERIES = {Math. Sci. Res. Inst. Publ.},
VOLUME = {38},
PAGES = {91--147},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1999},
MRCLASS = {52C07 (05A15)},
MRNUMBER = {MR1731815 (2000k:52014)},
}
@article {MR0373806,
AUTHOR = {Pont, Jean-Claude},
TITLE = {Petite enfance de la topologie alg\'ebrique},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {20},
YEAR = {1974},
PAGES = {111--126},
ISSN = {0013-8584},
MRCLASS = {01A55 (01A50 55-03)},
MRNUMBER = {0373806 (51 \#10006)},
MRREVIEWER = {s. Regoczei},
}
@book {MR0472374,
AUTHOR = {Pont, Jean-Claude},
TITLE = {La topologie alg\'ebrique des origines \`a {P}oincar\'e},
NOTE = {Pr{\'e}face de Ren{\'e} Taton,
Th{\`e}se No. 4706,
Pr{\'e}sent{\'e}e {\`a} l'{\'E}cole Polytechnique
F{\'e}d{\'e}rale Zurich pour l'obtention du titre de Docteur
{\`e}s sciences math{\'e}matiques,
Biblioth{\`e}que de Philosophie Contemporaine},
PUBLISHER = {Presses Universitaires de France, Paris},
YEAR = {1974},
PAGES = {x+197},
MRCLASS = {01A55 (55-03)},
MRNUMBER = {0472374 (57 \#12075)},
}
@article{64.0608.02,
author="Pontryagin, L.",
title="{A classification of continuous transformations of a complex into a
sphere. I, II.}",
language="English",
year="1938",
abstract="{Beide Noten behandeln die Aufgabe, die Abbildungsklassen der Sph\"are
$S^{n+k}$ in die Sph\"are $S^n$ aufzuz\"ahlen, oder die -- etwas pr\"azisere
-- Aufgabe, die Homotopiegruppen $\pi_{n+k}(S^n)$ im Sinne von {\it
Hurewicz} (Proc. Akad. Wet. Amsterdam 38 (1935), 112-119; F. d. M.
$61_{\text{I}}$, 618) zu bestimmen. F\"ur beliebiges $k > 0$ wird, ohne
Beweis, der Satz ausgesprochen: (A) \ F\"ur $n > k + 2$ ist $\pi_{n+k}(S^n)$
isomorph mit der Gruppe $\pi_{2k+2}(S^{k+2}) = P_k$. Die Vermutung wird
ge\"au{\ss}ert, da{\ss} $P_k$ in engem Zusammenhang mit der $i$-ten
Homotopiegruppe der Mannigfaltigkeit der $n$-dimensionalen Drehungsgruppe
stehe. Dies wird f\"ur $k =1$ und f\"ur $k = 2$ best\"atigt: Die Tatsachen,
da{\ss} die Fundamentalgruppe der $n$-dimensionalen Drehungsgruppe f\"ur
$n\geqq 3$ zyklisch von der Ordnung 2 und da{\ss} die zweiten
Homotopiegruppen der Drehungsgruppen die Nullgruppen sind, werden benutzt,
um zu zeigen: (B) \ $\pi_{n+1}(S^n)$ ist f\"ur $n\geqq 3$ zyklisch von der
Ordnung 2; (C) \ $\pi_{n+2}(S^n)$ ist f\"ur $n \geqq 3$ die Nullgruppe.
Hierzu gelten noch die Erg\"anzungen: (B$^\prime$) \ $\pi_3(S^2)$ ist frei
zyklisch; (C$^\prime$) \ $\pi_4(S^2)$ ist zyklisch von der Ordnung 2; ferner
ist $\pi_m(S^1)$ bekanntlich f\"ur alle $m > 1$ die Nullgruppe. Die Beweise
der S\"atze (B), (C) und ihrer Erg\"anzungen werden kurz skizziert; sie
beruhen au{\ss}er auf den erw\"ahnten Homotopie-Eigenschaften der
Drehungsgruppen auf der Tatsache, da{\ss} jede stetige Abbildung der $S^m$
in die $S^n$ durch analytische Abbildungen approximiert werden kann. Die
S\"atze, abgesehen von (A), sind bereits 1936 dem Internationalen
Mathematikerkongre{\ss} in Oslo mitgeteilt worden. Die S\"atze (A), (B),
(C$^\prime$) sind 1937 von {\it Freudenthal} (\"Uber die Klassen der
Sph\"arenabbildungen I, Compositio math., Groningen, 5 (1937), 299-314; F.
d. M. $63_{\text{II}}$) auf ganz anderem Wege ausf\"uhrlich bewiesen worden;
Satz (B$^\prime$) stammt von {\it Hurewicz} (a. a. O.).}",
reviewer="{Hopf, H.; Prof. (Z\"urich)}",
}
@article {MR0022667,
AUTHOR = {Pontryagin, L.},
TITLE = {Characteristic cycles on differentiable manifolds},
JOURNAL = {Mat. Sbornik N. S.},
VOLUME = {21(63)},
YEAR = {1947},
PAGES = {233--284},
MRCLASS = {56.0X},
MRNUMBER = {MR0022667 (9,243f)},
MRREVIEWER = {L. Zippin},
}
@article {MR0042121,
AUTHOR = {Pontryagin, L.},
TITLE = {Homotopy classification of the mappings of an
{$(n+2)$}-dimensional sphere on an {$n$}-dimensional one},
JOURNAL = {Doklady Akad. Nauk SSSR (N.S.)},
VOLUME = {70},
YEAR = {1950},
PAGES = {957--959},
MRCLASS = {56.0X},
MRNUMBER = {MR0042121 (13,57b)},
MRREVIEWER = {B. Eckmann},
}
@book {MR0049559,
AUTHOR = {Pontryagin, L.},
TITLE = {Foundations of combinatorial topology},
PUBLISHER = {Graylock Press},
ADDRESS = {Rochester, N. Y.},
YEAR = {1952},
PAGES = {xii+99},
MRCLASS = {56.0X},
MRNUMBER = {MR0049559 (14,194b)},
}
@incollection {MR0115178,
AUTHOR = {Pontryagin, L.},
TITLE = {Smooth manifolds and their applications in homotopy theory},
BOOKTITLE = {American Mathematical Society Translations, Ser. 2, Vol. 11},
PAGES = {1--114},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1959},
MRCLASS = {57.00},
MRNUMBER = {MR0115178 (22 \#5980)},
}
@article {MR1512710,
AUTHOR = {Pontryagin, L.},
TITLE = {\"{U}ber den algebraischen {I}nhalt topologischer
{D}ualit\"atss\"atze},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {105},
YEAR = {1931},
NUMBER = {1},
PAGES = {165--205},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512710},
}
@article {franpont,
AUTHOR = {Frankl, P. and Pontryagin, L.},
TITLE = {Ein Knotensatz mit Anwendungen auf Dimensionstheorie},
JOURNAL = {Math. Annalen},
VOLUME = {102},
YEAR = {1930},
PAGES={785--789},
}
@Article{zbMATH02504073,
Author = {Pontryagin, L.},
Title = {{A classification of mappings of the three-dimensional complex into the two-dimensional sphere.}},
FJournal = {{Recueil Math\'ematique. Nouvelle S\'erie}},
Journal = {{Rec. Math. Moscou, n. Ser.}},
Volume = {9},
Pages = {331--363},
Year = {1941},
Publisher = {Moscow Mathematical Society, Moscow},
Language = {English},
Zbl = {67.0736.01},
}
@article {MR1808593,
AUTHOR = {Eisenbud, David and Popescu, Sorin and Walter, Charles},
TITLE = {Enriques surfaces and other non-{P}faffian subcanonical
subschemes of codimension 3},
NOTE = {Special issue in honor of Robin Hartshorne},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {28},
YEAR = {2000},
NUMBER = {12},
PAGES = {5629--5653},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {14J28 (13C40 13D02 14M12)},
MRNUMBER = {MR1808593 (2002b:14046)},
MRREVIEWER = {I. Dolgachev},
DOI = {10.1080/00927870008827179},
URL = {http://dx.doi.org/10.1080/00927870008827179},
}
@article{eisenbud_lagrangian_1999,
title = {Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme},
url = {http://arxiv.org/abs/math/9906170},
abstract = {We show that a Gorenstein subcanonical codimension 3 subscheme Z in X = {P{\textasciicircum}N,} N {\textgreater} 3, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundle meet degenerately, and conversely. We extend this result to singular Z and all quasiprojective ambient schemes X under the necessary hypothesis that {\$Z\$} is strongly subcanonical in a sense defined below. A central point is that a pair of Lagrangian subbundles can be transformed locally into an alternating map. In the local case our structure theorem reduces to that of {Buchsbaum-Eisenbud} and says that Z is Pfaffian. We also prove codimension one symmetric and skew-symmetric analogues of our structure theorems.},
journal = {math/9906170},
author = {David Eisenbud and Sorin Popescu and Charles Walter},
month = jun,
year = {1999},
keywords = {{14M07,} {13D02,} {14M12,} {14F05,} Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra},
}
@incollection {MR2342890,
AUTHOR = {Popescu-Pampu, Patrick},
TITLE = {The geometry of continued fractions and the topology of
surface singularities},
BOOKTITLE = {Singularities in geometry and topology 2004},
SERIES = {Adv. Stud. Pure Math.},
VOLUME = {46},
PAGES = {119--195},
PUBLISHER = {Math. Soc. Japan},
ADDRESS = {Tokyo},
YEAR = {2007},
MRCLASS = {32S25 (11A55 14B05 32S50 52C05 57N10)},
MRNUMBER = {MR2342890 (2008k:32082)},
MRREVIEWER = {Mihai Tib{\u{a}}r},
}
@article {MR2383373,
AUTHOR = {Portaluri, Alessandro},
TITLE = {Maslov index for {H}amiltonian systems},
JOURNAL = {Electron. J. Differential Equations},
FJOURNAL = {Electronic Journal of Differential Equations},
YEAR = {2008},
PAGES = {No. 09, 10},
ISSN = {1072-6691},
MRCLASS = {53D12 (37J05)},
MRNUMBER = {MR2383373 (2009a:53144)},
MRREVIEWER = {Yiming Long},
}
@inproceedings {MR0293647,
AUTHOR = {Porteous, Ian R.},
TITLE = {Todd's canonical classes},
BOOKTITLE = {Proceedings of {L}iverpool {S}ingularities {S}ymposium {I},
(1969/70)},
PAGES = {308--312. Lecture Notes in Math., Vol. 192},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57D45 (14F05 55F25)},
MRNUMBER = {MR0293647 (45 \#2724)},
MRREVIEWER = {J. M. Boardman},
}
@book {MR1369094,
AUTHOR = {Porteous, Ian R.},
TITLE = {Clifford algebras and the classical groups},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {50},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1995},
PAGES = {x+295},
ISBN = {0-521-55177-3},
MRCLASS = {15A66 (20G20 22E99 81R05)},
MRNUMBER = {1369094 (97c:15046)},
MRREVIEWER = {Peter R. Law},
DOI = {10.1017/CBO9780511470912},
URL = {http://dx.doi.org/10.1017/CBO9780511470912},
}
@book {MR606198,
AUTHOR = {Porteous, Ian R.},
TITLE = {Topological geometry},
EDITION = {Second},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1981},
PAGES = {vi+486},
ISBN = {0-521-23160-4; 0-521-29839-3},
MRCLASS = {51Hxx (58Axx)},
MRNUMBER = {606198 (82c:51018)},
}
@book {MR1337498,
AUTHOR = {Gilbert, N. D. and Porter, T.},
TITLE = {Knots and surfaces},
SERIES = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xii+268},
ISBN = {0-19-853397-7},
MRCLASS = {57M25 (57-01)},
MRNUMBER = {MR1337498 (96f:57004)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@article {slice,
AUTHOR = {Powell, Mark},
TITLE = {Notes of Peter Teichner's 2001 San Diego course},
}
@book {MR2082772,
AUTHOR = {Prasolov, Victor V.},
TITLE = {Polynomials},
SERIES = {Algorithms and Computation in Mathematics},
VOLUME = {11},
NOTE = {Translated from the 2001 Russian second edition by Dimitry
Leites},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {xiv+301},
ISBN = {3-540-40714-6},
MRCLASS = {12-02 (12D05 12D10 12F10 13B25 13F20)},
MRNUMBER = {MR2082772 (2005f:12001)},
MRREVIEWER = {S. D. Cohen},
}
@article {MR1166513,
AUTHOR = {Prassidis, Stratos},
TITLE = {The {B}ass-{H}eller-{S}wan formula for the equivariant
topological {W}hitehead group},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {5},
YEAR = {1991/92},
NUMBER = {5},
PAGES = {395--448},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {57R67 (19B99)},
MRNUMBER = {MR1166513 (93e:57062)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1686654,
AUTHOR = {Hughes, Bruce and Prassidis, Stratos},
TITLE = {Control and relaxation over the circle},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {145},
YEAR = {2000},
NUMBER = {691},
PAGES = {x+96},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {57Q55 (19J10)},
MRNUMBER = {MR1686654 (2002c:57044)},
MRREVIEWER = {A. A. Ranicki},
}
@article {prasscont,
AUTHOR = {Prassidis, Stratos},
TITLE = {Introduction to controlled topology and its applications},
YEAR = {2009},
}
@article {MR1763935,
AUTHOR = {Parimala, R. and Preeti, Raman and Sridharan, R.},
TITLE = {``{M}aslov index and a central extension of the
symplectic group''},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {19},
YEAR = {2000},
NUMBER = {4},
PAGES = {403},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {11E81 (19C99)},
MRNUMBER = {MR1763935 (2001c:11053b)},
MRREVIEWER = {Marek Szyjewski},
}
@article {MR2142898,
AUTHOR = {Balmer, Paul and Preeti, Raman},
TITLE = {Shifted {W}itt groups of semi-local rings},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {117},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {19G12 (18E30)},
MRNUMBER = {MR2142898 (2006e:19006)},
MRREVIEWER = {Susanne Pumpluen},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@article {MR0314940,
AUTHOR = {Barratt, M. G. and Priddy, Stewart},
TITLE = {On the homology of non-connected monoids and their associated
groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {1--14},
ISSN = {0010-2571},
MRCLASS = {18H10 (57F05)},
MRNUMBER = {0314940 (47 \#3489)},
MRREVIEWER = {J. C. Becker},
}
@article {MR0309109,
AUTHOR = {Kahn, Daniel S. and Priddy, Stewart B.},
TITLE = {Applications of the transfer to stable homotopy theory},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {78},
YEAR = {1972},
PAGES = {981--987},
MRCLASS = {55E45},
MRNUMBER = {MR0309109 (46 \#8220)},
MRREVIEWER = {R. A. Piccinini},
}
@article {MR2175812,
AUTHOR = {Marzantowicz, Wac{\l}aw and Prieto, Carlos},
TITLE = {Computation of the equivariant 1-stem},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {63},
YEAR = {2005},
NUMBER = {4},
PAGES = {513--524},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {55Q55 (55P91)},
MRNUMBER = {MR2175812 (2006k:55024)},
MRREVIEWER = {Donald W. Kahn},
}
@article{1998Part1,
jstor_articletype = {primary_article},
title = {Tendril of the Hop and Tendril of the Vine: Peter Guthrie Tait and the Promotion of Quaternions, Part I},
author = {Pritchard, Chris},
journal = {The Mathematical Gazette},
jstor_issuetitle = {},
volume = {82},
number = {493},
jstor_formatteddate = {Mar., 1998},
pages = {26--36},
url = {http://www.jstor.org/stable/3620147},
ISSN = {00255572},
abstract = {},
language = {},
year = {1998},
publisher = {The Mathematical Association},
copyright = {Copyright � 1998 The Mathematical Association},
}
@article{1998Part2,
jstor_articletype = {primary_article},
title = {Flaming Swords and Hermaphrodite Monsters: Peter Guthrie Tait and the Promotion of Quaternions, Part II},
author = {Pritchard, Chris},
journal = {The Mathematical Gazette},
jstor_issuetitle = {},
volume = {82},
number = {494},
jstor_formatteddate = {Jul., 1998},
pages = {235--241},
url = {http://www.jstor.org/stable/3620406},
ISSN = {00255572},
abstract = {},
language = {},
year = {1998},
publisher = {The Mathematical Association},
copyright = {Copyright � 1998 The Mathematical Association},
}
@incollection {MR1304516,
AUTHOR = {Przytycki, J.H.},
TITLE = {History of the knot theory from {V}andermonde to {J}ones},
BOOKTITLE = {X{XIV}th {N}ational {C}ongress of the {M}exican {M}athematical
{S}ociety ({S}panish) ({O}axtepec, 1991)},
SERIES = {Aportaciones Mat. Comun.},
VOLUME = {11},
PAGES = {173--185},
PUBLISHER = {Soc. Mat. Mexicana},
ADDRESS = {M\'exico},
YEAR = {1992},
MRCLASS = {57-03 (01A50 01A55 01A60 57M25)},
MRNUMBER = {1304516 (95i:57001)},
}
@article {MR1628740,
AUTHOR = {Przytycki, J.H.},
TITLE = {Classical roots of knot theory},
NOTE = {Knot theory and its applications},
JOURNAL = {Chaos Solitons Fractals},
FJOURNAL = {Chaos, Solitons and Fractals},
VOLUME = {9},
YEAR = {1998},
NUMBER = {4-5},
PAGES = {531--545},
ISSN = {0960-0779},
CODEN = {CSFOEH},
MRCLASS = {57M25 (57-03)},
MRNUMBER = {1628740 (99c:57030)},
MRREVIEWER = {L. Neuwirth},
DOI = {10.1016/S0960-0779(97)00107-0},
URL = {http://dx.doi.org/10.1016/S0960-0779(97)00107-0},
}
@article{przytycki_goeritz_2009,
AUTHOR = {Przytycki, J.H.},
title = {From Goeritz matrices to quasi-alternating links},
url = {http://arxiv.org/abs/0909.1118},
journal = {0909.1118},
month = sep,
year = {2009},
keywords = {{57M25}, Mathematics - Geometric Topology, Mathematics - History and Overview},
}
@article {MR0339234,
AUTHOR = {Pulikowski, W.},
TITLE = {{$R{\rm O}(G)$}-graded {$G$}-bordism theory},
JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
FJOURNAL = {Bulletin de l'Acad\'emie Polonaise des Sciences. S\'erie des
Sciences Math\'ematiques, Astronomiques et Physiques},
VOLUME = {21},
YEAR = {1973},
PAGES = {991--995},
ISSN = {0001-4117},
MRCLASS = {57D85},
MRNUMBER = {MR0339234 (49 \#3996a)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0051507,
AUTHOR = {Puppe, Dieter},
TITLE = {Minkowskische {E}inheiten und {V}erschlingungsinvarianten von
{K}noten},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {56},
YEAR = {1952},
PAGES = {33--48},
ISSN = {0025-5874},
MRCLASS = {56.0X},
MRNUMBER = {MR0051507 (14,490d)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0056607,
AUTHOR = {Kneser, Martin and Puppe, Dieter},
TITLE = {Quadratische {F}ormen und {V}erschlingungsinvarianten von
{K}noten},
JOURNAL = {Math. Z.},
VOLUME = {58},
YEAR = {1953},
PAGES = {376--384},
MRCLASS = {20.0X},
MRNUMBER = {MR0056607 (15,100c)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0100265,
AUTHOR = {Puppe, Dieter},
TITLE = {Homotopiemengen und ihre induzierten {A}bbildungen. {I}},
JOURNAL = {Math. Z.},
VOLUME = {69},
YEAR = {1958},
PAGES = {299--344},
MRCLASS = {55.00},
MRNUMBER = {MR0100265 (20 \#6698)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0100266,
AUTHOR = {Puppe, Dieter},
TITLE = {Homotopiemengen und ihre induzierten {A}bbildungen. {II}.
{S}ph\"aren\"ahnliche {M}annigfaltigkeiten},
JOURNAL = {Math. Z.},
VOLUME = {69},
YEAR = {1958},
PAGES = {395--417},
MRCLASS = {55.00},
MRNUMBER = {MR0100266 (20 \#6699)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0150183,
AUTHOR = {Dold, Albrecht and Puppe, Dieter},
TITLE = {Homologie nicht-additiver {F}unktoren. {A}nwendungen},
JOURNAL = {Ann. Inst. Fourier Grenoble},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {11},
YEAR = {1961},
PAGES = {201--312},
ISSN = {0373-0956},
MRCLASS = {18.20},
MRNUMBER = {MR0150183 (27 \#186)},
MRREVIEWER = {P. J. Hilton},
}
@book {MR0407833,
AUTHOR = {tom Dieck, Tammo and Kamps, K. H. and Puppe, Dieter},
TITLE = {Homotopietheorie},
SERIES = {Lecture Notes in Mathematics, Vol. 157},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1970},
PAGES = {vi+265},
MRCLASS = {55DXX},
MRNUMBER = {MR0407833 (53 \#11603)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR733829,
AUTHOR = {Dold, Albrecht and Puppe, Dieter},
TITLE = {Duality, trace and transfer},
NOTE = {Topology (Moscow, 1979)},
JOURNAL = {Trudy Mat. Inst. Steklov.},
FJOURNAL = {Akademiya Nauk SSSR. Trudy Matematicheskogo Instituta imeni V.
A. Steklova},
VOLUME = {154},
YEAR = {1983},
PAGES = {81--97},
ISSN = {0371-9685},
MRCLASS = {55P25},
MRNUMBER = {MR733829 (85i:55007)},
}
@article {MR0365556,
AUTHOR = {Puppe, Volker},
TITLE = {A remark on ``homotopy fibrations''},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {12},
YEAR = {1974},
PAGES = {113--120},
ISSN = {0025-2611},
MRCLASS = {55D05},
MRNUMBER = {0365556 (51 \#1808)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR2171799,
AUTHOR = {Hausmann, J. C. and Holm, Tara and Puppe, Volker},
TITLE = {Conjugation spaces},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {5},
YEAR = {2005},
PAGES = {923--964 (electronic)},
ISSN = {1472-2747},
MRCLASS = {55N91 (57R22)},
MRNUMBER = {2171799 (2006e:55008)},
MRREVIEWER = {R. E. Stong},
DOI = {10.2140/agt.2005.5.923},
URL = {http://dx.doi.org/10.2140/agt.2005.5.923},
}
@article {MR1659639,
AUTHOR = {Pushkar, P. E.},
TITLE = {The {M}aslov index and symplectic {S}turm theorems},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Funktsional\cprime ny\u\i\
Analiz i ego Prilozheniya},
VOLUME = {32},
YEAR = {1998},
NUMBER = {3},
PAGES = {35--49, 95--96},
ISSN = {0374-1990},
MRCLASS = {53D12 (34C10 37J05)},
MRNUMBER = {MR1659639 (2000e:53096)},
MRREVIEWER = {Liviu I. Nicolaescu},
DOI = {10.1007/BF02463338},
URL = {http://dx.doi.org/10.1007/BF02463338},
}
@article {MR2207733,
AUTHOR = {Py, Pierre},
TITLE = {Indice de {M}aslov et th\'eor\`eme de {N}ovikov-{W}all},
JOURNAL = {Bol. Soc. Mat. Mexicana (3)},
FJOURNAL = {Sociedad Matem\'atica Mexicana. Bolet\'\i n. Tercera Serie},
VOLUME = {11},
YEAR = {2005},
NUMBER = {2},
PAGES = {303--331},
ISSN = {1405-213X},
MRCLASS = {57R19 (53D12)},
MRNUMBER = {MR2207733 (2007g:57046)},
}
@article {MR0472879,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratische {F}ormen in additiven {K}ategorien},
NOTE = {Colloque sur les Formes Quadratiques (Montpellier, 1975)},
JOURNAL = {Bull. Soc. Math. France Suppl. Mem.},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
NUMBER = {48},
YEAR = {1976},
PAGES = {93--101},
ISSN = {0037-9484},
MRCLASS = {15A63 (18D10 18D35)},
MRNUMBER = {MR0472879 (57 \#12566)},
MRREVIEWER = {Werner Bani},
}
@article {MR543249,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratic and {H}ermitian forms in additive and abelian
categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {59},
YEAR = {1979},
NUMBER = {2},
PAGES = {264--289},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {543249 (82d:18015)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1016/0021-8693(79)90126-1},
URL = {http://dx.doi.org/10.1016/0021-8693(79)90126-1},
}
@book {MR0223432,
AUTHOR = {Quillen, Daniel},
TITLE = {Homotopical algebra},
SERIES = {Lecture Notes in Mathematics, No. 43},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1967},
PAGES = {iv+156 pp. (not consecutively paged)},
MRCLASS = {18.20 (55.00)},
MRNUMBER = {MR0223432 (36 \#6480)},
MRREVIEWER = {A. K. Bousfield},
}
@article {MR0290382,
AUTHOR = {Quillen, Daniel},
TITLE = {Elementary proofs of some results of cobordism theory using
{S}teenrod operations},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {7},
YEAR = {1971},
PAGES = {29--56 (1971)},
ISSN = {0001-8708},
MRCLASS = {57.10},
MRNUMBER = {MR0290382 (44 \#7566)},
MRREVIEWER = {T. tom Dieck},
}
@incollection {MR0338129,
AUTHOR = {Quillen, Daniel},
TITLE = {Higher algebraic {$K$}-theory. {I}},
BOOKTITLE = {Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf.,
Battelle Memorial Inst., Seattle, Wash., 1972)},
PAGES = {85--147. Lecture Notes in Math., Vol. 341},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1973},
MRCLASS = {18F25},
MRNUMBER = {MR0338129 (49 \#2895)},
MRREVIEWER = {Stephen M. Gersten},
}
@article {MR1211371,
NOTE = {Friedlander, Eric M. and Mazur, Barry, Filtrations on the homology of algebraic varieties},
TITLE = {On the group completion of a simplicial monoid},
AUTHOR = {Daniel Quillen},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {110},
YEAR = {1994},
NUMBER = {529},
PAGES = {89--105},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {14F35 (14C05 14C30 55P45)},
MRNUMBER = {1211371 (95a:14023)},
MRREVIEWER = {Paulo Lima-Filho},
}
@article {MR1384911,
AUTHOR = {Quillen, Daniel},
TITLE = {{$K_0$} for nonunital rings and {M}orita invariance},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {472},
YEAR = {1996},
PAGES = {197--217},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {19A49 (16E20)},
MRNUMBER = {1384911 (96m:19006)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1515/crll.1996.472.197},
URL = {http://dx.doi.org/10.1515/crll.1996.472.197},
}
@article {quil,
AUTHOR = {Quillen, Daniel},
TITLE = {Algebraic K-theory lecture notes, MIT 1974},
}
@article{huettemann_finite_2011,
title = {Finite domination and Novikov rings. Iterative approach},
url = {http://arxiv.org/abs/1108.2995},
abstract = {Suppose C is a bounded chain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x]. Then C is R-finitely dominated, ie, homotopy equivalent over R to a bounded chain complex of finitely generated projective R-modules, if and only if the two chain complexes C((x)) and C((1/x)) are acyclic, as has been proved by Ranicki. Here C((x)) is the tensor product over L of C with the Novikov ring R((x)) = R[[x]][1/x] (also known as the ring of formal Laurent series in x); similarly, C((1/x)) is the tensor product over L of C with the Novikov ring R((1/x)) = R[[1/x]][x]. In this paper, we prove a generalisation of this criterion which allows us to detect finite domination of bounded below chain complexes of projective modules over Laurent rings in several indeterminates.},
journal = {1108.2995},
author = {Huettemann, Thomas and Quinn, David},
month = aug,
year = {2011},
keywords = {{55U15}, {18G35}, Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@article {MR0276980,
AUTHOR = {Quinn, Frank},
TITLE = {BTOP_n and the surgery obstruction},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {77},
YEAR = {1971},
PAGES = {596--600},
MRCLASS = {57.01},
MRNUMBER = {MR0276980 (43 \#2718)},
MRREVIEWER = {R. Schultz},
}
@incollection {MR0282375,
AUTHOR = {Quinn, Frank},
TITLE = {A geometric formulation of surgery},
BOOKTITLE = {Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens,
Ga., 1969)},
PAGES = {500--511},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.31 (55.00)},
MRNUMBER = {MR0282375 (43 \#8087)},
MRREVIEWER = {R. Schultz},
}
@article {MR0296955,
AUTHOR = {Quinn, Frank},
TITLE = {Surgery on {P}oincar\'e and normal spaces},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {78},
YEAR = {1972},
PAGES = {262--267},
MRCLASS = {57D65 (57B10)},
MRNUMBER = {MR0296955 (45 \#6014)},
MRREVIEWER = {P. J. Kahn},
}
@article {MR0353322,
AUTHOR = {Hatcher, Allen and Quinn, Frank},
TITLE = {Bordism invariants of intersections of submanifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {200},
YEAR = {1974},
PAGES = {327--344},
MRCLASS = {57C35 (57D40)},
MRNUMBER = {MR0353322 (50 \#5806)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0385847,
AUTHOR = {Quinn, Frank},
TITLE = {Extensions of maps as fibrations and cofibrations},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {211},
YEAR = {1975},
PAGES = {203--208},
MRCLASS = {55D05},
MRNUMBER = {MR0385847 (52 \#6706)},
MRREVIEWER = {J. P. May},
}
@book {MR1201584,
AUTHOR = {Freedman, Michael H. and Quinn, Frank},
TITLE = {Topology of 4-manifolds},
SERIES = {Princeton Mathematical Series},
VOLUME = {39},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1990},
PAGES = {viii+259},
ISBN = {0-691-08577-3},
MRCLASS = {57N13 (57-02)},
MRNUMBER = {MR1201584 (94b:57021)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR1388303,
AUTHOR = {Quinn, Frank},
TITLE = {Assembly maps in bordism-type theories},
BOOKTITLE = {Novikov conjectures, index theorems and rigidity, {V}ol.\ 1
({O}berwolfach, 1993)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {226},
PAGES = {201--271},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1995},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {1388303 (97h:57055)},
MRREVIEWER = {Ian Hambleton},
DOI = {10.1017/CBO9780511662676.011},
URL = {http://dx.doi.org/10.1017/CBO9780511662676.011},
}
@proceedings {MR2216238,
TITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geometry \& Topology Monographs},
VOLUME = {9},
BOOKTITLE = {Proceedings of the mini-workshop held in {O}berwolfach, {J}une
29--{J}uly 5, 2003},
AUTHOR = {Quinn, Frank and Ranicki, Andrew},
NOTE = {Available electronically at
\url{http://www.maths.warwick.ac.uk/gt/gtmcontents9.html}},
PUBLISHER = {Geometry \& Topology Publications, Coventry},
YEAR = {2006},
PAGES = {front matter+153 pp. (electronic)},
MRCLASS = {57-06},
MRNUMBER = {MR2216238 (2006k:57001)},
}
@book {MR2619602,
AUTHOR = {Quinn, Frank},
TITLE = {A {GEOMETRIC} {FORMULATION} {OF} {SURGERY}},
NOTE = {Thesis (Ph.D.)--Princeton University},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {1970},
PAGES = {80},
MRCLASS = {Thesis},
MRNUMBER = {2619602},
URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:7023630},
}
@article {MR2721629,
AUTHOR = {Quinn, Frank},
TITLE = {A controlled-topology proof of the product structure theorem},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {148},
YEAR = {2010},
PAGES = {303--308},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57Q25},
MRNUMBER = {2721629},
DOI = {10.1007/s10711-009-9406-x},
URL = {http://dx.doi.org/10.1007/s10711-009-9406-x},
}
@article {MR513757,
AUTHOR = {Quinn, Frank},
TITLE = {Ends of maps and applications},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {1},
YEAR = {1979},
NUMBER = {1},
PAGES = {270--272},
ISSN = {0002-9904},
CODEN = {BAMOAD},
MRCLASS = {57N15},
MRNUMBER = {MR513757 (81h:57003)},
}
@article {MR528236,
AUTHOR = {Quinn, Frank},
TITLE = {Open book decompositions, and the bordism of automorphisms},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {18},
YEAR = {1979},
NUMBER = {1},
PAGES = {55--73},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57Q45},
MRNUMBER = {MR528236 (81e:57027)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR549490,
AUTHOR = {Quinn, Frank},
TITLE = {Ends of maps. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {110},
YEAR = {1979},
NUMBER = {2},
PAGES = {275--331},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57N15},
MRNUMBER = {MR549490 (82k:57009)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR669423,
AUTHOR = {Quinn, Frank},
TITLE = {Ends of maps. {II}},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {68},
YEAR = {1982},
NUMBER = {3},
PAGES = {353--424},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57N15 (55R65 57Q10 57S17)},
MRNUMBER = {MR669423 (84j:57011)},
}
@article {MR700771,
AUTHOR = {Quinn, Frank},
TITLE = {Resolutions of homology manifolds, and the topological
characterization of manifolds},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {72},
YEAR = {1983},
NUMBER = {2},
PAGES = {267--284},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57P99 (18F25 57N15 57R65)},
MRNUMBER = {MR700771 (85b:57023)},
MRREVIEWER = {R. J. Daverman},
}
@article {MR894878,
AUTHOR = {Quinn, Frank},
TITLE = {An obstruction to the resolution of homology manifolds},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {34},
YEAR = {1987},
NUMBER = {2},
PAGES = {285--291},
ISSN = {0026-2285},
MRCLASS = {57P05},
MRNUMBER = {MR894878 (88j:57016)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR928266,
AUTHOR = {Quinn, Frank},
TITLE = {Homotopically stratified sets},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {1},
YEAR = {1988},
NUMBER = {2},
PAGES = {441--499},
ISSN = {0894-0347},
MRCLASS = {57N37 (57N80 57R80 57S17)},
MRNUMBER = {MR928266 (89g:57050)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR929089,
AUTHOR = {Quinn, Frank},
TITLE = {Topological transversality holds in all dimensions},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {18},
YEAR = {1988},
NUMBER = {2},
PAGES = {145--148},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57N13 (57N15 57N75)},
MRNUMBER = {MR929089 (89c:57016)},
MRREVIEWER = {A. Marin},
}
@article{davis_algebraic_2010,
title = {Algebraic K-theory over the infinite dihedral group: a controlled topology approach},
shorttitle = {Algebraic K-theory over the infinite dihedral group},
url = {http://arxiv.org/abs/1002.3702},
abstract = {We use controlled topology applied to the action of the infinite dihedral group on a partially compactified plane and deduce two consequences for algebraic K-theory. The first is that the family in the K-theoretic {Farrell-Jones} conjecture can be reduced to only those virtually cyclic groups which admit a surjection with finite kernel onto a cyclic group. The second is that the Waldhausen Nil groups for a group which maps epimorphically onto the infinite dihedral group can be computed in terms of the {Farrell-Bass} Nil groups of the index two subgroup which maps surjectively to the infinite cyclic group.},
journal = {1002.3702},
author = {Jim Davis and Frank Quinn and Holger Reich},
month = feb,
year = {2010},
keywords = {{57Q10,} {16E20,} Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology},
}
@article{math.GT/0111269,
author = {Pedersen, Erik K. and Frank Quinn and Andrew Ranicki},
title = {{Controlled surgery with trivial local fundamental groups}},
}
@article {poincare,
AUTHOR = {Quinn, Frank},
TITLE = {Surgery on Poincare},
YEAR = {1971},
}
@article {quinnpr,
AUTHOR = {Quinn, Frank},
TITLE = {A controlled-topology proof of the product structure theorem},
YEAR = {2006},
JOURNAL = {http://arXiv:math.GT/0601031},
}
@article {MR0079615,
AUTHOR = {Rademacher, Hans},
TITLE = {Zur {T}heorie der {D}edekindschen {S}ummen},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {63},
YEAR = {1956},
PAGES = {445--463},
ISSN = {0025-5874},
MRCLASS = {10.2X},
MRNUMBER = {MR0079615 (18,114d)},
MRREVIEWER = {H. D. Kloosterman},
}
@book {MR0170844,
AUTHOR = {Rademacher, Hans},
TITLE = {Lectures on elementary number theory},
SERIES = {A Blaisdell Book in the Pure and Applied Sciences},
PUBLISHER = {Blaisdell Publishing Co. Ginn and Co.\, New
York-Toronto-London},
YEAR = {1964},
PAGES = {ix+146},
MRCLASS = {10.01 (10.05)},
MRNUMBER = {MR0170844 (30 \#1079)},
MRREVIEWER = {S. Chowla},
}
@book {MR0357299,
AUTHOR = {Rademacher, Hans and Grosswald, Emil},
TITLE = {Dedekind sums},
NOTE = {The Carus Mathematical Monographs, No. 16},
PUBLISHER = {The Mathematical Association of America, Washington, D.C.},
YEAR = {1972},
PAGES = {xvi+102},
MRCLASS = {10A20},
MRNUMBER = {MR0357299 (50 \#9767)},
MRREVIEWER = {L. Carlitz},
}
@article{rad3,
author="Rademacher, Hans",
title="Einige Saetze ueber Orthogonalreihen",
journal="Mathematische Annalen",
volume ="87",
pages ="112-138",
year="1922",
}
@article {MR1943335,
AUTHOR = {Randall, Duane},
TITLE = {Equivalences to the triangulation conjecture},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {2},
YEAR = {2002},
PAGES = {1147--1154 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57N16 (55S35 57Q15)},
MRNUMBER = {MR1943335 (2003i:57032)},
MRREVIEWER = {Yuli B. Rudyak},
}
@article {MR577773,
AUTHOR = {Marcum, Howard J. and Randall, Duane},
TITLE = {The homotopy {T}hom class of a spherical fibration},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {80},
YEAR = {1980},
NUMBER = {2},
PAGES = {353--358},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {55R05 (55Q15 57R20)},
MRNUMBER = {577773 (81k:55026)},
MRREVIEWER = {C. S. Hoo},
DOI = {10.2307/2042976},
URL = {http://dx.doi.org/10.2307/2042976},
}
@book {MR748850,
AUTHOR = {Petrie, Ted and Randall, John D.},
TITLE = {Transformation groups on manifolds},
SERIES = {Monographs and Textbooks in Pure and Applied Mathematics},
VOLUME = {82},
PUBLISHER = {Marcel Dekker Inc.},
ADDRESS = {New York},
YEAR = {1984},
PAGES = {vii+266},
ISBN = {0-8247-7156-7},
MRCLASS = {57S17 (57-02)},
MRNUMBER = {748850 (85m:57026)},
MRREVIEWER = {T. tom Dieck},
}
@article {MR1554165,
AUTHOR = {Bollinger, Maja},
TITLE = {Geschichtliche {E}ntwicklung des {H}omologiebegriffs},
JOURNAL = {Arch. History Exact Sci.},
FJOURNAL = {Archive for History of Exact Sciences},
VOLUME = {9},
YEAR = {1972},
NUMBER = {2},
PAGES = {94--170},
MRCLASS = {Contributed Item},
MRNUMBER = {1554165},
DOI = {10.1007/BF00348578},
URL = {http://dx.doi.org/10.1007/BF00348578},
}
@incollection {MR537745,
AUTHOR = {Randell, Richard},
TITLE = {On the topology of nonisolated singularities},
BOOKTITLE = {Geometric topology ({P}roc. {G}eorgia {T}opology {C}onf.,
{A}thens, {G}a., 1977)},
PAGES = {445--473},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1979},
MRCLASS = {14B05 (32B30 57Q45)},
MRNUMBER = {537745 (80f:14002)},
MRREVIEWER = {Anatoly Libgober},
}
@article {MR0155304,
AUTHOR = {von Randow, Rabe},
TITLE = {Zur {T}opologie von dreidimensionalen
{B}aummannigfaltigkeiten},
JOURNAL = {Bonn. Math. Schr. No.},
FJOURNAL = {Bonner Mathematische Schriften},
VOLUME = {14},
YEAR = {1962},
PAGES = {v+131},
ISSN = {0524-045x},
MRCLASS = {54.80},
MRNUMBER = {MR0155304 (27 \#5239)},
MRREVIEWER = {H. R{\"o}hrl},
}
@article{MR1055984,
AUTHOR = {Ranicki, Andrew and Weiss, Michael},
TITLE = {Chain complexes and assembly},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {204},
YEAR = {1990},
NUMBER = {2},
PAGES = {157--185},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55U15 (18F25 19M05)},
MRNUMBER = {MR1055984 (91f:55009)},
MRREVIEWER = {Ulrike Tillmann},
}
@article {MR1311017,
AUTHOR = {Ranicki, Andrew and Yamasaki, Masayuki},
TITLE = {Controlled {$K$}-theory},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {61},
YEAR = {1995},
NUMBER = {1},
PAGES = {1--59},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57Q10 (19J05 19J10 57Q12)},
MRNUMBER = {MR1311017 (96b:57027)},
MRREVIEWER = {Karl Heinz Dovermann},
}
@proceedings {MR2216238,
TITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geometry \& Topology Monographs},
VOLUME = {9},
BOOKTITLE = {Proceedings of the mini-workshop held in {O}berwolfach, {J}une
29--{J}uly 5, 2003},
AUTHOR = {Quinn, Frank and Ranicki, Andrew},
NOTE = {Available electronically at
\url{http://www.maths.warwick.ac.uk/gt/gtmcontents9.html}},
PUBLISHER = {Geometry \& Topology Publications, Coventry},
YEAR = {2006},
PAGES = {front matter+153 pp. (electronic)},
MRCLASS = {57-06},
MRNUMBER = {MR2216238 (2006k:57001)},
}
@incollection {MR2222493,
AUTHOR = {Ranicki, Andrew and Yamasaki, Masayuki},
TITLE = {Controlled {$L$}-theory},
BOOKTITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {9},
PAGES = {105--153 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2006},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR2222493 (2007d:57048)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR2302493,
AUTHOR = {Hambleton, Ian and Korzeniewski, Andrew and Ranicki, Andrew},
TITLE = {The signature of a fibre bundle is multiplicative mod 4},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {251--314},
ISSN = {1465-3060},
MRCLASS = {55R10 (18G35 19B28 55U15 57Q10 57R19 57R67)},
MRNUMBER = {2302493 (2008c:55022)},
MRREVIEWER = {Steven R. Costenoble},
DOI = {10.2140/gt.2007.11.251},
URL = {http://dx.doi.org/10.2140/gt.2007.11.251},
}
@incollection {Ranicki(1979),
AUTHOR = {Ranicki, Andrew},
TITLE = {The total surgery obstruction},
BOOKTITLE = {Algebraic topology, {A}arhus 1978 ({P}roc. {S}ympos., {U}niv.
{A}arhus, {A}arhus, 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {763},
PAGES = {275--316},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57R67},
MRNUMBER = {561227 (81e:57034)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article{math.AT/0008070,
author = {Ferry, S. and Andrew Ranicki},
title = {A survey of Wall's finiteness obstruction},
}
@article{math.AT/0008071,
title = {An introduction to algebraic surgery},
author = {Andrew Ranicki},
}
@article{math.AT/0008228,
title = {{Algebraic Poincare cobordism}},
author = {Andrew Ranicki},
howpublished = {AMS Contemp. Maths. 279, 213-255 (2001)},
}
@article{math.AT/0012031,
author = {A.V. Pajitnov and Andrew Ranicki},
title = {{The Whitehead group of the Novikov ring}},
howpublished = {K-Theory 21 (2000) 325-365},
}
@article{math.AT/0107221,
author = {Octav Cornea and Andrew Ranicki},
title = {{Rigidity and gluing for Morse and Novikov complexes}},
howpublished = {J. Eur. Math. Soc. 5, 343-394 (2003)},
}
@article{math.AT/0111315,
title = {{Foundations of algebraic surgery}},
author = {Andrew Ranicki},
}
@article{math.AT/0111316,
title = {{The structure set of an arbitrary space, the algebraic
surgery exact sequence and the total surgery obstruction}},
author = {Andrew Ranicki},
}
@article{math.AT/0111317,
title = {{Circle valued Morse theory and Novikov homology}},
author = {Andrew Ranicki},
}
@article{math.AT/0303046,
title = {{Noncommutative localization in topology}},
author = {Andrew Ranicki},
}
@article{math.AT/0304016,
author = {Frank Connolly and Andrew Ranicki},
title = {{On the calculation of UNil}},
}
@article{math.AT/0304362,
author = {Markus Banagl and Andrew Ranicki},
title = {{Generalized Arf invariants in algebraic L-theory}},
}
@article{math.AT/0308111,
title = {{Algebraic and combinatorial codimension 1 transversality}},
author = {Andrew Ranicki},
}
@article{math.AT/9903090,
title = {{The algebraic construction of the Novikov complex of a
circle-valued Morse function}},
author = {Andrew Ranicki},
howpublished = {Mathematische Annalen 322, 745-785 (2002)},
}
@article{math.AT/9909130,
author = {Heather Johnston and Andrew Ranicki},
title = {Homology manifold bordism},
howpublished = {Trans. A.M.S. 352, 5093-5137 (2000)},
}
@article{math.DG/9812122,
title = {{The Morse-Novikov theory of circle-valued functions and
noncommutative localization}},
author = {Michael Farber and Andrew Ranicki},
}
@article{math.GT/0111269,
author = {Pedersen, Erik K. and Frank Quinn and Andrew Ranicki},
title = {{Controlled surgery with trivial local fundamental groups}},
}
@article{math.GT/0212187,
title = {{Blanchfield and Seifert algebra in high dimensional knot
theory}},
author = {Andrew Ranicki},
}
@article{math.GT\0403261,
author = {Mio, Washington and Ranicki, Andrew},
title = {{The quadratic form E_8 and exotic homology manifolds}},
}
@article{math.RA/0109118,
author = {Amnon Neeman and Andrew Ranicki},
title = {{Noncommutative localization and chain complexes I. Algebraic
K- and L-theory}},
}
@article{math.RA/0205034,
author = {Amnon Neeman and Andrew Ranicki and Aidan Schofield},
title = {{Representations of algebras as universal localizations}},
howpublished = {Math. Proc. Camb. Phil. Soc. 136, 105-117 (2004)},
eprint = {http://www.arXiv.org/math.RA/0205034},
}
@article{math.RA/0410620,
title = {Noncommutative localisation in algebraic K-theory I.},
author = {Amnon Neeman and Andrew Ranicki},
howpublished={Geometry and Topology, Vol. 8 (2004) Paper no. 38, pages 1385--1425.},
}
@article{ranickibooks,
AUTHOR = "Andrew Ranicki",
TITLE = "Books",
}
@article{ranickipapers,
AUTHOR = "Andrew Ranicki",
TITLE = "Papers",
}
@article{rasmussen_floer_2003,
title = {Floer homology and knot complements},
url = {http://arxiv.org/abs/math/0306378},
abstract = {We use the {Ozsvath-Szabo} theory of Floer homology to define an invariant of knot complements in three-manifolds. This invariant takes the form of a filtered chain complex, which we call {CF\_r.} It carries information about the Floer homology of large integral surgeries on the knot. Using the exact triangle, we derive information about other surgeries on knots, and about the maps on Floer homology induced by certain surgery cobordisms. We define a certain class of {\textbackslash}em{perfect} knots in S{\textasciicircum}3 for which {CF\_r} has a particularly simple form. For these knots, formal properties of the {Ozsvath-Szabo} theory enable us to make a complete calculation of the Floer homology. This is the author's thesis; many of the results have been independently discovered by Ozsvath and Szabo in {math.GT/0209056.}},
journal = {math/0306378},
author = {Jacob Rasmussen},
month = jun,
year = {2003},
keywords = {{57M27,} {57R58,} Mathematics - Geometric Topology},
}
@article {MR0326729,
AUTHOR = {Ravenel, Douglas C.},
TITLE = {A definition of exotic characteristic classes of spherical
fibrations},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {421--436},
ISSN = {0010-2571},
MRCLASS = {55F25 (55G20 57D20)},
MRNUMBER = {0326729 (48 \#5072)},
MRREVIEWER = {Joel M. Cohen},
}
@book {MR860042,
AUTHOR = {Ravenel, Douglas C.},
TITLE = {Complex cobordism and stable homotopy groups of spheres},
SERIES = {Pure and Applied Mathematics},
VOLUME = {121},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Orlando, FL},
YEAR = {1986},
PAGES = {xx+413},
ISBN = {0-12-583430-6; 0-12-583431-4},
MRCLASS = {55-02 (55Qxx 57-02)},
MRNUMBER = {MR860042 (87j:55003)},
MRREVIEWER = {Joseph Neisendorfer},
}
@article {arfsol,
title = {On the non-existence of elements of Kervaire invariant one},
coden = {http://arxiv.org/abs/0908.3724},
journal = {0908.3724},
author = {Michael A. Hill and M.J. Hopkins and Douglas C. Ravenel},
month = aug,
year = {2009},
keywords = {{55P91,} {55Q45,} {55Q91,} {57R55,} {57R60,} {57R77,} {57R85,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article {MR2944792,
AUTHOR = {Rawnsley, John},
TITLE = {On the universal covering group of the real symplectic group},
JOURNAL = {J. Geom. Phys.},
FJOURNAL = {Journal of Geometry and Physics},
VOLUME = {62},
YEAR = {2012},
NUMBER = {10},
PAGES = {2044--2058},
ISSN = {0393-0440},
CODEN = {JGPHE5},
MRCLASS = {53D05 (22E20 53C29)},
MRNUMBER = {2944792},
MRREVIEWER = {Xiang Tang},
DOI = {10.1016/j.geomphys.2012.05.009},
URL = {http://dx.doi.org/10.1016/j.geomphys.2012.05.009},
}
@article {MR0322866,
AUTHOR = {Ray, Nigel},
TITLE = {A geometrical observation on the {A}rf invariant of a framed
manifold},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {4},
YEAR = {1972},
PAGES = {163--164},
ISSN = {0024-6093},
MRCLASS = {55E50},
MRNUMBER = {MR0322866 (48 \#1227)},
MRREVIEWER = {K. Aoki},
}
@article {MR631944,
AUTHOR = {L{\"o}ffler, Peter and Ray, Nigel},
TITLE = {A geometrical proof of a theorem of {K}ahn and {P}riddy},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {The Journal of the London Mathematical Society. Second Series},
VOLUME = {24},
YEAR = {1981},
NUMBER = {2},
PAGES = {329--334},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {55N22 (55Q10)},
MRNUMBER = {MR631944 (83c:55007)},
MRREVIEWER = {Stewart B. Priddy},
}
@article {MR0268911,
AUTHOR = {Orlik, Peter and Raymond, Frank},
TITLE = {Actions of the torus on {$4$}-manifolds. {I}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {152},
YEAR = {1970},
PAGES = {531--559},
ISSN = {0002-9947},
MRCLASS = {57.47},
MRNUMBER = {MR0268911 (42 \#3808)},
MRREVIEWER = {L. S. Husch},
}
@article {MR0348779,
AUTHOR = {Orlik, Peter and Raymond, Frank},
TITLE = {Actions of the torus on {$4$}-manifolds. {II}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {89--112},
ISSN = {0040-9383},
MRCLASS = {57E15 (57E25)},
MRNUMBER = {MR0348779 (50 \#1274)},
MRREVIEWER = {L. S. Husch},
}
@incollection {MR518415,
AUTHOR = {Neumann, W. D. and Raymond, Frank},
TITLE = {Seifert manifolds, plumbing, {$\mu $}-invariant and
orientation reversing maps},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos., {U}niv.
{C}alifornia, {S}anta {B}arbara, {C}alif., 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {664},
PAGES = {163--196},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57N10 (14J17 32B99)},
MRNUMBER = {MR518415 (80e:57008)},
MRREVIEWER = {M. Sebastiani},
}
@article {MR1700539,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {A combinatorial method for computing {S}teenrod squares},
NOTE = {Effective methods in algebraic geometry (Saint-Malo, 1998)},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {139},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {89--108},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {55N45 (55S10 55U10 55U15)},
MRNUMBER = {MR1700539 (2000i:55024)},
MRREVIEWER = {Kalathoor Varadarajan},
}
@incollection {MR1729622,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {Computing cocycles on simplicial complexes},
BOOKTITLE = {Computer algebra in scientific computing---{CASC}'99
({M}unich)},
PAGES = {177--190},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {55S05 (55-04)},
MRNUMBER = {MR1729622 (2001a:55014)},
}
@article {MR1994941,
AUTHOR = {Gonz{\'a}lez-D{\'{\i}}az, Roc{\'{\i}}o and Real, Pedro},
TITLE = {Computation of cohomology operations of finite simplicial
complexes},
NOTE = {Algebraic topological methods in computer science (Stanford,
CA, 2001)},
JOURNAL = {Homology Homotopy Appl.},
FJOURNAL = {Homology, Homotopy and Applications},
VOLUME = {5},
YEAR = {2003},
NUMBER = {2},
PAGES = {83--93 (electronic)},
ISSN = {1512-0139},
MRCLASS = {55S05 (55U10)},
MRNUMBER = {MR1994941 (2004f:55006)},
MRREVIEWER = {Godofredo Iommi Amun{\'a}tegui},
}
@article{gonzalez-diaz_simplification_2011,
title = {Simplification Techniques for Maps in Simplicial Topology},
url = {http://arxiv.org/abs/1105.5502},
doi = {doi:10.1016/j.jsc.2004.04.008},
abstract = {This paper offers an algorithmic solution to the problem of obtaining "economical" formulae for some maps in Simplicial Topology, having, in principle, a high computational cost in their evaluation. In particular, maps of this kind are used for defining cohomology operations at the cochain level. As an example, we obtain explicit combinatorial descriptions of Steenrod k-th powers exclusively in terms of face operators.},
journal = {1105.5502},
author = {Rocio Gonzalez-Diaz and Pedro Real},
month = may,
year = {2011},
note = {Journal of symbolic computation, Vol. 40, 4, 2005, 1208-1224},
keywords = {Mathematics - Algebraic Topology},
}
@article {MR0385900,
AUTHOR = {Jones, John and Rees, Elmer},
TITLE = {A note on the {K}ervaire invariant},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {7},
YEAR = {1975},
NUMBER = {3},
PAGES = {279--282},
ISSN = {0024-6093},
MRCLASS = {57D90},
MRNUMBER = {MR0385900 (52 \#6759)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0419852,
AUTHOR = {Atiyah, M. F. and Rees, Elmer},
TITLE = {Vector bundles on projective 3-space},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {35},
YEAR = {1976},
PAGES = {131--153},
ISSN = {0020-9910},
MRCLASS = {32L05 (55F15 14F05)},
MRNUMBER = {0419852 (54 \#7870)},
MRREVIEWER = {P. E. Newstead},
}
@article {MR1053479,
AUTHOR = {Rees, Elmer},
TITLE = {Problems concerning embeddings of manifolds},
JOURNAL = {Adv. in Math. (China)},
FJOURNAL = {Advances in Mathematics (China). Shuxue Jinzhan},
VOLUME = {19},
YEAR = {1990},
NUMBER = {1},
PAGES = {72--79},
ISSN = {1000-0917},
CODEN = {SHCCAR},
MRCLASS = {57R40 (57R42)},
MRNUMBER = {1053479 (91e:57050)},
MRREVIEWER = {Ulrich Koschorke},
}
@incollection {MR520501,
AUTHOR = {Jones, John and Rees, Elmer},
TITLE = {Kervaire's invariant for framed manifolds},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {141--147},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57R65},
MRNUMBER = {MR520501 (80g:57048)},
MRREVIEWER = {P. J. Kahn},
}
@article {MR742890,
AUTHOR = {Rees, H. D.},
TITLE = {The {$\eta $}-invariant and {W}all nonadditivity},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {267},
YEAR = {1984},
NUMBER = {4},
PAGES = {449--452},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {58G10 (57R20)},
MRNUMBER = {MR742890 (85k:58074)},
MRREVIEWER = {Italo Jos{\'e} Dejter},
DOI = {10.1007/BF01455962},
URL = {http://dx.doi.org/10.1007/BF01455962},
}
@article {MR1885124,
AUTHOR = {Reich, Holger},
TITLE = {On the {$K$}- and {$L$}-theory of the algebra of operators
affiliated to a finite von {N}eumann algebra},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {24},
YEAR = {2001},
NUMBER = {4},
PAGES = {303--326},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {46L80 (19K99 46L10 47L60)},
MRNUMBER = {MR1885124 (2003m:46103)},
MRREVIEWER = {Vasyl L. Ostrovski{\u\i}},
}
@article {MR2030590,
AUTHOR = {Bartels, Arthur and Farrell, F. T. and Jones, Lowell and Reich,
Holger},
TITLE = {On the isomorphism conjecture in algebraic {$K$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {1},
PAGES = {157--213},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {19D50 (19A31 19B28)},
MRNUMBER = {MR2030590 (2004m:19004)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@article {MR2365652,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {On the {F}arrell-{J}ones conjecture and its applications},
JOURNAL = {J. Topol.},
FJOURNAL = {Journal of Topology},
VOLUME = {1},
YEAR = {2008},
NUMBER = {1},
PAGES = {57--86},
ISSN = {1753-8416},
MRCLASS = {19D55 (19A31 19B28)},
MRNUMBER = {MR2365652 (2008m:19001)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1112/jtopol/jtm008},
URL = {http://dx.doi.org/10.1112/jtopol/jtm008},
}
@article {blr,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Reich, Holger},
TITLE = {The K-theoretic Farrell-Jones conjecture for hyperbolic groups},
}
@article{davis_algebraic_2010,
title = {Algebraic K-theory over the infinite dihedral group: a controlled topology approach},
shorttitle = {Algebraic K-theory over the infinite dihedral group},
url = {http://arxiv.org/abs/1002.3702},
abstract = {We use controlled topology applied to the action of the infinite dihedral group on a partially compactified plane and deduce two consequences for algebraic K-theory. The first is that the family in the K-theoretic {Farrell-Jones} conjecture can be reduced to only those virtually cyclic groups which admit a surjection with finite kernel onto a cyclic group. The second is that the Waldhausen Nil groups for a group which maps epimorphically onto the infinite dihedral group can be computed in terms of the {Farrell-Bass} Nil groups of the index two subgroup which maps surjectively to the infinite cyclic group.},
journal = {1002.3702},
author = {Jim Davis and Frank Quinn and Holger Reich},
month = feb,
year = {2010},
keywords = {{57Q10,} {16E20,} Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology},
}
@article{ic,
title = {{Isomorphism Conjectures in K- and L-Theory}},
author = {Wolfgang L{\"u}ck and Holger Reich},
}
@article{math.AT/0302116,
title = {{Commuting homotopy limits and smash products}},
author = {Wolfgang L{\"u}ck and Holger Reich and Marco Varisco},
howpublished = {K-Theory, 30 (2): 137--165, 2003},
}
@article{math.GT/9809011,
title = {{Novikov-Shubin invariants for arbitrary group actions and
their positivity}},
author = {Wolfgang L{\"u}ck and Holger Reich and Thomas Schick},
}
@article{math.KT/0402405,
title = {{The Baum-Connes and the Farrell-Jones Conjectures in K- and
L-Theory}},
author = {Wolfgang L{\"u}ck and Holger Reich},
}
@article {reid2,
AUTHOR = {Reid, M.A.},
TITLE = {Surface cyclic quotient singularities abd Hirzebruch-Jung resolutions},
}
@article {MR0000634,
AUTHOR = {Reidemeister, K.},
TITLE = {Durchschnitt und {S}chnitt von {H}omotopieketten},
JOURNAL = {Monatsh. Math. Phys.},
VOLUME = {48},
YEAR = {1939},
PAGES = {226--239},
MRCLASS = {56.0X},
MRNUMBER = {0000634 (1,105h)},
MRREVIEWER = {C. H. Dowker},
}
@book {MR0345089,
AUTHOR = {Reidemeister, K.},
TITLE = {Knotentheorie},
NOTE = {Reprint},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1974},
PAGES = {vi+74},
MRCLASS = {55-02 (55A25)},
MRNUMBER = {MR0345089 (49 \#9828)},
}
@book {MR0345089_eng,
AUTHOR = {Reidemeister, K.},
TITLE = {Knot theory},
NOTE = {English translation},
YEAR = {1983},
}
@article {MR1882135,
AUTHOR = {Leung, Naichung Conan and Reiner, Victor},
TITLE = {The signature of a toric variety},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {111},
YEAR = {2002},
NUMBER = {2},
PAGES = {253--286},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {14M25 (52B05 52B20)},
MRNUMBER = {MR1882135 (2002m:14041)},
MRREVIEWER = {Joseph Gubeladze},
DOI = {10.1215/S0012-7094-02-11123-5},
URL = {http://dx.doi.org/10.1215/S0012-7094-02-11123-5},
}
@article {MR0153021,
AUTHOR = {Reinhart, Bruce L.},
TITLE = {Cobordism and the {E}uler number},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {2},
YEAR = {1963},
PAGES = {173--177},
ISSN = {0040-9383},
MRCLASS = {57.10 (57.32)},
MRNUMBER = {0153021 (27 \#2990)},
MRREVIEWER = {P. E. Conner},
}
@article{reis_smooth_2010,
title = {Smooth maps to the plane and Pontryagin classes, Part I: Local aspects},
shorttitle = {Smooth maps to the plane and Pontryagin classes, Part I},
url = {http://arxiv.org/abs/1008.5104},
abstract = {We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the target. The first point of view leads us to a classification of certain germs of maps, which we review here although it is very well known. The second point of view leads us to a classification of certain multigerms of maps.},
journal = {1008.5104},
author = {Rui M. G Reis and Michael Weiss},
month = aug,
year = {2010},
keywords = {{57R45} {(Primary),} {57R35} {(Secondary),} {57R70,} Mathematics - Algebraic Topology},
}
@article{reis_smooth_2011,
title = {Smooth maps to the plane and Pontryagin classes, Part {II:} Homotopy theory},
shorttitle = {Smooth maps to the plane and Pontryagin classes, Part {II}},
url = {http://arxiv.org/abs/1102.0233},
journal = {1102.0233},
author = {Rui M. G Reis and Michael Weiss},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Primary {57D20,} Secondary {55F40,} {57D10}},
}
@book {MR1415833,
AUTHOR = {Ebbinghaus, H.-D. and Hermes, H. and Hirzebruch, F. and
Koecher, M. and Mainzer, K. and Neukirch, J. and Prestel, A.
and Remmert, R.},
TITLE = {Numbers},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {123},
NOTE = {With an introduction by K. Lamotke,
Translated from the second 1988 German edition by H. L. S.
Orde,
Translation edited and with a preface by J. H. Ewing,
Readings in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1991},
PAGES = {xviii+395},
ISBN = {0-387-97497-0},
MRCLASS = {00A05 (01A65 11-00 11-03)},
MRNUMBER = {MR1415833 (97f:00001)},
}
@article {MR1895370,
AUTHOR = {Diao, Y. and Ernst, C. and Janse Van Rensburg, E. J.},
TITLE = {Upper bounds on linking numbers of thick links},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {11},
YEAR = {2002},
NUMBER = {2},
PAGES = {199--210},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {1895370 (2003a:57009)},
MRREVIEWER = {Nikolai N. Saveliev},
DOI = {10.1142/S0218216502001573},
URL = {http://dx.doi.org/10.1142/S0218216502001573},
}
@incollection {MR11,
AUTHOR = {Repov{\v{s}}, Du{\v{s}}an},
TITLE = {The history of the recognition problem for manifolds},
BOOKTITLE = {Proc. Conf. 30th Anniversary Ljubljana--Zagreb Topology Seminar, Ljubljana 2003},
PAGES = {23--29},
YEAR = {2003},
}
@incollection {MR1196725,
AUTHOR = {Repov{\v{s}}, Du{\v{s}}an},
TITLE = {Detection of higher-dimensional topological manifolds among
topological spaces},
BOOKTITLE = {Geometry {S}eminars. {S}essions on {T}opology and {G}eometry
of {M}anifolds ({I}talian) ({B}ologna, 1990)},
PAGES = {113--143},
PUBLISHER = {Univ. Stud. Bologna},
ADDRESS = {Bologna},
YEAR = {1992},
MRCLASS = {57N15 (55M15 57P99)},
MRNUMBER = {MR1196725 (93j:57011)},
MRREVIEWER = {John J. Walsh},
}
@article {MR1296925,
AUTHOR = {Repov{\v{s}}, Du{\v{s}}an},
TITLE = {The recognition problem for topological manifolds: a survey},
NOTE = {Workshop on Geometry and Topology (Hanoi, 1993)},
JOURNAL = {Kodai Math. J.},
FJOURNAL = {Kodai Mathematical Journal},
VOLUME = {17},
YEAR = {1994},
NUMBER = {3},
PAGES = {538--548},
ISSN = {0386-5991},
MRCLASS = {57N75 (57N15 57N60 57P05)},
MRNUMBER = {MR1296925 (96d:57024)},
}
@incollection {MR925857,
AUTHOR = {Repov{\v{s}}, Du{\v{s}}an},
TITLE = {The recognition problem for topological manifolds},
BOOKTITLE = {Geometric and algebraic topology},
SERIES = {Banach Center Publ.},
VOLUME = {18},
PAGES = {77--108},
PUBLISHER = {PWN},
ADDRESS = {Warsaw},
YEAR = {1986},
MRCLASS = {57N60 (57N10 57P05)},
MRNUMBER = {MR925857 (89d:57024)},
MRREVIEWER = {Frank Quinn},
}
@article{retakh_noncommutative_2000,
title = {Noncommutative Rational Functions and Farber's Invariants of Boundary Links},
url = {http://arxiv.org/abs/math/0004112},
abstract = {In [2] M. Farber constructed invariants of m-component boundary links with values in algebra of noncommutative rational functions. In this paper we simplify his constructions and express them by using noncommutative generalizations of determinants introduced by Gelfand and Retakh. In particular, for every finite-dimensional module N over the algebra of noncommutative polynomials of m variables we construct a characteristic rational power series {chi(N).} If N is an algebraically closed field of arbitrary characteristic and N is semisimple, the series {chi(N)} determines N.},
journal = {math/0004112},
author = {Vladimir Retakh and Christophe Reutenauer and Arkady Vaintrob},
month = apr,
year = {2000},
note = {Amer. Math. Soc. Transl. (2) Vol. 194, 1999},
keywords = {{16W30,} {57M25,} {68Q70,} Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@article{retakh_noncommutative_2000,
title = {Noncommutative Rational Functions and Farber's Invariants of Boundary Links},
url = {http://arxiv.org/abs/math/0004112},
abstract = {In [2] M. Farber constructed invariants of m-component boundary links with values in algebra of noncommutative rational functions. In this paper we simplify his constructions and express them by using noncommutative generalizations of determinants introduced by Gelfand and Retakh. In particular, for every finite-dimensional module N over the algebra of noncommutative polynomials of m variables we construct a characteristic rational power series {chi(N).} If N is an algebraically closed field of arbitrary characteristic and N is semisimple, the series {chi(N)} determines N.},
journal = {math/0004112},
author = {Vladimir Retakh and Christophe Reutenauer and Arkady Vaintrob},
month = apr,
year = {2000},
note = {Amer. Math. Soc. Transl. (2) Vol. 194, 1999},
keywords = {{16W30,} {57M25,} {68Q70,} Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@book {MR0222893,
AUTHOR = {de Rham, G. and Maumary, S. and Kervaire, M.},
TITLE = {Torsion et type simple d'homotopie},
SERIES = {Expos\'es faits au s\'eminaire de Topologie de l'Universit\'e
de Lausanne. Lecture Notes in Mathematics, No. 48},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1967},
PAGES = {iii+101},
MRCLASS = {55.40},
MRNUMBER = {MR0222893 (36 \#5943)},
MRREVIEWER = {J. F. Adams},
}
@book {MR0258043,
AUTHOR = {de Rham, G.},
TITLE = {Essays on topology and related topics},
SERIES = {M\'emoires d\'edi\'es \`a Georges de Rham. Publi\'es sous la
direction de Andr\'e Haefliger et Raghavan Narasimhan},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1970},
PAGES = {xii+252 pp. (1 plate)},
MRCLASS = {57.00 (00.00)},
MRNUMBER = {MR0258043 (41 \#2690)},
}
@book {derham,
AUTHOR = {de Rham, G.},
TITLE = {Sur l'analysis des varietes en n dimensions},
JOURNAL = {J. Math. Pures Appl.},
VOLUME = {X},
YEAR = {1931},
PAGES = {115-200},
}
@incollection {MR1364192,
AUTHOR = {Moffatt, H. K. and Ricca, Renzo L.},
TITLE = {Helicity and the {C}\u alug\u areanu invariant [ {MR}1193010
(94b:53006)]},
BOOKTITLE = {Knots and applications},
SERIES = {Ser. Knots Everything},
VOLUME = {6},
PAGES = {251--269},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {1995},
MRCLASS = {53A04 (57M25 76A02 76C99 92D20)},
MRNUMBER = {1364192},
DOI = {10.1142/9789812796189_0006},
URL = {http://dx.doi.org/10.1142/9789812796189_0006},
}
@article {MR2851711,
AUTHOR = {Ricca, Renzo L. and Nipoti, Bernardo},
TITLE = {Gauss' linking number revisited},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {20},
YEAR = {2011},
NUMBER = {10},
PAGES = {1325--1343},
ISSN = {0218-2165},
MRCLASS = {57M25 (57M27 78A25)},
MRNUMBER = {2851711 (2012j:57017)},
MRREVIEWER = {Mattia Mecchia},
DOI = {10.1142/S0218216511009261},
URL = {http://dx.doi.org/10.1142/S0218216511009261},
}
@book {MR2440945,
AUTHOR = {Richeson, David S.},
TITLE = {Euler's gem},
NOTE = {The polyhedron formula and the birth of topology},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2008},
PAGES = {xii+317},
ISBN = {978-0-691-12677-7; 0-691-12677-1},
MRCLASS = {52-03 (01A50 57-01)},
MRNUMBER = {2440945 (2009h:52002)},
}
@article {MR1195730,
AUTHOR = {Richter, William},
TITLE = {High-dimensional knots with {$\pi\sb 1\cong{\bf Z}$} are
determined by their complements in one more dimension than
{F}arber's range},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {120},
YEAR = {1994},
NUMBER = {1},
PAGES = {285--294},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57Q45},
MRNUMBER = {MR1195730 (94b:57027)},
MRREVIEWER = {C. Kearton},
}
@article{kleirich,
AUTHOR = {Klein, John R. and Richter, William},
TITLE = {Nonfiberwise simply connected Poincar\'e surgery},
}
@article {MR1241874,
AUTHOR = {Robbin, Joel and Salamon, Dietmar},
TITLE = {The {M}aslov index for paths},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {32},
YEAR = {1993},
NUMBER = {4},
PAGES = {827--844},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58F05 (58E05)},
MRNUMBER = {MR1241874 (94i:58071)},
MRREVIEWER = {J. S. Joel},
}
@article {MR1331677,
AUTHOR = {Robbin, Joel and Salamon, Dietmar},
TITLE = {The spectral flow and the {M}aslov index},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {27},
YEAR = {1995},
NUMBER = {1},
PAGES = {1--33},
ISSN = {0024-6093},
CODEN = {LMSBBT},
MRCLASS = {58E05 (47A53 47N99 57R57 58G10)},
MRNUMBER = {MR1331677 (96d:58021)},
MRREVIEWER = {James F. Reineck},
}
@article {MR0182965,
AUTHOR = {Robertello, Raymond A.},
TITLE = {An invariant of knot cobordism},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {18},
YEAR = {1965},
PAGES = {543--555},
ISSN = {0010-3640},
MRCLASS = {55.20},
MRNUMBER = {MR0182965 (32 \#447)},
MRREVIEWER = {A. Haefliger},
}
@article {MR1329450,
AUTHOR = {Masbaum, G. and Roberts, Justin},
TITLE = {On central extensions of mapping class groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {302},
YEAR = {1995},
NUMBER = {1},
PAGES = {131--150},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57N05 (57M99)},
MRNUMBER = {MR1329450 (96i:57013)},
MRREVIEWER = {Shigeyuki Morita},
DOI = {10.1007/BF01444490},
URL = {http://dx.doi.org/10.1007/BF01444490},
}
@article{justin,
TITLE={Knots Knotes},
AUTHOR={Roberts, Justin},
}
@incollection {MR2063199,
AUTHOR = {Beck, Matthias and Robins, Sinai},
TITLE = {Dedekind sums: a combinatorial-geometric viewpoint},
BOOKTITLE = {Unusual applications of number theory},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {64},
PAGES = {25--35},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2004},
MRCLASS = {11F20 (11L03 11P21)},
MRNUMBER = {MR2063199 (2005f:11070)},
MRREVIEWER = {Bruce C. Berndt},
}
@book {MR2271992,
AUTHOR = {Beck, Matthias and Robins, Sinai},
TITLE = {Computing the continuous discretely},
SERIES = {Undergraduate Texts in Mathematics},
NOTE = {Integer-point enumeration in polyhedra},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2007},
PAGES = {xviii+226},
ISBN = {978-0-387-29139-0; 0-387-29139-3},
MRCLASS = {11P21 (05-02 05A15 11-02 11H06 52B05 52B20)},
MRNUMBER = {MR2271992 (2007h:11119)},
MRREVIEWER = {Jes{\'u}s A. de Loera},
}
@article{curry_euler_2012,
title = {Euler Calculus with Applications to Signals and Sensing},
url = {http://arxiv.org/abs/1202.0275},
abstract = {This article surveys the Euler calculus - an integral calculus based on Euler characteristic - and its applications to data, sensing, networks, and imaging.},
urldate = {2013-02-18},
journal = {{arXiv:1202.0275}},
author = {Curry, Justin and Ghrist, Robert and Robinson, Michael},
month = jan,
year = {2012},
keywords = {{65R10}, {58C35}, Mathematics - Algebraic Topology},
}
@book {MR1399087,
AUTHOR = {Roe, John},
TITLE = {Index theory, coarse geometry, and topology of manifolds},
SERIES = {CBMS Regional Conference Series in Mathematics},
VOLUME = {90},
PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1996},
PAGES = {x+100},
ISBN = {0-8218-0413-8},
MRCLASS = {58G12 (19J25 19K35 19K56 20F32 46L80 57R67)},
MRNUMBER = {MR1399087 (97h:58155)},
MRREVIEWER = {Jonathan M. Rosenberg},
}
@book {MR1670907,
AUTHOR = {Roe, John},
TITLE = {Elliptic operators, topology and asymptotic methods},
SERIES = {Pitman Research Notes in Mathematics Series},
VOLUME = {395},
EDITION = {Second},
PUBLISHER = {Longman},
ADDRESS = {Harlow},
YEAR = {1998},
PAGES = {ii+209},
ISBN = {0-582-32502-1},
MRCLASS = {58G10 (58G11)},
MRNUMBER = {MR1670907 (99m:58182)},
}
@book {MR1817560,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Analytic {$K$}-homology},
SERIES = {Oxford Mathematical Monographs},
NOTE = {Oxford Science Publications},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2000},
PAGES = {xviii+405},
ISBN = {0-19-851176-0},
MRCLASS = {58J22 (19D55 19K33 19K35 19K56 46L80 58J20)},
MRNUMBER = {1817560 (2002c:58036)},
MRREVIEWER = {Yuri A. Kordyukov},
}
@book {MR2007488,
AUTHOR = {Roe, John},
TITLE = {Lectures on coarse geometry},
SERIES = {University Lecture Series},
VOLUME = {31},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2003},
PAGES = {viii+175},
ISBN = {0-8218-3332-4},
MRCLASS = {53C24 (20F65 46L05 51K05 54E25)},
MRNUMBER = {2007488 (2004g:53050)},
MRREVIEWER = {Jean-Louis Tu},
}
@article {MR2220522,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {I}. {A}nalytic signatures},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {277--299},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67 58J22)},
MRNUMBER = {2220522 (2007c:19004)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1561-8},
URL = {http://dx.doi.org/10.1007/s10977-005-1561-8},
}
@article {MR2220523,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {II}. {G}eometric signatures},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {301--324},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67 58J22)},
MRNUMBER = {2220523 (2007c:19005)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1559-2},
URL = {http://dx.doi.org/10.1007/s10977-005-1559-2},
}
@article {MR2220524,
AUTHOR = {Higson, Nigel and Roe, John},
TITLE = {Mapping surgery to analysis. {III}. {E}xact sequences},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {325--346},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19J25 (19K56 46L80 57R67)},
MRNUMBER = {2220524 (2007c:19006)},
MRREVIEWER = {Jonathan M. Rosenberg},
DOI = {10.1007/s10977-005-1554-7},
URL = {http://dx.doi.org/10.1007/s10977-005-1554-7},
}
@article {roe,
AUTHOR = {Roe, John},
TITLE = {Bounded approximation},
YEAR = {2004},
}
@article {MR1665002,
AUTHOR = {Rogen, Peter},
TITLE = {Gauss-{B}onnet's theorem and closed {F}renet frames},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {73},
YEAR = {1998},
NUMBER = {3},
PAGES = {295--315},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {53A04 (53A05)},
MRNUMBER = {1665002 (2000e:53006)},
MRREVIEWER = {Carmen Chicone},
DOI = {10.1023/A:1005060308315},
URL = {http://dx.doi.org/10.1023/A:1005060308315},
}
@article {plmf,
AUTHOR = {Jahren, Bj{\o}rn and Rognes, John and Waldhausen, Friedhelm},
TITLE = {Spaces of PL manifolds and categories of simple maps},
YEAR = {2009},
}
@article {MR0052101,
AUTHOR = {Rohlin, V. A.},
TITLE = {New results in the theory of four-dimensional manifolds},
JOURNAL = {Doklady Akad. Nauk SSSR (N.S.)},
VOLUME = {84},
YEAR = {1952},
PAGES = {221--224},
MRCLASS = {56.0X},
MRNUMBER = {0052101 (14,573b)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0296070,
AUTHOR = {Rohlin, V. A.},
TITLE = {Proof of a conjecture of {G}udkov},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {6},
YEAR = {1972},
NUMBER = {2},
PAGES = {62--64},
ISSN = {0374-1990},
MRCLASS = {14N99},
MRNUMBER = {0296070 (45 \#5131)},
MRREVIEWER = {A. H. Wallace},
}
@article {MR0298684,
AUTHOR = {Rohlin, V. A.},
TITLE = {Two-dimensional submanifolds of four-dimensional manifolds},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {5},
YEAR = {1971},
NUMBER = {1},
PAGES = {48--60},
ISSN = {0374-1990},
MRCLASS = {57D40},
MRNUMBER = {0298684 (45 \#7733)},
MRREVIEWER = {G. Lusztig},
}
@article {MR0442935,
AUTHOR = {Roitberg, Joseph},
TITLE = {The signature of quasi-nilpotent fiber bundles},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {39},
YEAR = {1977},
NUMBER = {1},
PAGES = {91--94},
ISSN = {0020-9910},
MRCLASS = {55F50 (57D20)},
MRNUMBER = {0442935 (56 \#1310)},
MRREVIEWER = {W. Meyer},
}
@book {MR0515288,
AUTHOR = {Rolfsen, Dale},
TITLE = {Knots and links},
NOTE = {Mathematics Lecture Series, No. 7},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Berkeley, Calif.},
YEAR = {1976},
PAGES = {ix+439},
MRCLASS = {55-01},
MRNUMBER = {MR0515288 (58 \#24236)},
}
@article {MR604710,
AUTHOR = {Ronga, Felice},
TITLE = {On multiple points of smooth immersions},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {4},
PAGES = {521--527},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R42 (58C27)},
MRNUMBER = {MR604710 (82d:57018)},
MRREVIEWER = {R. E. Stong},
}
@book {MR1464692,
AUTHOR = {Buskes, Gerard and van Rooij, Arnoud},
TITLE = {Topological spaces},
SERIES = {Undergraduate Texts in Mathematics},
NOTE = {From distance to neighborhood},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+313},
ISBN = {0-387-94994-1},
MRCLASS = {54-01},
MRNUMBER = {MR1464692 (98f:54001)},
}
@article{pre05705438,
author="Lorenz, Falko and Roquette, Peter",
title="{On the Arf invariant in historical perspective.}",
language="English",
journal="Math. Semesterber. ",
volume="57",
number="1",
pages="73-102",
year="2010",
doi={10.1007/s00591-010-0072-8},
classmath="{*01-99 (History of mathematics and biography)
11-03 (Historical (number theory))
12-03 (Historical (field theory))",
}
@article {MR638743,
AUTHOR = {Rosen, Kenneth H.},
TITLE = {Dedekind-{R}ademacher sums and lattice points in triangles and
tetrahedra},
JOURNAL = {Acta Arith.},
FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
VOLUME = {39},
YEAR = {1981},
NUMBER = {1},
PAGES = {59--75},
ISSN = {0065-1036},
CODEN = {AARIA9},
MRCLASS = {10J25},
MRNUMBER = {MR638743 (83b:10060)},
MRREVIEWER = {Masako Izumi},
}
@book {MR1629468,
AUTHOR = {Beutelspacher, Albrecht and Rosenbaum, Ute},
TITLE = {Projective geometry: from foundations to applications},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1998},
PAGES = {x+258},
ISBN = {0-521-48277-1; 0-521-48364-6},
MRCLASS = {51-01 (94A60 94B05)},
MRNUMBER = {1629468 (99f:51001)},
MRREVIEWER = {Giorgio Faina},
}
@book {MR1282290,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {Algebraic {$K$}-theory and its applications},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {147},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {x+392},
ISBN = {0-387-94248-3},
MRCLASS = {19-01 (19-02)},
MRNUMBER = {MR1282290 (95e:19001)},
MRREVIEWER = {Dominique Arlettaz},
}
@article{math.AT/0208162,
title = {{The equivariant Lefschetz fixed point theorem for proper
cocompact G-manifolds}},
author = {Wolfgang L{\"u}ck and Jonathan Rosenberg},
}
@article{math.KT/0208164,
title = {{Equivariant Euler characteristics and K-homology Euler
classes for proper cocompact G-manifolds}},
author = {Wolfgang L{\"u}ck and Jonathan Rosenberg},
journal = {Geom. Topol.},
volume = 7,
year = 2003,
pages = {569--613},
}
@article{rosenberg,
AUTHOR = {Rosenberg, Jonathan},
TITLE = {K-theory and geometric topology},
}
@paper{roswein,
AUTHOR = {Jonathan Rosenberg and Shmuel Weinberger},
TITLE = {The signature operator at 2},
}
@article {MR2218417,
AUTHOR = {Rosenthal, David},
TITLE = {Continuous control and the algebraic {$L$}-theory assembly
map},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {18},
YEAR = {2006},
NUMBER = {2},
PAGES = {193--209},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19G24 (57R67)},
MRNUMBER = {MR2218417 (2007h:19010)},
MRREVIEWER = {Ian Hambleton},
DOI = {10.1515/FORUM.2006.012},
URL = {http://dx.doi.org/10.1515/FORUM.2006.012},
}
@article {rose,
AUTHOR = {Rosenthal, David},
TITLE = {A user's guide to continuously controlled algebra},
YEAR = {2008},
}
@article {MR0290386,
AUTHOR = {Rosenzweig, H. L.},
TITLE = {Bordism of involutions on manifolds},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {16},
YEAR = {1972},
PAGES = {1--10},
ISSN = {0019-2082},
MRCLASS = {57.10},
MRNUMBER = {0290386 (44 \#7568)},
MRREVIEWER = {M. F. Atiyah},
}
@book {MR1632779,
AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
Tignol, Jean-Pierre},
TITLE = {The book of involutions},
SERIES = {American Mathematical Society Colloquium Publications},
VOLUME = {44},
NOTE = {With a preface in French by J. Tits},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xxii+593},
ISBN = {0-8218-0904-0},
MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
MRNUMBER = {MR1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}
@article {MR0161805,
AUTHOR = {Rota, Gian-Carlo},
TITLE = {The number of partitions of a set},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {71},
YEAR = {1964},
PAGES = {498--504},
ISSN = {0002-9890},
MRCLASS = {05.10},
MRNUMBER = {MR0161805 (28 \#5009)},
MRREVIEWER = {L. Carlitz},
}
@article {MR0174487,
AUTHOR = {Rota, Gian-Carlo},
TITLE = {On the foundations of combinatorial theory. {I}. {T}heory of
{M}\"obius functions},
JOURNAL = {Z. Wahrscheinlichkeitstheorie und Verw. Gebiete},
VOLUME = {2},
YEAR = {1964},
PAGES = {340--368 (1964)},
MRCLASS = {05.05},
MRNUMBER = {MR0174487 (30 \#4688)},
MRREVIEWER = {M. A. Harrison},
}
@article {MR0060460,
AUTHOR = {Roth, William E.},
TITLE = {On the characteristic polynomial of the product of two
matrices},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {5},
YEAR = {1954},
PAGES = {1--3},
ISSN = {0002-9939},
MRCLASS = {09.0X},
MRNUMBER = {MR0060460 (15,672e)},
MRREVIEWER = {J. L. Brenner},
}
@article {MR0079560,
AUTHOR = {Roth, William E.},
TITLE = {On the characteristic polynomial of the product of several
matrices},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {7},
YEAR = {1956},
PAGES = {578--582},
ISSN = {0002-9939},
MRCLASS = {15.0X},
MRNUMBER = {MR0079560 (18,105f)},
MRREVIEWER = {J. L. Brenner},
}
@article {rounds,
AUTHOR = {Rounds, Nathaniel},
TITLE = {Local Poincare Duality},
NOTE = {Stony Brook Ph. D. thesis},
}
@article {MR0222904,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {An embedding without a normal microbundle},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {3},
YEAR = {1967},
PAGES = {293--299},
ISSN = {0020-9910},
MRCLASS = {57.05},
MRNUMBER = {MR0222904 (36 \#5954)},
MRREVIEWER = {I. M. James},
}
@article {MR0226645a,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {1--28},
ISSN = {0003-486X},
MRCLASS = {57.05},
MRNUMBER = {MR0226645 (37 \#2234b)},
}
@article {MR0226645b,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {1--28},
ISSN = {0003-486X},
MRCLASS = {57.05},
MRNUMBER = {MR0226645 (37 \#2234a)},
}
@article {MR0232404,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {III}. {H}omotopy theory},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {431--483},
ISSN = {0003-486X},
MRCLASS = {57.30},
MRNUMBER = {MR0232404 (38 \#729)},
MRREVIEWER = {J. Kister},
}
@incollection {MR0279816,
AUTHOR = {Rourke, C. P.},
TITLE = {Embedded handle theory, concordance and isotopy},
BOOKTITLE = {Topology of {M}anifolds ({P}roc. {I}nst., {U}niv. of
{G}eorgia, {A}thens, {G}a., 1969)},
PAGES = {431--438},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.01 (55.00)},
MRNUMBER = {0279816 (43 \#5537)},
MRREVIEWER = {J. F. P. Hudson},
}
@article {MR0298671,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {On topological neighbourhoods},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {22},
YEAR = {1970},
PAGES = {387--424},
ISSN = {0010-437X},
MRCLASS = {57C50},
MRNUMBER = {MR0298671 (45 \#7720)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0300281,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {{$\triangle $}-sets. {I}. {H}omotopy theory, {II.} Block fibrations},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {22},
YEAR = {1971},
PAGES = {321--338 + 465--485},
MRCLASS = {55F60 (55D99)},
MRNUMBER = {MR0300281 (45 \#9327)},
MRREVIEWER = {E. B. Curtis},
}
@article {MR0305416,
AUTHOR = {Rourke, C. P. and Sullivan, Dennis},
TITLE = {On the {K}ervaire obstruction},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {94},
YEAR = {1971},
PAGES = {397--413},
MRCLASS = {57C50 (57C35)},
MRNUMBER = {MR0305416 (46 \#4546)},
MRREVIEWER = {H. Suzuki},
}
@book {MR0350744,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Introduction to piecewise-linear topology},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {viii+123},
MRCLASS = {57CXX},
MRNUMBER = {MR0350744 (50 \#3236)},
MRREVIEWER = {R. C. Kirby},
}
@book {MR0413113,
AUTHOR = {Buoncristiano, S. and Rourke, C. P. and Sanderson, Brian},
TITLE = {A geometric approach to homology theory},
NOTE = {London Mathematical Society Lecture Note Series, No. 18},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1976},
PAGES = {iii+149},
MRCLASS = {57A65 (55B35 57C20 57C50)},
MRNUMBER = {0413113 (54 \#1234)},
MRREVIEWER = {W. Metzler},
}
@article {MR0494134,
AUTHOR = {Levitt, Norman and Rourke, C. P.},
TITLE = {The existence of combinatorial formulae for characteristic
classes},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {239},
YEAR = {1978},
PAGES = {391--397},
ISSN = {0002-9947},
MRCLASS = {57D20 (57C05)},
MRNUMBER = {0494134 (58 \#13063)},
MRREVIEWER = {Robert MacPherson},
}
@article {MR809959,
AUTHOR = {Rourke, C. P.},
TITLE = {A new proof that {$\Omega\sb 3$} is zero},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {31},
YEAR = {1985},
NUMBER = {2},
PAGES = {373--376},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {57N10 (57Q60)},
MRNUMBER = {MR809959 (87f:57016)},
MRREVIEWER = {Charles Livingston},
}
@article {MR1289334,
AUTHOR = {Kirk, Paul and Klassen, Eric and Ruberman, Daniel},
TITLE = {Splitting the spectral flow and the {A}lexander matrix},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {69},
YEAR = {1994},
NUMBER = {3},
PAGES = {375--416},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R57 (57N10 57R20 58G10)},
MRNUMBER = {MR1289334 (95h:57037)},
MRREVIEWER = {Louis Funar},
DOI = {10.1007/BF02564494},
URL = {http://dx.doi.org/10.1007/BF02564494},
}
@article {MR2832713,
AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai},
TITLE = {The {$\overline\mu$}-invariant of {S}eifert fibered homology
spheres and the {D}irac operator},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {154},
YEAR = {2011},
PAGES = {93--101},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57M27 (11F20 57R57 58J28)},
MRNUMBER = {2832713},
MRREVIEWER = {Hans U. Boden},
DOI = {10.1007/s10711-010-9569-5},
URL = {http://dx.doi.org/10.1007/s10711-010-9569-5},
}
@article {MR928028,
AUTHOR = {Cappell, Sylvain E. and Ruberman, Daniel},
TITLE = {Imbeddings and homology cobordisms of lens spaces},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {63},
YEAR = {1988},
NUMBER = {1},
PAGES = {75--88},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R40 (19G24 57Q60)},
MRNUMBER = {928028 (89c:57040)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1007/BF02566753},
URL = {http://dx.doi.org/10.1007/BF02566753},
}
@article {MR933307,
AUTHOR = {Ruberman, Daniel},
TITLE = {The {C}asson-{G}ordon invariants in high-dimensional knot
theory},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {306},
YEAR = {1988},
NUMBER = {2},
PAGES = {579--595},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (57M12 57M25 57R67)},
MRNUMBER = {MR933307 (89g:57031)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@article {MR1850189,
AUTHOR = {Weber, Claude and Pajitnov, A.V. and Rudolph, L.},
TITLE = {The {M}orse-{N}ovikov number for knots and links},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = {13},
YEAR = {2001},
NUMBER = {3},
PAGES = {105--118},
ISSN = {0234-0852},
MRCLASS = {57M27},
MRNUMBER = {MR1850189 (2002k:57040)},
MRREVIEWER = {Vyacheslav S. Krushkal},
}
@book {MR1627486,
AUTHOR = {Rudyak, Yuli B.},
TITLE = {On {T}hom spectra, orientability, and cobordism},
SERIES = {Springer Monographs in Mathematics},
NOTE = {With a foreword by Haynes Miller},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1998},
PAGES = {xii+587},
ISBN = {3-540-62043-5},
MRCLASS = {55-02 (55N22 55P42 57-02)},
MRNUMBER = {MR1627486 (99f:55001)},
MRREVIEWER = {Donald M. Davis},
}
@article{math.AT/0105047,
title = {{Piecewise linear structures on topological manifolds}},
author = {Yuli B. Rudyak},
}
@incollection {MR612998,
AUTHOR = {R{\"o}mer, H.},
TITLE = {Atiyah-{S}inger index theorem and quantum field theory},
BOOKTITLE = {Differential geometric methods in mathematical physics
({P}roc. {I}nternat. {C}onf., {T}ech. {U}niv. {C}lausthal,
{C}lausthal-{Z}ellerfeld, 1978)},
SERIES = {Lecture Notes in Phys.},
VOLUME = {139},
PAGES = {167--211},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {81E10 (58E20 58G10)},
MRNUMBER = {MR612998 (82g:81063)},
MRREVIEWER = {S. M. Christensen},
}
@article {MR1926861,
AUTHOR = {Blanl{\oe}il, Vincent and Saeki, Osamu},
TITLE = {A theory of concordance for non-spherical 3-knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {354},
YEAR = {2002},
NUMBER = {10},
PAGES = {3955--3971 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (57Q60)},
MRNUMBER = {1926861 (2003i:57037)},
MRREVIEWER = {J. P. Levine},
DOI = {10.1090/S0002-9947-02-03024-6},
URL = {http://dx.doi.org/10.1090/S0002-9947-02-03024-6},
}
@article {MR2195992,
AUTHOR = {Blanl{\oe}il, Vincent and Saeki, Osamu},
TITLE = {Cobordisme des surfaces plong\'ees dans {$S^4$}},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka Journal of Mathematics},
VOLUME = {42},
YEAR = {2005},
NUMBER = {4},
PAGES = {751--765},
ISSN = {0030-6126},
CODEN = {OJMAA7},
MRCLASS = {57N10 (57N70)},
MRNUMBER = {2195992 (2007m:57023)},
URL = {http://projecteuclid.org/getRecord?id=euclid.ojm/1153494550},
}
@article {MR2306217,
AUTHOR = {Manzoli Neto, Oziride and Massago, Sadao and Saeki, Osamu},
TITLE = {Open book structures on {$(n-1)$}-connected
{$(2n+1)$}-manifolds},
JOURNAL = {J. Math. Sci. Univ. Tokyo},
FJOURNAL = {The University of Tokyo. Journal of Mathematical Sciences},
VOLUME = {13},
YEAR = {2006},
NUMBER = {4},
PAGES = {439--523},
ISSN = {1340-5705},
MRCLASS = {57Q45 (57R65)},
MRNUMBER = {MR2306217 (2008i:57029)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR1124993,
AUTHOR = {Sagan, Hans},
TITLE = {Some reflections on the emergence of space-filling curves: the
way it could have happened and should have happened, but did
not happen},
JOURNAL = {J. Franklin Inst.},
FJOURNAL = {Journal of the Franklin Institute},
VOLUME = {328},
YEAR = {1991},
NUMBER = {4},
PAGES = {419--430},
ISSN = {0016-0032},
CODEN = {JFINAV},
MRCLASS = {01A55 (01A60 26E99 54H99)},
MRNUMBER = {MR1124993 (92g:01043)},
MRREVIEWER = {Ryszard J. Pa{\.w}lak},
}
@book {MR1299533,
AUTHOR = {Sagan, Hans},
TITLE = {Space-filling curves},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xvi+193},
ISBN = {0-387-94265-3},
MRCLASS = {00A05 (01A55 01A60 26-02)},
MRNUMBER = {MR1299533 (95h:00001)},
MRREVIEWER = {Ryszard J. Pa{\.w}lak},
}
@article {MR0120197,
AUTHOR = {Sah, Chih-han},
TITLE = {Quadratic forms over fields of characteristic {$2$}},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {82},
YEAR = {1960},
PAGES = {812--830},
ISSN = {0002-9327},
MRCLASS = {10.00},
MRNUMBER = {MR0120197 (22 \#10954)},
MRREVIEWER = {B. W. Jones},
}
@article {MR1486517,
AUTHOR = {Ogata, Shoetsu and Saito, Masa-Hiko},
TITLE = {Signature defects and eta functions of degenerations of
abelian varieties},
JOURNAL = {Japan. J. Math. (N.S.)},
FJOURNAL = {Japanese Journal of Mathematics. New Series},
VOLUME = {23},
YEAR = {1997},
NUMBER = {2},
PAGES = {319--364},
ISSN = {0289-2316},
CODEN = {JJMAAK},
MRCLASS = {14K10 (11M41 14D05 58G10)},
MRNUMBER = {MR1486517 (99c:14059)},
MRREVIEWER = {V. Kumar Murty},
}
@book {MR2060067,
AUTHOR = {Carter, J. Scott and Kamada, Seiichi and Saito, Masahico},
TITLE = {Surfaces in 4-space},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {142},
NOTE = {Low-Dimensional Topology, III},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {xiv+213},
ISBN = {3-540-21040-7},
MRCLASS = {57Q45 (57M25 57R40)},
MRNUMBER = {MR2060067 (2005e:57065)},
MRREVIEWER = {Sergej V. Matveev},
}
@article {MR512924,
AUTHOR = {Sakai, Takashi},
TITLE = {The manifold of the {L}agrangean subspaces of a symplectic
vector space},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {12},
YEAR = {1977},
NUMBER = {4},
PAGES = {555--564 (1978)},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {58E10 (58G99)},
MRNUMBER = {MR512924 (80b:58028)},
MRREVIEWER = {A. Crumeyrolle},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1214434224},
}
@article {MR0362329,
AUTHOR = {Sakamoto, Koichi},
TITLE = {The {S}eifert matrices of {M}ilnor fiberings defined by
holomorphic functions},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {26},
YEAR = {1974},
PAGES = {714--721},
ISSN = {0025-5645},
MRCLASS = {57D15 (14B05 32C40 57C45)},
MRNUMBER = {MR0362329 (50 \#14771)},
MRREVIEWER = {Alan H. Durfee},
}
@incollection {MR0372244,
AUTHOR = {Sakamoto, Koichi},
TITLE = {Milnor fiberings and their characteristic maps},
BOOKTITLE = {Manifolds---{T}okyo 1973 ({P}roc. {I}nternat. {C}onf.,
{T}okyo, 1973)},
PAGES = {145--150},
PUBLISHER = {Univ. Tokyo Press},
ADDRESS = {Tokyo},
YEAR = {1975},
MRCLASS = {32C40 (57C45)},
MRNUMBER = {MR0372244 (51 \#8460)},
MRREVIEWER = {I. N. Iomdin},
}
@article {MR1241874,
AUTHOR = {Robbin, Joel and Salamon, Dietmar},
TITLE = {The {M}aslov index for paths},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {32},
YEAR = {1993},
NUMBER = {4},
PAGES = {827--844},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {58F05 (58E05)},
MRNUMBER = {MR1241874 (94i:58071)},
MRREVIEWER = {J. S. Joel},
}
@article {MR1331677,
AUTHOR = {Robbin, Joel and Salamon, Dietmar},
TITLE = {The spectral flow and the {M}aslov index},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {27},
YEAR = {1995},
NUMBER = {1},
PAGES = {1--33},
ISSN = {0024-6093},
CODEN = {LMSBBT},
MRCLASS = {58E05 (47A53 47N99 57R57 58G10)},
MRNUMBER = {MR1331677 (96d:58021)},
MRREVIEWER = {James F. Reineck},
}
@book {MR1698616,
AUTHOR = {McDuff, Dusa and Salamon, Dietmar},
TITLE = {Introduction to symplectic topology},
SERIES = {Oxford Mathematical Monographs},
EDITION = {Second},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {x+486},
ISBN = {0-19-850451-9},
MRCLASS = {53D35 (53D40 57R17 57R57 57R58)},
MRNUMBER = {MR1698616 (2000g:53098)},
MRREVIEWER = {Hansj{\"o}rg Geiges},
}
@book {MR1967744,
TITLE = {Invitations to geometry and topology},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {7},
AUTHOR = {Bridson, Martin R. and Salamon, Simon M.},
NOTE = {Dedicated to Brian Steer to mark his 60th birthday},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2002},
PAGES = {x+327},
ISBN = {0-19-850772-0},
MRCLASS = {00B15 (00B30 53-06 57-06 58-06)},
MRNUMBER = {1967744 (2003j:00020)},
}
@article{math.GT/0008049,
title = {{Bordism classes of the multiple points manifolds}},
author = {Konstantin Salikhov},
eprint = {arXiv:math.GT/0008049},
}
@article{math.GT/0203118,
title = {{Multiple points of immersions}},
author = {Konstantin Salikhov},
eprint = {arXiv:math.GT/0203118},
}
@article {MR1873137,
AUTHOR = {Salomonsen, G.},
TITLE = {Atiyah-{P}atodi-{S}inger type index theorems for manifolds
with splitting of {$\eta$}-invariants},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
VOLUME = {11},
YEAR = {2001},
NUMBER = {5},
PAGES = {1031--1095},
ISSN = {1016-443X},
CODEN = {GFANFB},
MRCLASS = {58J20 (58J28 58J32 58J50)},
MRNUMBER = {MR1873137 (2002h:58036)},
MRREVIEWER = {Thomas Schick},
DOI = {10.1007/s00039-001-8224-6},
URL = {http://dx.doi.org/10.1007/s00039-001-8224-6},
}
@article {MR0324718,
AUTHOR = {Salomonsen, Hans Anton},
TITLE = {Bordism and geometric dimension},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {32},
YEAR = {1973},
PAGES = {87--111},
ISSN = {0025-5521},
MRCLASS = {57D90},
MRNUMBER = {MR0324718 (48 \#3068)},
MRREVIEWER = {R. De Sapio},
}
@article {MR0245025,
AUTHOR = {Samelson, H.},
TITLE = {On the {M}ilnor-{S}panier and {A}tiyah duality theorems},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {16},
YEAR = {1969},
PAGES = {1--2},
ISSN = {0026-2285},
MRCLASS = {57.20 (57.31)},
MRNUMBER = {0245025 (39 \#6338)},
MRREVIEWER = {J. Kister},
}
@incollection {MR1721115,
AUTHOR = {Samelson, H.},
TITLE = {{$\pi\sb 3(S\sp 2)$}, {H}. {H}opf, {W}. {K}. {C}lifford, {F}.
{K}lein},
BOOKTITLE = {History of topology},
PAGES = {575--578},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {55-03 (55Q25)},
MRNUMBER = {MR1721115 (2000i:55002)},
MRREVIEWER = {Donald M. Davis},
}
@article {MR0222904,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {An embedding without a normal microbundle},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {3},
YEAR = {1967},
PAGES = {293--299},
ISSN = {0020-9910},
MRCLASS = {57.05},
MRNUMBER = {MR0222904 (36 \#5954)},
MRREVIEWER = {I. M. James},
}
@article {MR0226645a,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {1--28},
ISSN = {0003-486X},
MRCLASS = {57.05},
MRNUMBER = {MR0226645 (37 \#2234b)},
}
@article {MR0226645b,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {1--28},
ISSN = {0003-486X},
MRCLASS = {57.05},
MRNUMBER = {MR0226645 (37 \#2234a)},
}
@article {MR0232404,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Block bundles. {III}. {H}omotopy theory},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {431--483},
ISSN = {0003-486X},
MRCLASS = {57.30},
MRNUMBER = {MR0232404 (38 \#729)},
MRREVIEWER = {J. Kister},
}
@article {MR0298671,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {On topological neighbourhoods},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {22},
YEAR = {1970},
PAGES = {387--424},
ISSN = {0010-437X},
MRCLASS = {57C50},
MRNUMBER = {MR0298671 (45 \#7720)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0300281,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {{$\triangle $}-sets. {I}. {H}omotopy theory, {II.} Block fibrations},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {22},
YEAR = {1971},
PAGES = {321--338 + 465--485},
MRCLASS = {55F60 (55D99)},
MRNUMBER = {MR0300281 (45 \#9327)},
MRREVIEWER = {E. B. Curtis},
}
@book {MR0350744,
AUTHOR = {Rourke, C. P. and Sanderson, Brian},
TITLE = {Introduction to piecewise-linear topology},
NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1972},
PAGES = {viii+123},
MRCLASS = {57CXX},
MRNUMBER = {MR0350744 (50 \#3236)},
MRREVIEWER = {R. C. Kirby},
}
@book {MR0413113,
AUTHOR = {Buoncristiano, S. and Rourke, C. P. and Sanderson, Brian},
TITLE = {A geometric approach to homology theory},
NOTE = {London Mathematical Society Lecture Note Series, No. 18},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1976},
PAGES = {iii+149},
MRCLASS = {57A65 (55B35 57C20 57C50)},
MRNUMBER = {0413113 (54 \#1234)},
MRREVIEWER = {W. Metzler},
}
@article {MR0474289,
AUTHOR = {Koschorke, Ulrich and Sanderson, Brian},
TITLE = {Geometric interpretations of the generalized {H}opf invariant},
JOURNAL = {Math. Scand.},
VOLUME = {41},
YEAR = {1977},
NUMBER = {2},
PAGES = {199--217},
MRCLASS = {55E25},
MRNUMBER = {MR0474289 (57 \#13936)},
MRREVIEWER = {David Handel},
}
@article {MR508891,
AUTHOR = {Koschorke, Ulrich and Sanderson, Brian},
TITLE = {Self-intersections and higher {H}opf invariants},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {283--290},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {55Q25 (55P35 57R90)},
MRNUMBER = {MR508891 (81i:55014)},
}
@article {MR2475024,
AUTHOR = {Hanke, Bernhard and Sanyal, Raman and Schultz, Carsten and
Ziegler, G{\"u}nter M.},
TITLE = {Combinatorial {S}tokes formulas via minimal resolutions},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {116},
YEAR = {2009},
NUMBER = {2},
PAGES = {404--420},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {05A99},
MRNUMBER = {MR2475024},
DOI = {10.1016/j.jcta.2008.06.009},
URL = {http://dx.doi.org/10.1016/j.jcta.2008.06.009},
}
@article {MR0240830,
AUTHOR = {De Sapio, R.},
TITLE = {Manifolds homeomorphic to sphere bundles over spheres},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {75},
YEAR = {1969},
PAGES = {59--63},
ISSN = {0002-9904},
MRCLASS = {57.31},
MRNUMBER = {MR0240830 (39 \#2175)},
MRREVIEWER = {R. Z. Goldstein},
}
@article {MR0243536,
AUTHOR = {De Sapio, R.},
TITLE = {Differential structures on a product of spheres},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {44},
YEAR = {1969},
PAGES = {61--69},
ISSN = {0010-2571},
MRCLASS = {57.10},
MRNUMBER = {MR0243536 (39 \#4857)},
MRREVIEWER = {C. B. Thomas},
}
@article {MR0246307,
AUTHOR = {De Sapio, R.},
TITLE = {Differential structures on a product of spheres. {II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {89},
YEAR = {1969},
PAGES = {305--313},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0246307 (39 \#7611)},
MRREVIEWER = {C. B. Thomas},
}
@article {MR0488093,
AUTHOR = {De Sapio, R.},
TITLE = {On framed bordism},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {24},
YEAR = {1977},
NUMBER = {3},
PAGES = {257--264},
ISSN = {0026-2285},
MRCLASS = {57D90},
MRNUMBER = {MR0488093 (58 \#7664)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0007523,
AUTHOR = {Sard, Arthur},
TITLE = {The measure of the critical values of differentiable maps},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {48},
YEAR = {1942},
PAGES = {883--890},
MRCLASS = {27.2X},
MRNUMBER = {MR0007523 (4,153c)},
MRREVIEWER = {H. Blumberg},
}
@article{sarkar_maslov_2006,
title = {Maslov index formulas for Whitney n-gons},
url = {http://arxiv.org/abs/math/0609673},
abstract = {In this short article, we find an explicit formula for Maslov index of Whitney n-gons joining intersections points of n half-dimensional tori in the symmetric product of a surface. The method also yields a formula for the intersection number of such an n-gon with the fat diagonal in the symmetric product.},
journal = {math/0609673},
author = {Sucharit Sarkar},
month = sep,
year = {2006},
keywords = {{57M27,} Mathematics - Geometric Topology},
}
@incollection {MR2362203,
AUTHOR = {Sarnak, Peter},
TITLE = {Reciprocal geodesics},
BOOKTITLE = {Analytic number theory},
SERIES = {Clay Math. Proc.},
VOLUME = {7},
PAGES = {217--237},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2007},
MRCLASS = {11M36 (11F06)},
MRNUMBER = {2362203 (2009a:11184)},
MRREVIEWER = {Alexandru A. Popa},
}
@article {MR0336749,
AUTHOR = {Sato, Hajime},
TITLE = {Constructing manifolds by homotopy equivalences. {I}. {A}n
obstruction to constructing {${\rm PL}$}-manifolds from
homology manifolds},
JOURNAL = {Ann. Inst. Fourier (Grenoble)},
FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
VOLUME = {22},
YEAR = {1972},
NUMBER = {1},
PAGES = {271--286},
ISSN = {0373-0956},
MRCLASS = {57C15},
MRNUMBER = {MR0336749 (49 \#1522)},
MRREVIEWER = {Perrin Wright},
}
@book {MR1679607,
AUTHOR = {Sato, Hajime},
TITLE = {Algebraic topology: an intuitive approach},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {183},
NOTE = {Translated from the 1996 Japanese original by Kiki Hudson,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {xviii+118},
ISBN = {0-8218-1046-4},
MRCLASS = {55-01},
MRNUMBER = {MR1679607 (2000d:55001)},
MRREVIEWER = {Donald W. Kahn},
}
@article {MR2448866,
AUTHOR = {Sato, Masatoshi},
TITLE = {A class function on the mapping class group of an orientable
surface and the {M}eyer cocycle},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {8},
YEAR = {2008},
NUMBER = {3},
PAGES = {1647--1665},
ISSN = {1472-2747},
MRCLASS = {57N13 (55R40 57M07)},
MRNUMBER = {MR2448866 (2009f:57031)},
MRREVIEWER = {Athanase Papadopoulos},
DOI = {10.2140/agt.2008.8.1647},
URL = {http://dx.doi.org/10.2140/agt.2008.8.1647},
}
@article{sato_local_2009,
title = {A local signature for fibrations with a finite group action},
url = {http://arxiv.org/abs/0912.1952},
abstract = {Let p be a finite regular covering on a 2-sphere with at least three branch points. In this paper, we construct a local signature for the class of fibrations whose general fibers are isomorphic to the covering p.},
journal = {0912.1952},
author = {Masatoshi Sato},
month = dec,
year = {2009},
keywords = {{57N13,} {14D05,} Mathematics - Algebraic Geometry, Mathematics - Geometric Topology},
}
@article {MR603777,
AUTHOR = {Sato, Nobuyuki},
TITLE = {Free coverings and modules of boundary links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {264},
YEAR = {1981},
NUMBER = {2},
PAGES = {499--505},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {MR603777 (82j:57020)},
MRREVIEWER = {J. P. Levine},
}
@article {MR610954,
AUTHOR = {Sato, Nobuyuki},
TITLE = {Algebraic invariants of boundary links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {265},
YEAR = {1981},
NUMBER = {2},
PAGES = {359--374},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45},
MRNUMBER = {MR610954 (82j:57021)},
MRREVIEWER = {J. P. Levine},
}
@book {MR1712769,
AUTHOR = {Saveliev, Nikolai},
TITLE = {Lectures on the topology of {$3$}-manifolds},
SERIES = {de Gruyter Textbook},
NOTE = {An introduction to the Casson invariant},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {1999},
PAGES = {x+199},
ISBN = {3-11-016271-7},
MRCLASS = {57N10 (57M25 57M27 57N13 57R58)},
MRNUMBER = {MR1712769 (2001h:57024)},
MRREVIEWER = {Christine Lescop},
}
@book {MR1941324,
AUTHOR = {Saveliev, Nikolai},
TITLE = {Invariants for homology {$3$}-spheres},
SERIES = {Encyclopaedia of Mathematical Sciences},
VOLUME = {140},
NOTE = {Low-Dimensional Topology, I},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2002},
PAGES = {xii+223},
ISBN = {3-540-43796-7},
MRCLASS = {57M27 (57N10 57R58)},
MRNUMBER = {MR1941324 (2004c:57026)},
MRREVIEWER = {Hans U. Boden},
}
@article {MR2832713,
AUTHOR = {Ruberman, Daniel and Saveliev, Nikolai},
TITLE = {The {$\overline\mu$}-invariant of {S}eifert fibered homology
spheres and the {D}irac operator},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {154},
YEAR = {2011},
PAGES = {93--101},
ISSN = {0046-5755},
CODEN = {GEMDAT},
MRCLASS = {57M27 (11F20 57R57 58J28)},
MRNUMBER = {2832713},
MRREVIEWER = {Hans U. Boden},
DOI = {10.1007/s10711-010-9569-5},
URL = {http://dx.doi.org/10.1007/s10711-010-9569-5},
}
@article {MR743942,
AUTHOR = {Kreck, Matthias and Schafer, J. A.},
TITLE = {Classification and stable classification of manifolds: some
examples},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {59},
YEAR = {1984},
NUMBER = {1},
PAGES = {12--38},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57R65},
MRNUMBER = {MR743942 (85j:57052)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR2097126,
AUTHOR = {Falbel, Elisha and Marco, Jean-Pierre and Schaffhauser,
Florent},
TITLE = {Classifying triples of {L}agrangians in a {H}ermitian vector
space},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {144},
YEAR = {2004},
NUMBER = {1-3},
PAGES = {1--27},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {53D12 (22F05 37J05 57S25)},
MRNUMBER = {MR2097126 (2005h:53136)},
MRREVIEWER = {Kenro Furutani},
DOI = {10.1016/j.topol.2003.08.027},
URL = {http://dx.doi.org/10.1016/j.topol.2003.08.027},
}
@article {MR2338236,
AUTHOR = {Schaffhauser, Florent},
TITLE = {Representations of the fundamental group of an {$L$}-punctured
sphere generated by products of {L}agrangian involutions},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {59},
YEAR = {2007},
NUMBER = {4},
PAGES = {845--879},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {53D30 (53D20)},
MRNUMBER = {MR2338236 (2008h:53146)},
MRREVIEWER = {Philip A. Foth},
URL = {http://journals.cms.math.ca/ams/ams-redirect.php?Journal=CJM&Volume=59&FirstPage=845},
}
@book {MR1299726,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Sheaves on manifolds},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {292},
NOTE = {With a chapter in French by Christian Houzel,
Corrected reprint of the 1990 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {x+512},
ISBN = {3-540-51861-4},
MRCLASS = {58G07 (18F20 32C38 35A27)},
MRNUMBER = {MR1299726 (95g:58222)},
}
@book {MR2182076,
AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
TITLE = {Categories and sheaves},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {332},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {x+497},
ISBN = {978-3-540-27949-5; 3-540-27949-0},
MRCLASS = {18-02 (14F05 18F20)},
MRNUMBER = {MR2182076 (2006k:18001)},
MRREVIEWER = {Corrado Marastoni},
}
@article {MR0377918,
AUTHOR = {Scharf, Alois},
TITLE = {Zur {F}aserung von {G}raphenmannigfaltigkeiten},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {215},
YEAR = {1975},
PAGES = {35--45},
ISSN = {0025-5831},
MRCLASS = {57D15 (32C40)},
MRNUMBER = {MR0377918 (51 \#14087)},
MRREVIEWER = {Alan H. Durfee},
}
@article {MR0472879,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratische {F}ormen in additiven {K}ategorien},
NOTE = {Colloque sur les Formes Quadratiques (Montpellier, 1975)},
JOURNAL = {Bull. Soc. Math. France Suppl. Mem.},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
NUMBER = {48},
YEAR = {1976},
PAGES = {93--101},
ISSN = {0037-9484},
MRCLASS = {15A63 (18D10 18D35)},
MRNUMBER = {MR0472879 (57 \#12566)},
MRREVIEWER = {Werner Bani},
}
@article {MR543249,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratic and {H}ermitian forms in additive and abelian
categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {59},
YEAR = {1979},
NUMBER = {2},
PAGES = {264--289},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {543249 (82d:18015)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1016/0021-8693(79)90126-1},
URL = {http://dx.doi.org/10.1016/0021-8693(79)90126-1},
}
@article {MR0472879,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratische {F}ormen in additiven {K}ategorien},
NOTE = {Colloque sur les Formes Quadratiques (Montpellier, 1975)},
JOURNAL = {Bull. Soc. Math. France Suppl. Mem.},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
NUMBER = {48},
YEAR = {1976},
PAGES = {93--101},
ISSN = {0037-9484},
MRCLASS = {15A63 (18D10 18D35)},
MRNUMBER = {MR0472879 (57 \#12566)},
MRREVIEWER = {Werner Bani},
}
@article {MR543249,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratic and {H}ermitian forms in additive and abelian
categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {59},
YEAR = {1979},
NUMBER = {2},
PAGES = {264--289},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {543249 (82d:18015)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1016/0021-8693(79)90126-1},
URL = {http://dx.doi.org/10.1016/0021-8693(79)90126-1},
}
@book {MR770063,
AUTHOR = {Scharlau, Winfried},
TITLE = {Quadratic and {H}ermitian forms},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {270},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1985},
PAGES = {x+421},
ISBN = {3-540-13724-6},
MRCLASS = {11Exx (11-02 12D15 15A63 16A16 16A28)},
MRNUMBER = {MR770063 (86k:11022)},
MRREVIEWER = {R. Ware},
}
@article {MR0402760,
AUTHOR = {Scharlemann, Martin G.},
TITLE = {Constructing strange manifolds with the dodecahedral space},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {43},
YEAR = {1976},
NUMBER = {1},
PAGES = {33--40},
ISSN = {0012-7094},
MRCLASS = {57C25 (57C15)},
MRNUMBER = {MR0402760 (53 \#6574)},
MRREVIEWER = {Roger Fenn},
}
@article {MR0410756,
AUTHOR = {Scharlemann, Martin G.},
TITLE = {Transversality theories at dimension four},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {33},
YEAR = {1976},
NUMBER = {1},
PAGES = {1--14},
ISSN = {0020-9910},
MRCLASS = {57A55 (57A15)},
MRNUMBER = {MR0410756 (53 \#14502)},
MRREVIEWER = {R. C. Kirby},
}
@incollection {MR537730,
AUTHOR = {Kirby, Rob and Scharlemann, Martin G.},
TITLE = {Eight faces of the {P}oincar\'e homology {$3$}-sphere},
BOOKTITLE = {Geometric topology ({P}roc. {G}eorgia {T}opology {C}onf.,
{A}thens, {G}a., 1977)},
PAGES = {113--146},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1979},
MRCLASS = {57Q45 (14B05 32B30)},
MRNUMBER = {MR537730 (80k:57042)},
MRREVIEWER = {Anatoly Libgober},
}
@article {MR790119,
AUTHOR = {Scherk, J. and Steenbrink, J. H. M.},
TITLE = {On the mixed {H}odge structure on the cohomology of the
{M}ilnor fibre},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {271},
YEAR = {1985},
NUMBER = {4},
PAGES = {641--665},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {32B30 (14B07 14C30 32G11 58A14)},
MRNUMBER = {790119 (87b:32014)},
MRREVIEWER = {M. Sebastiani},
DOI = {10.1007/BF01456138},
URL = {http://dx.doi.org/10.1007/BF01456138},
}
@article{bartholdi_hodge_2009,
title = {Hodge Theory on Metric Spaces},
url = {http://arxiv.org/abs/0912.0284},
abstract = {Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional {\textbackslash}alpha-scale homology.},
journal = {0912.0284},
author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Smale, S. and Anthony W Baker},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology, Mathematics - Numerical Analysis},
}
@article{dg-ga/9707009,
title = {{L^2-torsion of hyperbolic manifolds of finite volume}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{dg-ga/9707010,
title = {{Torsion and fibrations}},
author = {Wolfgang L{\"u}ck and Thomas Schick and Thomas Thielmann},
}
@article{math.GT/0110328,
title = {{Approximating L^2-signatures by their compact analogues}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{math.GT/0209161,
title = {{Various L2-signatures and a topological L2-signature theorem}},
author = {Wolfgang L{\"u}ck and Thomas Schick},
}
@article{math.GT/9809011,
title = {{Novikov-Shubin invariants for arbitrary group actions and
their positivity}},
author = {Wolfgang L{\"u}ck and Holger Reich and Thomas Schick},
}
@article{math.RA/0202027,
title = {{The Ore condition, affiliated operators, and the lamplighter
group}},
author = {Peter Linnell and Wolfgang L{\"u}ck and Thomas Schick},
howpublished = {Preprint Series SFB Geometrische Strukturen Muenster, no 205},
}
@article {MR1813503,
AUTHOR = {Balmer, Paul and Schlichting, Marco},
TITLE = {Idempotent completion of triangulated categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {236},
YEAR = {2001},
NUMBER = {2},
PAGES = {819--834},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18E30},
MRNUMBER = {MR1813503 (2002a:18013)},
}
@article {MR1930883,
AUTHOR = {Schlichting, Marco},
TITLE = {A note on {$K$}-theory and triangulated categories},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {150},
YEAR = {2002},
NUMBER = {1},
PAGES = {111--116},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {18E30 (18F25 19D10)},
MRNUMBER = {MR1930883 (2003h:18015)},
MRREVIEWER = {Apostolos D. Beligiannis},
}
@article {MR2064753,
AUTHOR = {Hornbostel, Jens and Schlichting, Marco},
TITLE = {Localization in {H}ermitian {$K$}-theory of rings},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {70},
YEAR = {2004},
NUMBER = {1},
PAGES = {77--124},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {19G38 (19G12)},
MRNUMBER = {MR2064753 (2005b:19007)},
MRREVIEWER = {Stefan Gille},
}
@article {MR2079996,
AUTHOR = {Schlichting, Marco},
TITLE = {Delooping the {$K$}-theory of exact categories},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {43},
YEAR = {2004},
NUMBER = {5},
PAGES = {1089--1103},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {18F25 (18E10 55P47)},
MRNUMBER = {MR2079996},
}
@article {MR2114168,
AUTHOR = {Schlichting, Marco},
TITLE = {Hermitian {$K$}-theory on a theorem of {G}iffen},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {32},
YEAR = {2004},
NUMBER = {3},
PAGES = {253--267},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {19D06 (11E70 19G38)},
MRNUMBER = {MR2114168},
}
@article {schlicht,
AUTHOR = {Schlichting, Marco},
TITLE = {Hermitian {$K$}-theory of exact categories},
JOURNAL = {Journal of $K$-Theory},
VOLUME = {5},
YEAR = {2010},
PAGES = {105-165},
}
@article {schlneg,
AUTHOR = {Schlichting, Marco},
TITLE = {Negative K-theory of derived categories},
JOURNAL = {Math. Z.},
}
@article {MR0382272,
AUTHOR = {Schmid, Wilfried},
TITLE = {Variation of {H}odge structure: the singularities of the
period mapping},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {22},
YEAR = {1973},
PAGES = {211--319},
ISSN = {0020-9910},
MRCLASS = {14D05 (14D20 22E15 32J25 32M10)},
MRNUMBER = {0382272 (52 \#3157)},
MRREVIEWER = {Andrew J. Sommese},
}
@article {MR0201451,
AUTHOR = {Schneider, Hans},
TITLE = {Topological aspects of {S}ylvester's theorem on the inertia of
{H}ermitian matrices},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {73},
YEAR = {1966},
PAGES = {817--821},
ISSN = {0002-9890},
MRCLASS = {15.70},
MRNUMBER = {MR0201451 (34 \#1335)},
MRREVIEWER = {G. E. Wall},
}
@article{conant_geometric_2011,
title = {Geometric Filtrations of Classical Link Concordance},
url = {http://arxiv.org/abs/1101.3477},
abstract = {This paper describes grope and Whitney tower filtrations on the set of concordance classes of classical links in terms of class and order respectively. Using the tree-valued intersection theory of Whitney towers, the associated graded quotients are shown to be finitely generated abelian groups under a (surprisingly) well-defined connected sum operation. Twisted Whitney towers are also introduced, along with a corresponding quadratic enhancement of the intersection theory for framed Whitney towers that measures Whitney-disk framing obstructions. The obstruction theory in the framed setting is strengthened, and the relationships between the twisted and framed filtrations are described in terms of exact sequences which show how higher-order {Sato-Levine} and higher-order Arf invariants are obstructions to framing a twisted Whitney tower. The results from this paper combine with those in {{\textbackslash}cite{CST2,CST3,CST4}} to give a classifications of the filtrations; see our survey {{\textbackslash}cite{CST0}} as well as the end of the introduction.},
journal = {1101.3477},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_higher_2010,
title = {Higher Order Intersections in {Low-Dimensional} Topology},
url = {http://arxiv.org/abs/1011.6026},
abstract = {We show how to measure the failure of the Whitney trick in dimension 4 by constructing higher- order intersection invariants of Whitney towers built from iterated Whitney disks on immersed surfaces in 4-manifolds. For Whitney towers on immersed disks in the 4-ball, we identify some of these new invariants with previously known link invariants like Milnor, {Sato-Levine} and Arf invariants. We also define higher- order {Sato-Levine} and Arf invariants and show that these invariants detect the obstructions to framing a twisted Whitney tower. Together with Milnor invariants, these higher-order invariants are shown to classify the existence of (twisted) Whitney towers of increasing order in the 4-ball. A conjecture regarding the non- triviality of the higher-order Arf invariants is formulated, and related implications for filtrations of string links and 3-dimensional homology cylinders are described. This article is an announcement and summary of results to be published in several forthcoming papers.},
journal = {1011.6026},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = nov,
year = {2010},
keywords = {{57M25,} {57M27,} {57Q45,} Mathematics - Geometric Topology},
}
@article{conant_milnor_2011,
title = {Milnor Invariants and Twisted Whitney Towers},
url = {http://arxiv.org/abs/1102.0758},
abstract = {This paper describes the relation between the first non-vanishing Milnor invariants of a link in the 3-sphere and the intersection invariant of a twisted Whitney tower in the 4-ball bounded by the link. In combination with results from three closely related papers[5,6,7], we conclude that for n{\textbackslash}equiv0,1,3 mod 4,the group W\_n of links bounding order n twisted Whitney towers modulo order n+1 twisted Whitney tower concordance is free abelian with rank equal to the number of length n+2 Milnor invariants. We also show that the groups W\_{4k+2} contain at most 2-torsion and give an upper bound on the number of generators of these groups. These upper bounds are sharp if and only if our higher-order Arf invariants Arf\_k are Z\_2-linearly independent. Constructing boundary links realizing the image of Arf\_k for all k leads to two new geometric characterizations of links with vanishing length {\textbackslash}leq 2n Milnor invariants.},
journal = {1102.0758},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = feb,
year = {2011},
keywords = {{57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_universal_2011,
title = {Universal Quadratic Forms and Untwisting Whitney Towers},
url = {http://arxiv.org/abs/1101.3480},
abstract = {The first part of this paper completes the classification of Whitney towers in the 4-ball that was started in three related papers. We provide an algebraic framework allowing the computations of the graded groups associated to geometric filtrations of classical link concordance by order \$n\$ (twisted) Whitney towers in the 4-ball. Higher-order {Sato-Levine} invariants and higher-order Arf invariants are defined and shown to be the obstructions to framing a twisted Whitney tower. In the second part of this paper, a general theory of quadratic forms is developed and then specialized from the non-commutative to the commutative to finally, the symmetric settings. The intersection invariant for twisted Whitney towers is shown to be the universal symmetric refinement of the framed intersection invariant.},
journal = {1101.3480},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{math.GT/0008048,
title = {{Higher order intersection numbers of 2-spheres in
4-manifolds}},
author = {Rob Schneiderman and Peter Teichner},
journal = {Algebraic and Geometric Topology},
volume = 1,
year = 2001,
pages = {1--29},
}
@article{math.GT/0401427,
title = {{Jacobi identities in low-dimensional topology}},
author = {James Conant and Rob Schneiderman and Peter Teichner},
}
@article{schtei,
title = {{Whitney towers and the Kontsevich integral}},
author = {Rob Schneiderman and Peter Teichner},
journal = {Geom. Topol. Monogr.},
volume = 7,
year = 2004,
pages = {101--134},
eprint = {arXiv:math.GT/0401441},
}
@article {MR0431163,
AUTHOR = {Schoen, Rolf},
TITLE = {Fibrations over a {CW}h-base},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {62},
YEAR = {1976},
NUMBER = {1},
PAGES = {165--166 (1977)},
ISSN = {0002-9939},
MRCLASS = {55F05},
MRNUMBER = {0431163 (55 \#4165)},
MRREVIEWER = {David Handel},
}
@article{math.RA/0205034,
author = {Amnon Neeman and Andrew Ranicki and Aidan Schofield},
title = {{Representations of algebras as universal localizations}},
howpublished = {Math. Proc. Camb. Phil. Soc. 136, 105-117 (2004)},
eprint = {http://www.arXiv.org/math.RA/0205034},
}
@incollection {MR1674908,
AUTHOR = {Scholz, Erhard},
TITLE = {The concept of manifold, 1850--1950},
BOOKTITLE = {History of topology},
PAGES = {25--64},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1999},
MRCLASS = {57-03 (01A55 01A60 57Nxx)},
MRNUMBER = {1674908 (2000k:57001)},
MRREVIEWER = {P. T. Church},
DOI = {10.1016/B978-044482375-5/50003-1},
URL = {http://dx.doi.org/10.1016/B978-044482375-5/50003-1},
}
@article {MR0082104,
AUTHOR = {Schubert, Horst},
TITLE = {Knoten mit zwei {B}r\"ucken},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {65},
YEAR = {1956},
PAGES = {133--170},
ISSN = {0025-5874},
MRCLASS = {55.0X},
MRNUMBER = {MR0082104 (18,498e)},
MRREVIEWER = {R. H. Fox},
}
@book {MR0226571,
AUTHOR = {Schubert, Horst},
TITLE = {Topology},
SERIES = {Translated from the German by Siegfried Moran},
PUBLISHER = {Allyn and Bacon Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1968},
PAGES = {358},
MRCLASS = {54.00 (55.00)},
MRNUMBER = {MR0226571 (37 \#2160)},
}
@incollection {MR2454349,
AUTHOR = {Maxim, Laurentiu and Schuermann, Joerg},
TITLE = {Hodge-theoretic {A}tiyah-{M}eyer formulae and the stratified
multiplicative property},
BOOKTITLE = {Singularities {I}},
SERIES = {Contemp. Math.},
VOLUME = {474},
PAGES = {145--166},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2008},
MRCLASS = {32S35 (14D07 32S60 55N33 57R20 57R45)},
MRNUMBER = {MR2454349 (2010e:32029)},
MRREVIEWER = {Shoji Yokura},
}
@article{schuermann_survey_2005,
title = {A survey of characteristic classes of singular spaces},
url = {http://arxiv.org/abs/math/0511175},
abstract = {A theory of characteristic classes of vector bundles and smooth manifolds plays an important role in the theory of smooth manifolds. An investigation of reasonable notions of characteristic classes of singular spaces started since a systematic study of singular spaces such as singular algebraic varieties. We make a quick survey of characteristic classes of singular varieties, mainly focusing on the functorial aspects of some important ones such as the singular versions of the Chern class, the Todd class and the {Thom--Hirzebruch's} L-class. Then we explain our recent "motivic" characteristic classes, which in a sense unify these three different theories of characteristic classes. We also discuss bivariant versions of them and characteristic classes of proalgebraic varieties, which are related to the motivic measures/integrations. Finally we explain some recent work on "stringy" versions of these theories, together with some references for "equivariant" counterparts.},
journal = {math/0511175},
author = {Schuermann, Joerg and Yokura, Shoji},
month = nov,
year = {2005},
keywords = {{14C17,} {19L10,} {32S20,} {55R40,} Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology},
}
@article{dirk1,
AUTHOR = {D. Schuetz},
TITLE = {On the Whitehead group of Novikov rings},
}
@article{dirk2,
AUTHOR = {D. Schuetz},
TITLE = {Finite domination, Novikov homology and nonsingular closed 1-forms},
}
@article{math.DG/0009055,
title = {{Gradient flows of closed 1-forms and their closed orbits}},
author = {D. Schuetz},
journal = {Forum Math.},
volume = 14,
year = 2002,
pages = {509--537},
}
@article{math.DG/0104245,
title = {{One parameter fixed point theory and gradient flows of
closed 1-forms}},
author = {D. Schuetz},
howpublished = {K-Theory 25 (2002) 59-97},
}
@article{math.DG/0203283,
title = {{Controlled connectivity of closed 1-forms}},
author = {D. Schuetz},
journal = {Algebr. Geom. Topol.},
volume = 2,
year = 2002,
pages = {171--217},
}
@article {MR0472879,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratische {F}ormen in additiven {K}ategorien},
NOTE = {Colloque sur les Formes Quadratiques (Montpellier, 1975)},
JOURNAL = {Bull. Soc. Math. France Suppl. Mem.},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
NUMBER = {48},
YEAR = {1976},
PAGES = {93--101},
ISSN = {0037-9484},
MRCLASS = {15A63 (18D10 18D35)},
MRNUMBER = {MR0472879 (57 \#12566)},
MRREVIEWER = {Werner Bani},
}
@article {MR543249,
AUTHOR = {Quebbemann, H. G. and Scharlau, R. and Scharlau, Winfried and
Schulte, M.},
TITLE = {Quadratic and {H}ermitian forms in additive and abelian
categories},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {59},
YEAR = {1979},
NUMBER = {2},
PAGES = {264--289},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {18F25 (10C05)},
MRNUMBER = {543249 (82d:18015)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1016/0021-8693(79)90126-1},
URL = {http://dx.doi.org/10.1016/0021-8693(79)90126-1},
}
@article {MR2475024,
AUTHOR = {Hanke, Bernhard and Sanyal, Raman and Schultz, Carsten and
Ziegler, G{\"u}nter M.},
TITLE = {Combinatorial {S}tokes formulas via minimal resolutions},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {116},
YEAR = {2009},
NUMBER = {2},
PAGES = {404--420},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {05A99},
MRNUMBER = {MR2475024},
DOI = {10.1016/j.jcta.2008.06.009},
URL = {http://dx.doi.org/10.1016/j.jcta.2008.06.009},
}
@article {MR0296956,
AUTHOR = {Schultz, Reinhard},
TITLE = {Some recent results on topological manifolds},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {78},
YEAR = {1971},
PAGES = {941--952},
ISSN = {0002-9890},
MRCLASS = {57-02 (57C25)},
MRNUMBER = {MR0296956 (45 \#6015)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0339232,
AUTHOR = {Becker, J. C. and Schultz, Reinhard},
TITLE = {Equivariant function spaces and stable homotopy theory. {I}},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {49},
YEAR = {1974},
PAGES = {1--34},
ISSN = {0010-2571},
MRCLASS = {57D85 (55E10)},
MRNUMBER = {MR0339232 (49 \#3994)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0415606,
AUTHOR = {Becker, J. C. and Schultz, Reinhard},
TITLE = {Equivariant function spaces and stables homotopy theory. {II}},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {25},
YEAR = {1976},
NUMBER = {5},
PAGES = {481--492},
ISSN = {0022-2518},
MRCLASS = {55D10 (57E15)},
MRNUMBER = {MR0415606 (54 \#3689)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR1016421,
AUTHOR = {Kwasik, Slawomir and Schultz, Reinhard},
TITLE = {Homological properties of periodic homeomorphisms of
{$4$}-manifolds},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {58},
YEAR = {1989},
NUMBER = {1},
PAGES = {241--250},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57S17},
MRNUMBER = {MR1016421 (91d:57023)},
MRREVIEWER = {Laurence R. Taylor},
}
@article{kwasik_tangential_2011,
title = {Tangential thickness of manifolds},
url = {http://arxiv.org/abs/1104.4136},
abstract = {Given two compact n-dimensional manifolds in the smooth, piecewise linear or topological categories, basic results of B. Mazur and others give simple criteria for determining whether their products with Euclidean spaces of sufficiently large dimension are isomorphic in the given category. This paper studies such questions when the dimensions of the Euclidean space do not satisfy such a condition, mainly for topological manifolds homotopy equivalent to lens spaces with odd prime order fundamental groups. In particular, complete information is obtained for homotopy lens spaces in most dimensions when the Euclidean space is even dimensional. The proofs use basic techniques from surgery theory and a variety of results from homotopy theory, including results of Cohen, Moore and Neisendorfer related to finite exponents of certain unstable homotopy groups.},
journal = {1104.4136},
author = {Kwasik, Slawomir and Schultz, Reinhard},
month = apr,
year = {2011},
keywords = {Mathematics - Geometric Topology},
}
@article {MR2366118,
AUTHOR = {Schulz-Baldes, Hermann},
TITLE = {Rotation numbers for {J}acobi matrices with matrix entries},
JOURNAL = {Math. Phys. Electron. J.},
FJOURNAL = {Mathematical Physics Electronic Journal},
VOLUME = {13},
YEAR = {2007},
PAGES = {Paper 5, 40 pp. (electronic)},
ISSN = {1086-6655},
MRCLASS = {81Q10 (15A57 47B36 47B80)},
MRNUMBER = {MR2366118 (2009d:81109)},
MRREVIEWER = {Albert Jeu-Liang Sheu},
}
@book {MR1009162,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {I}},
SERIES = {Wiley Classics Library},
NOTE = {General theory,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1958 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {xiv+858},
ISBN = {0-471-60848-3},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009162 (90g:47001a)},
}
@book {MR1009163,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {II}},
SERIES = {Wiley Classics Library},
NOTE = {Spectral theory. Selfadjoint operators in Hilbert space,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1963 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {i--x, 859--1923 and 1--7},
ISBN = {0-471-60847-5},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009163 (90g:47001b)},
}
@book {MR1009164,
AUTHOR = {Dunford, Nelson and Schwartz, Jacob T.},
TITLE = {Linear operators. {P}art {III}},
SERIES = {Wiley Classics Library},
NOTE = {Spectral operators,
With the assistance of William G. Bade and Robert G. Bartle,
Reprint of the 1971 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {i--xx and 1925--2592},
ISBN = {0-471-60846-7},
MRCLASS = {47-01 (46-01)},
MRNUMBER = {MR1009164 (90g:47001c)},
}
@article {MR1303126,
AUTHOR = {Schw{\"a}nzl, Roland and Staffeldt, Ross E.},
TITLE = {The approximation theorem and the {$K$}-theory of generalized
free products},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {347},
YEAR = {1995},
NUMBER = {9},
PAGES = {3319--3345},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1303126 (95m:19002)},
MRREVIEWER = {Piotr M. Zelewski},
}
@article {MR1912997,
AUTHOR = {Schw{\"a}nzl, Roland and Staffeldt, Ross E.},
TITLE = {The {S}eifert-van {K}ampen theorem and generalized free
products of {$S$}-algebras},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {130},
YEAR = {2002},
NUMBER = {11},
PAGES = {3193--3208 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19D10 (55P43)},
MRNUMBER = {MR1912997 (2003g:19003)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@article {MR0142781,
AUTHOR = {Sch{\"u}tzenberger, M. P.},
TITLE = {On a theorem of {R}. {J}ungen},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {13},
YEAR = {1962},
PAGES = {885--890},
ISSN = {0002-9939},
MRCLASS = {32.10},
MRNUMBER = {MR0142781 (26 \#350)},
MRREVIEWER = {D. Zelinsky},
}
@book {MR2136212,
AUTHOR = {Scorpan, Alexandru},
TITLE = {The wild world of 4-manifolds},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2005},
PAGES = {xx+609},
ISBN = {0-8218-3749-4},
MRCLASS = {57N13 (14J80 32Q55 57-02 57R17 57R57)},
MRNUMBER = {MR2136212 (2006h:57018)},
MRREVIEWER = {Vyacheslav S. Krushkal},
}
@article {MR1800067,
AUTHOR = {Scott, S. G. and Wojciechowski, Krzysztof P.},
TITLE = {The {$\zeta$}-determinant and {Q}uillen determinant for a
{D}irac operator on a manifold with boundary},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
VOLUME = {10},
YEAR = {2000},
NUMBER = {5},
PAGES = {1202--1236},
ISSN = {1016-443X},
CODEN = {GFANFB},
MRCLASS = {58J52 (58J32)},
MRNUMBER = {MR1800067 (2001k:58067)},
MRREVIEWER = {Yuri A. Kordyukov},
DOI = {10.1007/PL00001651},
URL = {http://dx.doi.org/10.1007/PL00001651},
}
@article {MR1275767,
AUTHOR = {Sczech, Robert},
TITLE = {Dedekind sums and signatures of intersection forms},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {299},
YEAR = {1994},
NUMBER = {2},
PAGES = {269--274},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {11F20 (57M25 57N12 57N13)},
MRNUMBER = {MR1275767 (95h:11043)},
MRREVIEWER = {Terry Lawson},
}
@article {MR524003,
AUTHOR = {Meyer, Werner and Sczech, Robert},
TITLE = {\"{U}ber eine topologische und zahlentheoretische {A}nwendung
von {H}irzebruchs {S}pitzenaufl\"osung},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {240},
YEAR = {1979},
NUMBER = {1},
PAGES = {69--96},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {10D21 (12A50)},
MRNUMBER = {MR524003 (82c:10035)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR2123256,
AUTHOR = {Pichon, Anne and Seade, Jos{\'e}},
TITLE = {Real singularities and open-book decompositions of the
3-sphere},
JOURNAL = {Ann. Fac. Sci. Toulouse Math. (6)},
FJOURNAL = {Annales de la Facult\'e des Sciences de Toulouse.
Math\'ematiques. S\'erie 6},
VOLUME = {12},
YEAR = {2003},
NUMBER = {2},
PAGES = {245--265},
ISSN = {0240-2963},
MRCLASS = {57N10 (32S55 57M25)},
MRNUMBER = {MR2123256 (2005m:57031)},
MRREVIEWER = {Mark R. Woodard},
}
@book {MR2186327,
AUTHOR = {Seade, Jos{\'e}},
TITLE = {On the topology of isolated singularities in analytic spaces},
SERIES = {Progress in Mathematics},
VOLUME = {241},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2006},
PAGES = {xiv+238},
ISBN = {978-3-7643-7322-1; 3-7643-7322-9},
MRCLASS = {32S25 (14B05 57R45)},
MRNUMBER = {MR2186327 (2007a:32031)},
MRREVIEWER = {Jan Stevens},
}
@article {MR0232393,
AUTHOR = {Segal, Graeme},
TITLE = {Classifying spaces and spectral sequences},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {34},
YEAR = {1968},
PAGES = {105--112},
ISSN = {0073-8301},
MRCLASS = {55.52},
MRNUMBER = {0232393 (38 \#718)},
MRREVIEWER = {A. K. Bousfield},
}
@article {MR0236951,
AUTHOR = {Atiyah, M. F. and Segal, Graeme},
TITLE = {The index of elliptic operators. {II}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {531--545},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236951 (38 \#5244)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0259946,
AUTHOR = {Atiyah, M. F. and Segal, Graeme},
TITLE = {Equivariant {$K$}-theory and completion},
JOURNAL = {J. Differential Geometry},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {3},
YEAR = {1969},
PAGES = {1--18},
ISSN = {0022-040X},
MRCLASS = {57.40 (18.00)},
MRNUMBER = {0259946 (41 \#4575)},
MRREVIEWER = {S. Y. Husseini},
}
@article {MR0331377,
AUTHOR = {Segal, Graeme},
TITLE = {Configuration-spaces and iterated loop-spaces},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {21},
YEAR = {1973},
PAGES = {213--221},
ISSN = {0020-9910},
MRCLASS = {55D35},
MRNUMBER = {MR0331377 (48 \#9710)},
MRREVIEWER = {J. P. May},
}
@article {MR0353298,
AUTHOR = {Segal, Graeme},
TITLE = {Categories and cohomology theories},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {13},
YEAR = {1974},
PAGES = {293--312},
ISSN = {0040-9383},
MRCLASS = {55B20},
MRNUMBER = {MR0353298 (50 \#5782)},
MRREVIEWER = {J. P. May},
}
@article {MR0402733,
AUTHOR = {McDuff, Dusa and Segal, Graeme},
TITLE = {Homology fibrations and the ``group-completion'' theorem},
JOURNAL = {Invent. Math.},
VOLUME = {31},
YEAR = {1975/76},
NUMBER = {3},
PAGES = {279--284},
MRCLASS = {55D45},
MRNUMBER = {MR0402733 (53 \#6547)},
MRREVIEWER = {Harold Hastings},
}
@incollection {MR0423340,
AUTHOR = {Segal, Graeme},
TITLE = {Equivariant stable homotopy theory},
BOOKTITLE = {Actes du Congr\`es International des Math\'ematiciens (Nice,
1970), Tome 2},
PAGES = {59--63},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1971},
MRCLASS = {55D40 (55E10 57E15 57D85)},
MRNUMBER = {MR0423340 (54 \#11319)},
MRREVIEWER = {Henning Hauschild},
}
@article {letters,
AUTHOR = {Segal, Graeme},
TITLE={Letters},
}
@article {surfaces,
AUTHOR = {Segal, Graeme},
TITLE = {Geometry of surfaces},
YEAR = {1986},
}
@book {MR1991149,
AUTHOR = {Segal, Sanford L.},
TITLE = {Mathematicians under the {N}azis},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2003},
PAGES = {xxiv+530},
ISBN = {0-691-00451-X},
MRCLASS = {01A60 (01A80)},
MRNUMBER = {1991149 (2004c:01024)},
MRREVIEWER = {John H. Ewing},
}
@article {MR2385665,
AUTHOR = {Fukaya, Kenji and Seidel, Paul and Smith, Ivan},
TITLE = {Exact {L}agrangian submanifolds in simply-connected cotangent
bundles},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {172},
YEAR = {2008},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {53D12 (53D40)},
MRNUMBER = {MR2385665 (2009a:53142)},
MRREVIEWER = {Michael J. Usher},
DOI = {10.1007/s00222-007-0092-8},
URL = {http://dx.doi.org/10.1007/s00222-007-0092-8},
}
@article{0008.18101,
author="Seifert, H.",
title="{Verschlingungsinvarianten.}",
language="German",
year="1933",
}
@article{61.0609.03,
author="Seifert, H.",
title="{Die Verschlingungsinvarianten der zyklischen Knoten\"uberlagerungen.}",
language="German",
journal="Abhandl. Hamburg ",
volume="11",
pages="84-101",
year="1935",
}
@article {MR0033514,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Old and new results on knots},
JOURNAL = {Canadian J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {2},
YEAR = {1950},
PAGES = {1--15},
ISSN = {0008-414X},
MRCLASS = {56.0X},
MRNUMBER = {MR0033514 (11,450c)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0035436,
AUTHOR = {Seifert, H.},
TITLE = {On the homology invariants of knots},
JOURNAL = {Quart. J. Math., Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {1},
YEAR = {1950},
PAGES = {23--32},
ISSN = {0033-5606},
MRCLASS = {56.0X},
MRNUMBER = {MR0035436 (11,735b)},
MRREVIEWER = {R. H. Fox},
}
@article {MR1555366,
AUTHOR = {Seifert, H.},
TITLE = {Topologie {D}reidimensionaler {G}efaserter {R}\"aume},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {60},
YEAR = {1933},
NUMBER = {1},
PAGES = {147--238},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1555366},
}
@book {MR575168,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Seifert and {T}hrelfall: a textbook of topology},
SERIES = {Pure and Applied Mathematics},
VOLUME = {89},
NOTE = {Translated from the German edition of 1934 by Michael A.
Goldman,
With a preface by Joan S. Birman,
With ``Topology of $3$-dimensional fibered spaces'' by Seifert,
Translated from the German by Wolfgang Heil},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1980},
PAGES = {xvi+437},
ISBN = {0-12-634850-2},
MRCLASS = {55-02 (57N12)},
MRNUMBER = {MR575168 (82b:55001)},
MRREVIEWER = {Ross Geoghegan},
}
@book {MR575168org,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Lehrbuch der Topologie},
PUBLISHER = {Teubner},
ADDRESS = {Leipzig},
YEAR = {1934},
}
@article{Seifert1,
AUTHOR = {Seifert, H.},
TITLE = {Ueber das Geschlecht von Knoten},
JOURNAL = {Math. Ann.},
VOLUME = {110},
YEAR ={1935},
PAGES = {571--592},
}
@article{seifert_algebraische_1936,
title = {Algebraische Approximation von Mannigfaltigkeiten},
volume = {41},
url = {http://dx.doi.org/10.1007/BF01180402},
doi = {10.1007/BF01180402},
number = {1},
journal = {Mathematische Zeitschrift},
author = {H. Seifert},
month = dec,
year = {1936},
pages = {1--17},
}
@book {MR1913879,
AUTHOR = {Mumford, David and Series, Caroline and Wright, David},
TITLE = {Indra's pearls},
NOTE = {The vision of Felix Klein},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York},
YEAR = {2002},
PAGES = {xx+396},
ISBN = {0-521-35253-3},
MRCLASS = {00A05 (20H10 28A80 30F40 37F30 52C26 68R15)},
MRNUMBER = {1913879 (2003f:00005)},
MRREVIEWER = {Vasily A. Chernecky},
}
@misc{0235.22020,
author="Serre, Jean-Pierre",
title="{Cohomologie des groupes discrets. (Cohomology of discrete groups).}",
language="French",
howpublished="{Prospects Math., Ann. Math. Stud. 70, 77-169 (1971).}",
year="1971",
}
@misc{0273.57022,
author="Serre, Jean-Pierre",
title="{Cohomologie des groupes discrets.}",
language="French",
howpublished="{Sem. Bourbaki 1970/71, Lect. Notes Math. 244, 337-350 (1971).}",
year="1971",
}
@article {MR0045386,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Homologie singuli\`ere des espaces fibr\'es. {A}pplications},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {54},
YEAR = {1951},
PAGES = {425--505},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0045386 (13,574g)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0058213,
AUTHOR = {Borel, A. and Serre, Jean-Pierre},
TITLE = {Groupes de {L}ie et puissances r\'eduites de {S}teenrod},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {75},
YEAR = {1953},
PAGES = {409--448},
ISSN = {0002-9327},
MRCLASS = {56.0X},
MRNUMBER = {0058213 (15,338b)},
MRREVIEWER = {H. Samelson},
}
@article {MR0059548,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Groupes d'homotopie et classes de groupes ab\'eliens},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {58},
YEAR = {1953},
PAGES = {258--294},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0059548 (15,548c)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0087943,
AUTHOR = {Chern, S. S. and Hirzebruch, F. and Serre, Jean-Pierre},
TITLE = {On the index of a fibered manifold},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {8},
YEAR = {1957},
PAGES = {587--596},
MRCLASS = {55.0X},
MRNUMBER = {MR0087943 (19,441c)},
MRREVIEWER = {M. F. Atiyah},
}
@incollection {MR0160229,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Formes bilin\'eaires sym\'etriques enti\`eres \`a discriminant
{$\pm 1$}},
BOOKTITLE = {S\'eminaire {H}enri {C}artan, 1961/62, {E}xp. 14-15},
PAGES = {16},
PUBLISHER = {Secr\'etariat math\'ematique},
ADDRESS = {Paris},
YEAR = {1961/1962},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0160229 (28 \#3443)},
}
@book {MR0344216,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {A course in arithmetic},
NOTE = {Translated from the French,
Graduate Texts in Mathematics, No. 7},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1973},
PAGES = {viii+115},
MRCLASS = {12-02 (10CXX 10DXX)},
MRNUMBER = {MR0344216 (49 \#8956)},
}
@incollection {MR0422504,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Cohomologie des groupes discrets},
BOOKTITLE = {S\'eminaire {B}ourbaki, 23\`eme ann\'ee (1970/1971), {E}xp.
{N}o. 399},
PAGES = {337--350. Lecture Notes in Math., Vol. 244},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {22E40},
MRNUMBER = {MR0422504 (54 \#10491)},
MRREVIEWER = {Kenneth S. Brown},
}
@book {MR1954121,
AUTHOR = {Serre, Jean-Pierre},
TITLE = {Trees},
SERIES = {Springer Monographs in Mathematics},
NOTE = {Translated from the French original by John Stillwell,
Corrected 2nd printing of the 1980 English translation},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {x+142},
ISBN = {3-540-44237-5},
MRCLASS = {20E08 (05C05 20E06 20G25)},
MRNUMBER = {MR1954121 (2003m:20032)},
}
@book {MR0195803,
AUTHOR = {Borevich, A. I. and Shafarevich, I. R.},
TITLE = {Number theory},
SERIES = {Translated from the Russian by Newcomb Greenleaf. Pure and
Applied Mathematics, Vol. 20},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1966},
PAGES = {x+435},
MRCLASS = {10.00},
MRNUMBER = {MR0195803 (33 \#4001)},
}
@book {MR487910,
AUTHOR = {Shanahan, Patrick},
TITLE = {The {A}tiyah-{S}inger index theorem},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {638},
NOTE = {An introduction},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {v+224},
ISBN = {3-540-08660-9},
MRCLASS = {58G10},
MRNUMBER = {MR487910 (81m:58073)},
MRREVIEWER = {R. E. Stong},
}
@article {MR0246310,
AUTHOR = {Shaneson, Julius L.},
TITLE = {Wall's surgery obstruction groups for {$G\times Z$}},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {90},
YEAR = {1969},
PAGES = {296--334},
MRCLASS = {57.10},
MRNUMBER = {MR0246310 (39 \#7614)},
MRREVIEWER = {R. Schultz},
}
@article {MR0270378,
AUTHOR = {Hsiang, Wu-Chung and Shaneson, Julius L.},
TITLE = {Fake tori, the annulus conjecture, and the conjectures of
{K}irby},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {62},
YEAR = {1969},
PAGES = {687--691},
MRCLASS = {57.01},
MRNUMBER = {MR0270378 (42 \#5267)},
MRREVIEWER = {B. G. Casler},
}
@article {MR0275444,
AUTHOR = {Shaneson, Julius L.},
TITLE = {Non-simply-connected surgery and some results in low
dimensional topology},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {45},
YEAR = {1970},
PAGES = {333--352},
ISSN = {0010-2571},
MRCLASS = {57.01},
MRNUMBER = {MR0275444 (43 \#1200)},
MRREVIEWER = {R. Schultz},
}
@incollection {MR0281211,
AUTHOR = {Hsiang, Wu-Chung and Shaneson, Julius L.},
TITLE = {Fake tori},
BOOKTITLE = {Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens,
Ga., 1969)},
PAGES = {18--51},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.01},
MRNUMBER = {MR0281211 (43 \#6930)},
MRREVIEWER = {B. G. Casler},
}
@article {MR0301750,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {On four dimensional surgery and applications},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {46},
YEAR = {1971},
PAGES = {500--528},
ISSN = {0010-2571},
MRCLASS = {57D65},
MRNUMBER = {MR0301750 (46 \#905)},
MRREVIEWER = {J. Milnor},
}
@article {MR0339216,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {The codimension two placement problem and homology equivalent
manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {99},
YEAR = {1974},
PAGES = {277--348},
ISSN = {0003-486X},
MRCLASS = {57D40},
MRNUMBER = {MR0339216 (49 \#3978)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR0380815,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Branched cyclic coverings},
BOOKTITLE = {Knots, groups and $3$-manifolds (Papers dedicated to the
memory of R. H. Fox)},
PAGES = {165--173. Ann. of Math. Studies, No. 84},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1975},
MRCLASS = {57C40},
MRNUMBER = {MR0380815 (52 \#1712)},
MRREVIEWER = {Wilbur Whitten},
}
@incollection {MR0400245,
AUTHOR = {Shaneson, Julius L.},
TITLE = {Spines and spinelessness},
BOOKTITLE = {Geometric topology ({P}roc. {C}onf., {P}ark {C}ity, {U}tah,
1974)},
PAGES = {431--440. Lecture Notes in Math., Vol. 438},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {57C35},
MRNUMBER = {0400245 (53 \#4080)},
MRREVIEWER = {Roger Fenn},
}
@article {MR0442946,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Totally spineless manifolds},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {21},
YEAR = {1977},
NUMBER = {2},
PAGES = {231--239},
ISSN = {0019-2082},
MRCLASS = {57C25 (57D65)},
MRNUMBER = {0442946 (56 \#1321)},
MRREVIEWER = {L. S. Husch},
}
@article {MR1102578,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Stratifiable maps and topological invariants},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {4},
YEAR = {1991},
NUMBER = {3},
PAGES = {521--551},
ISSN = {0894-0347},
MRCLASS = {57R45 (55P10 57N80)},
MRNUMBER = {1102578 (92d:57024)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2307/2939268},
URL = {http://dx.doi.org/10.2307/2939268},
}
@article {MR1127478,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Singular spaces, characteristic classes, and intersection
homology},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {134},
YEAR = {1991},
NUMBER = {2},
PAGES = {325--374},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57N80 (14B05 55N33)},
MRNUMBER = {MR1127478 (92m:57026)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1992279,
AUTHOR = {Banagl, Markus and Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Computing twisted signatures and {$L$}-classes of stratified
spaces},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {326},
YEAR = {2003},
NUMBER = {3},
PAGES = {589--623},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {32S60 (55N25 55N33 57R20 57R45)},
MRNUMBER = {MR1992279 (2004i:32047)},
MRREVIEWER = {Burt Totaro},
}
@article {MR2372895,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera and characteristic classes of complex algebraic
varieties},
JOURNAL = {Electron. Res. Announc. Math. Sci.},
FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
VOLUME = {15},
YEAR = {2008},
PAGES = {1--7},
ISSN = {1935-9179},
MRCLASS = {32S35 (14D07 32S60 55N33)},
MRNUMBER = {MR2372895 (2009c:32055)},
MRREVIEWER = {Markus Banagl},
}
@article {MR2376848,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson,
Julius L.},
TITLE = {Hodge genera of algebraic varieties. {I}},
JOURNAL = {Comm. Pure Appl. Math.},
FJOURNAL = {Communications on Pure and Applied Mathematics},
VOLUME = {61},
YEAR = {2008},
NUMBER = {3},
PAGES = {422--449},
ISSN = {0010-3640},
CODEN = {CPAMA},
MRCLASS = {14F43 (14C35 14F05 19E20)},
MRNUMBER = {MR2376848 (2009f:14039)},
MRREVIEWER = {Jyh-Haur Teh},
DOI = {10.1002/cpa.20202},
URL = {http://dx.doi.org/10.1002/cpa.20202},
}
@article {MR2507108,
AUTHOR = {Cappell, Sylvain E. and Maxim, Laurentiu and Shaneson, Julius
L.},
TITLE = {Equivariant genera of complex algebraic varieties},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2009},
NUMBER = {11},
PAGES = {2013--2037},
ISSN = {1073-7928},
MRCLASS = {32J25 (14D07 14F43 14L30 32S60)},
MRNUMBER = {MR2507108 (2010e:32016)},
MRREVIEWER = {Markus Banagl},
@article {MR543555,
AUTHOR = {Durfee, Alan},
TITLE = {Fifteen characterizations of rational double points and simple
critical points},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {25},
YEAR = {1979},
NUMBER = {1-2},
PAGES = {131--163},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {14B05 (32B30 32C40 57Q45 58C27)},
MRNUMBER = {MR543555 (80m:14003)},
MRREVIEWER = {P. Orlik},
}
@article {MR2545873,
AUTHOR = {Cappell, Sylvain E. and Libgober, Anatoly and Maxim, Laurentiu
and Shaneson, Julius L.},
TITLE = {Hodge genera of algebraic varieties. {II}},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {345},
YEAR = {2009},
NUMBER = {4},
PAGES = {925--972},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {14C30 (58Jxx)},
MRNUMBER = {MR2545873},
DOI = {10.1007/s00208-009-0389-6},
URL = {http://dx.doi.org/10.1007/s00208-009-0389-6},
}
@article {MR569244,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Link cobordism},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {1},
PAGES = {20--49},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57Q45},
MRNUMBER = {MR569244 (81j:57011)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR780578,
AUTHOR = {Cappell, Sylvain E. and Shaneson, Julius L.},
TITLE = {Linking numbers in branched covers},
BOOKTITLE = {Four-manifold theory ({D}urham, {N}.{H}., 1982)},
SERIES = {Contemp. Math.},
VOLUME = {35},
PAGES = {165--179},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1984},
MRCLASS = {57M25 (57M12)},
MRNUMBER = {MR780578 (87a:57008)},
MRREVIEWER = {G. Burde},
}
@article {MR0252439,
AUTHOR = {Shannon, Richard T.},
TITLE = {The rank of a flat module},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {24},
YEAR = {1970},
PAGES = {452--456},
ISSN = {0002-9939},
MRCLASS = {16.40 (18.00)},
MRNUMBER = {MR0252439 (40 \#5659)},
MRREVIEWER = {Brian Mueller},
}
@article {MR0031487,
AUTHOR = {Shapiro, Arnold},
TITLE = {Group extensions of compact {L}ie groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {50},
YEAR = {1949},
PAGES = {581--586},
ISSN = {0003-486X},
MRCLASS = {20.0X},
MRNUMBER = {0031487 (11,157i)},
MRREVIEWER = {P. A. Smith},
@article {MR699007,
AUTHOR = {Milnor, John W.},
TITLE = {On the homology of {L}ie groups made discrete},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {72--85},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57T10 (22E40 22E41 55R40 57R30)},
MRNUMBER = {699007 (85b:57050)},
MRREVIEWER = {Eric M. Friedlander},
DOI = {10.1007/BF02564625},
URL = {http://dx.doi.org/10.1007/BF02564625},
}
@article {MR0089410,
AUTHOR = {Shapiro, Arnold},
TITLE = {Obstructions to the imbedding of a complex in a euclidean
space. {I}. {T}he first obstruction},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {66},
YEAR = {1957},
PAGES = {256--269},
ISSN = {0003-486X},
MRCLASS = {55.0X},
MRNUMBER = {MR0089410 (19,671a)},
MRREVIEWER = {S. T. Hu},
}
@article {MR0167985,
AUTHOR = {Atiyah, M. F. and Bott, Raoul and Shapiro, Arnold},
TITLE = {Clifford modules},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1964},
NUMBER = {suppl. 1},
PAGES = {3--38},
ISSN = {0040-9383},
MRCLASS = {57.30 (55.30)},
MRNUMBER = {0167985 (29 \#5250)},
MRREVIEWER = {J. F. Adams},
}
@article{math.AT/0110249,
title = {{Invariants of Boundary Link Cobordism}},
author = {Desmond Sheiham},
howpublished = {Memoirs of the American Mathematical Society, Vol 165 (2003) ISBN: 0-8218-3340-5},
}
@article{math.AT/0404229,
title = {{Invariants of Boundary Link Cobordism II. The
Blanchfield-Duval Form}},
author = {Desmond Sheiham},
}
@article{math.KT/0209311,
title = {{Whitehead Groups of Localizations and the Endomorphism Class
Group}},
author = {Desmond Sheiham},
howpublished = {Journal of Algebra, Vol 270 (2003) Issue 1, 261-280},
}
@article{math.RA/0104158,
title = {{Non-commutative Characteristic Polynomials and Cohn
Localization}},
author = {Desmond Sheiham},
howpublished = {Journal of the London Mathematical Society (2) Vol 64 (2001) no.1 pp13-28},
}
@article{math.RA/0407497,
title = {{Universal localization of triangular matrix rings}},
author = {Desmond Sheiham},
}
@book {MR1886666,
TITLE = {Handbook of geometric topology},
AUTHOR = {Daverman, R. J. and Sher, R. B.},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2002},
PAGES = {x+1133},
ISBN = {0-444-82432-4},
MRCLASS = {57-06 (55-06)},
MRNUMBER = {MR1886666 (2002k:57002)},
}
@article {MR672939,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {I}. {N}ormal forms},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {10},
YEAR = {1982},
NUMBER = {1},
PAGES = {75--125},
ISSN = {0385-633X},
MRCLASS = {57R40 (57R70)},
MRNUMBER = {672939 (84d:57017)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR742906,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {II}. {S}ingularities
and cross-sectional links},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {1},
PAGES = {31--69},
ISSN = {0385-633X},
MRCLASS = {57Q45 (57M99 57R70)},
MRNUMBER = {742906 (85j:57033)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0096223,
AUTHOR = {Shimada, Nobuo},
TITLE = {Differentiable structures on the 15-sphere and {P}ontrjagin
classes of certain manifolds},
JOURNAL = {Nagoya Math. J.},
FJOURNAL = {Nagoya Mathematical Journal},
VOLUME = {12},
YEAR = {1957},
PAGES = {59--69},
ISSN = {0027-7630},
MRCLASS = {55.00},
MRNUMBER = {MR0096223 (20 \#2715)},
MRREVIEWER = {I. M. James},
}
@article {MR0275415,
AUTHOR = {Shinohara, Yaichi},
TITLE = {On the signature of knots and links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {156},
YEAR = {1971},
PAGES = {273--285},
ISSN = {0002-9947},
MRCLASS = {55.20},
MRNUMBER = {MR0275415 (43 \#1172)},
MRREVIEWER = {H. E. Debrunner},
}
@article {MR2085176,
AUTHOR = {Dugger, Daniel and Shipley, Brooke},
TITLE = {{$K$}-theory and derived equivalences},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {124},
YEAR = {2004},
NUMBER = {3},
PAGES = {587--617},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {19D99 (18E30 55U35)},
MRNUMBER = {MR2085176 (2005e:19005)},
MRREVIEWER = {Daniel C. Isaksen},
}
@book {MR2290112,
AUTHOR = {Greuel, G.-M. and Lossen, C. and Shustin, E.},
TITLE = {Introduction to singularities and deformations},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2007},
PAGES = {xii+471},
ISBN = {978-3-540-28380-5; 3-540-28380-3},
MRCLASS = {32Sxx (14B05)},
MRNUMBER = {MR2290112 (2008b:32013)},
MRREVIEWER = {Vasile Br{\^{\i}}nz{\u{a}}nescu},
}
@article {MR0287542,
AUTHOR = {Siebenmann, L.},
TITLE = {Infinite simple homotopy types},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 73 = Indag. Math.},
VOLUME = {32},
YEAR = {1970},
PAGES = {479--495},
MRCLASS = {55.40},
MRNUMBER = {0287542 (44 \#4746)},
MRREVIEWER = {A. J. Sieradski},
}
@incollection {MR585660,
AUTHOR = {Siebenmann, L.},
TITLE = {On vanishing of the {R}ohlin invariant and nonfinitely
amphicheiral homology {$3$}-spheres},
BOOKTITLE = {Topology {S}ymposium, {S}iegen 1979 ({P}roc. {S}ympos.,
{U}niv. {S}iegen, {S}iegen, 1979)},
SERIES = {Lecture Notes in Math.},
VOLUME = {788},
PAGES = {172--222},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1980},
MRCLASS = {57N10},
MRNUMBER = {585660 (81k:57011)},
MRREVIEWER = {G. Peter Scott},
}
@article {MR0227983,
AUTHOR = {Siebenmann, L. C.},
TITLE = {On the homotopy type of compact topological manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {74},
YEAR = {1968},
PAGES = {738--742},
MRCLASS = {55.40 (57.00)},
MRNUMBER = {MR0227983 (37 \#3567)},
MRREVIEWER = {H. Noguchi},
}
@article {MR0238325,
AUTHOR = {Siebenmann, L. C.},
TITLE = {On detecting {E}uclidean space homotopically among topological
manifolds. },
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {6},
YEAR = {1968},
PAGES = {245--261},
ISSN = {0020-9910},
MRCLASS = {55.60 (54.00)},
MRNUMBER = {MR0238325 (38 \#6601)},
MRREVIEWER = {H. Noguchi},
}
@article {MR0242166,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {On the triangulation of manifolds and the {H}auptvermutung},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {75},
YEAR = {1969},
PAGES = {742--749},
MRCLASS = {57.01},
MRNUMBER = {MR0242166 (39 \#3500)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0246301,
AUTHOR = {Siebenmann, L. C.},
TITLE = {On detecting open collars},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {142},
YEAR = {1969},
PAGES = {201--227},
ISSN = {0002-9947},
MRCLASS = {57.01 (54.00)},
MRNUMBER = {MR0246301 (39 \#7605)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR0271955,
AUTHOR = {Siebenmann, L. C.},
TITLE = {Disruption of low-dimensional handlebody theory by {R}ohlin's
theorem. },
BOOKTITLE = {Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens,
Ga., 1969)},
PAGES = {57--76},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.01},
MRNUMBER = {MR0271955 (42 \#6836)},
MRREVIEWER = {A. H. Wallace},
}
@incollection {MR0271956,
AUTHOR = {Siebenmann, L. C.},
TITLE = {Are nontriangulable manifolds triangulable?},
BOOKTITLE = {Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens,
Ga., 1969)},
PAGES = {77--84},
PUBLISHER = {Markham, Chicago, Ill.},
YEAR = {1970},
MRCLASS = {57.01},
MRNUMBER = {MR0271956 (42 \#6837)},
MRREVIEWER = {A. H. Wallace},
}
@incollection {MR0283807,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Some theorems on topological manifolds},
BOOKTITLE = {Manifolds--Amsterdam 1970 (Proc. Nuffic Summer School)},
SERIES = {Lecture Notes in Mathematics, Vol. 197},
PAGES = {1--7},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57.01},
MRNUMBER = {MR0283807 (44 \#1037)},
MRREVIEWER = {C. B. Thomas},
}
@article {MR0287564,
AUTHOR = {Siebenmann, L. C.},
TITLE = {A total {W}hitehead torsion obstruction to fibering over the
circle},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {45},
YEAR = {1970},
PAGES = {1--48},
MRCLASS = {57.31},
MRNUMBER = {MR0287564 (44 \#4768)},
MRREVIEWER = {R. W. Sharpe},
}
@article {MR0295365,
AUTHOR = {Siebenmann, L. C.},
TITLE = {Approximating cellular maps by homeomorphisms},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {11},
YEAR = {1972},
PAGES = {271--294},
ISSN = {0040-9383},
MRCLASS = {57A60},
MRNUMBER = {MR0295365 (45 \#4431)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0319207,
AUTHOR = {Siebenmann, L. C.},
TITLE = {Deformation of homeomorphisms on stratified sets. {I}, {II}},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {123--136; ibid. 47 (1972), 137--163},
ISSN = {0010-2571},
MRCLASS = {57A35 (57D30)},
MRNUMBER = {0319207 (47 \#7752)},
MRREVIEWER = {R. C. Kirby},
}
@incollection {MR0400237,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Normal bundles for codimension {$2$} locally flat imbeddings},
BOOKTITLE = {Geometric topology ({P}roc. {C}onf., {P}ark {C}ity, {U}tah,
1974)},
PAGES = {310--324. Lecture Notes in Math., Vol. 438},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {57A35},
MRNUMBER = {0400237 (53 \#4072)},
MRREVIEWER = {T. B. Rushing},
}
@book {MR0645390,
AUTHOR = {Kirby, Rob and Siebenmann, L. C.},
TITLE = {Foundational essays on topological manifolds, smoothings, and
triangulations},
NOTE = {With notes by John Milnor and Michael Atiyah,
Annals of Mathematics Studies, No. 88},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1977},
PAGES = {vii+355},
MRCLASS = {57-02 (57AXX)},
MRNUMBER = {MR0645390 (58 \#31082)},
MRREVIEWER = {Ronald J. Stern},
}
@article {MR489573,
AUTHOR = {Matumoto, Takao and Siebenmann, L. C.},
TITLE = {The topological {$s$}-cobordism theorem fails in dimension
{$4$} or {$5$}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {84},
YEAR = {1978},
NUMBER = {1},
PAGES = {85--87},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57N75},
MRNUMBER = {MR489573 (80b:57012)},
MRREVIEWER = {J. W. Vick},
DOI = {10.1017/S0305004100054918},
URL = {http://dx.doi.org/10.1017/S0305004100054918},
}
@articl{ls,
AUTHOR = {Siebenmann, L. C.},
TITLE = {Kirby and the promised land},
}
@book {MR1008930,
AUTHOR = {Siegel, C. L.},
TITLE = {Topics in complex function theory. {V}ol.\ {I}},
SERIES = {Wiley Classics Library},
NOTE = {Elliptic functions and uniformization theory,
Translated from the German by A. Shenitzer and D. Solitar,
With a preface by Wilhelm Magnus,
Reprint of the 1969 edition,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {xii+186},
ISBN = {0-471-60844-0},
MRCLASS = {30-02 (11F03 32-02)},
MRNUMBER = {MR1008930 (90h:30002)},
}
@book {MR1008931,
AUTHOR = {Siegel, C. L.},
TITLE = {Topics in complex function theory. {V}ol.\ {II}},
SERIES = {Wiley Classics Library},
NOTE = {Automorphic functions and abelian integrals,
Translated from the German by A. Shenitzer and M. Tretkoff,
With a preface by Wilhelm Magnus,
Reprint of the 1971 edition,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {xii+193},
ISBN = {0-471-60843-2},
MRCLASS = {30-02 (11F03 32-02)},
MRNUMBER = {MR1008931 (90h:30003)},
}
@book {MR1013364,
AUTHOR = {Siegel, C. L.},
TITLE = {Topics in complex function theory. {V}ol. {III}},
SERIES = {Wiley Classics Library},
NOTE = {Abelian functions and modular functions of several variables,
Translated from the German by E. Gottschling and M. Tretkoff,
With a preface by Wilhelm Magnus,
Reprint of the 1973 original,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1989},
PAGES = {x+244},
ISBN = {0-471-50401-7},
MRCLASS = {11F46 (14K25 14K30 32N10)},
MRNUMBER = {MR1013364 (90m:11074)},
MRREVIEWER = {Rolf Berndt},
}
@article {MR699009,
AUTHOR = {Goresky, Mark and Siegel, Paul},
TITLE = {Linking pairings on singular spaces},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {58},
YEAR = {1983},
NUMBER = {1},
PAGES = {96--110},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {55N45 (32C37 58A35)},
MRNUMBER = {MR699009 (84h:55004)},
MRREVIEWER = {J. W. Vick},
}
@article {MR714770,
AUTHOR = {Siegel, Paul},
TITLE = {Witt spaces: a geometric cycle theory for {$K{\rm
O}$}-homology at odd primes},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {105},
YEAR = {1983},
NUMBER = {5},
PAGES = {1067--1105},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {57Q20 (55N15)},
MRNUMBER = {MR714770 (85f:57011)},
MRREVIEWER = {V. P. Snaith},
}
@book {MR2522825,
AUTHOR = {Siegmund-Schultze, Reinhard},
TITLE = {Mathematicians fleeing from {N}azi {G}ermany},
NOTE = {Individual fates and global impact},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {2009},
PAGES = {xxviii+471},
ISBN = {978-0-691-14041-4},
MRCLASS = {01A60},
MRNUMBER = {2522825 (2010f:01009)},
MRREVIEWER = {Martina R. Schneider},
}
@article {MR2735900,
AUTHOR = {Siegmund-Schultze, Reinhard},
TITLE = {On a missed opportunity for collaboration between historians
and mathematicians: a biographical avalanche triggered by
{P}rofessor {I}oan {J}ames, {FRS}},
JOURNAL = {Historia Math.},
FJOURNAL = {Historia Mathematica},
VOLUME = {37},
YEAR = {2010},
NUMBER = {4},
PAGES = {693--707},
ISSN = {0315-0860},
CODEN = {HIMADS},
MRCLASS = {00A17 (01A70)},
MRNUMBER = {2735900},
DOI = {10.1016/j.hm.2010.03.001},
URL = {http://dx.doi.org/10.1016/j.hm.2010.03.001},
}
@article {MR1113689,
AUTHOR = {Siersma, Dirk},
TITLE = {Variation mappings on singularities with a {$1$}-dimensional
critical locus},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {30},
YEAR = {1991},
NUMBER = {3},
PAGES = {445--469},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {32S40 (32S55 57N99 57Q45 57R45)},
MRNUMBER = {1113689 (92e:32022)},
MRREVIEWER = {Lee Rudolph},
DOI = {10.1016/0040-9383(91)90025-Y},
URL = {http://dx.doi.org/10.1016/0040-9383(91)90025-Y},
}
@incollection {MR1849319,
AUTHOR = {Siersma, Dirk},
TITLE = {The vanishing topology of non isolated singularities},
BOOKTITLE = {New developments in singularity theory ({C}ambridge, 2000)},
SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},
VOLUME = {21},
PAGES = {447--472},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2001},
MRCLASS = {32S55 (32S40 58K10)},
MRNUMBER = {1849319 (2002k:32056)},
MRREVIEWER = {Mihai Tib{\u{a}}r},
}
@book{may,
TITLE = {Parametrized homotopy theory},
AUTHOR = {J. Peter May and J. Sigurdsson},
}
@book {MR2223704,
AUTHOR = {B{\"o}ttcher, Albrecht and Silbermann, Bernd},
TITLE = {Analysis of {T}oeplitz operators},
SERIES = {Springer Monographs in Mathematics},
EDITION = {Second},
NOTE = {Prepared jointly with Alexei Karlovich},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {xiv+665},
ISBN = {978-3-540-32434-8; 3-540-32434-8},
MRCLASS = {47-02 (47B35 47G10 47L80)},
MRNUMBER = {2223704 (2007k:47001)},
MRREVIEWER = {Estelle L. Basor},
}
@article{1963,
jstor_articletype = {primary_article},
title = {William Thomson: Smoke Rings and Nineteenth-Century Atomism},
author = {Silliman, Robert H.},
journal = {Isis},
jstor_issuetitle = {},
volume = {54},
number = {4},
jstor_formatteddate = {Dec., 1963},
pages = {461--474},
url = {http://www.jstor.org/stable/228151},
ISSN = {00211753},
abstract = {},
language = {},
year = {1963},
publisher = {The University of Chicago Press on behalf of The History of Science Society},
}
@article{bobvin,
AUTHOR = {V. de Silva and Ghrist, Robert},
TITLE = {Coordinate-free coverage in sensor networks with controlled boundaries via homology},
JOURNAL = {International Journal of Robotics Research},
}
@article {MR2263053,
AUTHOR = {Silver, Daniel S. and Williams, Susan G.},
TITLE = {Twisted {A}lexander polynomials detect the unknot},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {6},
YEAR = {2006},
PAGES = {1893--1901 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57M25 (57M27)},
MRNUMBER = {MR2263053 (2007g:57015)},
MRREVIEWER = {Richard John Hadji},
}
@article {odd,
AUTHOR = {Silver, Daniel S.},
TITLE = {Knot theory's odd origins},
}
@incollection {MR2145076,
AUTHOR = {Simon, Barry},
TITLE = {Sturm oscillation and comparison theorems},
BOOKTITLE = {Sturm-{L}iouville theory},
PAGES = {29--43},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {2005},
MRCLASS = {34C10 (34C11 39A11 47E05)},
MRNUMBER = {MR2145076},
DOI = {10.1007/3-7643-7359-8_2},
URL = {http://dx.doi.org/10.1007/3-7643-7359-8_2},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@article {MR0157392,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators on compact manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {69},
YEAR = {1963},
PAGES = {422--433},
ISSN = {0002-9904},
MRCLASS = {57.50},
MRNUMBER = {0157392 (28 \#626)},
MRREVIEWER = {R. Bott},
}
@article {MR0236950,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {I}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {484--530},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236950 (38 \#5243)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0236952,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {III}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {546--604},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {MR0236952 (38 \#5245)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0279833,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {IV}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {119--138},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {0279833 (43 \#5554)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0279834,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {The index of elliptic operators. {V}},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {139--149},
ISSN = {0003-486X},
MRCLASS = {57.50},
MRNUMBER = {0279834 (43 \#5555)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0285033,
AUTHOR = {Atiyah, M. F. and Singer, I. M.},
TITLE = {Index theory for skew-adjoint {F}redholm operators},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {37},
YEAR = {1969},
PAGES = {5--26},
ISSN = {0073-8301},
MRCLASS = {57.50},
MRNUMBER = {0285033 (44 \#2257)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0331443,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {5},
YEAR = {1973},
PAGES = {229--234},
ISSN = {0024-6093},
MRCLASS = {58G99 (35P05)},
MRNUMBER = {MR0331443 (48 \#9776)},
MRREVIEWER = {V. W. Guillemin},
}
@article {MR0397797,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {I}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {77},
YEAR = {1975},
PAGES = {43--69},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397797 (53 \#1655a)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397798,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {II}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {78},
YEAR = {1975},
NUMBER = {3},
PAGES = {405--432},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397798 (53 \#1655b)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR0397799,
AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
TITLE = {Spectral asymmetry and {R}iemannian geometry. {III}},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {79},
YEAR = {1976},
NUMBER = {1},
PAGES = {71--99},
ISSN = {0305-0041},
MRCLASS = {58G10 (57E15 57D85)},
MRNUMBER = {MR0397799 (53 \#1655c)},
MRREVIEWER = {Kh. Knapp},
}
@article {MR707164,
AUTHOR = {Atiyah, M. F. and Donnelly, H. and Singer, I. M.},
TITLE = {Eta invariants, signature defects of cusps, and values of
{$L$}-functions},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {118},
YEAR = {1983},
NUMBER = {1},
PAGES = {131--177},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {58G11 (11F41 11G40 11R42 58G10)},
MRNUMBER = {MR707164 (86g:58134a)},
MRREVIEWER = {R. Sczech},
}
@article{math.AT/0211216,
title = {{Quadratic functions in geometry, topology,and M-theory}},
author = {M.J. Hopkins and I. M. Singer},
eprint = {arXiv:math.AT/0211216},
}
@article {MR0319194,
AUTHOR = {Singer, William M.},
TITLE = {Steenrod squares in spectral sequences. {I}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {175},
YEAR = {1973},
PAGES = {327--336; ibid. 175\ (1973), 337--353},
ISSN = {0002-9947},
MRCLASS = {55G10},
MRNUMBER = {0319194 (47 \#7739)},
MRREVIEWER = {A. H. Clark},
}
@article {MR0319195,
AUTHOR = {Singer, William M.},
TITLE = {Steenrod squares in spectral sequences. {II}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {175},
YEAR = {1973},
PAGES = {327--336; ibid. 175\ (1973), 337--353},
ISSN = {0002-9947},
MRCLASS = {55G10},
MRNUMBER = {0319194 (47 \#7739)},
MRREVIEWER = {A. H. Clark},
}
@article {MR1855646,
AUTHOR = {Sinha, Dev},
TITLE = {Real equivariant bordism and stable transversality
obstructions for {$\Bbb Z/2$}},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {130},
YEAR = {2002},
NUMBER = {1},
PAGES = {271--281 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57R85 (55N91)},
MRNUMBER = {MR1855646 (2002h:57045)},
MRREVIEWER = {Katsuhiro Komiya},
}
@article{0808.2008,
title = {Stably diffeomorphic manifolds and l_{2q+1}(Z[\pi])},
author = {Diarmuid Crowley and J\"org Sixt},
publisher = {http://www.arXiv.org/0808.2008},
}
@article{lmonoid,
title = {l-monoids},
author = {J\"org Sixt},
}
@article{math.AT/0404383,
title = {{The algebraic theory of Kreck surgery}},
author = {J\"org Sixt},
publisher = {http://www.arXiv.org/math.AT/0404383},
}
@article {sixt,
AUTHOR = {Sixt, J\"org},
TITLE = {Even-dimensional {$l$}-monoids and {$L$}-theory},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {7},
YEAR = {2007},
PAGES = {479--515},
MRCLASS = {57R67 (19G24 57R65)},
MRNUMBER = {MR2308954 (2008f:57037)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1213365,
AUTHOR = {Sklyarenko, E. G.},
TITLE = {Zeeman's filtration in homology},
JOURNAL = {Mat. Sb.},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Matematicheski\u\i\ Sbornik},
VOLUME = {183},
YEAR = {1992},
NUMBER = {12},
PAGES = {103--116},
ISSN = {0368-8666},
MRCLASS = {55N99 (55N30 55T99)},
MRNUMBER = {1213365 (94f:55006)},
MRREVIEWER = {Vojt{\v{e}}ch Bart{\'{\i}}k},
DOI = {10.1070/SM1994v077n02ABEH003451},
URL = {http://dx.doi.org/10.1070/SM1994v077n02ABEH003451},
}
@article{math.GT/0604045,
title = {{Embedding and knotting of manifolds in Euclidean spaces}},
author = {A. Skopenkov},
eprint = {arXiv:math.GT/0604045},
}
@article {MR2171225,
AUTHOR = {Sk{\"o}ldberg, Emil},
TITLE = {Morse theory from an algebraic viewpoint},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {358},
YEAR = {2006},
NUMBER = {1},
PAGES = {115--129 (electronic)},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {16E05 (05E99 17B56)},
MRNUMBER = {2171225 (2006e:16013)},
MRREVIEWER = {Henrik Holm},
DOI = {10.1090/S0002-9947-05-04079-1},
URL = {http://dx.doi.org/10.1090/S0002-9947-05-04079-1},
}
@book {MR1662447,
AUTHOR = {Conway, J. H. and Sloane, N. J. A.},
TITLE = {Sphere packings, lattices and groups},
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
Principles of Mathematical Sciences]},
VOLUME = {290},
EDITION = {Third},
NOTE = {With additional contributions by E. Bannai, R. E. Borcherds,
J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen
and B. B. Venkov},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1999},
PAGES = {lxxiv+703},
ISBN = {0-387-98585-9},
MRCLASS = {11H31 (05B40 11H06 20D08 52C07 52C17 94B75 94C30)},
MRNUMBER = {1662447 (2000b:11077)},
MRREVIEWER = {Renaud Coulangeon},
}
@article{bartholdi_hodge_2009,
title = {Hodge Theory on Metric Spaces},
url = {http://arxiv.org/abs/0912.0284},
abstract = {Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional {\textbackslash}alpha-scale homology.},
journal = {0912.0284},
author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Smale, S. and Anthony W Baker},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology, Mathematics - Numerical Analysis},
}
@article {MR0087106,
AUTHOR = {Smale, S.},
TITLE = {A {V}ietoris mapping theorem for homotopy},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {8},
YEAR = {1957},
PAGES = {604--610},
MRCLASS = {55.0X},
MRNUMBER = {MR0087106 (19,302f)},
MRREVIEWER = {E. G. Begle},
}
@article {MR0094807,
AUTHOR = {Smale, S.},
TITLE = {Regular curves on {R}iemannian manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {87},
YEAR = {1958},
PAGES = {492--512},
MRCLASS = {55.00},
MRNUMBER = {MR0094807 (20 \#1319)},
MRREVIEWER = {C. B. Allendoerfer},
}
@article {MR0101522,
AUTHOR = {Lashof, R. K. and Smale, S.},
TITLE = {Self-intersections of immersed manifolds},
JOURNAL = {J. Math. Mech.},
VOLUME = {8},
YEAR = {1959},
PAGES = {143--157},
MRCLASS = {55.00},
MRNUMBER = {MR0101522 (21 \#332)},
MRREVIEWER = {R. Deheuvels},
}
@article {MR0103478,
AUTHOR = {Lashof, R. K. and Smale, S.},
TITLE = {On the immersion of manifolds in euclidean space},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {68},
YEAR = {1958},
PAGES = {562--583},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {MR0103478 (21 \#2246)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0104227,
AUTHOR = {Smale, S.},
TITLE = {A classification of immersions of the two-sphere},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {90},
YEAR = {1958},
PAGES = {281--290},
ISSN = {0002-9947},
MRCLASS = {55.00},
MRNUMBER = {MR0104227 (21 \#2984)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0105117,
AUTHOR = {Smale, S.},
TITLE = {The classification of immersions of spheres in {E}uclidean
spaces},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {69},
YEAR = {1959},
PAGES = {327--344},
MRCLASS = {55.00},
MRNUMBER = {MR0105117 (21 \#3862)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0133139,
AUTHOR = {Smale, S.},
TITLE = {On gradient dynamical systems},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {74},
YEAR = {1961},
PAGES = {199--206},
MRCLASS = {34.65 (57.48)},
MRNUMBER = {MR0133139 (24 \#A2973)},
MRREVIEWER = {M. M. Peixoto},
}
@article {MR0137124,
AUTHOR = {Smale, S.},
TITLE = {Generalized {P}oincar\'e's conjecture in dimensions greater
than four},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {74},
YEAR = {1961},
PAGES = {391--406},
MRCLASS = {57.01 (57.10)},
MRNUMBER = {MR0137124 (25 \#580)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR0153022,
AUTHOR = {Smale, S.},
TITLE = {On the structure of manifolds},
JOURNAL = {Amer. J. Math.},
VOLUME = {84},
YEAR = {1962},
PAGES = {387--399},
MRCLASS = {57.10},
MRNUMBER = {MR0153022 (27 \#2991)},
MRREVIEWER = {A. Dold},
}
@article {MR0236955,
AUTHOR = {Smale, S.},
TITLE = {What is global analysis?},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {76},
YEAR = {1969},
PAGES = {4--9},
MRCLASS = {57.50},
MRNUMBER = {MR0236955 (38 \#5248)},
MRREVIEWER = {R. S. Palais},
}
@article{bartholdi_hodge_2009,
title = {Hodge Theory on Metric Spaces},
url = {http://arxiv.org/abs/0912.0284},
abstract = {Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern recognition, do not fit this framework. This motivates us to develop a version of Hodge theory on metric spaces with a probability measure. We believe that this constitutes a step towards understanding the geometry of vision. The appendix by Anthony Baker provides a separable, compact metric space with infinite dimensional {\textbackslash}alpha-scale homology.},
journal = {0912.0284},
author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Smale, S. and Anthony W Baker},
month = dec,
year = {2009},
keywords = {Mathematics - Geometric Topology, Mathematics - {K-Theory} and Homology, Mathematics - Numerical Analysis},
}
@book {MR1957212,
AUTHOR = {Conway, J. H. and Smith, Derek A.},
TITLE = {On quaternions and octonions: their geometry, arithmetic, and
symmetry},
PUBLISHER = {A K Peters Ltd.},
ADDRESS = {Natick, MA},
YEAR = {2003},
PAGES = {xii+159},
ISBN = {1-56881-134-9},
MRCLASS = {17A35 (16K20 51H99)},
MRNUMBER = {MR1957212 (2004a:17002)},
MRREVIEWER = {Theo Grundh{\"o}fer},
}
@article {MR1701812,
AUTHOR = {Smith, Ivan},
TITLE = {Lefschetz fibrations and the {H}odge bundle},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry and Topology},
VOLUME = {3},
YEAR = {1999},
PAGES = {211--233 (electronic)},
ISSN = {1465-3060},
MRCLASS = {57R20 (32L99 55R10 58J28)},
MRNUMBER = {MR1701812 (2000j:57059)},
MRREVIEWER = {Paolo Lisca},
DOI = {10.2140/gt.1999.3.211},
URL = {http://dx.doi.org/10.2140/gt.1999.3.211},
}
@article {MR2385665,
AUTHOR = {Fukaya, Kenji and Seidel, Paul and Smith, Ivan},
TITLE = {Exact {L}agrangian submanifolds in simply-connected cotangent
bundles},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {172},
YEAR = {2008},
NUMBER = {1},
PAGES = {1--27},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {53D12 (53D40)},
MRNUMBER = {MR2385665 (2009a:53142)},
MRREVIEWER = {Michael J. Usher},
DOI = {10.1007/s00222-007-0092-8},
URL = {http://dx.doi.org/10.1007/s00222-007-0092-8},
}
@article {MR628594,
AUTHOR = {Smith, Justin R.},
TITLE = {Complements of codimension-two submanifolds. {III}.
{C}obordism theory},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {94},
YEAR = {1981},
NUMBER = {2},
PAGES = {423--484},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R40 (57R90)},
MRNUMBER = {MR628594 (84a:57032)},
MRREVIEWER = {J. P. Levine},
}
@article {MR629275,
AUTHOR = {Smith, Larry},
TITLE = {Invariants for immersions with applications to covering
spaces},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik. Archives of Mathematics. Archives
Math\'ematiques},
VOLUME = {36},
YEAR = {1981},
NUMBER = {5},
PAGES = {445--454},
ISSN = {0003-889X},
CODEN = {ACVMAL},
MRCLASS = {57R42 (57R20)},
MRNUMBER = {MR629275 (84i:57023)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR698352,
AUTHOR = {Smith, Larry},
TITLE = {Transfer and ramified coverings},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {93},
YEAR = {1983},
NUMBER = {3},
PAGES = {485--493},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57M12 (55R12 57S17)},
MRNUMBER = {MR698352 (85f:57002)},
MRREVIEWER = {Mark Feshbach},
DOI = {10.1017/S0305004100060795},
URL = {http://dx.doi.org/10.1017/S0305004100060795},
}
@article {MR931532,
AUTHOR = {Smolinsky, Lawrence},
TITLE = {A generalization of the {L}evine-{T}ristram link invariant},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {315},
YEAR = {1989},
NUMBER = {1},
PAGES = {205--217},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57Q45 (57M25)},
MRNUMBER = {MR931532 (89m:57021)},
MRREVIEWER = {V. G. Turaev},
}
@article{wisconsin,
AUTHOR = {Smythe, N.},
TITLE = {Boundary links},
IN BOOK = {Topology {S}eminar, {W}isconsin, 1965},
SERIES = {Edited by R. H. Bing and R. J. Bean. Annals of Mathematics
Studies, No. 60},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1966},
PAGES = {69--72},
MRCLASS = {54.00},
MRNUMBER = {MR0202100 (34 \#1974)},
}
@article {MR0339155,
AUTHOR = {Snaith, Victor},
TITLE = {A stable decomposition of {$\Omega \sp{n}S\sp{n}X$}},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {7},
YEAR = {1974},
PAGES = {577--583},
ISSN = {0024-6107},
MRCLASS = {55D35},
MRNUMBER = {MR0339155 (49 \#3918)},
MRREVIEWER = {J. P. May},
}
@article {MR567972,
AUTHOR = {Snaith, Victor},
TITLE = {On the localisation sequence in {$K$}-theory},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {79},
YEAR = {1980},
NUMBER = {3},
PAGES = {359--364},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {18F25 (12B22)},
MRNUMBER = {MR567972 (81f:18032)},
MRREVIEWER = {Jean-Louis Loday},
}
@article {snaitharf,
AUTHOR = {Snaith, Victor},
TITLE = {Stable homotopy around the Arf-Kervaire invariant},
}
@book {MR2458293,
AUTHOR = {Soifer, Alexander},
TITLE = {The mathematical coloring book},
NOTE = {Mathematics of coloring and the colorful life of its creators,
With forewords by Branko Gr{\"u}nbaum, Peter D. Johnson, Jr.
and Cecil Rousseau},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2009},
PAGES = {xxx+607},
ISBN = {978-0-387-74640-1},
MRCLASS = {05-03 (01A05 05C15)},
MRNUMBER = {2458293 (2010a:05005)},
MRREVIEWER = {Peter Mih{\'o}k},
}
@book {MR2109550,
AUTHOR = {Magnus, Wilhelm and Karrass, Abraham and Solitar, Donald},
TITLE = {Combinatorial group theory},
EDITION = {second},
NOTE = {Presentations of groups in terms of generators and relations},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {2004},
PAGES = {xii+444},
ISBN = {0-486-43830-9},
MRCLASS = {20E05 (05A15 20E06 20F12)},
MRNUMBER = {MR2109550 (2005h:20052)},
}
@article {MR715855,
AUTHOR = {Burns, R. G. and Solitar, Donald},
TITLE = {The indices of torsion-free subgroups of {F}uchsian groups},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {89},
YEAR = {1983},
NUMBER = {3},
PAGES = {414--418},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {20H10 (20F05)},
MRNUMBER = {MR715855 (85e:20035)},
MRREVIEWER = {W. W. Stothers},
DOI = {10.2307/2045485},
URL = {http://dx.doi.org/10.2307/2045485},
}
@article {MR728222,
AUTHOR = {Solopko, I. O.},
TITLE = {Exact {M}orse functions in the category {TOP} (dimension
{$>5$})},
JOURNAL = {Ukrain. Mat. Zh.},
FJOURNAL = {Akademiya Nauk Ukrainsko\u\i\ SSR. Institut Matematiki.
Ukrainski\u\i\ Matematicheski\u\i\ Zhurnal},
VOLUME = {35},
YEAR = {1983},
NUMBER = {6},
PAGES = {792--796},
ISSN = {0041-6053},
MRCLASS = {57N70 (57N35 57N75)},
MRNUMBER = {728222 (85k:57016)},
MRREVIEWER = {N. V. Ivanov},
}
@article {MR509164,
AUTHOR = {Dicks, Warren and Sontag, Eduardo D.},
TITLE = {Sylvester domains},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {13},
YEAR = {1978},
NUMBER = {3},
PAGES = {243--275},
ISSN = {0022-4049},
MRCLASS = {16A39},
MRNUMBER = {MR509164 (80j:16014)},
MRREVIEWER = {V. N. Latyshev},
}
@incollection {MR0478229,
AUTHOR = {Souriau, Jean-Marie},
TITLE = {Construction explicite de l'indice de {M}aslov.
{A}pplications},
BOOKTITLE = {Group theoretical methods in physics ({F}ourth {I}nternat.
{C}olloq., {N}ijmegen, 1975)},
PAGES = {117--148. Lecture Notes in Phys., Vol. 50},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1976},
MRCLASS = {58F05},
MRNUMBER = {MR0478229 (57 \#17715)},
MRREVIEWER = {A. Crumeyrolle},
}
@article {MR0074823,
AUTHOR = {Spanier, E. H. and Whitehead, J. H. C.},
TITLE = {Duality in homotopy theory},
JOURNAL = {Mathematika},
FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
VOLUME = {2},
YEAR = {1955},
PAGES = {56--80},
ISSN = {0025-5793},
MRCLASS = {55.0X},
MRNUMBER = {0074823 (17,653b)},
MRREVIEWER = {J. C. Moore},
}
@article {MR0085506,
AUTHOR = {Spanier, E. H.},
TITLE = {Duality and {${\rm S}$}-theory},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {62},
YEAR = {1956},
PAGES = {194--203},
ISSN = {0002-9904},
MRCLASS = {55.0X},
MRNUMBER = {MR0085506 (19,51d)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0117750,
AUTHOR = {Milnor, John W. and Spanier, E. H.},
TITLE = {Two remarks on fiber homotopy type},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {10},
YEAR = {1960},
PAGES = {585--590},
ISSN = {0030-8730},
MRCLASS = {57.00},
MRNUMBER = {MR0117750 (22 \#8524)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0143219,
AUTHOR = {Spanier, E. H.},
TITLE = {A formula of {A}tiyah and {H}irzebruch},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {80},
YEAR = {1962},
PAGES = {154--162},
ISSN = {0025-5874},
MRCLASS = {57.32 (55.00)},
MRNUMBER = {MR0143219 (26 #779)},
MRREVIEWER = {M. W. Hirsch},
}
@book {MR0210112,
AUTHOR = {Spanier, E. H.},
TITLE = {Algebraic topology},
PUBLISHER = {McGraw-Hill Book Co.},
ADDRESS = {New York},
YEAR = {1966},
PAGES = {xiv+528},
MRCLASS = {55.00},
MRNUMBER = {MR0210112 (35 \#1007)},
MRREVIEWER = {S.-T. Hu},
}
@article{dotko_cohomology_2011,
title = {Cohomology in electromagnetic modeling},
url = {http://arxiv.org/abs/1111.2374},
abstract = {Electromagnetic modeling provides an
interesting context to present a link between physical
phenomena and homology and cohomology theories. Over the past
twenty-five years, a considerable effort has been invested by
the computational electromagnetics community to develop fast
and general techniques for potential design. When
magneto-quasi-static discrete formulations based on magnetic
scalar potential are employed in problems which involve
conductive regions with holes, {\textbackslash}textit{cuts} are
needed to make the boundary value problem well defined. While
an intimate connection with homology theory has been quickly
recognized, heuristic definitions of cuts are surprisingly
still dominant in the literature. The aim of this paper is
first to survey several definitions of cuts together with their
shortcomings. Then, cuts are defined as generators of the first
cohomology group over integers of a finite {CW-complex.} This
provably general definition has also the virtue of providing an
automatic, general and efficient algorithm for the computation
of cuts. Some counter-examples show that heuristic definitions
of cuts should be abandoned. The use of cohomology theory is
not an option but the invaluable tool expressly needed to solve
this problem.},
journal = {{arXiv:1111.2374}},
author = {Dlotko, Pawel� and Specogna, Ruben},
month = nov,
year = {2011},
keywords = {Mathematics - Algebraic Topology},
}
@article {MR2641940,
AUTHOR = {Spivak, David I.},
TITLE = {Derived smooth manifolds},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {153},
YEAR = {2010},
NUMBER = {1},
PAGES = {55--128},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57Rxx (18Bxx 18Exx 55Nxx)},
MRNUMBER = {2641940},
DOI = {10.1215/00127094-2010-021},
URL = {http://dx.doi.org/10.1215/00127094-2010-021},
}
@book {MR0209411,
AUTHOR = {Spivak, Michael},
TITLE = {Calculus on manifolds. {A} modern approach to classical
theorems of advanced calculus},
PUBLISHER = {W. A. Benjamin, Inc., New York-Amsterdam},
YEAR = {1965},
PAGES = {xii+144},
MRCLASS = {26.20 (57.00)},
MRNUMBER = {0209411 (35 \#309)},
MRREVIEWER = {C. B. Allendoerfer},
}
@article {MR0214071,
AUTHOR = {Spivak, Michael},
TITLE = {Spaces satisfying {P}oincar\'e duality},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {6},
YEAR = {1967},
PAGES = {77--101},
ISSN = {0040-9383},
MRCLASS = {55.50},
MRNUMBER = {MR0214071 (35 \#4923)},
MRREVIEWER = {A. Dold},
}
@article{effenberger_simpcomp_2010,
title = {simpcomp -- A {GAP} toolbox for simplicial complexes},
url = {http://arxiv.org/abs/1004.1367},
abstract = {simpcomp is an extension (a so called package) to {GAP,} the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct new complexes from existing ones and an extensive library of triangulations of manifolds.},
journal = {1004.1367},
author = {Felix Effenberger and Jonathan Spreer},
month = apr,
year = {2010},
keywords = {52-04, {57Q15,} Computer Science - Discrete Mathematics, Mathematics - Combinatorics, Mathematics - Geometric Topology},
}
@article {MR2133309,
AUTHOR = {Spring, David},
TITLE = {The golden age of immersion theory in topology: 1959--1973.
{A} mathematical survey from a historical perspective},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {42},
YEAR = {2005},
NUMBER = {2},
PAGES = {163--180 (electronic)},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57R42 (01A60)},
MRNUMBER = {MR2133309 (2005j:57038)},
}
@article {MR727232,
AUTHOR = {Squier, Craig C.},
TITLE = {The Burau representation is unitary},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {90},
YEAR = {1984},
NUMBER = {2},
PAGES = {199--202},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {20F36},
MRNUMBER = {727232 (85b:20056)},
MRREVIEWER = {J. S. Birman},
DOI = {10.2307/2045338},
URL = {http://dx.doi.org/10.2307/2045338},
}
@article {MR938643,
AUTHOR = {Squier, Craig C.},
TITLE = {Matrix representations of Artin groups},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {103},
YEAR = {1988},
NUMBER = {1},
PAGES = {49--53},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {20C32 (20F36)},
MRNUMBER = {938643 (89d:20013)},
MRREVIEWER = {A. Peluso},
DOI = {10.2307/2047526},
URL = {http://dx.doi.org/10.2307/2047526},
}
@article {MR1763935,
AUTHOR = {Parimala, R. and Preeti, Raman and Sridharan, R.},
TITLE = {``{M}aslov index and a central extension of the
symplectic group''},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {19},
YEAR = {2000},
NUMBER = {4},
PAGES = {403},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {11E81 (19C99)},
MRNUMBER = {MR1763935 (2001c:11053b)},
MRREVIEWER = {Marek Szyjewski},
}
@article {MR1303126,
AUTHOR = {Schw{\"a}nzl, Roland and Staffeldt, Ross E.},
TITLE = {The approximation theorem and the {$K$}-theory of generalized
free products},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {347},
YEAR = {1995},
NUMBER = {9},
PAGES = {3319--3345},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1303126 (95m:19002)},
MRREVIEWER = {Piotr M. Zelewski},
}
@article {MR1912997,
AUTHOR = {Schw{\"a}nzl, Roland and Staffeldt, Ross E.},
TITLE = {The {S}eifert-van {K}ampen theorem and generalized free
products of {$S$}-algebras},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {130},
YEAR = {2002},
NUMBER = {11},
PAGES = {3193--3208 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19D10 (55P43)},
MRNUMBER = {MR1912997 (2003g:19003)},
MRREVIEWER = {Stanis{\l}aw Betley},
}
@article {MR0149457,
AUTHOR = {Stallings, John},
TITLE = {The piecewise-linear structure of {E}uclidean space},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {58},
YEAR = {1962},
PAGES = {481--488},
MRCLASS = {55.60 (54.78)},
MRNUMBER = {0149457 (26 \#6945)},
MRREVIEWER = {E. C. Zeeman},
}
@incollection {MR0158375,
AUTHOR = {Stallings, John},
TITLE = {On fibering certain {$3$}-manifolds},
BOOKTITLE = {Topology of 3-manifolds and related topics (Proc. The Univ. of
Georgia Institute, 1961)},
PAGES = {95--100},
PUBLISHER = {Prentice-Hall},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1962},
MRCLASS = {54.78},
MRNUMBER = {MR0158375 (28 \#1600)},
MRREVIEWER = {O. G. Harrold},
}
@article {MR0179270,
AUTHOR = {Stallings, John},
TITLE = {Whitehead torsion of free products},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {82},
YEAR = {1965},
PAGES = {354--363},
ISSN = {0003-486X},
MRCLASS = {20.80 (16.90)},
MRNUMBER = {MR0179270 (31 \#3518)},
MRREVIEWER = {P. M. Cohn},
}
@article {MR0188284,
AUTHOR = {Stallings, John},
TITLE = {A topological proof of {G}rushko's theorem on free products},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {90},
YEAR = {1965},
PAGES = {1--8},
ISSN = {0025-5874},
MRCLASS = {20.52},
MRNUMBER = {MR0188284 (32 \#5723)},
MRREVIEWER = {D. B. A. Epstein},
}
@book {MR0415622,
AUTHOR = {Stallings, John},
TITLE = {Group theory and three-dimensional manifolds},
NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale
University, 1969,
Yale Mathematical Monographs, 4},
PUBLISHER = {Yale University Press},
ADDRESS = {New Haven, Conn.},
YEAR = {1971},
PAGES = {v+65},
MRCLASS = {57A10 (20E30)},
MRNUMBER = {MR0415622 (54 \#3705)},
MRREVIEWER = {Edward M. Bloomberg},
}
@article {stallpl,
AUTHOR = {Stallings, John},
TITLE = {Lectures on polyhedral topology},
YEAR = {1967},
NOTES = {Tata},
}
@book {MR1438546,
AUTHOR = {Hilton, P. J. and Stammbach, U.},
TITLE = {A course in homological algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {4},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+364},
ISBN = {0-387-94823-6},
MRCLASS = {18-02 (17B56 18Gxx 20J05)},
MRNUMBER = {MR1438546 (97k:18001)},
}
@book {MR1361882,
AUTHOR = {Farmer, David W. and Stanford, Theodore},
TITLE = {Knots and surfaces},
SERIES = {Mathematical World},
VOLUME = {6},
NOTE = {A guide to discovering mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1996},
PAGES = {viii+101},
ISBN = {0-8218-0451-0},
MRCLASS = {57M25 (00A08 05C10 57M15)},
MRNUMBER = {MR1361882 (96m:57013)},
MRREVIEWER = {Colin C. Adams},
URL = {http://links.jstor.org/sici?sici=0002-9890(199711)104:9<882:KASAGT>2.0.CO;2-B&origin=MSN},
}
@article {MR1999640,
AUTHOR = {Naik, Swatee and Stanford, Theodore},
TITLE = {A move on diagrams that generates {$S$}-equivalence of knots},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {12},
YEAR = {2003},
NUMBER = {5},
PAGES = {717--724},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {MR1999640 (2004f:57014)},
MRREVIEWER = {Paola Bandieri},
}
@article{lambrechts_poincare_2007,
title = {Poincare duality and commutative differential graded algebras},
url = {http://arxiv.org/abs/math/0701309},
abstract = {We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincare duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincare duality in the same dimension. This has application in particular to the study of {CDGA} models of configuration spaces on a closed manifold.},
journal = {math/0701309},
author = {Lambrechts, Pascal and Stanley, Don},
month = jan,
year = {2007},
keywords = {{55M05}, {55P62}, {57P10}, Mathematics - Algebraic Topology},
}
@book {MR1442260,
AUTHOR = {Stanley, Richard P.},
TITLE = {Enumerative combinatorics. {V}ol. 1},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {49},
NOTE = {With a foreword by Gian-Carlo Rota,
Corrected reprint of the 1986 original},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1997},
PAGES = {xii+325},
ISBN = {0-521-55309-1; 0-521-66351-2},
MRCLASS = {05-02 (05A15 06-02 11-02)},
MRNUMBER = {MR1442260 (98a:05001)},
MRREVIEWER = {Wayne M. Dymacek},
}
@book {MR1453579,
AUTHOR = {Stanley, Richard P.},
TITLE = {Combinatorics and commutative algebra},
SERIES = {Progress in Mathematics},
VOLUME = {41},
EDITION = {Second},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1996},
PAGES = {x+164},
ISBN = {0-8176-3836-9},
MRCLASS = {05-02 (13F50)},
MRNUMBER = {1453579 (98h:05001)},
MRREVIEWER = {Volkmar Welker},
}
@book {MR1676282,
AUTHOR = {Stanley, Richard P.},
TITLE = {Enumerative combinatorics. {V}ol. 2},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {62},
NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey
Fomin},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1999},
PAGES = {xii+581},
ISBN = {0-521-56069-1; 0-521-78987-7},
MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
MRNUMBER = {MR1676282 (2000k:05026)},
MRREVIEWER = {Ira Gessel},
}
@incollection {MR1886686,
AUTHOR = {Stark, Christopher W.},
TITLE = {Topological rigidity theorems},
BOOKTITLE = {Handbook of geometric topology},
PAGES = {1045--1084},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2002},
MRCLASS = {57N15 (53C24 57R65)},
MRNUMBER = {MR1886686 (2003b:57029)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR0364740,
AUTHOR = {Yakubovich, V. A. and Starzhinskii, V. M.},
TITLE = {Linear differential equations with periodic coefficients. 1,
2},
NOTE = {Translated from Russian by D. Louvish},
PUBLISHER = {Halsted Press [John Wiley \& Sons]\ New York-Toronto, Ont.,},
YEAR = {1975},
PAGES = {Vol. 1: xii+386 pp.; Vol. 2: xii+pp. 387--839},
MRCLASS = {34CXX (34A30)},
MRNUMBER = {MR0364740 (51 \#994)},
}
@article {MR0154286,
AUTHOR = {Stasheff, James D.},
TITLE = {A classification theorem for fibre spaces},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {2},
YEAR = {1963},
PAGES = {239--246},
ISSN = {0040-9383},
MRCLASS = {55.50},
MRNUMBER = {MR0154286 (27 \#4235)},
MRREVIEWER = {E. Fadell},
}
@article {MR0180985,
AUTHOR = {Gitler, Samuel and Stasheff, James D.},
TITLE = {The first exotic class of {$BF$}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {4},
YEAR = {1965},
PAGES = {257--266},
ISSN = {0040-9383},
MRCLASS = {57.32 (57.30)},
MRNUMBER = {MR0180985 (31 \#5215)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0236926,
AUTHOR = {Stasheff, James D.},
TITLE = {``{P}arallel'' transport in fibre spaces},
JOURNAL = {Bol. Soc. Mat. Mexicana (2)},
VOLUME = {11},
YEAR = {1966},
PAGES = {68--84},
MRCLASS = {55.50},
MRNUMBER = {0236926 (38 \#5219)},
MRREVIEWER = {R. L. E. Schwarzenberger},
}
@incollection {MR0375305,
AUTHOR = {Stasheff, James D.},
TITLE = {Parallel transport and classification of fibrations},
BOOKTITLE = {Algebraic and geometrical methods in topology ({C}onf.
{T}opological {M}ethods in {A}lgebraic {T}opology, {S}tate
{U}niv. {N}ew {Y}ork, {B}inghamton, {N}.{Y}., 1973)},
PAGES = {1--17. Lecture Notes in Math., Vol. 428},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1974},
MRCLASS = {55F15 (57D30)},
MRNUMBER = {MR0375305 (51 \#11501)},
MRREVIEWER = {D. B. Fuks},
}
@book {MR0440554,
AUTHOR = {Milnor, John W. and Stasheff, James D.},
TITLE = {Characteristic classes},
NOTE = {Annals of Mathematics Studies, No. 76},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1974},
PAGES = {vii+331},
MRCLASS = {57-01 (55-02 55F40 57D20)},
MRNUMBER = {MR0440554 (55 \#13428)},
MRREVIEWER = {F. Hirzebruch},
}
@article {MR0494071,
AUTHOR = {Stasheff, James D.},
TITLE = {Continuous cohomology of groups and classifying spaces},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {84},
YEAR = {1978},
NUMBER = {4},
PAGES = {513--530},
ISSN = {0002-9904},
MRCLASS = {55B40 (57F10 57D30)},
MRNUMBER = {0494071 (58 \#13003)},
MRREVIEWER = {A. V. Zarelua},
}
@article{math.AT/0609220,
title = {{Homotopy Transition Cocycles}},
author = {James Wirth and Stasheff, James D.},
eprint = {arXiv:math.AT/0609220},
}
@book {MR1382863,
AUTHOR = {Steen, Lynn Arthur and Seebach, Jr., J. Arthur},
TITLE = {Counterexamples in topology},
NOTE = {Reprint of the second (1978) edition},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {Mineola, NY},
YEAR = {1995},
PAGES = {xii+244},
ISBN = {0-486-68735-X},
MRCLASS = {54-00 (00A20 54-01 54G20)},
MRNUMBER = {MR1382863 (96k:54001)},
}
@incollection {MR0485870,
AUTHOR = {Steenbrink, J. H. M.},
TITLE = {Mixed {H}odge structure on the vanishing cohomology},
BOOKTITLE = {Real and complex singularities ({P}roc. {N}inth {N}ordic
{S}ummer {S}chool/{NAVF} {S}ympos. {M}ath., {O}slo, 1976)},
PAGES = {525--563},
PUBLISHER = {Sijthoff and Noordhoff, Alphen aan den Rijn},
YEAR = {1977},
MRCLASS = {14C30 (14B05 14D05)},
MRNUMBER = {0485870 (58 \#5670)},
MRREVIEWER = {Helmut Hamm},
}
@article {MR1042806,
AUTHOR = {Steenbrink, J. H. M.},
TITLE = {The spectrum of hypersurface singularities},
NOTE = {Actes du Colloque de Th{\'e}orie de Hodge (Luminy, 1987)},
JOURNAL = {Ast\'erisque},
FJOURNAL = {Ast\'erisque},
NUMBER = {179-180},
YEAR = {1989},
PAGES = {11, 163--184},
ISSN = {0303-1179},
MRCLASS = {32C40 (14B05 58C27)},
MRNUMBER = {1042806 (90m:32027)},
MRREVIEWER = {P. Orlik},
}
@book {MR2393625,
AUTHOR = {Peters, Chris A. M. and Steenbrink, J. H. M.},
TITLE = {Mixed Hodge structures},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A
Series of Modern Surveys in Mathematics [Results in
Mathematics and Related Areas. 3rd Series. A Series of Modern
Surveys in Mathematics]},
VOLUME = {52},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2008},
PAGES = {xiv+470},
ISBN = {978-3-540-77015-2},
MRCLASS = {14C30 (14D07 32G20 32J25 32S35)},
MRNUMBER = {2393625 (2009c:14018)},
MRREVIEWER = {Matt Kerr},
}
@article {MR782235,
AUTHOR = {Steenbrink, J. H. M.},
TITLE = {Semicontinuity of the singularity spectrum},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {79},
YEAR = {1985},
NUMBER = {3},
PAGES = {557--565},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {32G11 (14B07 14C30 32C40)},
MRNUMBER = {782235 (86h:32033)},
MRREVIEWER = {Kurt Behnke},
DOI = {10.1007/BF01388523},
URL = {http://dx.doi.org/10.1007/BF01388523},
}
@article {MR790119,
AUTHOR = {Scherk, J. and Steenbrink, J. H. M.},
TITLE = {On the mixed {H}odge structure on the cohomology of the
{M}ilnor fibre},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {271},
YEAR = {1985},
NUMBER = {4},
PAGES = {641--665},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {32B30 (14B07 14C30 32G11 58A14)},
MRNUMBER = {790119 (87b:32014)},
MRREVIEWER = {M. Sebastiani},
DOI = {10.1007/BF01456138},
URL = {http://dx.doi.org/10.1007/BF01456138},
}
@article {MR0004122,
AUTHOR = {Hurewicz, Witold and Steenrod, N. E.},
TITLE = {Homotopy relations in fibre spaces},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
VOLUME = {27},
YEAR = {1941},
PAGES = {60--64},
MRCLASS = {56.0X},
MRNUMBER = {MR0004122 (2,323b)},
MRREVIEWER = {H. Whitney},
}
@article {MR0009114,
AUTHOR = {Steenrod, N. E.},
TITLE = {Homology with local coefficients},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {44},
YEAR = {1943},
PAGES = {610--627},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {0009114 (5,104f)},
MRREVIEWER = {S. Eilenberg},
}
@article {MR0009857,
AUTHOR = {Steenrod, N. E.},
TITLE = {The classification of sphere bundles},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {45},
YEAR = {1944},
PAGES = {294--311},
MRCLASS = {56.0X},
MRNUMBER = {MR0009857 (5,214d)},
MRREVIEWER = {H. Whitney},
}
@article {MR0022071,
AUTHOR = {Steenrod, N. E.},
TITLE = {Products of cocycles and extensions of mappings},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {48},
YEAR = {1947},
PAGES = {290--320},
MRCLASS = {56.0X},
MRNUMBER = {MR0022071 (9,154a)},
MRREVIEWER = {B. Eckmann},
}
@article {MR0031231,
AUTHOR = {Steenrod, N. E.},
TITLE = {Cohomology invariants of mappings},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {50},
YEAR = {1949},
PAGES = {954--988},
MRCLASS = {56.0X},
MRNUMBER = {MR0031231 (11,122a)},
MRREVIEWER = {S. Chern},
}
@book {MR0039258,
AUTHOR = {Steenrod, N. E.},
TITLE = {The {T}opology of {F}ibre {B}undles},
SERIES = {Princeton Mathematical Series, vol. 14},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1951},
PAGES = {viii+224},
MRCLASS = {56.0X},
MRNUMBER = {MR0039258 (12,522b)},
MRREVIEWER = {S. Chern},
}
@article {MR0041436,
AUTHOR = {Steenrod, N. E. and Whitehead, J. H. C.},
TITLE = {Vector fields on the {$n$}-sphere},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {37},
YEAR = {1951},
PAGES = {58--63},
ISSN = {0027-8424},
MRCLASS = {56.0X},
MRNUMBER = {0041436 (12,847c)},
MRREVIEWER = {H. Cartan},
}
@article {MR0048026,
AUTHOR = {Steenrod, N. E.},
TITLE = {Reduced powers of cohomology classes},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {56},
YEAR = {1952},
PAGES = {47--67},
MRCLASS = {56.0X},
MRNUMBER = {MR0048026 (13,966e)},
MRREVIEWER = {H. Cartan},
}
@book {MR0050886,
AUTHOR = {Eilenberg, Samuel and Steenrod, N. E.},
TITLE = {Foundations of algebraic topology},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, New Jersey},
YEAR = {1952},
PAGES = {xv+328},
MRCLASS = {56.0X},
MRNUMBER = {MR0050886 (14,398b)},
MRREVIEWER = {H. Cartan},
}
@article {MR0092147,
AUTHOR = {Steenrod, N. E.},
TITLE = {Cohomology operations derived from the symmetric group},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {31},
YEAR = {1957},
PAGES = {195--218},
MRCLASS = {55.0X},
MRNUMBER = {MR0092147 (19,1069i)},
MRREVIEWER = {W. S. Massey},
}
@article {MR0092148,
AUTHOR = {Steenrod, N. E. and Thomas, Emery},
TITLE = {Cohomology operations derived from cyclic groups},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {32},
YEAR = {1957},
PAGES = {129--152},
MRCLASS = {55.0X},
MRNUMBER = {MR0092148 (19,1070a)},
MRREVIEWER = {P. J. Hilton},
}
@book {MR0145525,
AUTHOR = {Steenrod, N. E.},
TITLE = {Cohomology operations},
SERIES = {Lectures by N. E. STeenrod written and revised by D. B. A.
Epstein. Annals of Mathematics Studies, No. 50},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1962},
PAGES = {vii+139},
MRCLASS = {55.34},
MRNUMBER = {MR0145525 (26 \#3056)},
MRREVIEWER = {S.-T. Hu},
}
@book {MR0206889,
AUTHOR = {Chinn, W. G. and Steenrod, N. E.},
TITLE = {First concepts of topology. {T}he geometry of mappings of
segments, curves, circles, and disks},
SERIES = {New Mathematical Library, Vol. 18},
PUBLISHER = {Random House},
ADDRESS = {New York},
YEAR = {1966},
PAGES = {viii+160},
MRCLASS = {54.00},
MRNUMBER = {MR0206889 (34 \#6705)},
MRREVIEWER = {M. Edelstein},
}
@article {MR0298655,
AUTHOR = {Steenrod, N. E.},
TITLE = {Cohomology operations, and obstructions to extending
continuous functions},
JOURNAL = {Advances in Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {8},
YEAR = {1972},
PAGES = {371--416},
ISSN = {0001-8708},
MRCLASS = {55G35},
MRNUMBER = {MR0298655 (45 \#7705)},
MRREVIEWER = {John R. Harper},
}
@article {MR0184222,
AUTHOR = {Haefliger, Andr{\'e} and Steer, B.},
TITLE = {Symmetry of linking coefficients},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {39},
YEAR = {1965},
PAGES = {259--270},
MRCLASS = {55.20},
MRNUMBER = {MR0184222 (32 \#1695)},
MRREVIEWER = {W. R. Alford},
}
@article {MR0221503,
AUTHOR = {Boardman, J. M. and Steer, B.},
TITLE = {On {H}opf invariants},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {42},
YEAR = {1967},
PAGES = {180--221},
MRCLASS = {55.40},
MRNUMBER = {MR0221503 (36 \#4555)},
MRREVIEWER = {Joel M. Cohen},
}
@book {MR0167642,
AUTHOR = {Abramowitz, Milton and Stegun, Irene A.},
TITLE = {Handbook of mathematical functions with formulas, graphs, and
mathematical tables},
SERIES = {National Bureau of Standards Applied Mathematics Series},
VOLUME = {55},
PUBLISHER = {For sale by the Superintendent of Documents, U.S. Government
Printing Office, Washington, D.C.},
YEAR = {1964},
PAGES = {xiv+1046},
MRCLASS = {33.00 (65.05)},
MRNUMBER = {MR0167642 (29 \#4914)},
MRREVIEWER = {D. H. Lehmer},
}
@article {falust1,
AUTHOR = {Farrell, F. T. and L{\"u}ck, Wolfgang and Steimle, W.},
TITLE = {Obstructions to fibering a manifold},
YEAR = {2009},
JOURNAL = {http://arxiv.org/abs/0901.1250},
}
@article{lueck_non-connective_2013,
title = {Non-connective K- and Nil-spectra of additive
categorie},
url = {http://arxiv.org/abs/1303.1272},
abstract = {We present an elementary construction of the
non-connective algebraic K-theory spectrum associated to an
additive category following the contracted functor approach due
to Bass. It comes with a universal property that easily allows
us to identify it with other constructions, for instance with
the one of Pedersen-Weibel in terms of
Z{\textasciicircum}i-graded objects and bounded
homomorphisms.},
urldate = {2013-05-09},
journal = {{arXiv:1303.1272}},
author = {Lueck, Wolfgang and Steimle, Wolfgang},
month = mar,
year = {2013},
keywords = {{19D35}, Mathematics - K-Theory and Homology},
}
@article {MR0045838,
AUTHOR = {Behnke, Heinrich and Stein, Karl},
TITLE = {Modifikation komplexer {M}annigfaltigkeiten und {R}iemannscher
{G}ebiete},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {124},
YEAR = {1951},
PAGES = {1--16},
ISSN = {0025-5831},
MRCLASS = {30.0X},
MRNUMBER = {MR0045838 (13,644d)},
MRREVIEWER = {P. Thullen},
}
@article {MR817905,
AUTHOR = {Steinberger, M.},
TITLE = {The classification of {PL} fibrations},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {33},
YEAR = {1986},
NUMBER = {1},
PAGES = {11--26},
ISSN = {0026-2285},
MRCLASS = {57Q10 (55R15 57Q60)},
MRNUMBER = {MR817905 (87g:57032)},
MRREVIEWER = {Ross Staffeldt},
}
@book {MR866482,
AUTHOR = {Lewis, L. G. and May, J. Peter and Steinberger, M. and
McClure, James},
TITLE = {Equivariant stable homotopy theory},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1213},
NOTE = {With contributions by J. E. McClure},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1986},
PAGES = {x+538},
ISBN = {3-540-16820-6},
MRCLASS = {55-02 (55Nxx 55Pxx 57S99)},
MRNUMBER = {MR866482 (88e:55002)},
MRREVIEWER = {T. tom Dieck},
}
@article{../../papers/kaczstein,
author="Kaczmarz, S. and Steinhaus, H.",
title="{Le systeme orthogonal de M. Rademacher.}",
language="French",
journal="Studia ",
volume="2",
pages="231-247",
year="1930",
abstract="{Das {\it Rademacher\/}sche Orthogonalsystem ist in
$\langle0,1\rangle$ durch $$ \varphi_n(x)=\operatorname{sign\,}(\sin2^n\pi
x)\qquad(n\geqq0) $$ definiert. Es ist normiert, aber nicht vollst\"andig.
Es wird zun\"achst von den Verf. zu einem vollst\"andigen Orthogonalsystem
$\{\psi_k(x)\}$ erweitert, und zwar durch lineare Kombination der {\it
Haar\/}schen Orthogonalfunktionen (1923; F. d. M. 49, 706 (JFM
49.0706.*)-707). \par $f$ soil in $\langle0,1\rangle$ zur {\it
Lebesgue\/}schen Klasse $L$ geh\"oren. Es wird ``zum Felde der $\varphi$
geh\"orig" genannt, wenn seine zu den $\psi_k\not\equiv\varphi_n$
geh\"origen {\it Fourier\/}konstanten (im System der $\psi$ verschwinden.
Unter wesentlicher Anwendung eines \"Aquivalenzsatzes von {\it Banach\/
}
@article {steinhaus,
AUTHOR = {Steinhaus, H.},
TITLE={Wspomnienia},
}
@book {MR0325663,
AUTHOR = {Stenstr{\"o}m, Bo},
TITLE = {Rings and modules of quotients},
SERIES = {Lecture Notes in Mathematics, Vol. 237},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1971},
PAGES = {vii+136},
MRCLASS = {16A08},
MRNUMBER = {MR0325663 (48 \#4010)},
MRREVIEWER = {G. Michler},
}
@book {MR0389953,
AUTHOR = {Stenstr{\"o}m, Bo},
TITLE = {Rings of quotients},
NOTE = {Die Grundlehren der Mathematischen Wissenschaften, Band 217,
An introduction to methods of ring theory},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1975},
PAGES = {viii+309},
MRCLASS = {16-02},
MRNUMBER = {MR0389953 (52 \#10782)},
MRREVIEWER = {G. Michler},
}
@article {MR0445507,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {The relationship between homology and topological manifolds
via homology transversality},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {39},
YEAR = {1977},
NUMBER = {3},
PAGES = {277--292},
ISSN = {0020-9910},
MRCLASS = {57C35 (57B99 55F60)},
MRNUMBER = {MR0445507 (56 \#3847)},
MRREVIEWER = {Norman Levitt},
}
@incollection {MR520518,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {Simplicial triangulations of topological manifolds},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 2},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {7--12},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57Q15},
MRNUMBER = {520518 (80m:57014)},
MRREVIEWER = {B. J. Sanderson},
}
@article {MR558395,
AUTHOR = {Galewski, David E. and Stern, Ronald J.},
TITLE = {Classification of simplicial triangulations of topological
manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {111},
YEAR = {1980},
NUMBER = {1},
PAGES = {1--34},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57Q15 (57Q25)},
MRNUMBER = {MR558395 (81f:57012)},
MRREVIEWER = {R. C. Kirby},
}
@book {MR0516965,
AUTHOR = {Guillemin, Victor and Sternberg, Shlomo},
TITLE = {Geometric asymptotics},
NOTE = {Mathematical Surveys, No. 14},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1977},
PAGES = {xviii+474 pp. (one plate)},
MRCLASS = {58G15 (35C99 41A60 47G05 58F05 78.58)},
MRNUMBER = {MR0516965 (58 \#24404)},
MRREVIEWER = {Ju. V. Egorov},
}
@article {MR817878,
AUTHOR = {Stevens, Jan},
TITLE = {Periodicity of branched cyclic covers of manifolds with open
book decomposition},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {273},
YEAR = {1986},
NUMBER = {2},
PAGES = {227--239},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {57M12 (57N99)},
MRNUMBER = {MR817878 (87e:57005)},
MRREVIEWER = {Louis H. Kauffman},
DOI = {10.1007/BF01451403},
URL = {http://dx.doi.org/10.1007/BF01451403},
}
@article {MR1509530,
AUTHOR = {Stiefel, E.},
TITLE = {Richtungsfelder und {F}ernparallelismus in n-dimensionalen
{M}annigfaltigkeiten},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {8},
YEAR = {1935},
NUMBER = {1},
PAGES = {305--353},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1509530},
}
@book {MR1016817,
AUTHOR = {Stillwell, John},
TITLE = {Mathematics and its history},
SERIES = {Undergraduate Texts in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1989},
PAGES = {x+371},
ISBN = {0-387-96981-0},
MRCLASS = {01-01 (00A05)},
MRNUMBER = {1016817 (91b:01001)},
MRREVIEWER = {Walter Purkert},
}
@book {MR2235160,
AUTHOR = {Stillwell, John},
TITLE = {Yearning for the impossible},
NOTE = {The surprising truths of mathematics},
PUBLISHER = {A K Peters Ltd.},
ADDRESS = {Wellesley, MA},
YEAR = {2006},
PAGES = {xiv+230},
ISBN = {1-56881-254-X; 978-1-56881-254-0},
MRCLASS = {00A05 (00A08)},
MRNUMBER = {2235160 (2007b:00003)},
MRREVIEWER = {Dennis F. Almeida},
}
@book {MR2431402,
AUTHOR = {Stillwell, John},
TITLE = {Naive {L}ie theory},
SERIES = {Undergraduate Texts in Mathematics},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2008},
PAGES = {xiv+217},
ISBN = {978-0-387-78214-0},
MRCLASS = {22E47 (22-01)},
MRNUMBER = {2431402 (2009g:22032)},
MRREVIEWER = {William M. McGovern},
DOI = {10.1007/978-0-387-78214-0},
URL = {http://dx.doi.org/10.1007/978-0-387-78214-0},
}
@book {MR602149,
AUTHOR = {Stillwell, John},
TITLE = {Classical topology and combinatorial group theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {72},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1980},
PAGES = {xii+301},
ISBN = {0-387-90516-2},
MRCLASS = {57-01 (20-02 20Fxx 57M99)},
MRNUMBER = {MR602149 (82h:57001)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@book{stillwell5,
AUTHOR = {Stillwell, John},
TITLE = {Geometry of surfaces},
SERIES = {Universitext},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1992},
PAGES = {xii+216},
ISBN = {0-387-97743-0},
MRCLASS = {53-01 (51-01 51Mxx 57-01)},
MRNUMBER = {1171453 (94b:53001)},
MRREVIEWER = {William Harvey},
}
@article {MR1923994,
AUTHOR = {Endo, H. and Korkmaz, M. and Kotschick, D. and Ozbagci, B. and
Stipsicz, A.},
TITLE = {Commutators, {L}efschetz fibrations and the signatures of
surface bundles},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {41},
YEAR = {2002},
NUMBER = {5},
PAGES = {961--977},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R22 (57R20 57R25 57R55)},
MRNUMBER = {MR1923994 (2003f:57051)},
MRREVIEWER = {Ivan Smith},
DOI = {10.1016/S0040-9383(01)00011-8},
URL = {http://dx.doi.org/10.1016/S0040-9383(01)00011-8},
}
@book {MR1707327,
AUTHOR = {Gompf, Robert E. and Stipsicz, Andr{\'a}s I.},
TITLE = {{$4$}-manifolds and {K}irby calculus},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {20},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {xvi+558},
ISBN = {0-8218-0994-6},
MRCLASS = {57N13 (14J80 32Q55 57-02 57R17 57R57 57R65)},
MRNUMBER = {MR1707327 (2000h:57038)},
MRREVIEWER = {Nikolai N. Saveliev},
}
@article {MR1809834,
AUTHOR = {Stipsicz, Andr{\'a}s I.},
TITLE = {On the vanishing of the third spin cobordism group {$\Omega\sb
3\sp {\rm Spin}$}},
JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI)},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski
Nauchnykh Seminarov (POMI)},
VOLUME = {267},
YEAR = {2000},
NUMBER = {Geom. i Topol. 5},
PAGES = {290--302, 332},
ISSN = {0373-2703},
MRCLASS = {57R90 (57R65)},
MRNUMBER = {MR1809834 (2001k:57041)},
MRREVIEWER = {Yuli B. Rudyak},
}
@article {MR1829079,
AUTHOR = {Bryan, Jim and Donagi, Ron and Stipsicz, Andr{\'a}s I.},
TITLE = {Surface bundles: some interesting examples},
JOURNAL = {Turkish J. Math.},
FJOURNAL = {Turkish Journal of Mathematics},
VOLUME = {25},
YEAR = {2001},
NUMBER = {1},
PAGES = {61--68},
ISSN = {1300-0098},
MRCLASS = {57R15 (57R22)},
MRNUMBER = {1829079 (2002a:57034)},
MRREVIEWER = {Ivan Smith},
}
@article {MR2425720,
AUTHOR = {Stipsicz, Andr{\'a}s I.},
TITLE = {On the {$\overline\mu$}-invariant of rational surface
singularities},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {136},
YEAR = {2008},
NUMBER = {11},
PAGES = {3815--3823},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M27 (14J17 57R58)},
MRNUMBER = {2425720 (2009e:57024)},
MRREVIEWER = {Paolo Lisca},
DOI = {10.1090/S0002-9939-08-09439-2},
URL = {http://dx.doi.org/10.1090/S0002-9939-08-09439-2},
}
@article {MR2139921,
AUTHOR = {Stoimenow, A.},
TITLE = {Some applications of {T}ristram-{L}evine signatures and
relation to {V}assiliev invariants},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {194},
YEAR = {2005},
NUMBER = {2},
PAGES = {463--484},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57M27},
MRNUMBER = {MR2139921 (2005m:57020)},
MRREVIEWER = {Shlomo Gelaki},
}
@article {MR2311179,
AUTHOR = {Stoimenow, A.},
TITLE = {Some examples related to knot sliceness},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {210},
YEAR = {2007},
NUMBER = {1},
PAGES = {161--175},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {57M25 (11E04)},
MRNUMBER = {MR2311179 (2008b:57008)},
MRREVIEWER = {Greg Friedman},
}
@article {MR0467764,
AUTHOR = {Stoltzfus, Neal W.},
TITLE = {Unraveling the integral knot concordance group},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {12},
YEAR = {1977},
NUMBER = {192},
PAGES = {iv+91},
ISSN = {0065-9266},
MRCLASS = {57C45 (10C05)},
MRNUMBER = {MR0467764 (57 \#7616)},
MRREVIEWER = {J. P. Levine},
}
@incollection {MR521738,
AUTHOR = {Stoltzfus, Neal W.},
TITLE = {Algebraic computations of the integral concordance and double
null concordance group of knots},
BOOKTITLE = {Knot theory ({P}roc. {S}em., {P}lans-sur-{B}ex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {274--290},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57Q45 (10C05)},
MRNUMBER = {521738 (81k:57018)},
}
@article {MR833015,
AUTHOR = {Bayer-Fluckiger, Eva and Stoltzfus, Neal W.},
TITLE = {Stably hyperbolic {$\epsilon$}-{H}ermitian forms and doubly
sliced knots},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {366},
YEAR = {1986},
PAGES = {129--141},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11E39 (11E08 11E81 57M25)},
MRNUMBER = {833015 (87e:11053)},
MRREVIEWER = {Maurice Flamant},
}
@article {MR875404,
AUTHOR = {Stolz, Stephan},
TITLE = {A note on the {$bP$}-component of {$(4n-1)$}-dimensional
homotopy spheres},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {99},
YEAR = {1987},
NUMBER = {3},
PAGES = {581--584},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57R60 (57R20 57R55)},
MRNUMBER = {MR875404 (88f:57060)},
MRREVIEWER = {R. De Sapio},
DOI = {10.2307/2046369},
URL = {http://dx.doi.org/10.2307/2046369},
}
@article {MR958593,
AUTHOR = {Stolz, Stephan},
TITLE = {Exotic structures on {$4$}-manifolds detected by spectral
invariants},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {94},
YEAR = {1988},
NUMBER = {1},
PAGES = {147--162},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57R55 (57R85 58G25)},
MRNUMBER = {958593 (89j:57027)},
MRREVIEWER = {J{\"u}rgen Eichhorn},
DOI = {10.1007/BF01394348},
URL = {http://dx.doi.org/10.1007/BF01394348},
}
@article {stolz1,
AUTHOR = {Stolz, Stephan},
TITLE = {Diplomarbeit},
YEAR = {1979},
}
@article {MR0195042,
AUTHOR = {Stong, R. E.},
TITLE = {Finite topological spaces},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {123},
YEAR = {1966},
PAGES = {325--340},
ISSN = {0002-9947},
MRCLASS = {54.10},
MRNUMBER = {MR0195042 (33 \#3247)},
MRREVIEWER = {E. Nunnally},
}
@article {MR0242170,
AUTHOR = {Stong, R. E.},
TITLE = {Bordism and involutions},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {90},
YEAR = {1969},
PAGES = {47--74},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0242170 (39 \#3503)},
MRREVIEWER = {J. Siegel},
}
@book {MR0248858,
AUTHOR = {Stong, R. E.},
TITLE = {Notes on cobordism theory},
SERIES = {Mathematical notes},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1968},
PAGES = {v+354+lvi},
MRCLASS = {57.10},
MRNUMBER = {MR0248858 (40 \#2108)},
MRREVIEWER = {R. Z. Goldstein},
}
@book {MR2204709,
AUTHOR = {Messer, Robert and Straffin, Philip},
TITLE = {Topology now!},
SERIES = {Classroom Resource Materials Series},
PUBLISHER = {Mathematical Association of America},
ADDRESS = {Washington, DC},
YEAR = {2006},
PAGES = {xii+240},
ISBN = {0-88385-744-8},
MRCLASS = {57-01},
MRNUMBER = {MR2204709 (2006i:57001)},
}
@article {MR0354896,
AUTHOR = {Strebel, Ralph},
TITLE = {Homological methods applied to the derived series of groups},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {49},
YEAR = {1974},
PAGES = {302--332},
ISSN = {0010-2571},
MRCLASS = {20J05},
MRNUMBER = {MR0354896 (50 \#7373)},
MRREVIEWER = {U. Stammbach},
}
@article {MR2199633,
AUTHOR = {Owens, Brendan and Strle, Sa{\v{s}}o},
TITLE = {Rational homology spheres and the four-ball genus of knots},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {200},
YEAR = {2006},
NUMBER = {1},
PAGES = {196--216},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {57M27 (57M25 57N10 57N13)},
MRNUMBER = {MR2199633 (2006m:57016)},
MRREVIEWER = {Dave Auckly},
}
@article {MR3101818,
AUTHOR = {Str{\"o}mberg, Fredrik},
TITLE = {Weil representations associated with finite quadratic modules},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {275},
YEAR = {2013},
NUMBER = {1-2},
PAGES = {509--527},
ISSN = {0025-5874},
MRCLASS = {11F27 (20C25)},
MRNUMBER = {3101818},
MRREVIEWER = {Solomon Friedberg},
DOI = {10.1007/s00209-013-1145-x},
URL = {http://dx.doi.org/10.1007/s00209-013-1145-x},
}
@article {MR0172936,
AUTHOR = {Stuelpnagel, John},
TITLE = {On the parametrization of the three-dimensional rotation
group},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {6},
YEAR = {1964},
PAGES = {422--430},
ISSN = {0036-1445},
MRCLASS = {20.60},
MRNUMBER = {MR0172936 (30 \#3151)},
MRREVIEWER = {G. de B. Robinson},
}
@book {MR2516520,
AUTHOR = {Sturm, C.},
TITLE = {Collected works of {C}harles {F}ran\c cois {S}turm},
NOTE = {Edited by Jean-Claude Pont in collaboration with Flavia
Padovani},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2009},
PAGES = {x+808},
ISBN = {978-3-7643-7989-6},
MRCLASS = {01A75 (34-03 35-03 70-03)},
MRNUMBER = {MR2516520},
}
@article {sturm,
AUTHOR = {Sturm, C.},
TITLE = {Sur les equations differentielles lineaires du second ordre},
JOURNAL = {J. de Mathematiques Pures er Appliquees},
VOLUME = {1},
YEAR = {1836},
PAGES = {106--186},
}
@book {MR1328835,
AUTHOR = {St{\"o}cker, Ralph and Zieschang, Heiner},
TITLE = {Algebraische {T}opologie},
SERIES = {Mathematische Leitf\"aden. [Mathematical Textbooks]},
EDITION = {Second},
NOTE = {Eine Einf{\"u}hrung. [An introduction]},
PUBLISHER = {B. G. Teubner},
ADDRESS = {Stuttgart},
YEAR = {1994},
PAGES = {xii+485},
ISBN = {3-519-12226-X},
MRCLASS = {55-01},
MRNUMBER = {1328835 (96b:55001)},
}
@article {MR2146024,
AUTHOR = {Hilton, P. J. and Su, C. Joanna},
TITLE = {Further remarks on systems of interlocking exact sequences},
JOURNAL = {Int. J. Math. Math. Sci.},
FJOURNAL = {International Journal of Mathematics and Mathematical
Sciences},
YEAR = {2005},
NUMBER = {1},
PAGES = {155--162},
ISSN = {0161-1712},
MRCLASS = {18G99},
MRNUMBER = {2146024 (2006b:18017)},
MRREVIEWER = {Pedro Real Jurado},
DOI = {10.1155/IJMMS.2005.155},
URL = {http://dx.doi.org/10.1155/IJMMS.2005.155},
}
@article {MR0179798,
AUTHOR = {Su, J. C.},
TITLE = {A note on the bordism algebra of involutions},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {The Michigan Mathematical Journal},
VOLUME = {12},
YEAR = {1965},
PAGES = {25--31},
ISSN = {0026-2285},
MRCLASS = {57.10},
MRNUMBER = {MR0179798 (31 \#4040)},
MRREVIEWER = {R. H. Szczarba},
}
@article{adler_persistent_2010,
title = {Persistent Homology for Random Fields and Complexes},
url = {http://arxiv.org/abs/1003.1001},
abstract = {We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices, and, in most detail, the algebraic topology of the excursion sets of random fields.},
journal = {1003.1001},
author = {Robert J Adler and Omer Bobrowski and Matthew S Borman and Eliran Subag and Shmuel Weinberger},
month = mar,
year = {2010},
keywords = {{60G15,} {55N35} {(Primary)} {60G55,} {62H35} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - Probability},
}
@article {MR803607,
AUTHOR = {Suciu, Alexander I.},
TITLE = {Infinitely many ribbon knots with the same fundamental group},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {98},
YEAR = {1985},
NUMBER = {3},
PAGES = {481--492},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {57Q45 (57M05)},
MRNUMBER = {803607 (87a:57025)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
DOI = {10.1017/S0305004100063684},
URL = {http://dx.doi.org/10.1017/S0305004100063684},
}
@article{papadima_jump_2013,
title = {Jump loci in the equivariant spectral sequence},
url = {http://arxiv.org/abs/1302.4075},
abstract = {We study the homology jump loci of a chain complex over an affine {\textbackslash}k-algebra. When the chain complex is the first page of the equivariant spectral sequence associated to a regular abelian cover of a finite-type {CW-complex}, we relate those jump loci to the resonance varieties associated to the cohomology ring of the space. As an application, we show that vanishing resonance implies a certain finiteness property for the completed Alexander invariants of the space. We also show that, generically, a connected, finite-dimensional commutative graded algebra has vanishing resonance.},
urldate = {2013-02-19},
journal = {{arXiv:1302.4075}},
author = {Papadima, Stefan and Suciu, Alexander I.},
month = feb,
year = {2013},
}
@article {MR0212811,
AUTHOR = {Sullivan, Dennis},
TITLE = {On the {H}auptvermutung for manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {73},
YEAR = {1967},
PAGES = {598--600},
MRCLASS = {57.05},
MRNUMBER = {MR0212811 (35 \#3676)},
MRREVIEWER = {E. H. Brown},
}
@incollection {MR0285012,
AUTHOR = {Sullivan, Dennis},
TITLE = {Geometric periodicity and the invariants of manifolds},
BOOKTITLE = {Manifolds--Amsterdam 1970 (Proc. Nuffic Summer School)},
SERIES = {Lecture Notes in Mathematics, Vol. 197},
PAGES = {44--75},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1971},
MRCLASS = {57.05},
MRNUMBER = {MR0285012 (44 \#2236)},
MRREVIEWER = {J. Milnor},
}
@article {MR0305416,
AUTHOR = {Rourke, C. P. and Sullivan, Dennis},
TITLE = {On the {K}ervaire obstruction},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {94},
YEAR = {1971},
PAGES = {397--413},
MRCLASS = {57C50 (57C35)},
MRNUMBER = {MR0305416 (46 \#4546)},
MRREVIEWER = {H. Suzuki},
}
@article{MR0646078,
AUTHOR = {Sullivan, Dennis},
TITLE = {Infinitesimal computations in topology},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
NUMBER = {47},
YEAR = {1977},
PAGES = {269--331 (1978)},
MRCLASS = {57D99 (55D99 58A10)},
MRNUMBER = {MR0646078 (58 \#31119)},
MRREVIEWER = {J. F. Adams},
}
@article {MR2058291,
AUTHOR = {Sullivan, Dennis},
TITLE = {Ren\'e {T}hom's work on geometric homology and bordism},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {41},
YEAR = {2004},
NUMBER = {3},
PAGES = {341--350 (electronic)},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {01A60 (01A70)},
MRNUMBER = {MR2058291},
}
@book{SULLIVANMIT,
AUTHOR = {Sullivan, Dennis},
TITLE = {Geometric Topology. Localization, Periodicity, and Galois
Symmetry (MIT notes, 1970)},
}
@article {morgsull,
AUTHOR ="John W. Morgan and Dennis Sullivan",
TITLE = "The transversality characteristic class and linking cycles in
surgery theory",
JOURNAL = "Ann. of Math. (2)",
VOLUME = "99",
YEAR = "1974",
PAGES = "463--544",
MRCLASS = "57D20 (57D65)",
MRNUMBER = "MR0350748 (50 \#3240)",
MRREVIEWER = "R. K. Lashof",
}
@article {sullivanthesis,
AUTHOR = {Sullivan, Dennis},
TITLE = {Triangulating homotopy equivalences},
YEAR = {1966},
NOTES = {Princeton Ph.D. Thesis},
}
@article {MR663885,
AUTHOR = {Hitt, L. R. and Sumners, D. W.},
TITLE = {There exist arbitrarily many different disk knots with the
same exterior},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {86},
YEAR = {1982},
NUMBER = {1},
PAGES = {148--150},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57Q45},
MRNUMBER = {663885 (83i:57013)},
MRREVIEWER = {Bradd Evans Clark},
DOI = {10.2307/2044415},
URL = {http://dx.doi.org/10.2307/2044415},
}
@article {sumners,
AUTHOR = {Sumners, D. W.},
TITLE = {Invertible knot cobordisms},
}
@article {MR0176491,
AUTHOR = {Sutherland, W. A.},
TITLE = {Fibre homotopy equivalence and vector fields},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {15},
YEAR = {1965},
PAGES = {543--556},
ISSN = {0024-6115},
MRCLASS = {57.30},
MRNUMBER = {MR0176491 (31 \#763)},
MRREVIEWER = {M. Mahowald},
}
@article {MR0423367,
AUTHOR = {Sutherland, W. A.},
TITLE = {The {B}rowder-{D}upont invariant},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {33},
YEAR = {1976},
NUMBER = {1},
PAGES = {94--112},
ISSN = {0024-6115},
MRCLASS = {57D20},
MRNUMBER = {MR0423367 (54 \#11346)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR865272,
AUTHOR = {Crabb, M. C. and Sutherland, W. A.},
TITLE = {The space of sections of a sphere-bundle.\ {I}},
JOURNAL = {Proc. Edinburgh Math. Soc. (2)},
FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
VOLUME = {29},
YEAR = {1986},
NUMBER = {3},
PAGES = {383--403},
ISSN = {0013-0915},
CODEN = {PEMSA3},
MRCLASS = {55P42 (55R25)},
MRNUMBER = {MR865272 (88f:55010)},
MRREVIEWER = {A. Dold},
}
@article {MR672939,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {I}. {N}ormal forms},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {10},
YEAR = {1982},
NUMBER = {1},
PAGES = {75--125},
ISSN = {0385-633X},
MRCLASS = {57R40 (57R70)},
MRNUMBER = {672939 (84d:57017)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR742906,
AUTHOR = {Kawauchi, Akio and Shibuya, Tetsuo and Suzuki, Shin'ichi},
TITLE = {Descriptions on surfaces in four-space. {II}. {S}ingularities
and cross-sectional links},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {1},
PAGES = {31--69},
ISSN = {0385-633X},
MRCLASS = {57Q45 (57M99 57R70)},
MRNUMBER = {742906 (85j:57033)},
MRREVIEWER = {R. C. Kirby},
}
@article {MR0174605,
AUTHOR = {Bass, H. and Heller, A. and Swan, R. G.},
TITLE = {The {W}hitehead group of a polynomial extension},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
NUMBER = {22},
YEAR = {1964},
PAGES = {61--79},
MRCLASS = {18.20 (16.90)},
MRNUMBER = {MR0174605 (30 \#4806)},
MRREVIEWER = {J. F. Adams},
}
@book {MR0245634,
AUTHOR = {Swan, R. G.},
TITLE = {Algebraic {$K$}-theory},
SERIES = {Lecture Notes in Mathematics, No. 76},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1968},
PAGES = {iv+262},
MRCLASS = {18.00 (16.00)},
MRNUMBER = {0245634 (39 \#6940)},
MRREVIEWER = {H. Bass},
}
@book {MR1886843,
AUTHOR = {Switzer, Robert M.},
TITLE = {Algebraic topology---homotopy and homology},
SERIES = {Classics in Mathematics},
NOTE = {Reprint of the 1975 original [Springer, New York; MR0385836
(52 \#6695)]},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2002},
PAGES = {xiv+526},
ISBN = {3-540-42750-3},
MRCLASS = {55-02},
MRNUMBER = {MR1886843},
}
@article {Sylvester1,
AUTHOR = {Sylvester, J.J.},
TITLE = {The collected mathematical papers, Volume 1},
YEAR = {1837--1853},
}
@article {Sylvester2,
AUTHOR = {Sylvester, J.J.},
TITLE = {The collected mathematical papers, Volume 2},
YEAR = {1854--1873},
}
@article {Sylvester3,
AUTHOR = {Sylvester, J.J.},
TITLE = {The collected mathematical papers, Volume 3},
YEAR = {1874--1881},
}
@article {Sylvester4,
AUTHOR = {Sylvester, J.J.},
TITLE = {The collected mathematical papers, Volume 4},
YEAR = {1882--1897},
}
@article {Sylvester6,
AUTHOR = {Sylvester, J.J.},
TITLE = {On a remarkable modification of Sturm's theorem},
YEAR = {1853},
JOURNAL = {Philosophical Magazine},
PAGES = {446--456},
}
@article {MR0172303,
AUTHOR = {Szczarba, R. H.},
TITLE = {On tangent bundles of fibre spaces and quotient spaces},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {86},
YEAR = {1964},
PAGES = {685--697},
ISSN = {0002-9327},
MRCLASS = {57.30},
MRNUMBER = {MR0172303 (30 \#2522)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0182972,
AUTHOR = {Kwun, Kyung Whan and Szczarba, R. H.},
TITLE = {Product and sum theorems for {W}hitehead torsion},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {82},
YEAR = {1965},
PAGES = {183--190},
ISSN = {0003-486X},
MRCLASS = {55.40 (18.20)},
MRNUMBER = {MR0182972 (32 \#454)},
MRREVIEWER = {D. B. A. Epstein},
}
@book {MR0372517,
AUTHOR = {Szeg{\H{o}}, G{\'a}bor},
TITLE = {Orthogonal polynomials},
EDITION = {Fourth},
NOTE = {American Mathematical Society, Colloquium Publications, Vol.
XXIII},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1975},
PAGES = {xiii+432},
MRCLASS = {42A52 (33A65)},
MRNUMBER = {MR0372517 (51 \#8724)},
}
@article{nemethi_milnor_2009,
title = {Milnor fibre boundary of a non-isolated surface singularity},
url = {http://arxiv.org/abs/0909.0354},
abstract = {Let f be a hypersurface surface local singularity whose zero set has 1-dimensional singular locus. We develop an explicit procedure that provides the boundary of the Milnor fibre of f as an oriented plumbed 3-manifold. The method provides the characteristic polynomial of the algebraic monodromy as well. Moreover, for any analytic germ g such that the pair (f,g) is an isolated complete intersection singularity, the (multiplicity system of the) open book decomposition of the boundary with binding determined by g and pages determined by the argument of g is also computed. In order to do this, we have to establish key results regarding the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the {ICIS} (f,g). The theory is supported by many examples. E.g. the case of homogeneous singularities (including the case of arrangements) is detailed completely. A list of especially peculiar examples, and also a list of related open problems is given.},
journal = {0909.0354},
author = {Nemethi, Andras and Szilard, Agnes},
month = sep,
year = {2009},
keywords = {{32S25} {(Primary)}, {32S05}, {32S22}, {32S35}, {32S40}, {32S45}, {32S55}, {14J17}, {14B05}, {14P15}, {57M27} {(Secondary)}, Mathematics - Algebraic Geometry},
}
@inproceedings {MR1921654,
AUTHOR = {Kalman, Tamas and Szucs, Andras},
TITLE = {On double points of immersed surfaces},
BOOKTITLE = {Proceedings of the {J}anos {B}olyai {M}athematical {S}ociety
8th {I}nternational {T}opology {C}onference ({G}yula, 1998)},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1},
PAGES = {131--134},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R42 (55N22 57R20)},
MRNUMBER = {1921654 (2003f:57056)},
MRREVIEWER = {J{\'u}lius Korba{\v{s}}},
DOI = {10.1016/S0166-8641(01)00176-6},
URL = {http://dx.doi.org/10.1016/S0166-8641(01)00176-6},
}
@article {MR1185018,
AUTHOR = {Szucs, Andr{\'a}s},
TITLE = {Note on double points of immersions},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {76},
YEAR = {1992},
NUMBER = {3-4},
PAGES = {251--256},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {57R42 (57R20 57R75)},
MRNUMBER = {MR1185018 (93h:57047)},
MRREVIEWER = {Shigeki Kikuchi},
}
@book {MR2334179,
TITLE = {Topological library. {P}art 1: cobordisms and their
applications},
SERIES = {Series on Knots and Everything},
VOLUME = {39},
AUTHOR = {Novikov, S. P. and Taimanov, I. A.},
NOTE = {Translation by V. O. Manturov},
PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
YEAR = {2007},
PAGES = {xiv+369},
ISBN = {978-981-270-559-4; 981-270-559-7},
MRCLASS = {57-06 (57Rxx)},
MRNUMBER = {MR2334179 (2008c:57001)},
}
@book {taitlect,
AUTHOR = {Tait, Peter Guthrie},
TITLE = {Lectures on some recent advances in physical science},
PUBLISHER = {Macmillan},
ADDRESS = {London},
YEAR = {1876},
}
@book {taitpapers1,
AUTHOR = {Tait, Peter Guthrie},
TITLE = {Scientific papers, vol. 1},
}
@book {taitpapers2,
AUTHOR = {Tait, Peter Guthrie},
TITLE = {Scientific papers, vol. 2},
}
@book {taitquat,
AUTHOR = {Tait, Peter Guthrie},
TITLE = {An elementary treatise on Quaternions},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1873},
}
@article {MR0244387,
AUTHOR = {Atiyah, M. F. and Tall, D. O.},
TITLE = {Group representations, {$\lambda $}-rings and the
{$J$}-homomorphism},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {253--297},
ISSN = {0040-9383},
MRCLASS = {20.50 (55.00)},
MRNUMBER = {0244387 (39 \#5702)},
MRREVIEWER = {H. Bass},
}
@book {MR2225848,
AUTHOR = {Kono, Akira and Tamaki, Dai},
TITLE = {Generalized cohomology},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {230},
NOTE = {Translated from the 2002 Japanese edition by Tamaki,
Iwanami Series in Modern Mathematics},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2006},
PAGES = {xii+254},
ISBN = {0-8218-3514-9},
MRCLASS = {55N20 (55T05)},
MRNUMBER = {2225848 (2007a:55007)},
MRREVIEWER = {Richard John Steiner},
}
@article {MR1895371,
AUTHOR = {Tamulis, Andrius},
TITLE = {Knots of ten or fewer crossings of algebraic order 2},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {11},
YEAR = {2002},
NUMBER = {2},
PAGES = {211--222},
ISSN = {0218-2165},
MRCLASS = {57M25 (57N70 57Q60)},
MRNUMBER = {MR1895371 (2003b:57012)},
MRREVIEWER = {Swatee Naik},
}
@article {MR0091475,
AUTHOR = {Tamura, Itiro},
TITLE = {On {P}ontrjagin classes and homotopy types of manifolds},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {9},
YEAR = {1957},
PAGES = {250--262},
ISSN = {0025-5645},
MRCLASS = {55.0X},
MRNUMBER = {MR0091475 (19,975b)},
MRREVIEWER = {N. Stein},
}
@article {MR0114222,
AUTHOR = {Tamura, Itiro},
TITLE = {Characteristic classes of {$M$}-spaces. {I}},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {11},
YEAR = {1959},
PAGES = {312--342},
ISSN = {0025-5645},
MRCLASS = {57.00},
MRNUMBER = {0114222 (22 \#5046)},
MRREVIEWER = {F. P. Peterson},
}
@article {MR0114223,
AUTHOR = {Tamura, Itiro},
TITLE = {Characteristic classes of {$2$}-fold symmetric products of
spheres},
JOURNAL = {J. Math. Soc. Japan},
FJOURNAL = {Journal of the Mathematical Society of Japan},
VOLUME = {12},
YEAR = {1960},
PAGES = {8--15},
ISSN = {0025-5645},
MRCLASS = {57.00},
MRNUMBER = {0114223 (22 \#5047)},
MRREVIEWER = {F. P. Peterson},
}
@article {MR0143220,
AUTHOR = {Tamura, Itiro},
TITLE = {{$8$}-manifolds admitting no differentiable structure},
JOURNAL = {J. Math. Soc. Japan},
VOLUME = {13},
YEAR = {1961},
PAGES = {377--382},
MRCLASS = {57.10},
MRNUMBER = {MR0143220 (26 \#780)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0144350,
AUTHOR = {Tamura, Itiro},
TITLE = {Remarks on differentiable structures on spheres},
JOURNAL = {J. Math. Soc. Japan},
VOLUME = {13},
YEAR = {1961},
PAGES = {383--386},
MRCLASS = {57.10},
MRNUMBER = {MR0144350 (26 \#1895)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR2556456,
AUTHOR = {Bj{\"o}rner, Anders and Tancer, Martin},
TITLE = {Note: {C}ombinatorial {A}lexander duality---a short and
elementary proof},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {42},
YEAR = {2009},
NUMBER = {4},
PAGES = {586--593},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {55U30 (05E45)},
MRNUMBER = {2556456 (2010m:55021)},
DOI = {10.1007/s00454-008-9102-x},
URL = {http://dx.doi.org/10.1007/s00454-008-9102-x},
}
@article {MR1974565,
AUTHOR = {Kuku, Aderemi and Tang, Guoping},
TITLE = {Higher {$K$}-theory of group-rings of virtually infinite
cyclic groups},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {325},
YEAR = {2003},
NUMBER = {4},
PAGES = {711--726},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {19D35 (16H05 16S35)},
MRNUMBER = {MR1974565 (2004a:19001)},
MRREVIEWER = {Barry H. Dayton},
}
@article {MR1915882,
AUTHOR = {Tang, Zizhou},
TITLE = {Bordism theory and the {K}ervaire semi-characteristic},
JOURNAL = {Sci. China Ser. A},
FJOURNAL = {Science in China. Series A. Mathematics},
VOLUME = {45},
YEAR = {2002},
NUMBER = {6},
PAGES = {716--720},
ISSN = {1006-9283},
MRCLASS = {57R25},
MRNUMBER = {MR1915882 (2003e:57046)},
MRREVIEWER = {R. E. Stong},
}
@book {MR0226634,
AUTHOR = {Mosher, Robert E. and Tangora, Martin C.},
TITLE = {Cohomology operations and applications in homotopy theory},
PUBLISHER = {Harper \& Row Publishers},
ADDRESS = {New York},
YEAR = {1968},
PAGES = {x+214},
MRCLASS = {55.40},
MRNUMBER = {MR0226634 (37 \#2223)},
MRREVIEWER = {Laurence R. Smith},
}
@article {MR1309997,
AUTHOR = {Taniyama, Kouki and Yasuhara, Akira},
TITLE = {On {$C$}-distance of knots},
JOURNAL = {Kobe J. Math.},
FJOURNAL = {Kobe Journal of Mathematics},
VOLUME = {11},
YEAR = {1994},
NUMBER = {1},
PAGES = {117--127},
ISSN = {0289-9051},
MRCLASS = {57M25 (57Q60)},
MRNUMBER = {MR1309997 (95j:57010)},
MRREVIEWER = {Mark Brittenham},
}
@book {MR2403898,
AUTHOR = {F{\'e}lix, Yves and Oprea, John and Tanr{\'e}, Daniel},
TITLE = {Algebraic models in geometry},
SERIES = {Oxford Graduate Texts in Mathematics},
VOLUME = {17},
PUBLISHER = {Oxford University Press},
ADDRESS = {Oxford},
YEAR = {2008},
PAGES = {xxii+460},
ISBN = {978-0-19-920651-3},
MRCLASS = {55P62 (53-02 53C22 53D35 55-02)},
MRNUMBER = {2403898 (2009a:55006)},
MRREVIEWER = {Samuel B. Smith},
}
@book {picct,
AUTHOR = {Piccione, Paolo and Tausk, Daniel Victor},
TITLE = {On the geometry of Grassmannians and the symplectic group: the Maslov index and its applications},
}
@preprint{Gauss,
AUTHOR = {Taylor, Laurence R.},
TITLE = {Gauss Sums in Algebra and Topology},
}
@article {MR0388373,
AUTHOR = {Kauffman, Louis and Taylor, Laurence R.},
TITLE = {Signature of links},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {216},
YEAR = {1976},
PAGES = {351--365},
ISSN = {0002-9947},
MRCLASS = {55A25},
MRNUMBER = {MR0388373 (52 \#9210)},
MRREVIEWER = {Wilbur Whitten},
}
@article {MR0431142,
AUTHOR = {Taylor, Laurence R.},
TITLE = {{$2$}-local cobordism theories},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {14},
YEAR = {1976},
NUMBER = {2},
PAGES = {303--308},
ISSN = {0024-6107},
MRCLASS = {55B20},
MRNUMBER = {MR0431142 (55 \#4144)},
MRREVIEWER = {A. Liulevicius},
}
@article {MR2326949,
AUTHOR = {Hughes, Bruce and Taylor, Laurence R. and Weinberger, Shmuel
and Williams, Bruce},
TITLE = {Examples of exotic stratifications},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {1477--1505},
ISSN = {1465-3060},
MRCLASS = {57N80 (19J05)},
MRNUMBER = {2326949 (2008c:57038)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2140/gt.2007.11.1477},
URL = {http://dx.doi.org/10.2140/gt.2007.11.1477},
}
@incollection {MR547461,
AUTHOR = {Taylor, Laurence R.},
TITLE = {On the genera of knots},
BOOKTITLE = {Topology of low-dimensional manifolds ({P}roc. {S}econd
{S}ussex {C}onf., {C}helwood {G}ate, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {722},
PAGES = {144--154},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57Q45},
MRNUMBER = {MR547461 (82m:57011)},
}
@incollection {MR557167,
AUTHOR = {Taylor, Laurence R. and Williams, Bruce},
TITLE = {Surgery spaces: formulae and structure},
BOOKTITLE = {Algebraic topology, {W}aterloo, 1978 ({P}roc. {C}onf., {U}niv.
{W}aterloo, {W}aterloo, {O}nt., 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {741},
PAGES = {170--195},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57R67},
MRNUMBER = {557167 (81k:57034)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR593058,
AUTHOR = {Madsen, Ib and Taylor, Laurence R. and Williams, Bruce},
TITLE = {Tangential homotopy equivalences},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {3},
PAGES = {445--484},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57N65 (55P10)},
MRNUMBER = {MR593058 (82f:57015)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR719669,
AUTHOR = {Caruso, J. and Cohen, F. R. and May, J. Peter and Taylor, Laurence R.},
TITLE = {James maps, {S}egal maps, and the {K}ahn-{P}riddy theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {281},
YEAR = {1984},
NUMBER = {1},
PAGES = {243--283},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (18F25 19L64 55P47 55Q05 55Q25 55S15)},
MRNUMBER = {MR719669 (86g:55007)},
MRREVIEWER = {Ralph L. Cohen},
}
@incollection {MR764576,
AUTHOR = {Hambleton, Ian and Taylor, Laurence R. and Williams, Bruce},
TITLE = {An introduction to maps between surgery obstruction groups},
BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {49--127},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R65 (18F25 19G24)},
MRNUMBER = {MR764576 (86b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR922660,
AUTHOR = {Hambleton, Ian and Milgram, R. J. and Taylor, Laurence R. and Williams,
Bruce},
TITLE = {Surgery with finite fundamental group},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {56},
YEAR = {1988},
NUMBER = {2},
PAGES = {349--379},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (19L64 57R65)},
MRNUMBER = {MR922660 (89c:57043)},
MRREVIEWER = {A. A. Ranicki},
}
@article {closed,
AUTHOR = {Taylor, Laurence R. and Williams, Bruce},
TITLE = {Surgery on closed manifolds},
}
@article {taylor3,
AUTHOR = {Taylor, Laurence R.},
TITLE = {Unoriented geometric functors},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {20},
YEAR = {2008},
NUMBER = {3},
PAGES = {457--467},
}
@article {taylor4,
AUTHOR = {Taylor, Laurence R.},
TITLE = {Surgery on paracompact manifolds},
JOURNAL = {Berkeley Ph.D. thesis},
YEAR = {1972},
}
@article {MR1465889,
AUTHOR = {Hambleton, Ian and Teichner, Peter},
TITLE = {A non-extended {H}ermitian form over {$\bold Z[\bold Z]$}},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {93},
YEAR = {1997},
NUMBER = {4},
PAGES = {435--442},
ISSN = {0025-2611},
CODEN = {MSMHB2},
MRCLASS = {57R19 (11E39 57N13 57R67)},
MRNUMBER = {1465889 (98i:57049)},
MRREVIEWER = {Terry Lawson},
DOI = {10.1007/BF02677483},
URL = {http://dx.doi.org/10.1007/BF02677483},
}
@article {MR1963739,
AUTHOR = {Teichner, Peter},
TITLE = {Flatness and the {O}re condition for rings},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {131},
YEAR = {2003},
NUMBER = {7},
PAGES = {1977--1980 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {16S10},
MRNUMBER = {MR1963739 (2004c:16039)},
}
@article{cochran_new_2007,
title = {New Constructions of Slice Links},
url = {http://arxiv.org/abs/0709.2148},
abstract = {We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general context for proving links are slice that includes many of the previously known results.},
journal = {0709.2148},
author = {Tim D. Cochran and Stefan Friedl and Peter Teichner},
month = sep,
year = {2007},
note = {Commentarii Math. Helv. 84, no.3, (2009), 617-638},
keywords = {{57M25,} Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{conant_geometric_2011,
title = {Geometric Filtrations of Classical Link Concordance},
url = {http://arxiv.org/abs/1101.3477},
abstract = {This paper describes grope and Whitney tower filtrations on the set of concordance classes of classical links in terms of class and order respectively. Using the tree-valued intersection theory of Whitney towers, the associated graded quotients are shown to be finitely generated abelian groups under a (surprisingly) well-defined connected sum operation. Twisted Whitney towers are also introduced, along with a corresponding quadratic enhancement of the intersection theory for framed Whitney towers that measures Whitney-disk framing obstructions. The obstruction theory in the framed setting is strengthened, and the relationships between the twisted and framed filtrations are described in terms of exact sequences which show how higher-order {Sato-Levine} and higher-order Arf invariants are obstructions to framing a twisted Whitney tower. The results from this paper combine with those in {{\textbackslash}cite{CST2,CST3,CST4}} to give a classifications of the filtrations; see our survey {{\textbackslash}cite{CST0}} as well as the end of the introduction.},
journal = {1101.3477},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_higher_2010,
title = {Higher Order Intersections in {Low-Dimensional} Topology},
url = {http://arxiv.org/abs/1011.6026},
abstract = {We show how to measure the failure of the Whitney trick in dimension 4 by constructing higher- order intersection invariants of Whitney towers built from iterated Whitney disks on immersed surfaces in 4-manifolds. For Whitney towers on immersed disks in the 4-ball, we identify some of these new invariants with previously known link invariants like Milnor, {Sato-Levine} and Arf invariants. We also define higher- order {Sato-Levine} and Arf invariants and show that these invariants detect the obstructions to framing a twisted Whitney tower. Together with Milnor invariants, these higher-order invariants are shown to classify the existence of (twisted) Whitney towers of increasing order in the 4-ball. A conjecture regarding the non- triviality of the higher-order Arf invariants is formulated, and related implications for filtrations of string links and 3-dimensional homology cylinders are described. This article is an announcement and summary of results to be published in several forthcoming papers.},
journal = {1011.6026},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = nov,
year = {2010},
keywords = {{57M25,} {57M27,} {57Q45,} Mathematics - Geometric Topology},
}
@article{conant_milnor_2011,
title = {Milnor Invariants and Twisted Whitney Towers},
url = {http://arxiv.org/abs/1102.0758},
abstract = {This paper describes the relation between the first non-vanishing Milnor invariants of a link in the 3-sphere and the intersection invariant of a twisted Whitney tower in the 4-ball bounded by the link. In combination with results from three closely related papers[5,6,7], we conclude that for n{\textbackslash}equiv0,1,3 mod 4,the group W\_n of links bounding order n twisted Whitney towers modulo order n+1 twisted Whitney tower concordance is free abelian with rank equal to the number of length n+2 Milnor invariants. We also show that the groups W\_{4k+2} contain at most 2-torsion and give an upper bound on the number of generators of these groups. These upper bounds are sharp if and only if our higher-order Arf invariants Arf\_k are Z\_2-linearly independent. Constructing boundary links realizing the image of Arf\_k for all k leads to two new geometric characterizations of links with vanishing length {\textbackslash}leq 2n Milnor invariants.},
journal = {1102.0758},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = feb,
year = {2011},
keywords = {{57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{conant_universal_2011,
title = {Universal Quadratic Forms and Untwisting Whitney Towers},
url = {http://arxiv.org/abs/1101.3480},
abstract = {The first part of this paper completes the classification of Whitney towers in the 4-ball that was started in three related papers. We provide an algebraic framework allowing the computations of the graded groups associated to geometric filtrations of classical link concordance by order \$n\$ (twisted) Whitney towers in the 4-ball. Higher-order {Sato-Levine} invariants and higher-order Arf invariants are defined and shown to be the obstructions to framing a twisted Whitney tower. In the second part of this paper, a general theory of quadratic forms is developed and then specialized from the non-commutative to the commutative to finally, the symmetric settings. The intersection invariant for twisted Whitney towers is shown to be the universal symmetric refinement of the framed intersection invariant.},
journal = {1101.3480},
author = {James Conant and Rob Schneiderman and Peter Teichner},
month = jan,
year = {2011},
keywords = {{57Q60,} {57M25,} {57M27,} Mathematics - Geometric Topology},
}
@article{grope,
title = {{What is ... a grope?}},
author = {Peter Teichner},
journal = {Notices A.M.S.},
volume = 51,
year = 2004,
pages = {894--895},
}
@preprint{klausteichner,
AUTHOR = {Stephan Klaus and Peter Teichner},
TITLE = {The Chern-Hirzebruch-Serre theorem for the signature modulo 8},
}
@article{math.GT/0004021,
title = {{All two dimensional links are null homotopic}},
author = {Arthur Bartels and Peter Teichner},
journal = {Geom. Topol.},
volume = 3,
year = 1999,
pages = {235--252},
}
@article{math.GT/0008048,
title = {{Higher order intersection numbers of 2-spheres in
4-manifolds}},
author = {Rob Schneiderman and Peter Teichner},
journal = {Algebraic and Geometric Topology},
volume = 1,
year = 2001,
pages = {1--29},
}
@article{math.GT/0012118,
title = {{Grope cobordism of classical knots}},
author = {James Conant and Peter Teichner},
}
@article{math.GT/0206023,
title = {{On Knots with trivial Alexander polynomial}},
author = {Stavros Garoufalidis and Peter Teichner},
}
@article{math.GT/0206059,
title = {{Structure in the classical knot concordance group}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
}
@article{math.GT/0209075,
title = {{Grope Cobordism and Feynman Diagrams}},
author = {James Conant and Peter Teichner},
}
@article{math.GT/0304299,
title = {{Knots, von Neumann signatures, and grope cobordism}},
author = {Peter Teichner},
howpublished = {Proceedings of the ICM, Beijing 2002, vol. 2, 437--446},
}
@article{math.GT/0401427,
title = {{Jacobi identities in low-dimensional topology}},
author = {James Conant and Rob Schneiderman and Peter Teichner},
}
@article{math.GT/0411057,
title = {{Knot concordance and von Neumann $\rho$-invariants}},
author = {Tim D. Cochran and Peter Teichner},
}
@article{math.GT/0505233,
title = {{New topologically slice knots}},
author = {Stefan Friedl and Peter Teichner},
eprint = {arXiv:math.GT/0505233},
}
@article{math.GT/9612216,
title = {{Maximal Nilpotent Quotients of 3-Manifold Groups}},
author = {Peter Teichner},
howpublished = {MSRI 1996-088},
}
@article{math.GT/9705222,
title = {{Alexander duality, gropes and link homotopy}},
author = {Vyacheslav S. Krushkal and Peter Teichner},
journal = {Geom. Topol.},
volume = 1,
year = 1997,
pages = {51--69},
}
@article{math.GT/9908117,
title = {{Knot concordance, Whitney towers and L^2 signatures}},
author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
howpublished = {Ann. of Math. (2), Vol. 157 (2003), no. 2, 433--519},
}
@article{schtei,
title = {{Whitney towers and the Kontsevich integral}},
author = {Rob Schneiderman and Peter Teichner},
journal = {Geom. Topol. Monogr.},
volume = 7,
year = 2004,
pages = {101--134},
eprint = {arXiv:math.GT/0401441},
}
@paper{sdnotes,
AUTHOR = {Teichner, Peter},
TITLE = {Knot theory, UCSD 2001},
YEAR={2001},
LOCALPDF = "../../papers/sdnotes.pdf",
}
@article{telemanlect,
AUTHOR = {Teleman, Constantin},
TITLE = {5 lectures on field theory},
YEAR = {2012},
}
@article {kt,
AUTHOR = {Kramer, Linus and Tent, Katrin},
TITLE = {A Maslov cocycle for unitary groups},
JOURNAL = {Proc. Lond. Math. Soc.},
}
@article {MR2947546,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {A notion of geometric complexity and its application to
topological rigidity},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {189},
YEAR = {2012},
NUMBER = {2},
PAGES = {315--357},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57Nxx (22Fxx 53Cxx)},
MRNUMBER = {2947546},
DOI = {10.1007/s00222-011-0366-z},
URL = {http://dx.doi.org/10.1007/s00222-011-0366-z},
}
@article {guteyu2,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {DISCRETE GROUPS WITH FINITE DECOMPOSITION COMPLEXITY},
}
@article{dg-ga/9707010,
title = {{Torsion and fibrations}},
author = {Wolfgang L{\"u}ck and Thomas Schick and Thomas Thielmann},
}
@article {MR0061823,
AUTHOR = {Thom, Rene},
TITLE = {Quelques propri\'et\'es globales des vari\'et\'es
diff\'erentiables},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {28},
YEAR = {1954},
PAGES = {17--86},
ISSN = {0010-2571},
MRCLASS = {56.0X},
MRNUMBER = {MR0061823 (15,890a)},
MRREVIEWER = {W. S. Massey},
}
@article {Thomworks,
AUTHOR = {Thom, Rene},
TITLE = {Collected works},
}
@article {MR0097062,
AUTHOR = {Dold, Albrecht and Thom, Ren{\'e}},
TITLE = {Quasifaserungen und unendliche symmetrische {P}rodukte},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {67},
YEAR = {1958},
PAGES = {239--281},
ISSN = {0003-486X},
MRCLASS = {55.00},
MRNUMBER = {0097062 (20 \#3542)},
MRREVIEWER = {Sze-tsen Hu},
}
@article {MR0426003,
AUTHOR = {Madsen, Ib and Thomas, C. B. and Wall, C. T. C.},
TITLE = {The topological spherical space form problem. {II}.
{E}xistence of free actions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {15},
YEAR = {1976},
NUMBER = {4},
PAGES = {375--382},
ISSN = {0040-9383},
MRCLASS = {57E25},
MRNUMBER = {MR0426003 (54 \#13952)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR0079254,
AUTHOR = {Thomas, Emery},
TITLE = {A generalization of the {P}ontrjagin square cohomology
operation},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {42},
YEAR = {1956},
PAGES = {266--269},
MRCLASS = {55.0X},
MRNUMBER = {MR0079254 (18,57b)},
MRREVIEWER = {H. Cartan},
}
@article {MR0092148,
AUTHOR = {Steenrod, N. E. and Thomas, Emery},
TITLE = {Cohomology operations derived from cyclic groups},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {32},
YEAR = {1957},
PAGES = {129--152},
MRCLASS = {55.0X},
MRNUMBER = {MR0092148 (19,1070a)},
MRREVIEWER = {P. J. Hilton},
}
@article {MR0099029,
AUTHOR = {Thomas, Emery},
TITLE = {The generalized {P}ontrjagin cohomology operations and rings
with divided powers},
JOURNAL = {Mem. Amer. Math. Soc. no.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {27},
YEAR = {1957},
PAGES = {82},
ISSN = {0065-9266},
MRCLASS = {55.00},
MRNUMBER = {0099029 (20 \#5474)},
MRREVIEWER = {H. Cartan},
}
@article {MR0110098,
AUTHOR = {Thomas, Emery},
TITLE = {The suspension of the generalized {P}ontrjagin cohomology
operations. },
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {9},
YEAR = {1959},
PAGES = {897--911},
ISSN = {0030-8730},
MRCLASS = {55.00},
MRNUMBER = {0110098 (22 \#981)},
MRREVIEWER = {H. Cartan},
}
@article {MR0140103,
AUTHOR = {Browder, William and Thomas, Emery},
TITLE = {Axioms for the generalized {P}ontryagin cohomology operatons},
JOURNAL = {Quart. J. Math. Oxford. Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {13},
YEAR = {1962},
PAGES = {55--60},
ISSN = {0033-5606},
MRCLASS = {55.34},
MRNUMBER = {MR0140103 (25 \#3526)},
MRREVIEWER = {J. F. Adams},
}
@book {MR0203733,
AUTHOR = {Thomas, Emery},
TITLE = {Seminar on fiber spaces},
SERIES = {Lectures delivered in 1964 in Berkeley and 1965 in Z\"urich.
Berkeley notes by J. F. McClendon. Lecture Notes in
Mathematics},
VOLUME = {13},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1966},
PAGES = {iv+45},
MRCLASS = {55.50},
MRNUMBER = {0203733 (34 \#3582)},
MRREVIEWER = {E. Fadell},
}
@article {MR0242189,
AUTHOR = {Thomas, Emery},
TITLE = {Vector fields on manifolds},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {75},
YEAR = {1969},
PAGES = {643--683},
ISSN = {0002-9904},
MRCLASS = {57.34},
MRNUMBER = {MR0242189 (39 \#3522)},
MRREVIEWER = {F. W. Wilson, Jr.},
}
@article {MR0278296,
AUTHOR = {Thomas, Emery},
TITLE = {Whitney-{C}artan product formulae},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {118},
YEAR = {1970},
PAGES = {115--138},
ISSN = {0025-5874},
MRCLASS = {55.34},
MRNUMBER = {0278296 (43 \#4026)},
MRREVIEWER = {H. Suzuki},
}
@article {MR2280792,
AUTHOR = {Thomas, Teruji},
TITLE = {The {M}aslov index as a quadratic space},
JOURNAL = {Math. Res. Lett.},
FJOURNAL = {Mathematical Research Letters},
VOLUME = {13},
YEAR = {2006},
NUMBER = {5-6},
PAGES = {985--999},
ISSN = {1073-2780},
MRCLASS = {53D12 (11E88)},
MRNUMBER = {MR2280792 (2007j:53093)},
MRREVIEWER = {Maneesh L. Thakur},
}
@article {thomas,
AUTHOR = {Thomas, Teruji and Kamgarpur, M.},
TITLE = {Compatible intertwiners for representations of finite nilpotent groups},
url = {http://arxiv.org/abs/0909.5670},
}
@incollection {tthomas,
AUTHOR = {Thomas, Teruji},
TITLE = {Cobordisms, categories, quadratic forms},
}
@incollection {MR1106918,
AUTHOR = {Thomason, R. W. and Trobaugh, Thomas},
TITLE = {Higher algebraic {$K$}-theory of schemes and of derived
categories},
BOOKTITLE = {The Grothendieck Festschrift, Vol.\ III},
SERIES = {Progr. Math.},
VOLUME = {88},
PAGES = {247--435},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1990},
MRCLASS = {19E08 (14C35 19D10)},
MRNUMBER = {MR1106918 (92f:19001)},
MRREVIEWER = {Charles Weibel},
}
@article {MR668580,
AUTHOR = {Thomason, Robert W.},
TITLE = {First quadrant spectral sequences in algebraic {$K$}-theory
via homotopy colimits},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {10},
YEAR = {1982},
NUMBER = {15},
PAGES = {1589--1668},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {18F25 (55P47)},
MRNUMBER = {668580 (83k:18006)},
MRREVIEWER = {J. P. May},
DOI = {10.1080/00927878208822794},
URL = {http://dx.doi.org/10.1080/00927878208822794},
}
@article {MR0200927,
AUTHOR = {Thomeier, Siegfried},
TITLE = {Einige {E}rgebnisse \"uber {H}omotopiegruppen von {S}ph\"aren},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {164},
YEAR = {1966},
PAGES = {225--250},
ISSN = {0025-5831},
MRCLASS = {55.45},
MRNUMBER = {MR0200927 (34 \#813)},
MRREVIEWER = {M. A. Kervaire},
}
@book {MR0128562,
AUTHOR = {Thompson, D'Arcy Wentworth},
TITLE = {On growth and form},
PUBLISHER = {Cambridge University Press},
YEAR = {1942},
}
@book {MR528129,
AUTHOR = {Thorpe, John A.},
TITLE = {Elementary topics in differential geometry},
NOTE = {Undergraduate Texts in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xiii+253},
ISBN = {0-387-90357-7},
MRCLASS = {53-01},
MRNUMBER = {MR528129 (80e:53001)},
MRREVIEWER = {Vladislav Goldberg},
}
@article {MR0033514,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Old and new results on knots},
JOURNAL = {Canadian J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {2},
YEAR = {1950},
PAGES = {1--15},
ISSN = {0008-414X},
MRCLASS = {56.0X},
MRNUMBER = {MR0033514 (11,450c)},
MRREVIEWER = {R. H. Fox},
}
@book {MR575168,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Seifert and {T}hrelfall: a textbook of topology},
SERIES = {Pure and Applied Mathematics},
VOLUME = {89},
NOTE = {Translated from the German edition of 1934 by Michael A.
Goldman,
With a preface by Joan S. Birman,
With ``Topology of $3$-dimensional fibered spaces'' by Seifert,
Translated from the German by Wolfgang Heil},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1980},
PAGES = {xvi+437},
ISBN = {0-12-634850-2},
MRCLASS = {55-02 (57N12)},
MRNUMBER = {MR575168 (82b:55001)},
MRREVIEWER = {Ross Geoghegan},
}
@book {MR575168org,
AUTHOR = {Seifert, H. and Threlfall, William},
TITLE = {Lehrbuch der Topologie},
PUBLISHER = {Teubner},
ADDRESS = {Leipzig},
YEAR = {1934},
}
@article {MR0402764,
AUTHOR = {Thurston, W. P.},
TITLE = {Some simple examples of symplectic manifolds},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {55},
YEAR = {1976},
NUMBER = {2},
PAGES = {467--468},
ISSN = {0002-9939},
MRCLASS = {57D15},
MRNUMBER = {0402764 (53 \#6578)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article{39.0720.05,
author="Tietze, H.",
title="{\"Uber die topologischen Invarianten mehrdimensionaler
Mannigfaltigkeiten.}",
language="German",
year="1908",
abstract="{Referat auf S. 171-174 dieses Bandes.}",
}
@article{54.0601.02,
author="Tietze, H.",
title="{Zur Topologie berandeter Mannigfaltigkeiten.}",
language="German",
journal="Monatshefte f. Math. ",
volume="35",
pages="25-44",
year="1928",
doi={10.1007/BF01707425},
abstract="{Wenn man in der kombinatorischen Topologie bei Zellen gleicher
Dimension (i') unterscheidet zwischen ``mittleren Zellen'' $(x_i^\nu)$ und
``Randzellen'' $(r_i^\nu)$ und dementsprechend von den Matrizen der {\it
Poincar\'e}schen Berandungsrelationen die nur auf mittlere Zellen und die
nur auf Randzellen bez\"uglichen Teile abspaltet und f\"ur sich betrachtet,
so ergibt sich (bei endlich viel Zellen) da\ss\ auch die aus diesen
Teilmatrizen, entsprechend den {\it Betti}schen Zahlen und Torsionszahlen
abgeleiteten Zahlen
$N_\nu^{(x)},N_\nu^{(r)},\Theta_\nu^{(x)},\Theta_\nu^{(r)}$
Zellteilungsinvariante sind. \par Das Beispiel des M\"obiusschen Bandes
zeigt, da\ss\ Mannigfaltigkeiten ohne {\it Poincar\'e}sche Torsionszahlen
doch von 1 verschiedene Zahlen $\Theta_\nu^{(x)}$ haben k\"onnen.}",
reviewer="{K\"unneth, H.; Dr. (Erlangen)}",
}
@book {MR1632779,
AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
Tignol, Jean-Pierre},
TITLE = {The book of involutions},
SERIES = {American Mathematical Society Colloquium Publications},
VOLUME = {44},
NOTE = {With a preface in French by J. Tits},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xxii+593},
ISBN = {0-8218-0904-0},
MRCLASS = {16K20 (11E39 11E57 11E72 11E88 16W10 20G10)},
MRNUMBER = {MR1632779 (2000a:16031)},
MRREVIEWER = {A. R. Wadsworth},
}
@article {MR1874540,
AUTHOR = {Cortella, Anne and Tignol, Jean-Pierre},
TITLE = {The asymmetry of an anti-automorphism},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {2-3},
PAGES = {175--193},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16K20 (11E39)},
MRNUMBER = {MR1874540 (2002k:16032)},
MRREVIEWER = {Thomas P. Unger},
}
@proceedings {MR2080196,
TITLE = {Topology, geometry and quantum field theory},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {308},
BOOKTITLE = {Proceedings of the symposium in honour of the 60th birthday of
{G}raeme {S}egal held in {O}xford, {J}une 24--29, 2002},
AUTHOR = {Tillmann, Ulrike},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {xii+577},
ISBN = {0-521-54049-6},
MRCLASS = {00B30 (19-06 55-06 58-06 81-06)},
MRNUMBER = {2080196 (2005b:00034)},
DOI = {10.1017/CBO9780511526398},
URL = {http://dx.doi.org/10.1017/CBO9780511526398},
}
@article {MR2506750,
AUTHOR = {Galatius, S{\o}ren and Tillmann, Ulrike and Madsen, Ib and
Weiss, Michael},
TITLE = {The homotopy type of the cobordism category},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {202},
YEAR = {2009},
NUMBER = {2},
PAGES = {195--239},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {55Pxx (55Nxx)},
MRNUMBER = {MR2506750},
DOI = {10.1007/s11511-009-0036-9},
URL = {http://dx.doi.org/10.1007/s11511-009-0036-9},
}
@article{guilbault_spherical_2011,
title = {Spherical alterations of handles: embedding the manifold plus construction},
shorttitle = {Spherical alterations of handles},
url = {http://arxiv.org/abs/1108.5166},
abstract = {A key tool in our earlier work on ends of manifolds high-dimensional manifolds was an ability to embed cobordisms provided by the Quillen Plus Construction into those ends. Here we develop a `spherical modification' trick which provides a constructive approach to obtaining such embeddings. More importantly, this approach allows for more general embedding results. In this paper we develop generalizations of the plus construction and show how the corresponding cobordisms can be embedded in manifolds satisfying appropriate fundamental group properties. Results obtained here play an important role in our ongoing study of noncompact manifolds.},
journal = {1108.5166},
author = {Guilbault, Craig R and Tinsley, Frederick C},
month = aug,
year = {2011},
keywords = {{57N15}, {57Q12}, {57R65}, {57Q10}, Mathematics - Geometric Topology},
}
@article {MR0230747,
AUTHOR = {Tits, J.},
TITLE = {Formes quadratiques, groupes orthogonaux et alg\`ebres de
{C}lifford},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {5},
YEAR = {1968},
PAGES = {19--41},
ISSN = {0020-9910},
MRCLASS = {15.70 (15.75)},
MRNUMBER = {MR0230747 (37 \#6307)},
MRREVIEWER = {S. B{\"o}ge},
}
@book {MR0143217,
AUTHOR = {Toda, Hirosi},
TITLE = {Composition methods in homotopy groups of spheres},
SERIES = {Annals of Mathematics Studies, No. 49},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1962},
PAGES = {v+193},
MRCLASS = {55.45},
MRNUMBER = {0143217 (26 \#777)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0230311,
AUTHOR = {Toda, Hirosi},
TITLE = {Extended {$p$}-th powers of complexes and applications to
homotopy theory},
JOURNAL = {Proc. Japan Acad.},
FJOURNAL = {Proceedings of the Japan Academy},
VOLUME = {44},
YEAR = {1968},
PAGES = {198--203},
ISSN = {0021-4280},
MRCLASS = {55.40},
MRNUMBER = {0230311 (37 \#5873)},
MRREVIEWER = {P. S. Green},
}
@article {MR0000501,
AUTHOR = {Todd, J. A.},
TITLE = {The geometrical invariants of algebraic loci},
JOURNAL = {Proc. London Math. Soc.},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {43},
YEAR = {1937},
PAGES = {127--138},
}
@article {MR0000502,
AUTHOR = {Todd, J. A.},
TITLE = {The geometrical invariants of algebraic loci. ({S}econd
paper.)},
JOURNAL = {Proc. London Math. Soc.},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {45},
YEAR = {1939},
PAGES = {410--424},
ISSN = {0024-6115},
MRCLASS = {14.0X},
MRNUMBER = {MR0000502 (1,84a)},
MRREVIEWER = {T. R. Hollcroft},
}
@article {MR0312515,
AUTHOR = {Halperin, Stephen and Toledo, Domingo},
TITLE = {Stiefel-{W}hitney homology classes},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {96},
YEAR = {1972},
PAGES = {511--525},
ISSN = {0003-486X},
MRCLASS = {57D20},
MRNUMBER = {0312515 (47 \#1072)},
MRREVIEWER = {J. P. Levine},
}
@article {MR0198473,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {On flat bundles},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {72},
YEAR = {1966},
PAGES = {846--849},
ISSN = {0002-9904},
MRCLASS = {55.50},
MRNUMBER = {0198473 (33 \#6631)},
MRREVIEWER = {R. Brown},
}
@article {MR0220309,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {Flat bundles and characteristic classes of
group-representations},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {89},
YEAR = {1967},
PAGES = {857--886},
ISSN = {0002-9327},
MRCLASS = {57.30},
MRNUMBER = {0220309 (36 \#3374)},
MRREVIEWER = {K. H. Mayer},
}
@article {MR0334237,
AUTHOR = {Kamber, F. W. and Tondeur, Ph.},
TITLE = {Characteristic invariants of foliated bundles},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {11},
YEAR = {1974},
PAGES = {51--89},
ISSN = {0025-2611},
MRCLASS = {57D30},
MRNUMBER = {0334237 (48 \#12556)},
MRREVIEWER = {H. Suzuki},
}
@book {MR1454127,
AUTHOR = {Madsen, Ib and Tornehave, J{\o}rgen},
TITLE = {From calculus to cohomology},
NOTE = {de Rham cohomology and characteristic classes},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1997},
PAGES = {viii+286},
ISBN = {0-521-58059-5; 0-521-58956-8},
MRCLASS = {57R19 (57R20 57R22 57R25 58A12)},
MRNUMBER = {1454127 (98g:57040)},
MRREVIEWER = {Mark V. Losik},
}
@article {MR0052104,
AUTHOR = {Torres, Guillermo},
TITLE = {On the {A}lexander polynomial},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {57},
YEAR = {1953},
PAGES = {57--89},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {0052104 (14,574a)},
MRREVIEWER = {R. H. Fox},
}
@article {MR1990223,
AUTHOR = {Totaro, Burt},
TITLE = {Non-injectivity of the map from the {W}itt group of a variety
to the {W}itt group of its function field},
JOURNAL = {J. Inst. Math. Jussieu},
FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
Journal de l'Institute de Math\'ematiques de Jussieu},
VOLUME = {2},
YEAR = {2003},
NUMBER = {3},
PAGES = {483--493},
ISSN = {1474-7480},
MRCLASS = {19G12 (19E15)},
MRNUMBER = {MR1990223 (2004f:19010)},
MRREVIEWER = {Charles Weibel},
DOI = {10.1017/S1474748003000136},
URL = {http://dx.doi.org/10.1017/S1474748003000136},
}
@article {traving,
AUTHOR = {Traving, Claudia},
TITLE = {Klassifikation vollstaendiger Durchschnitte},
YEAR = {1985},
NOTES = {Mainz diploma thesis},
}
@article {MR0248854,
AUTHOR = {Tristram, A. G.},
TITLE = {Some cobordism invariants for links},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {66},
YEAR = {1969},
PAGES = {251--264},
MRCLASS = {57.01 (55.00)},
MRNUMBER = {MR0248854 (40 \#2104)},
MRREVIEWER = {H. E. Debrunner},
}
@incollection {MR1106918,
AUTHOR = {Thomason, R. W. and Trobaugh, Thomas},
TITLE = {Higher algebraic {$K$}-theory of schemes and of derived
categories},
BOOKTITLE = {The Grothendieck Festschrift, Vol.\ III},
SERIES = {Progr. Math.},
VOLUME = {88},
PAGES = {247--435},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Boston, MA},
YEAR = {1990},
MRCLASS = {19E08 (14C35 19D10)},
MRNUMBER = {MR1106918 (92f:19001)},
MRREVIEWER = {Charles Weibel},
}
@article {MR0143201,
AUTHOR = {Trotter, H. F.},
TITLE = {Homology of group systems with applications to knot theory},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {76},
YEAR = {1962},
PAGES = {464--498},
MRCLASS = {55.20},
MRNUMBER = {MR0143201 (26 \#761)},
MRREVIEWER = {R. H. Fox},
}
@incollection {MR0258015,
AUTHOR = {Trotter, H. F.},
TITLE = {Computations in knot theory},
BOOKTITLE = {Computational Problems in Abstract Algebra (Proc. Conf.,
Oxford, 1967) },
PAGES = {359--364},
PUBLISHER = {Pergamon},
ADDRESS = {Oxford},
YEAR = {1970},
MRCLASS = {55.20},
MRNUMBER = {MR0258015 (41 \#2662)},
MRREVIEWER = {H. E. Debrunner},
}
@article {MR0645546,
AUTHOR = {Trotter, H. F.},
TITLE = {On {$S$}-equivalence of {S}eifert matrices},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {20},
YEAR = {1973},
PAGES = {173--207},
ISSN = {0020-9910},
MRCLASS = {57C45 (15A36)},
MRNUMBER = {MR0645546 (58 \#31100)},
}
@article {MR549082,
AUTHOR = {L{\^e} D ung Tr{\'a}ng and Perron, Bernard},
TITLE = {Sur la fibre de {M}ilnor d'une singularit\'e isol\'ee en
dimension complexe trois},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des
Sciences. S\'eries A et B},
VOLUME = {289},
YEAR = {1979},
NUMBER = {2},
PAGES = {A115--A118},
ISSN = {0151-0509},
CODEN = {CHASAP},
MRCLASS = {32B30 (14J17)},
MRNUMBER = {549082 (80k:32009)},
MRREVIEWER = {Peter Giblin},
}
@article {MR1097689,
AUTHOR = {L{\^e} D{\~u}ng Tr{\'a}ng and Michel, Francoise and
Weber, Claude},
TITLE = {Courbes polaires et topologie des courbes planes},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {24},
YEAR = {1991},
NUMBER = {2},
PAGES = {141--169},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {32S55},
MRNUMBER = {1097689 (92b:32043)},
MRREVIEWER = {Tom{\'a}s S{\'a}nchez-Giralda},
URL = {http://www.numdam.org/item?id=ASENS_1991_4_24_2_141_0},
}
@article {MR2477589,
AUTHOR = {Hebda, James J. and Tsau, Chichen M.},
TITLE = {Normal holonomy and writhing number of smooth knots},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {17},
YEAR = {2008},
NUMBER = {12},
PAGES = {1483--1509},
ISSN = {0218-2165},
MRCLASS = {57M27 (53C29 57M25)},
MRNUMBER = {2477589 (2009k:57018)},
DOI = {10.1142/S0218216508006737},
URL = {http://dx.doi.org/10.1142/S0218216508006737},
}
@book{botttu,
AUTHOR={Bott, Raoul and Tu, Loring W.},
TITLE={Differential forms in algebraic topology},
}
@article {MR2794359,
AUTHOR = {Gross, Jonathan L. and Tucker, Thomas W.},
TITLE = {A {C}eltic framework for knots and links},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {46},
YEAR = {2011},
NUMBER = {1},
PAGES = {86--99},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {57M25},
MRNUMBER = {2794359},
DOI = {10.1007/s00454-010-9257-0},
URL = {http://dx.doi.org/10.1007/s00454-010-9257-0},
}
@book {MR898434,
AUTHOR = {Gross, Jonathan L. and Tucker, Thomas W.},
TITLE = {Topological graph theory},
SERIES = {Wiley-Interscience Series in Discrete Mathematics and
Optimization},
NOTE = {A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1987},
PAGES = {xvi+351},
ISBN = {0-471-04926-3},
MRCLASS = {05C10 (20F32 57M15)},
MRNUMBER = {898434 (88h:05034)},
MRREVIEWER = {Saul Stahl},
}
@article {MR199801?,
AUTHOR = {Tuffley, Christopher},
TITLE = {Finite subset spaces of {$S\sp 1$}},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {2},
YEAR = {2002},
PAGES = {1119--1145 (electronic)},
ISSN = {1472-2747},
MRCLASS = {54B20 (55Q52 55R80 57M25)},
MRNUMBER = {MR1998017 (2004f:54008)},
MRREVIEWER = {Jacob Mostovoy},
}
@article {MR2012957,
AUTHOR = {Tuffley, Christopher},
TITLE = {Finite subset spaces of graphs and punctured surfaces},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {3},
YEAR = {2003},
PAGES = {873--904 (electronic)},
ISSN = {1472-2747},
MRCLASS = {55R80 (05C10 55Q52)},
MRNUMBER = {MR2012957 (2004i:55023)},
MRREVIEWER = {Alberto Cavicchioli},
}
@article {MR1015042,
AUTHOR = {Turaev, V. G.},
TITLE = {Three-dimensional {P}oincar\'e complexes: homotopy
classification and splitting},
JOURNAL = {Mat. Sb.},
FJOURNAL = {Matematicheski\u\i\ Sbornik},
VOLUME = {180},
YEAR = {1989},
NUMBER = {6},
PAGES = {809--830},
ISSN = {0368-8666},
MRCLASS = {57R10 (55P15 57N10)},
MRNUMBER = {1015042 (91c:57031)},
MRREVIEWER = {Du{\v{s}}an Repov{\v{s}}},
}
@book {MR1292673,
AUTHOR = {Turaev, V. G.},
TITLE = {Quantum invariants of knots and 3-manifolds},
SERIES = {de Gruyter Studies in Mathematics},
VOLUME = {18},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {x+588},
ISBN = {3-11-013704-6},
MRCLASS = {57M25 (16W30 17B37 57N10 81R50)},
MRNUMBER = {MR1292673 (95k:57014)},
MRREVIEWER = {Louis H. Kauffman},
}
@article {MR1631103,
AUTHOR = {Turaev, V. G.},
TITLE = {Reciprocity for {G}auss sums on finite abelian groups},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {124},
YEAR = {1998},
NUMBER = {2},
PAGES = {205--214},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {11L05 (11E39)},
MRNUMBER = {MR1631103 (99f:11103)},
MRREVIEWER = {Charles Helou},
}
@article {MR1748274,
AUTHOR = {Farber, Michael and Turaev, V. G.},
TITLE = {Poincar\'e-{R}eidemeister metric, {E}uler structures, and
torsion},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {520},
YEAR = {2000},
PAGES = {195--225},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {58J52 (57R20)},
MRNUMBER = {MR1748274 (2001m:58069)},
MRREVIEWER = {Yi-Jen Lee},
DOI = {10.1515/crll.2000.021},
URL = {http://dx.doi.org/10.1515/crll.2000.021},
}
@book {MR1958479,
AUTHOR = {Turaev, V. G.},
TITLE = {Torsions of {$3$}-dimensional manifolds},
SERIES = {Progress in Mathematics},
VOLUME = {208},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2002},
PAGES = {x+196},
ISBN = {3-7643-6911-6},
MRCLASS = {57M25 (55N25 57M27 57N10 57R15 57R19 57R57)},
MRNUMBER = {1958479 (2003m:57028)},
MRREVIEWER = {Liviu I. Nicolaescu},
}
@article {MR739088,
AUTHOR = {Turaev, V. G.},
TITLE = {A cocycle of the symplectic first {C}hern class and {M}aslov
indices},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego
Prilozheniya},
VOLUME = {18},
YEAR = {1984},
NUMBER = {1},
PAGES = {43--48},
ISSN = {0374-1990},
MRCLASS = {58G37 (18G10 53C15 57R20 58G15)},
MRNUMBER = {MR739088 (85m:58191)},
MRREVIEWER = {David Gurarie},
}
@article {MR806563,
AUTHOR = {Turaev, V. G.},
TITLE = {The first symplectic {C}hern class and {M}aslov indices},
NOTE = {Studies in topology, V},
JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
(LOMI)},
FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk
SSSR (LOMI)},
VOLUME = {143},
YEAR = {1985},
PAGES = {110--129, 178},
ISSN = {0373-2703},
MRCLASS = {58F05 (57R20 58G15)},
MRNUMBER = {MR806563 (86m:58059)},
MRREVIEWER = {I. Vaisman},
}
@article {MR832411,
AUTHOR = {Turaev, V. G.},
TITLE = {Reidemeister torsion in knot theory},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {1(247)},
PAGES = {97--147, 240},
ISSN = {0042-1316},
MRCLASS = {57M25 (55U15 57Q10 57Q45)},
MRNUMBER = {MR832411 (87i:57009)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
}
@article {MR2178795,
AUTHOR = {Ue, Masaaki},
TITLE = {The {N}eumann-{S}iebenmann invariant and {S}eifert surgery},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {250},
YEAR = {2005},
NUMBER = {2},
PAGES = {475--493},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57M27 (57N10 57N13 57R15 57R65 57R80)},
MRNUMBER = {2178795 (2006j:57034)},
MRREVIEWER = {Rostislav Matveyev},
DOI = {10.1007/s00209-005-0764-2},
URL = {http://dx.doi.org/10.1007/s00209-005-0764-2},
}
@article{astier_signatures_2010,
title = {Signatures of hermitian forms},
url = {http://arxiv.org/abs/1003.0956},
abstract = {Signatures of quadratic forms have been generalized to hermitian forms over algebras with involution. In the literature this is done via Morita theory, which causes sign ambiguities in certain cases. The main result of this paper consists of a method for resolving this problem, using properties of the underlying algebra with involution.},
journal = {1003.0956},
author = {Vincent Astier and Thomas Unger},
month = mar,
year = {2010},
keywords = {{16K20,} {11E39,} {13J30,} Mathematics - Rings and Algebras},
}
@article{vaillant_index_2008,
title = {Index Theory for Coverings},
url = {http://arxiv.org/abs/0806.4043},
abstract = {We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends with a group of deck transformations {\${\textbackslash}Gamma\$.} We prove the {\${\textbackslash}Gamma\$-analogue} of the {Atiyah-Patodi-Singer} formula for Dirac operators on such coverings.},
journal = {0806.4043},
author = {Boris Vaillant},
month = jun,
year = {2008},
keywords = {{58Gxx,} Mathematics - Differential Geometry, Mathematics - Spectral Theory},
}
@article{retakh_noncommutative_2000,
title = {Noncommutative Rational Functions and Farber's Invariants of Boundary Links},
url = {http://arxiv.org/abs/math/0004112},
abstract = {In [2] M. Farber constructed invariants of m-component boundary links with values in algebra of noncommutative rational functions. In this paper we simplify his constructions and express them by using noncommutative generalizations of determinants introduced by Gelfand and Retakh. In particular, for every finite-dimensional module N over the algebra of noncommutative polynomials of m variables we construct a characteristic rational power series {chi(N).} If N is an algebraically closed field of arbitrary characteristic and N is semisimple, the series {chi(N)} determines N.},
journal = {math/0004112},
author = {Vladimir Retakh and Christophe Reutenauer and Arkady Vaintrob},
month = apr,
year = {2000},
note = {Amer. Math. Soc. Transl. (2) Vol. 194, 1999},
keywords = {{16W30,} {57M25,} {68Q70,} Mathematics - Geometric Topology, Mathematics - Quantum Algebra},
}
@article {MR2426127,
AUTHOR = {Vajiac, Bogdan},
TITLE = {Realization theorems for end obstructions},
JOURNAL = {Homology, Homotopy Appl.},
FJOURNAL = {Homology, Homotopy and Applications},
VOLUME = {10},
YEAR = {2008},
NUMBER = {2},
PAGES = {1--12},
ISSN = {1532-0073},
MRCLASS = {57Q10 (57N80 57Q20 57Q40)},
MRNUMBER = {MR2426127 (2009g:57035)},
MRREVIEWER = {Alberto Cavicchioli},
}
@article {MR2507598,
AUTHOR = {Vajiac, Bogdan},
TITLE = {{$h$}-cobordisms and mapping cylinder obstructions},
JOURNAL = {J. Aust. Math. Soc.},
FJOURNAL = {Journal of the Australian Mathematical Society},
VOLUME = {86},
YEAR = {2009},
NUMBER = {2},
PAGES = {249--278},
ISSN = {1446-7887},
MRCLASS = {57Q10 (57N40 57N80 57Q20 57Q40)},
MRNUMBER = {MR2507598 (2010f:57026)},
MRREVIEWER = {C. Bruce Hughes},
DOI = {10.1017/S1446788708000487},
URL = {http://dx.doi.org/10.1017/S1446788708000487},
}
@article {MR1744654,
AUTHOR = {Haghany, A. and Varadarajan, K.},
TITLE = {Study of modules over formal triangular matrix rings},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {147},
YEAR = {2000},
NUMBER = {1},
PAGES = {41--58},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {16D90 (16S50)},
MRNUMBER = {MR1744654 (2000k:16004)},
MRREVIEWER = {Jeremy Haefner},
}
@book {MR777682,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {I}},
SERIES = {Monographs in Mathematics},
VOLUME = {82},
NOTE = {The classification of critical points, caustics and wave
fronts,
Translated from the Russian by Ian Porteous and Mark Reynolds},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1985},
PAGES = {xi+382},
ISBN = {0-8176-3187-9},
MRCLASS = {58C27},
MRNUMBER = {777682 (86f:58018)},
}
@book {MR966191,
AUTHOR = {Arnold, V. I. and Guse{\u\i}n-Zade, S. M. and
Varchenko, A. N.},
TITLE = {Singularities of differentiable maps. {V}ol. {II}},
SERIES = {Monographs in Mathematics},
VOLUME = {83},
NOTE = {Monodromy and asymptotics of integrals,
Translated from the Russian by Hugh Porteous,
Translation revised by the authors and James Montaldi},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1988},
PAGES = {viii+492},
ISBN = {0-8176-3185-2},
MRCLASS = {58C27 (32B30 32C40 32G11)},
MRNUMBER = {966191 (89g:58024)},
}
@article{cot,
title = {Notes on Cochran-Orr-Teichner},
author = {Marco Varisco},
}
@article{math.AT/0302116,
title = {{Commuting homotopy limits and smash products}},
author = {Wolfgang L{\"u}ck and Holger Reich and Marco Varisco},
howpublished = {K-Theory, 30 (2): 137--165, 2003},
}
@article {varisco,
AUTHOR = {Varisco, Marco},
TITLE = {Thesis},
YEAR = {2006},
}
@article {MR0208602,
AUTHOR = {Kervaire, M. and Vasquez, A.},
TITLE = {Simple-connectivity and the {B}rowder-{N}ovikov theorem},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {126},
YEAR = {1967},
PAGES = {508--513},
ISSN = {0002-9947},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0208602 (34 \#8411)},
MRREVIEWER = {E. H. Brown},
}
@book {MR1816237,
AUTHOR = {Vassiliev, V. A.},
TITLE = {Introduction to topology},
SERIES = {Student Mathematical Library},
VOLUME = {14},
NOTE = {Translated from the 1997 Russian original by A. Sossinski},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xiv+149},
ISBN = {0-8218-2162-8},
MRCLASS = {55-02 (57-02)},
MRNUMBER = {1816237 (2001j:55001)},
}
@article {MR1748312,
AUTHOR = {Bailly, C. and Vdovina, Alina},
TITLE = {Sous-espaces d\'eterminant l'invariant de {A}rf et un
th\'eor\`eme de {R}ohlin sur la signature},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
Math\'ematique},
VOLUME = {330},
YEAR = {2000},
NUMBER = {3},
PAGES = {221--223},
ISSN = {0764-4442},
CODEN = {CASMEI},
MRCLASS = {11E81 (57R20)},
MRNUMBER = {1748312 (2001k:11066)},
MRREVIEWER = {Florian L. Deloup},
DOI = {10.1016/S0764-4442(00)00102-6},
URL = {http://dx.doi.org/10.1016/S0764-4442(00)00102-6},
}
@book{0005.21801,
author="Veblen, Oswald and Whitehead, J. H. C.",
title="{The foundations of differential geometry.}",
language="English",
publisher="{(Cambridge Tracts in Math. a. Math. Phys. 29) London: Cambridge
Univ. Press. IX, 97 S. }",
year="1932",
keywords="{geometry}",
}
@book {MR749574,
AUTHOR = {Barth, W. and Peters, C. and Van de Ven, A.},
TITLE = {Compact complex surfaces},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results
in Mathematics and Related Areas (3)]},
VOLUME = {4},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {x+304},
ISBN = {3-540-12172-2},
MRCLASS = {32Jxx (14Jxx)},
MRNUMBER = {MR749574 (86c:32026)},
MRREVIEWER = {I. Dolgachev},
}
@book {MR2561389,
AUTHOR = {Daverman, Robert J. and Venema, Gerard A.},
TITLE = {Embeddings in manifolds},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {106},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2009},
PAGES = {xviii+468},
ISBN = {978-0-8218-3697-2},
MRCLASS = {57N35 (57M30 57N30 57N37 57N45 57N50 57Q35 57Q37 57Q45)},
MRNUMBER = {2561389 (2011g:57025)},
MRREVIEWER = {Sergey A. Melikhov},
}
@incollection {MR0267576,
AUTHOR = {Verdier, J.-L.},
TITLE = {On a theorem of {W}ilder},
BOOKTITLE = {Applications of {C}ategorical {A}lgebra ({P}roc. {S}ympos.
{P}ure {M}ath., {V}ol. {XVII}, {N}ew {Y}ork, 1968)},
PAGES = {184--191},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1970},
MRCLASS = {55.30},
MRNUMBER = {MR0267576 (42 \#2478)},
MRREVIEWER = {S. Y. Husseini},
}
@article {MR1453167,
AUTHOR = {Verdier, J.-L.},
TITLE = {Des cat\'egories d\'eriv\'ees des cat\'egories ab\'eliennes},
NOTE = {With a preface by Luc Illusie,
Edited and with a note by Georges Maltsiniotis},
JOURNAL = {Ast\'erisque},
FJOURNAL = {Ast\'erisque},
NUMBER = {239},
YEAR = {1996},
PAGES = {xii+253 pp. (1997)},
ISSN = {0303-1179},
MRCLASS = {18E30 (18-03 18E35)},
MRNUMBER = {1453167 (98c:18007)},
MRREVIEWER = {Amnon Neeman},
}
@article {MR1415319,
AUTHOR = {Brion, Michel and Vergne, Mich{\`e}le},
TITLE = {Lattice points in simple polytopes},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {10},
YEAR = {1997},
NUMBER = {2},
PAGES = {371--392},
ISSN = {0894-0347},
MRCLASS = {11P21 (11H06 14M25)},
MRNUMBER = {MR1415319 (98a:11132)},
MRREVIEWER = {Hartmut Menzer},
}
@book {MR2273508,
AUTHOR = {Berline, Nicole and Getzler, Ezra and Vergne, Mich{\`e}le},
TITLE = {Heat kernels and {D}irac operators},
SERIES = {Grundlehren Text Editions},
NOTE = {Corrected reprint of the 1992 original},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2004},
PAGES = {x+363},
ISBN = {3-540-20062-2},
MRCLASS = {58J35 (35K05 35Q40 47G30 58J60)},
MRNUMBER = {MR2273508 (2007m:58033)},
}
@book {MR573448,
AUTHOR = {Lion, G{\'e}rard and Vergne, Mich{\`e}le},
TITLE = {The {W}eil representation, {M}aslov index and theta series},
SERIES = {Progress in Mathematics},
VOLUME = {6},
PUBLISHER = {Birkh\"auser Boston},
ADDRESS = {Mass.},
YEAR = {1980},
PAGES = {vi+337},
ISBN = {3-7643-3007-4},
MRCLASS = {58G15 (10D20 14K25 22D10 81D05)},
MRNUMBER = {MR573448 (81j:58075)},
MRREVIEWER = {A. Crumeyrolle},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@article {MR0402786,
AUTHOR = {Alexander, J. P. and Hamrick, G. C. and Vick, J. W.},
TITLE = {Linking forms and maps of odd prime order},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {221},
YEAR = {1976},
NUMBER = {1},
PAGES = {169--185},
ISSN = {0002-9947},
MRCLASS = {57E15 (57D85)},
MRNUMBER = {MR0402786 (53 \#6600)},
MRREVIEWER = {R. E. Stong},
}
@article{friedl_survey_2009,
title = {A survey of twisted Alexander polynomials},
url = {http://arxiv.org/abs/0905.0591},
abstract = {We give a short introduction to the theory of twisted Alexander polynomials of a 3--manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems. We conclude with a short summary of the theory of higher order Alexander polynomials.},
journal = {0905.0591},
author = {Stefan Friedl and Stefano Vidussi},
month = may,
year = {2009},
keywords = {{57M27,} {57M25,} Mathematics - Geometric Topology},
}
@article{friedl_twisted_2008,
title = {Twisted Alexander polynomials detect fibered 3-manifolds},
url = {http://arxiv.org/abs/0805.1234},
abstract = {A classical result in knot theory says that the Alexander polynomial of a fibered knot is monic and that its degree equals twice the genus of the knot. This result has been generalized by various authors to twisted Alexander polynomials and fibered 3-manifolds. In this paper we show that the conditions on twisted Alexander polynomials are not only necessary but also sufficient for a 3-manifold to be fibered. By previous work of the authors this result implies that if a manifold of the form S{\textasciicircum}1 x N{\textasciicircum}3 admits a symplectic structure, then N fibers over S{\textasciicircum}1. In fact we will completely determine the symplectic cone of S{\textasciicircum}1 x N in terms of the fibered faces of the Thurston norm ball of N.},
journal = {0805.1234},
author = {Stefan Friedl and Stefano Vidussi},
month = may,
year = {2008},
keywords = {{57M27,} Mathematics - Geometric Topology, Mathematics - Symplectic Geometry},
}
@article{friedl_twisted_2009,
title = {Twisted Alexander polynomials and fibered 3-manifolds},
url = {http://arxiv.org/abs/1001.0132},
abstract = {In a series of papers the authors proved that twisted Alexander polynomials detect fibered 3-manifolds, and they showed that this implies that a closed 3-manifold N is fibered if and only if S{\textasciicircum}1 x N is symplectic. In this note we summarize some of the key ideas of the proofs. We also give new evidence to the conjecture that if \$ is a symplectic 4-manifold with a free S{\textasciicircum}1-action, then the orbit space is fibered.},
journal = {1001.0132},
author = {Stefan Friedl and Stefano Vidussi},
month = dec,
year = {2009},
keywords = {{57M27,} Mathematics - Geometric Topology},
}
@article{54.0600.01,
author="Vietoris, L.",
title="{\"Uber die Symmetrie in den Zusammenhangszahlen kombinatorischer
Mannigfaltigkeiten.}",
language="German",
journal="Monatshefte f. Math. ",
volume="35",
pages="165-174",
year="1928",
doi={10.1007/BF01707437},
abstract="{Die Beweise der {\it Poincar\'e}schen Symmetrie- oder
Dualit\"atss\"atze f\"ur die Zusammenhangs-({\it Betti}schen und
Torsions-)Zahlen machen erhebliche Schwierigkeiten, die darin liegen, da\ss\
der {\it Poicar\'e}sche Begriff der ``Mannigfaltigkeit'' nicht rein
kombinatorisch ist, da in ihn der topologische, aber vorl\"aufig nicht
kombinatorisch zu fassende, Begriff der ``Sph\"are'' eingeht. In der
vorliegenden Arbeit wird auf rein kombinatorischem Wege ein
Mannigfaltigkeitsbegriff definiert, der f\"ur den Symmetriesatz den
nat\"urlichen Geltungsbereich zu liefern scheint und der weiter ist als der
{\it Poicar\'e}sche. Er wird rekursiv folgenderm\ss en eingef\"uhrt: ``Eine
$n$dimensionale $h$-Mannigfaltigkeit ist ein Komplex, in dem der
Umgebungskomplex jeder Ecke eine $(n-1)$-dimensionale $h$-Sph\"are ist. Die
nulldimensionale $h$Sph\"are ist das Punktepaar; eine $n$-dimensionale
$h$-Sph\"are ist eine (orientierte) $h$-Mannigfaltigkeit mit denselben
Zusammenhangszahlen wie die $n$-dimensionale Sph\"are.''}",
reviewer="{Hopf, H.; Prof. (Z\"urich)}",
}
@article {MR1512371,
AUTHOR = {Vietoris, L.},
TITLE = {\"{U}ber den h\"oheren {Z}usammenhang kompakter {R}\"aume und
eine {K}lasse von zusammenhangstreuen {A}bbildungen},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {97},
YEAR = {1927},
NUMBER = {1},
PAGES = {454--472},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512371},
}
@article {MR1512526,
AUTHOR = {Vietoris, L.},
TITLE = {Zum h\"oheren {Z}usammenhang der kompakten {R}\"aume},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {101},
YEAR = {1929},
NUMBER = {1},
PAGES = {219--225},
ISSN = {0025-5831},
CODEN = {MAANA},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1512526},
}
@article {MR1549783,
AUTHOR = {Vietoris, L.},
TITLE = {\"{U}ber die {H}omologiegruppen der {V}ereinigung zweier
{K}omplexe},
JOURNAL = {Monatsh. Math. Phys.},
FJOURNAL = {Monatshefte f\"ur Mathematik und Physik},
VOLUME = {37},
YEAR = {1930},
NUMBER = {1},
PAGES = {159--162},
ISSN = {0026-9255},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1549783},
}
@article {MR0370605,
AUTHOR = {Viro, O. Ya.},
TITLE = {Branched coverings of manifolds with boundary, and invariants
of links. {I}},
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
VOLUME = {37},
YEAR = {1973},
PAGES = {1241--1258},
ISSN = {0373-2436},
MRCLASS = {57C45},
MRNUMBER = {MR0370605 (51 \#6832)},
MRREVIEWER = {O. Krotenheerdt},
}
@book {MR2444949,
AUTHOR = {Viro, O. Ya. and Ivanov, O. A. and Netsvetaev, N. Yu. and
Kharlamov, V. M.},
TITLE = {Elementary topology},
NOTE = {Problem textbook},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2008},
PAGES = {xx+400},
ISBN = {978-0-8218-4506-6},
MRCLASS = {55-01 (54-01 57-01)},
MRNUMBER = {MR2444949},
}
@article {MR2542693,
AUTHOR = {Viro, O. Ya.},
TITLE = {Twisted acyclicity of a circle and signatures of a link},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {18},
YEAR = {2009},
NUMBER = {6},
PAGES = {729--755},
ISSN = {0218-2165},
MRCLASS = {57M27 (55N25 57M25 57Q45)},
MRNUMBER = {2542693},
MRREVIEWER = {Alexander I. Suciu},
DOI = {10.1142/S0218216509007142},
URL = {http://dx.doi.org/10.1142/S0218216509007142},
}
@article {MR771233,
AUTHOR = {Viro, O. Ya.},
TITLE = {The signature of a branched covering},
JOURNAL = {Mat. Zametki},
FJOURNAL = {Akademiya Nauk SSSR. Matematicheskie Zametki},
VOLUME = {36},
YEAR = {1984},
NUMBER = {4},
PAGES = {549--557},
ISSN = {0025-567X},
MRCLASS = {57M12 (57R20)},
MRNUMBER = {MR771233 (87d:57004)},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
}
@article {MR854242,
AUTHOR = {Arnol{\cprime}d, V. I. and Vershik, A. M. and Viro, O. Ya. and
Kolmogorov, A. N. and Novikov, S. P. and Sina{\u\i}, Ya. G.
and Fuks, D. B.},
TITLE = {Vladimir {A}bramovich {R}okhlin},
JOURNAL = {Uspekhi Mat. Nauk},
FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
Uspekhi Matematicheskikh Nauk},
VOLUME = {41},
YEAR = {1986},
NUMBER = {3(249)},
PAGES = {159--163},
ISSN = {0042-1316},
MRCLASS = {01A70},
MRNUMBER = {MR854242 (87k:01047)},
}
@incollection {MR970085,
AUTHOR = {Kharlamov, V. M. and Viro, O. Ya.},
TITLE = {Extensions of the {G}udkov-{R}ohlin congruence},
BOOKTITLE = {Topology and geometry---{R}ohlin {S}eminar},
SERIES = {Lecture Notes in Math.},
VOLUME = {1346},
PAGES = {357--406},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1988},
MRCLASS = {14G30 (57R10)},
MRNUMBER = {970085 (90a:14030)},
MRREVIEWER = {Robert Silhol},
DOI = {10.1007/BFb0082784},
URL = {http://dx.doi.org/10.1007/BFb0082784},
}
@article{marks_ring_2012,
title = {From ring epimorphisms to universal localisations},
url = {http://arxiv.org/abs/1207.4669},
abstract = {For a fixed ring, different classes of ring epimorphisms and localisation maps are compared. In fact, we provide sufficient conditions for a ring epimorphism to be a universal localisation. Furthermore, we consider recollements induced by some homological ring epimorphisms and investigate whether they yield recollements of derived module categories.},
urldate = {2013-05-10},
journal = {{arXiv:1207.4669}},
author = {Marks, Frederik and Vitoria, Jorge},
month = jul,
year = {2012},
keywords = {{16E35}, {16S85}, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article {MR0372878,
AUTHOR = {Vogel, Pierre},
TITLE = {Cobordisme d'immersions},
JOURNAL = {Ann. Sci. /'Ecole Norm. Sup. (4)},
VOLUME = {7},
YEAR = {1974},
PAGES = {317--357 (1975)},
MRCLASS = {57D40 (55B35 57D90)},
MRNUMBER = {MR0372878 (51 /#9082)},
MRREVIEWER = {K. Lamotke},
}
@article {MR0377939,
AUTHOR = {Barge, Jean and Lannes, Jean and Latour, Fran{\c{c}}ois and
Vogel, Pierre},
TITLE = {{$\Lambda $}-sph\`eres},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {7},
YEAR = {1974},
PAGES = {463--505 (1975)},
ISSN = {0012-9593},
MRCLASS = {57D80},
MRNUMBER = {MR0377939 (51 \#14108)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR1036132,
AUTHOR = {Vogel, Pierre},
TITLE = {Representation of links by braids: a new algorithm},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {65},
YEAR = {1990},
NUMBER = {1},
PAGES = {104--113},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57M25},
MRNUMBER = {MR1036132 (90k:57013)},
MRREVIEWER = {Hugh Reynolds Morton},
}
@article {MR1151322,
AUTHOR = {Farber, Michael and Vogel, Pierre},
TITLE = {The {C}ohn localization of the free group ring},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {111},
YEAR = {1992},
NUMBER = {3},
PAGES = {433--443},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {16S34 (16U99)},
MRNUMBER = {MR1151322 (93b:16049)},
MRREVIEWER = {Wolfgang Gr{\"o}lz},
}
@book {MR1238937,
AUTHOR = {Hausmann, J. C. and Vogel, Pierre},
TITLE = {Geometry on {P}oincar\'e spaces},
SERIES = {Mathematical Notes},
VOLUME = {41},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1993},
PAGES = {vi+255},
ISBN = {0-691-02113-9},
MRCLASS = {57R65 (57P10 57Q65 57R90)},
MRNUMBER = {1238937 (95a:57042)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR1362791,
AUTHOR = {Blanchet, C. and Habegger, N. and Masbaum, G. and Vogel, Pierre},
TITLE = {Topological quantum field theories derived from the {K}auffman
bracket},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {34},
YEAR = {1995},
NUMBER = {4},
PAGES = {883--927},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57N10 (57M25 81T40)},
MRNUMBER = {MR1362791 (96i:57015)},
MRREVIEWER = {Justin D. Roberts},
DOI = {10.1016/0040-9383(94)00051-4},
URL = {http://dx.doi.org/10.1016/0040-9383(94)00051-4},
}
@incollection {MR585677,
AUTHOR = {Vogel, Pierre},
TITLE = {Localization in algebraic {$L$}-theory},
BOOKTITLE = {Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen,
Siegen, 1979)},
SERIES = {Lecture Notes in Math.},
VOLUME = {788},
PAGES = {482--495},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1980},
MRCLASS = {18F25 (57R60)},
MRNUMBER = {MR585677 (81k:18011)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR672183,
AUTHOR = {Vogel, Pierre},
TITLE = {On the obstruction group in homology surgery},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {55},
YEAR = {1982},
PAGES = {165--206},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {57P10 (57R67)},
MRNUMBER = {MR672183 (84e:57021)},
MRREVIEWER = {Jean-Claude Hausmann},
}
@incollection {MR750692,
AUTHOR = {Vogel, Pierre},
TITLE = {Une nouvelle famille de groupes en {$L$}-th\'eorie
alg\'ebrique},
BOOKTITLE = {Algebraic $K$-theory, number theory, geometry and analysis
(Bielefeld, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1046},
PAGES = {385--421},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R67 (18F25 19G12 19G24)},
MRNUMBER = {MR750692 (86a:57029)},
MRREVIEWER = {A. A. Ranicki},
}
@article{nonreg,
AUTHOR = {Vogel, Pierre},
TITLE = {Regular rings},
}
@article {vogelnantes,
AUTHOR = {Vogel, Pierre},
TITLE = {Localization of spaces with respect to a class of maps},
YEAR = {1978},
NOTES = {Nantes notes},
}
@article {MR1829311,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {I}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {160},
YEAR = {2001},
NUMBER = {1},
PAGES = {21--52},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1829311 (2002a:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1868117,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {II}. {T}he canonical involution},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {1},
PAGES = {53--82},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1868117 (2002i:19003)},
MRREVIEWER = {Charles Weibel},
}
@book {MR0420609,
AUTHOR = {Boardman, J. M. and Vogt, R. M.},
TITLE = {Homotopy invariant algebraic structures on topological spaces},
SERIES = {Lecture Notes in Mathematics, Vol. 347},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1973},
PAGES = {x+257},
MRCLASS = {55D35},
MRNUMBER = {MR0420609 (54 \#8623a)},
MRREVIEWER = {J. Stasheff},
}
@incollection {MR521735,
AUTHOR = {Vogt, Renate},
TITLE = {Cobordismus von {K}noten},
BOOKTITLE = {Knot theory ({P}roc. {S}em., {P}lans-sur-{B}ex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {218--226},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57R90 (57Q45)},
MRNUMBER = {MR521735 (80k:57065)},
MRREVIEWER = {Oscar Burlet},
}
@article{volkert,
AUTHOR = {Volkert, Klaus},
TITLE = {Das Homoeomorphismusproblem, insbesondere der 3-Mannigfatigkeiten,
in der Topologie},
YEAR = {2002},
}
@book {MR0260926,
AUTHOR = {Freudenthal, Hans and de Vries, H.},
TITLE = {Linear {L}ie groups},
SERIES = {Pure and Applied Mathematics, Vol. 35},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1969},
PAGES = {xxii+547},
MRCLASS = {22.50},
MRNUMBER = {0260926 (41 \#5546)},
MRREVIEWER = {W. Klingenberg},
}
@article{colding,
title={Mean curvature flow as a tool to study topology
of 4-manifolds},
author={Colding, T. and Minicozzi W. and Pedersen, Erik K.},
}
@article {MR1273784,
AUTHOR = {Wada, Masaaki},
TITLE = {Twisted {A}lexander polynomial for finitely presentable
groups},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {33},
YEAR = {1994},
NUMBER = {2},
PAGES = {241--256},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57M25},
MRNUMBER = {MR1273784 (95g:57021)},
MRREVIEWER = {Charles Livingston},
}
@article {MR0319185,
AUTHOR = {Farrell, F. T. and Wagoner, J. B.},
TITLE = {Infinite matrices in algebraic $K$-theory and topology},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {474--501},
ISSN = {0010-2571},
MRCLASS = {57C10},
MRNUMBER = {MR0319186 (47 \#7731a)},
MRREVIEWER = {J. P. May},
}
@article {MR0319186,
AUTHOR = {Farrell, F. T. and Wagoner, J. B.},
TITLE = {Algebraic torsion for infinite simple homotopy types},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {47},
YEAR = {1972},
PAGES = {502--513},
ISSN = {0010-2571},
MRCLASS = {57C10},
MRNUMBER = {MR0319186 (47 \#7731b)},
MRREVIEWER = {J. P. May},
}
@article {MR0354816,
AUTHOR = {Wagoner, J. B.},
TITLE = {Delooping classifying spaces in algebraic {$K$}-theory},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {11},
YEAR = {1972},
PAGES = {349--370},
ISSN = {0040-9383},
MRCLASS = {18F25 (55B20 55D35)},
MRNUMBER = {MR0354816 (50 \#7293)},
MRREVIEWER = {J. P. May},
}
@article {MR0284435,
AUTHOR = {Orlik, Peter and Wagreich, Philip},
TITLE = {Isolated singularities of algebraic surfaces with
{C{$^{\ast}$}}\ action},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {93},
YEAR = {1971},
PAGES = {205--228},
ISSN = {0003-486X},
MRCLASS = {14.18},
MRNUMBER = {MR0284435 (44 \#1662)},
MRREVIEWER = {M. L. Laplaza},
}
@article {MR2344015,
AUTHOR = {Wahl, Charlotte},
TITLE = {Noncommutative {M}aslov index and eta-forms},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {189},
YEAR = {2007},
NUMBER = {887},
PAGES = {vi+118},
ISSN = {0065-9266},
CODEN = {MAMCAU},
MRCLASS = {58J42 (46L80 46L87 53D12 58J20 58J28)},
MRNUMBER = {2344015 (2008j:58040)},
MRREVIEWER = {Thomas Schick},
}
@article {wahl1,
AUTHOR = {Wahl, Charlotte},
TITLE = {Der Signaturdefektsatz f�r B�ndel},
}
@article {wahl2,
AUTHOR = {Wahl, Charlotte},
TITLE = {A noncommutative index theorem for a manifold with boundary and cylindrical ends},
}
@article {MR1036128,
AUTHOR = {Neumann, W. D. and Wahl, Jonathan},
TITLE = {Casson invariant of links of singularities},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {65},
YEAR = {1990},
NUMBER = {1},
PAGES = {58--78},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57N12 (32S50 32S55 57M12)},
MRNUMBER = {MR1036128 (91c:57022)},
MRREVIEWER = {Ronald J. Stern},
DOI = {10.1007/BF02566593},
URL = {http://dx.doi.org/10.1007/BF02566593},
}
@article {MR0224099,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {On irreducible {$3$}-manifolds which are sufficiently large},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {87},
YEAR = {1968},
PAGES = {56--88},
ISSN = {0003-486X},
MRCLASS = {57.05},
MRNUMBER = {MR0224099 (36 \#7146)},
MRREVIEWER = {W. Haken},
}
@article {MR0235576,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {Eine {K}lasse von {$3$}-dimensionalen {M}annigfaltigkeiten.
{I}, {II}},
JOURNAL = {Invent. Math. 3 (1967), 308--333; ibid.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {4},
YEAR = {1967},
PAGES = {87--117},
ISSN = {0020-9910},
MRCLASS = {57.31},
MRNUMBER = {MR0235576 (38 \#3880)},
MRREVIEWER = {D. B. A. Epstein},
}
@article {MR0240822,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {The word problem in fundamental groups of sufficiently large
irreducible {$3$}-manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {88},
YEAR = {1968},
PAGES = {272--280},
ISSN = {0003-486X},
MRCLASS = {57.01 (02.00)},
MRNUMBER = {MR0240822 (39 \#2167)},
MRREVIEWER = {W. Haken},
}
@incollection {MR0370576,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {Whitehead groups of generalized free products},
BOOKTITLE = {Algebraic K-theory, II: ``Classical'' algebraic K-theory and
connections with arithmetic (Proc. Conf., Battelle Memorial
Inst., Seattle, Wash., 1972)},
PAGES = {155--179. Lecture Notes in Math., Vol. 342},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1973},
MRCLASS = {55E15 (18F25 20E30 57C10)},
MRNUMBER = {MR0370576 (51 \#6803)},
MRREVIEWER = {L. Neuwirth},
}
@article {MR0498807,
AUTHOR = "Friedhelm Waldhausen",
TITLE = "Algebraic K-theory of generalized free products I",
JOURNAL = "Ann. of Math. (2)",
VOLUME = "108",
YEAR = "1978",
NUMBER = "1",
PAGES = "135--204",
MRCLASS = "18F25 (57B99 57C35 57D65)",
MRNUMBER = "MR0498807 (58 \#16845a)",
MRREVIEWER = "Ross Staffeldt",
}
@article {MR0498808,
AUTHOR = "Friedhelm Waldhausen",
TITLE = "Algebraic K-theory of generalized free products II",
JOURNAL = "Ann. of Math. (2)",
VOLUME = "108",
YEAR = "1978",
NUMBER = "2",
PAGES = "205--256",
MRCLASS = "18F25 (57B99 57C35 57D65)",
MRNUMBER = "MR0498808 (58 \#16845b)",
MRREVIEWER = "Ross Staffeldt",
}
@article {MR1829311,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {I}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {160},
YEAR = {2001},
NUMBER = {1},
PAGES = {21--52},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1829311 (2002a:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1868117,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {II}. {T}he canonical involution},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {1},
PAGES = {53--82},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1868117 (2002i:19003)},
MRREVIEWER = {Charles Weibel},
}
@incollection {MR802796,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {Algebraic {$K$}-theory of spaces},
BOOKTITLE = {Algebraic and geometric topology (New Brunswick, N.J., 1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1126},
PAGES = {318--419},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {18F25 (19D10 55N15 57Q60)},
MRNUMBER = {MR802796 (86m:18011)},
MRREVIEWER = {V. P. Snaith},
}
@article{Wald,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {Whitehead groups of generalized free products (1969)},
}
@article {fw,
AUTHOR = {Waldhausen, Friedhelm},
TITLE = {Topology lecture notes},
}
@article {plmf,
AUTHOR = {Jahren, Bj{\o}rn and Rognes, John and Waldhausen, Friedhelm},
TITLE = {Spaces of PL manifolds and categories of simple maps},
YEAR = {2009},
}
@article {MR711647,
AUTHOR = {Walker, James W.},
TITLE = {A homology version of the {B}orsuk-{U}lam theorem},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {90},
YEAR = {1983},
NUMBER = {7},
PAGES = {466--468},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {55M20 (57S17 57S25)},
MRNUMBER = {MR711647 (85e:55006)},
MRREVIEWER = {A. Liulevicius},
DOI = {10.2307/2975728},
URL = {http://dx.doi.org/10.2307/2975728},
}
@book {MR1154798,
AUTHOR = {Walker, Kevin},
TITLE = {An extension of {C}asson's invariant},
SERIES = {Annals of Mathematics Studies},
VOLUME = {126},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1992},
PAGES = {vi+131},
ISBN = {0-691-08766-0; 0-691-02532-0},
MRCLASS = {57N10 (11F20 57M25 57R99)},
MRNUMBER = {MR1154798 (93e:57031)},
MRREVIEWER = {Christine Lescop},
}
@book {walker2,
AUTHOR = {Walker, Kevin},
TITLE = {On Witten's 3-manifold invariants},
YEAR = {1991},
}
@article {MR0120654,
AUTHOR = {Wall, C. T. C.},
TITLE = {Determination of the cobordism ring},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {72},
YEAR = {1960},
PAGES = {292--311},
ISSN = {0003-486X},
MRCLASS = {57.00},
MRNUMBER = {MR0120654 (22 \#11403)},
MRREVIEWER = {A. Dold},
}
@article {MR0124913,
AUTHOR = {Wall, C. T. C.},
TITLE = {Cobordism of pairs},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {35},
YEAR = {1961},
PAGES = {136--145},
ISSN = {0010-2571},
MRCLASS = {57.10},
MRNUMBER = {MR0124913 (23 \#A2221)},
MRREVIEWER = {R. Hermann},
}
@article {MR0139185,
AUTHOR = {Wall, C. T. C.},
TITLE = {Killing the middle homotopy groups of odd dimensional
manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {103},
YEAR = {1962},
PAGES = {421--433},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0139185 (25 \#2621)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0143223,
AUTHOR = {Wall, C. T. C.},
TITLE = {The action of {$\Gamma \sb{2n}$} on {$(n-1)$}-connected
{$2n$}-manifolds. },
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {13},
YEAR = {1962},
PAGES = {943--944},
ISSN = {0002-9939},
MRCLASS = {57.10},
MRNUMBER = {MR0143223 (26 \#783)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0145540,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification of {$(n-1)$}-connected {$2n$}-manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {75},
YEAR = {1962},
PAGES = {163--189},
MRCLASS = {57.10},
MRNUMBER = {MR0145540 (26 /#3071)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0145541,
AUTHOR = {Wall, C. T. C.},
TITLE = {Cobordism exact sequences for differential and combinatorial
manifolds. },
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {77},
YEAR = {1963},
PAGES = {1--15},
ISSN = {0003-486X},
MRCLASS = {57.10},
MRNUMBER = {MR0145541 (26 \#3072)},
MRREVIEWER = {M. F. Atiyah},
}
@article {MR0156353,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {I}.
{C}lassification of handlebodies},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {2},
YEAR = {1963},
PAGES = {253--261},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {MR0156353 (27 \#6277)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0156354,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {II}.
{D}iffeomorphisms of handlebodies},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {2},
YEAR = {1963},
PAGES = {263--272},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {MR0156354 (27 \#6278)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0156890,
AUTHOR = {Wall, C. T. C.},
TITLE = {Quadratic forms on finite groups, and related topics},
JOURNAL = {Topology},
VOLUME = {2},
YEAR = {1963},
PAGES = {281--298},
MRCLASS = {10.16 (20.30)},
MRNUMBER = {MR0156890 (28 \#133)},
MRREVIEWER = {T. Ono},
}
@article {MR0163323,
AUTHOR = {Wall, C. T. C.},
TITLE = {Diffeomorphisms of {$4$}-manifolds},
JOURNAL = {J. London Math. Soc.},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {39},
YEAR = {1964},
PAGES = {131--140},
ISSN = {0024-6107},
MRCLASS = {57.20},
MRNUMBER = {MR0163323 (29 \#626)},
MRREVIEWER = {N. H. Kuiper},
}
@article {MR0163324,
AUTHOR = {Wall, C. T. C.},
TITLE = {On simply-connected {$4$}-manifolds},
JOURNAL = {J. London Math. Soc.},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {39},
YEAR = {1964},
PAGES = {141--149},
ISSN = {0024-6107},
MRCLASS = {57.10},
MRNUMBER = {MR0163324 (29 \#627)},
MRREVIEWER = {N. H. Kuiper},
}
@article {MR0167498,
AUTHOR = {Wall, C. T. C.},
TITLE = {Graded {B}rauer groups},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {213},
YEAR = {1963/1964},
PAGES = {187--199},
ISSN = {0075-4102},
MRCLASS = {16.50},
MRNUMBER = {0167498},
MRREVIEWER = {T. Ono},
DOI = {10.1515/crll.1964.213.187},
URL = {http://dx.doi.org/10.1515/crll.1964.213.187},
}
@article {MR0169248,
AUTHOR = {Wall, C. T. C.},
TITLE = {Cobordism of combinatorial {$n$}-manifolds for {$n\leq 8$}},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {60},
YEAR = {1964},
PAGES = {807--811},
MRCLASS = {57.10 (57.01)},
MRNUMBER = {MR0169248 (29 \#6500)},
MRREVIEWER = {A. Haefliger},
}
@article {MR0171284,
AUTHOR = {Wall, C. T. C.},
TITLE = {Finiteness conditions for CW-complexes I.},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {81},
YEAR = {1965},
PAGES = {56--69},
MRCLASS = {55.40},
MRNUMBER = {MR0171284 (30 \#1515)},
MRREVIEWER = {A. Dold},
}
@article {MR0172305,
AUTHOR = {Wall, C. T. C.},
TITLE = {Topology of smooth manifolds},
JOURNAL = {J. London Math. Soc.},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {40},
YEAR = {1965},
PAGES = {1--20},
ISSN = {0024-6107},
MRCLASS = {57.00},
MRNUMBER = {MR0172305 (30 \#2524)},
MRREVIEWER = {N. H. Kuiper},
}
@article {MR0177407,
AUTHOR = {Hsiang, Wu-Chung and Wall, C. T. C.},
TITLE = {Orientability of manifolds for generalised homology theories},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {118},
YEAR = {1965},
PAGES = {352--359},
ISSN = {0002-9947},
MRCLASS = {55.60 (55.30)},
MRNUMBER = {MR0177407 (31 \#1670)},
MRREVIEWER = {J. F. Adams},
}
@article {MR0177421,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {III}.
{A}pplications to special cases},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {3},
YEAR = {1965},
PAGES = {291--304},
ISSN = {0040-9383},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0177421 (31 \#1684)},
MRREVIEWER = {N. H. Kuiper},
}
@article {MR0184249,
AUTHOR = {Wall, C. T. C.},
TITLE = {Unknotting tori in codimension one and spheres in codimension
two},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {61},
YEAR = {1965},
PAGES = {659--664},
MRCLASS = {57.20},
MRNUMBER = {0184249 (32 \#1722)},
MRREVIEWER = {R. H. Rosen},
}
@article {MR0192509,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {IV}.
{T}hickenings},
JOURNAL = {Topology},
VOLUME = {5},
YEAR = {1966},
PAGES = {73--94},
MRCLASS = {57.20},
MRNUMBER = {MR0192509 (33 \#734)},
MRREVIEWER = {A. Dold},
}
@article {MR0203708,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the axiomatic foundations of the theory of {H}ermitian
forms},
JOURNAL = {Proc. Cambridge Philos. Soc.},
VOLUME = {67},
YEAR = {1970},
PAGES = {243--250},
MRCLASS = {15.70 (16.00)},
MRNUMBER = {MR0251054 (40 \#4285)},
MRREVIEWER = {J. S. Hsia},
}
@article {MR0206943,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the exactness of interlocking sequences},
JOURNAL = {Enseignement Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {12},
YEAR = {1966},
PAGES = {95--100},
ISSN = {0013-8584},
MRCLASS = {55.99 (55.30)},
MRNUMBER = {MR0206943 (34 \#6759)},
MRREVIEWER = {Ronald Brown},
}
@article {MR0211402,
AUTHOR = {Wall, C. T. C.},
TITLE = {Finiteness conditions for CW complexes. II},
JOURNAL = {Proc. Roy. Soc. Ser. A},
VOLUME = {295},
YEAR = {1966},
PAGES = {129--139},
MRCLASS = {55.40},
MRNUMBER = {MR0211402 (35 \#2283)},
MRREVIEWER = {A. Dold},
}
@article {MR0212826,
AUTHOR = {Wall, C. T. C.},
TITLE = {An extension of results of Novikov and Browder},
JOURNAL = {Amer. J. Math.},
VOLUME = {88},
YEAR = {1966},
PAGES = {20--32},
MRCLASS = {57.20},
MRNUMBER = {MR0212826 (35 \#3691)},
MRREVIEWER = {A. Haefliger},
}
@article {MR0212827,
AUTHOR = {Wall, C. T. C.},
TITLE = {Surgery of non-simply-connected manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {84},
YEAR = {1966},
PAGES = {217--276},
MRCLASS = {57.20 (57.10)},
MRNUMBER = {MR0212827 (35 \#3692)},
MRREVIEWER = {A. Haefliger},
}
@article {MR0215313,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {V}. {O}n
certain {$6$}-manifolds},
JOURNAL = {Invent. Math. 1 (1966), 355-374; corrigendum, ibid},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {2},
YEAR = {1966},
PAGES = {306},
ISSN = {0020-9910},
MRCLASS = {57.10},
MRNUMBER = {MR0215313 (35 \#6154)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR0216510,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification problems in differential topology. {VI}.
{C}lassification of {$(s-1)$}-connected {$(2s+1)$}-manifolds},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {6},
YEAR = {1967},
PAGES = {273--296},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {MR0216510 (35 \#7343)},
MRREVIEWER = {N. H. Kuiper},
}
@article {MR0217791,
AUTHOR = {Wall, C. T. C.},
TITLE = {Poincar\'e complexes},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {86},
YEAR = {1967},
PAGES = {213--245},
MRCLASS = {55.25},
MRNUMBER = {MR0217791 (36 \#880)},
MRREVIEWER = {E. H. Brown},
}
@article {MR0227994,
AUTHOR = {Wall, C. T. C.},
TITLE = {On bundles over a sphere with fibre {E}uclidean space},
JOURNAL = {Fund. Math.},
FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
VOLUME = {61},
YEAR = {1967},
PAGES = {57--72},
ISSN = {0016-2736},
MRCLASS = {57.01},
MRNUMBER = {MR0227994 (37 \#3578)},
MRREVIEWER = {C. H. Edwards, Jr.},
}
@incollection {MR0233362,
AUTHOR = {Wall, C. T. C.},
TITLE = {Homeomorphism and diffeomorphism classification of manifolds},
BOOKTITLE = {Proc. Internat. Congr. Math. (Moscow, 1966)},
PAGES = {450--460},
PUBLISHER = {Izdat. ``Mir'', Moscow},
YEAR = {1968},
MRCLASS = {57.01},
MRNUMBER = {MR0233362 (38 \#1684)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0246311,
AUTHOR = {Wall, C. T. C.},
TITLE = {Non-additivity of the signature},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {7},
YEAR = {1969},
PAGES = {269--274},
ISSN = {0020-9910},
MRCLASS = {57.10},
MRNUMBER = {MR0246311 (39 \#7615)},
MRREVIEWER = {Ph. Tondeur},
}
@article {MR0258044,
AUTHOR = {Hsiang, Wu-Chung and Wall, C. T. C.},
TITLE = {On homotopy tori. {II}},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {1},
YEAR = {1969},
PAGES = {341--342},
ISSN = {0024-6093},
MRCLASS = {57.01},
MRNUMBER = {MR0258044 (41 \#2691)},
MRREVIEWER = {L. S. Husch},
}
@article {MR0281710,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the classification of hermitian forms. {I}. {R}ings of
algebraic integers},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {22},
YEAR = {1970},
PAGES = {425--451},
ISSN = {0010-437X},
MRCLASS = {13.50 (10.00)},
MRNUMBER = {MR0281710 (43 \#7425)},
MRREVIEWER = {J. S. Hsia},
}
@article {MR0322071,
AUTHOR = {Wall, C. T. C.},
TITLE = {Quadratic forms on finite groups. {II}},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {4},
YEAR = {1972},
PAGES = {156--160},
ISSN = {0024-6093},
MRCLASS = {20H05 (10C05)},
MRNUMBER = {MR0322071 (48 \#435)},
MRREVIEWER = {T. Ono},
}
@article {MR0323829,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the classification of {H}ermitian forms. {II}. {S}emisimple
rings},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {18},
YEAR = {1972},
PAGES = {119--141},
ISSN = {0020-9910},
MRCLASS = {16A54 (15A63)},
MRNUMBER = {MR0323829 (48 \#2184)},
MRREVIEWER = {Carl Riehm},
}
@article {MR0323830,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the classification of {H}ermitian forms. {III}. {C}omplete
semilocal rings},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {19},
YEAR = {1973},
PAGES = {59--71},
ISSN = {0020-9910},
MRCLASS = {16A54 (15A63)},
MRNUMBER = {MR0323830 (48 \#2185)},
MRREVIEWER = {Carl Riehm},
}
@incollection {MR0357550,
AUTHOR = {Wall, C. T. C.},
TITLE = {Foundations of algebraic {$L$}-theory},
BOOKTITLE = {Algebraic {$K$}-theory, {III}: {H}ermitian {$K$}-theory and
geometric applications ({P}roc. {C}onf., {B}attelle {M}emorial
{I}nst., {S}eattle, {W}ash., 1972)},
PAGES = {266--300. Lecture Notes in Math., Vol. 343},
PUBLISHER = {Springer, Berlin},
YEAR = {1973},
MRCLASS = {18F25 (10C05 15A63 57D65)},
MRNUMBER = {0357550},
MRREVIEWER = {Andrew Ranicki},
}
@incollection {MR0423363,
AUTHOR = {Wall, C. T. C.},
TITLE = {Geometric topology: manifolds and structures},
BOOKTITLE = {Actes du Congr\`es International des Math\'ematiciens (Nice,
1970), Tome 1},
PAGES = {213--219},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1971},
MRCLASS = {57D15 (57D40 58D10)},
MRNUMBER = {MR0423363 (54 \#11342)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0423378,
AUTHOR = {Wall, C. T. C.},
TITLE = {Formulae for surgery obstructions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {25},
YEAR = {1976},
NUMBER = {3},
PAGES = {189--210},
ISSN = {0040-9383},
MRCLASS = {57D65},
MRNUMBER = {MR0423378 (54 \#11357)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@article {MR0424902,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the classification of {H}ermitian forms. {IV}. {A}dele
rings},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {23},
YEAR = {1974},
PAGES = {241--260},
ISSN = {0020-9910},
MRCLASS = {18F25 (10C05 57D65)},
MRNUMBER = {MR0424902 (54 \#12860)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR0424903,
AUTHOR = {Wall, C. T. C.},
TITLE = {On the classification of {H}ermitian forms. {V}. {G}lobal
rings},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {23},
YEAR = {1974},
PAGES = {261--288},
ISSN = {0020-9910},
MRCLASS = {18F25 (10C05 57D65)},
MRNUMBER = {MR0424903 (54 \#12861)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR0426003,
AUTHOR = {Madsen, Ib and Thomas, C. B. and Wall, C. T. C.},
TITLE = {The topological spherical space form problem. {II}.
{E}xistence of free actions},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {15},
YEAR = {1976},
NUMBER = {4},
PAGES = {375--382},
ISSN = {0040-9383},
MRCLASS = {57E25},
MRNUMBER = {MR0426003 (54 \#13952)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR0432737,
AUTHOR = {Wall, C. T. C.},
TITLE = {Classification of {H}ermitian {F}orms. {VI}. {G}roup rings},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {103},
YEAR = {1976},
NUMBER = {1},
PAGES = {1--80},
ISSN = {0003-486X},
MRCLASS = {18F25 (57D65 20C05)},
MRNUMBER = {MR0432737 (55 \#5720)},
MRREVIEWER = {A. A. Ranicki},
}
@book{MR1262130,
AUTHOR = {Wall, C. T. C.},
TITLE = {A geometric introduction to topology},
NOTE = {Reprint of the 1972 original},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {viii+168},
ISBN = {0-486-67850-4},
MRCLASS = {55-01},
MRNUMBER = {1262130 (94j:55001)},
}
@book {MR1687388,
AUTHOR = {Wall, C. T. C.},
TITLE = {Surgery on compact manifolds},
SERIES = {Mathematical Surveys and Monographs},
VOLUME = {69},
EDITION = {Second},
NOTE = {Edited and with a foreword by A. A. Ranicki},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {xvi+302},
ISBN = {0-8218-0942-3},
MRCLASS = {57R67 (19J25 57-02)},
MRNUMBER = {MR1687388 (2000a:57089)},
}
@article {MR2031877,
AUTHOR = {Wall, C. T. C.},
TITLE = {The geometry of abstract groups and their splittings},
JOURNAL = {Rev. Mat. Complut.},
FJOURNAL = {Revista Matem\'atica Complutense},
VOLUME = {16},
YEAR = {2003},
NUMBER = {1},
PAGES = {5--101},
ISSN = {1139-1138},
MRCLASS = {20F65 (20E08 57M07 57P10)},
MRNUMBER = {MR2031877},
MRREVIEWER = {John Meier},
}
@book {MR2107253,
AUTHOR = {Wall, C. T. C.},
TITLE = {Singular points of plane curves},
SERIES = {London Mathematical Society Student Texts},
VOLUME = {63},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2004},
PAGES = {xii+370},
ISBN = {0-521-83904-1; 0-521-54774-1},
MRCLASS = {14H20 (14H50 32S55 57R45)},
MRNUMBER = {MR2107253 (2005i:14031)},
MRREVIEWER = {C{\'{\i}}cero Fernandes de Carvalho},
}
@incollection {MR520498,
AUTHOR = {Wall, C. T. C.},
TITLE = {Free actions of finite groups on spheres},
BOOKTITLE = {Algebraic and geometric topology ({P}roc. {S}ympos. {P}ure
{M}ath., {S}tanford {U}niv., {S}tanford, {C}alif., 1976),
{P}art 1},
SERIES = {Proc. Sympos. Pure Math., XXXII},
PAGES = {115--124},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1978},
MRCLASS = {57S25},
MRNUMBER = {MR520498 (80k:57076)},
MRREVIEWER = {J. A. Schafer},
}
@proceedings {MR564417,
TITLE = {Homological group theory},
SERIES = {London Mathematical Society Lecture Note Series},
VOLUME = {36},
BOOKTITLE = {Proceedings of a {S}ymposium on {H}omological and
{C}ombinational {T}echniques in {G}roup {T}heory held at
{D}urham, {S}eptember, 1977},
AUTHOR = {Wall, C. T. C.},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1979},
PAGES = {ix+394},
ISBN = {0-521-22729-1},
MRCLASS = {20-06 (22-06)},
MRNUMBER = {564417 (80m:20001)},
}
@incollection {PD3,
AUTHOR = {Wall, C. T. C.},
TITLE = {Poincare duality in dimension 3},
BOOKTITLE = {Algebraic topology (Arcata, CA, 1986)},
SERIES = {Geometry and Topology Monographs},
VOLUME = {7},
PAGES = {1--26},
}
@article {difftop,
AUTHOR = {Wall, C. T. C.},
TITLE = {Differential Topology},
NOTES = {Cambridge notes, 1960-1},
}
@book {MR0093522,
AUTHOR = {Wallace, Andrew H.},
TITLE = {Homology theory on algebraic varieties},
SERIES = {International Series of Monographs on Pure and Applied
Mathematics. Vol. 6},
PUBLISHER = {Pergamon Press},
ADDRESS = {New York},
YEAR = {1958},
PAGES = {viii+115},
MRCLASS = {14.00 (55.00)},
MRNUMBER = {0093522 (20 \#46)},
MRREVIEWER = {Sze-tsen Hu},
}
@book {MR2522486,
AUTHOR = {Goodman, Roe and Wallach, Nolan R.},
TITLE = {Symmetry, representations, and invariants},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {255},
PUBLISHER = {Springer},
ADDRESS = {Dordrecht},
YEAR = {2009},
PAGES = {xx+716},
ISBN = {978-0-387-79851-6},
MRCLASS = {20G05 (14L35 17B10 20C30 20G20 22E46)},
MRNUMBER = {MR2522486},
DOI = {10.1007/978-0-387-79852-3},
URL = {http://dx.doi.org/10.1007/978-0-387-79852-3},
}
@book {MR0006493,
AUTHOR = {Hurewicz, Witold and Wallman, Henry},
TITLE = {Dimension {T}heory},
SERIES = {Princeton Mathematical Series, v. 4},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1941},
PAGES = {vii+165},
MRCLASS = {56.0X},
MRNUMBER = {MR0006493 (3,312b)},
MRREVIEWER = {H. Whitney},
}
@article {MR1506485,
AUTHOR = {Walsh, J. L.},
TITLE = {A {C}losed {S}et of {N}ormal {O}rthogonal {F}unctions},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {45},
YEAR = {1923},
NUMBER = {1},
PAGES = {5--24},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1506485},
DOI = {10.2307/2387224},
URL = {http://dx.doi.org/10.2307/2387224},
}
@article {MR1486985,
AUTHOR = {Walter, Charles},
TITLE = {Pfaffian subschemes},
JOURNAL = {J. Algebraic Geom.},
FJOURNAL = {Journal of Algebraic Geometry},
VOLUME = {5},
YEAR = {1996},
NUMBER = {4},
PAGES = {671--704},
ISSN = {1056-3911},
MRCLASS = {14M05 (13D45 14J60 14M07)},
MRNUMBER = {MR1486985 (99f:14064)},
MRREVIEWER = {A. Prabhakar Rao},
}
@article {MR1808593,
AUTHOR = {Eisenbud, David and Popescu, Sorin and Walter, Charles},
TITLE = {Enriques surfaces and other non-{P}faffian subcanonical
subschemes of codimension 3},
NOTE = {Special issue in honor of Robin Hartshorne},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {28},
YEAR = {2000},
NUMBER = {12},
PAGES = {5629--5653},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {14J28 (13C40 13D02 14M12)},
MRNUMBER = {MR1808593 (2002b:14046)},
MRREVIEWER = {I. Dolgachev},
DOI = {10.1080/00927870008827179},
URL = {http://dx.doi.org/10.1080/00927870008827179},
}
@article{eisenbud_lagrangian_1999,
title = {Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme},
url = {http://arxiv.org/abs/math/9906170},
abstract = {We show that a Gorenstein subcanonical codimension 3 subscheme Z in X = {P{\textasciicircum}N,} N {\textgreater} 3, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundle meet degenerately, and conversely. We extend this result to singular Z and all quasiprojective ambient schemes X under the necessary hypothesis that {\$Z\$} is strongly subcanonical in a sense defined below. A central point is that a pair of Lagrangian subbundles can be transformed locally into an alternating map. In the local case our structure theorem reduces to that of {Buchsbaum-Eisenbud} and says that Z is Pfaffian. We also prove codimension one symmetric and skew-symmetric analogues of our structure theorems.},
journal = {math/9906170},
author = {David Eisenbud and Sorin Popescu and Charles Walter},
month = jun,
year = {1999},
keywords = {{14M07,} {13D02,} {14M12,} {14F05,} Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra},
}
@article{trig,
AUTHOR = {Walter, Charles},
TITLE = {Grothendieck-Witt groups of triangulated categories},
JOURNAL = {http://www.math.uiuc.edu/K-theory/0643/},
}
@article {MR1019067,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {Equivariant orientations and {$G$}-bordism theory},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {140},
YEAR = {1989},
NUMBER = {1},
PAGES = {63--84},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R85},
MRNUMBER = {MR1019067 (90h:57044)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1127138,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {{$G$}-transversality revisited},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {116},
YEAR = {1992},
NUMBER = {2},
PAGES = {535--546},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57R91 (55N91 55S91 57R85)},
MRNUMBER = {MR1127138 (92m:57044)},
MRREVIEWER = {Jos{\'e} Carlos de Souza Kiihl},
}
@article {MR1139971,
AUTHOR = {Costenoble, S. R. and Waner, S.},
TITLE = {The equivariant {T}hom isomorphism theorem},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {152},
YEAR = {1992},
NUMBER = {1},
PAGES = {21--39},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {55N91 (55N25 55R91 57R91)},
MRNUMBER = {MR1139971 (93c:55005)},
MRREVIEWER = {L. Gaunce Lewis, Jr.},
}
@article {MR607113,
AUTHOR = {Caruso, J. and Waner, S.},
TITLE = {An approximation to {$\Omega \sp{n}\Sigma \sp{n}X$}},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {265},
YEAR = {1981},
NUMBER = {1},
PAGES = {147--162},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {55P35 (55P40)},
MRNUMBER = {MR607113 (82i:55006)},
MRREVIEWER = {J. P. May},
}
@article {MR730020,
AUTHOR = {Waner, S.},
TITLE = {Equivariant {$R{\rm O}(G)$}-graded bordism theories},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {17},
YEAR = {1984},
NUMBER = {1},
PAGES = {1--26},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57R85},
MRNUMBER = {MR730020 (85e:57042)},
MRREVIEWER = {R. E. Stong},
}
@article {MR857451,
AUTHOR = {Waner, S.},
TITLE = {Fixed sets of framed {$G$}-manifolds},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {298},
YEAR = {1986},
NUMBER = {1},
PAGES = {421--429},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57R85 (57S17)},
MRNUMBER = {MR857451 (87k:57027)},
MRREVIEWER = {Amir H. Assadi},
}
@book {MR722297,
AUTHOR = {Warner, Frank W.},
TITLE = {Foundations of differentiable manifolds and {L}ie groups},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {94},
NOTE = {Corrected reprint of the 1971 edition},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1983},
PAGES = {ix+272},
ISBN = {0-387-90894-3},
MRCLASS = {58-01 (22-01 53-01 57R99)},
MRNUMBER = {722297 (84k:58001)},
}
@book {MR654330,
AUTHOR = {Warshauer, Max L.},
TITLE = {The {W}itt group of degree {$k$} maps and asymmetric inner
product spaces},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {914},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1982},
PAGES = {iv+269},
ISBN = {3-540-11201-4},
MRCLASS = {10C05 (13K05 57R19)},
MRNUMBER = {MR654330 (84k:10017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR0231388,
AUTHOR = {Wasserman, Arthur G.},
TITLE = {Cobordism of group actions},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {72},
YEAR = {1966},
PAGES = {866--869},
ISSN = {0002-9904},
MRCLASS = {57.10},
MRNUMBER = {MR0231388 (37 \#6943)},
MRREVIEWER = {C. N. Lee},
}
@article {MR0250324,
AUTHOR = {Wasserman, Arthur G.},
TITLE = {Equivariant differential topology},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {8},
YEAR = {1969},
PAGES = {127--150},
ISSN = {0040-9383},
MRCLASS = {57.10},
MRNUMBER = {MR0250324 (40 \#3563)},
MRREVIEWER = {R. Z. Goldstein},
}
@article{46.0831.01,
author="Watson, G. N.",
title="{A problem of analysis situs.}",
language="English",
year="1916",
abstract="{Der Verf. zeigt: Wenn $P$ ein variabler Punkt einer geschlossenen
{\it Jordan}kurve mit stetig \"andernder Tangente, und $\psi$ Winkel
zwischen der Tangente in $P$ und der $X$-Achse ist, dann \"andert sich
$\psi$ um $2\pi$, wenn $P$ die Kurve einmal beschreibt. (III.)}",
reviewer="{Haalmeijer, Dr. (Amsterdam)}",
}
@article {MR1097689,
AUTHOR = {L{\^e} D{\~u}ng Tr{\'a}ng and Michel, Francoise and
Weber, Claude},
TITLE = {Courbes polaires et topologie des courbes planes},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {24},
YEAR = {1991},
NUMBER = {2},
PAGES = {141--169},
ISSN = {0012-9593},
CODEN = {ASENAH},
MRCLASS = {32S55},
MRNUMBER = {1097689 (92b:32043)},
MRREVIEWER = {Tom{\'a}s S{\'a}nchez-Giralda},
URL = {http://www.numdam.org/item?id=ASENS_1991_4_24_2_141_0},
}
@article {MR1850189,
AUTHOR = {Weber, Claude and Pajitnov, A.V. and Rudolph, L.},
TITLE = {The {M}orse-{N}ovikov number for knots and links},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = {13},
YEAR = {2001},
NUMBER = {3},
PAGES = {105--118},
ISSN = {0234-0852},
MRCLASS = {57M27},
MRNUMBER = {MR1850189 (2002k:57040)},
MRREVIEWER = {Vyacheslav S. Krushkal},
}
@article {MR2469208,
AUTHOR = {Quach Hongler, Cam Van and Weber, Claude},
TITLE = {Amphicheirals according to {T}ait and {H}aseman},
JOURNAL = {J. Knot Theory Ramifications},
FJOURNAL = {Journal of Knot Theory and its Ramifications},
VOLUME = {17},
YEAR = {2008},
NUMBER = {11},
PAGES = {1387--1400},
ISSN = {0218-2165},
MRCLASS = {57M25},
MRNUMBER = {2469208 (2009h:57009)},
MRREVIEWER = {Lorenzo Traldi},
DOI = {10.1142/S0218216508006646},
URL = {http://dx.doi.org/10.1142/S0218216508006646},
}
@incollection {MR521731,
AUTHOR = {Kervaire, M. and Weber, Claude},
TITLE = {A survey of multidimensional knots},
BOOKTITLE = {Knot theory (Proc. Sem., Plans-sur-Bex, 1977)},
SERIES = {Lecture Notes in Math.},
VOLUME = {685},
PAGES = {61--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1978},
MRCLASS = {57Q45 (32C40)},
MRNUMBER = {MR521731 (80f:57009)},
MRREVIEWER = {Louis H. Kauffman},
}
@proceedings {MR728578,
TITLE = {N\oe uds, tresses et singularit\'es},
SERIES = {Monographies de L'Enseignement Math\'ematique [Monographs of
L'Enseignement Math\'ematique]},
VOLUME = {31},
BOOKTITLE = {Proceedings of the seminar held in {P}lans-sur-{B}ex, {M}arch
27--{A}pril 2, 1982},
AUTHOR = {Weber, Claude},
PUBLISHER = {Universit\'e de Gen\`eve L'Enseignement Math\'ematique},
ADDRESS = {Geneva},
YEAR = {1983},
PAGES = {259},
MRCLASS = {14-06 (57-06 57M25)},
MRNUMBER = {MR728578 (84m:14004)},
}
@article {MR874691,
AUTHOR = {de la Harpe, Pierre and Kervaire, M. and Weber, Claude},
TITLE = {On the {J}ones polynomial},
JOURNAL = {Enseign. Math. (2)},
FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. IIe
S\'erie},
VOLUME = {32},
YEAR = {1986},
NUMBER = {3-4},
PAGES = {271--335},
ISSN = {0013-8584},
CODEN = {ENMAAR},
MRCLASS = {57M25 (20F38 46L99)},
MRNUMBER = {MR874691 (88f:57004)},
MRREVIEWER = {J. S. Birman},
}
@article{michel_boundary_2005,
title = {The boundary of the Milnor fiber of Hirzebruch surface singularities},
url = {http://arxiv.org/abs/math/0509451},
abstract = {We give the first (as far as we know) complete description of the boundary of the Milnor fiber for some non-isolated singular germs of surfaces in \${{\textbackslash}bf C}{\textasciicircum}3\$. We study irreducible (i.e. \$gcd (m,k,l) = 1\$) non-isolated (i.e. \$1 {\textbackslash}leq k {\textless} l\$) Hirzebruch hypersurface singularities in \${{\textbackslash}bf C}{\textasciicircum}3\$ given by the equation \$z{\textasciicircum}m - x{\textasciicircum}ky{\textasciicircum}l = 0\$. We show that the boundary {\$L\$} of the Milnor fiber is always a Seifert manifold and we give an explicit description of the Seifert structure. From it, we deduce that : 1) {\$L\$} is never diffeomorphic to the boundary of the normalization. 2) {\$L\$} is a lens space iff \$m = 2\$ and \$k = 1\$. 3) When {\$L\$} is not a lens space, it is never orientation preserving diffeomorphic to the boundary of a normal surface singularity.},
journal = {math/0509451},
author = {F. Michel and Anne Pichon and Claude Weber},
month = sep,
year = {2005},
keywords = {{14J17,} {32S25,} {57M25,} Mathematics - Algebraic Geometry},
}
@book {MR0168568,
AUTHOR = {Wedderburn, J. H. M.},
TITLE = {Lectures on matrices},
PUBLISHER = {Dover Publications Inc.},
ADDRESS = {New York},
YEAR = {1964},
PAGES = {vii+200pp},
MRCLASS = {15.00 (01.60)},
MRNUMBER = {MR0168568 (29 \#5828)},
}
@article {MR1699257,
AUTHOR = {Francis, George K. and Weeks, Jeffrey R.},
TITLE = {Conway's {ZIP} proof},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {106},
YEAR = {1999},
NUMBER = {5},
PAGES = {393--399},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {57N05 (57M99)},
MRNUMBER = {1699257 (2000m:57023)},
MRREVIEWER = {Patrick Gilmer},
DOI = {10.2307/2589143},
URL = {http://dx.doi.org/10.2307/2589143},
}
@article{duboiswegner,
author = {Dubois, Jerome and Wegner, Christian},
title = {L2 Alexander invariant for knots},
year = {2013},
keywords = {{57M25}, Mathematics - Geometric Topology},
}
@article{wei_wu_2011,
title = {On the Wu classes of the topological blow up},
url = {http://arxiv.org/abs/1107.1065},
abstract = {We mainly discuss the Wu classes {\$v(M)\$} and the Steenrod operation {\$Sq\$} of the topological blow up {\${\textbackslash}tilde{M}\$.} The formula of the Wu class {\$v({\textbackslash}tilde{M})\$} will be given as well as the formula of the Steenrod operation {\$Sq\$.} As an application, we will use our results to describe a geometric obstruction.},
journal = {1107.1065},
author = {Wei, Wang},
month = jul,
year = {2011},
keywords = {{57R19} {57R20}, Mathematics - Algebraic Topology},
}
@incollection {MR1000388,
AUTHOR = {Pedersen, Erik K. and Weibel, Charles A.},
TITLE = {{$K$}-theory homology of spaces},
BOOKTITLE = {Algebraic topology (Arcata, CA, 1986)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1370},
PAGES = {346--361},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1989},
MRCLASS = {55N15 (19D06 19D35 55P42)},
MRNUMBER = {MR1000388 (90m:55007)},
MRREVIEWER = {Christopher W. Stark},
}
@incollection {MR1156514,
AUTHOR = {Weibel, Charles A. and Yao, Dongyuan},
TITLE = {Localization for the {$K$}-theory of noncommutative rings},
BOOKTITLE = {Algebraic $K$-theory, commutative algebra, and algebraic
geometry (Santa Margherita Ligure, 1989)},
SERIES = {Contemp. Math.},
VOLUME = {126},
PAGES = {219--230},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1992},
MRCLASS = {19D99 (16E20)},
MRNUMBER = {MR1156514 (92m:19006)},
MRREVIEWER = {L. N. Vaserstein},
}
@book {MR1269324,
AUTHOR = {Weibel, Charles A.},
TITLE = {An introduction to homological algebra},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {38},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {xiv+450},
ISBN = {0-521-43500-5; 0-521-55987-1},
MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
MRNUMBER = {MR1269324 (95f:18001)},
MRREVIEWER = {Kenneth A. Brown},
}
@article {MR590161,
AUTHOR = {Weibel, Charles A.},
TITLE = {{$K$}-theory and analytic isomorphisms},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {61},
YEAR = {1980},
NUMBER = {2},
PAGES = {177--197},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {13D15 (14C35 16A54 18F25)},
MRNUMBER = {MR590161 (83b:13011)},
}
@incollection {MR802790,
AUTHOR = {Pedersen, Erik K. and Weibel, Charles A.},
TITLE = {A nonconnective delooping of algebraic {$K$}-theory},
BOOKTITLE = {Algebraic and geometric topology (New Brunswick, N.J., 1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1126},
PAGES = {166--181},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1985},
MRCLASS = {18F25 (19D06 19D35)},
MRNUMBER = {MR802790 (87b:18012)},
MRREVIEWER = {Ross Staffeldt},
}
@article {weib,
AUTHOR = {Weibel, Charles A.},
TITLE = {An introduction to algebraic K-theory},
}
@article {MR0007627,
AUTHOR = {Allendoerfer, Carl B. and Weil, Andr{\'e}},
TITLE = {The {G}auss-{B}onnet theorem for {R}iemannian polyhedra},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {53},
YEAR = {1943},
PAGES = {101--129},
ISSN = {0002-9947},
MRCLASS = {52.0X},
MRNUMBER = {0007627 (4,169e)},
MRREVIEWER = {H. Whitney},
}
@article {MR0050280,
AUTHOR = {Weil, Andr{\'e}},
TITLE = {Sur les th\'eor\`emes de de {R}ham},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {26},
YEAR = {1952},
PAGES = {119--145},
MRCLASS = {56.0X},
MRNUMBER = {MR0050280 (14,307b)},
MRREVIEWER = {P. Dolbeault},
}
@article {MR0165033,
AUTHOR = {Weil, Andr{\'e}},
TITLE = {Sur certains groupes d'op\'erateurs unitaires},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {111},
YEAR = {1964},
PAGES = {143--211},
ISSN = {0001-5962},
MRCLASS = {22.65 (32.65)},
MRNUMBER = {MR0165033 (29 \#2324)},
MRREVIEWER = {G. W. Mackey},
}
@article {DESING,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Desingularizing homology manifolds},
JOURNAL = {preprint},
YEAR = {2005},
}
@article {FINITE2,
AUTHOR = {Dranishnikov, A. and Ferry, S. and Weinberger, Shmuel},
TITLE = {Abstract Integral Novikov conjecture for asymptotically finite-dimensional groups},
JOURNAL = {preprint},
YEAR = {2005},
}
@book {MR1308714,
AUTHOR = {Weinberger, Shmuel},
TITLE = {The topological classification of stratified spaces},
SERIES = {Chicago Lectures in Mathematics},
PUBLISHER = {University of Chicago Press},
ADDRESS = {Chicago, IL},
YEAR = {1994},
PAGES = {xiv+283},
ISBN = {0-226-88566-6; 0-226-88567-4},
MRCLASS = {57N80 (57R67)},
MRNUMBER = {MR1308714 (96b:57024)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1394965,
AUTHOR = {Bryant, J. and Ferry, S. and Mio, Washington and Weinberger, Shmuel},
TITLE = {Topology of homology manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {143},
YEAR = {1996},
NUMBER = {3},
PAGES = {435--467},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57P99},
MRNUMBER = {MR1394965 (97b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@book {MR1705570,
TITLE = {Tel {A}viv {T}opology {C}onference: {R}othenberg
{F}estschrift},
SERIES = {Contemporary Mathematics},
VOLUME = {231},
AUTHOR = {Farber, Michael and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
NOTE = {Lectures from the International Conference held in Tel Aviv,
June 1--5, 1998},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {x+320},
ISBN = {0-8218-1362-5},
MRCLASS = {57-06 (00B30 55-06)},
MRNUMBER = {1705570 (2000c:57001)},
}
@incollection {MR1707352,
AUTHOR = {Weinberger, Shmuel},
TITLE = {Higher {$\rho$}-invariants},
BOOKTITLE = {Tel {A}viv {T}opology {C}onference: {R}othenberg {F}estschrift
(1998)},
SERIES = {Contemp. Math.},
VOLUME = {231},
PAGES = {315--320},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1999},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {1707352 (2000g:57049)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR2326949,
AUTHOR = {Hughes, Bruce and Taylor, Laurence R. and Weinberger, Shmuel
and Williams, Bruce},
TITLE = {Examples of exotic stratifications},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {1477--1505},
ISSN = {1465-3060},
MRCLASS = {57N80 (19J05)},
MRNUMBER = {2326949 (2008c:57038)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2140/gt.2007.11.1477},
URL = {http://dx.doi.org/10.2140/gt.2007.11.1477},
}
@article {MR2772544,
AUTHOR = {Bartels, Arthur and L{\"u}ck, Wolfgang and Weinberger, Shmuel},
TITLE = {On hyperbolic groups with spheres as boundary},
JOURNAL = {J. Differential Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {86},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--16},
ISSN = {0022-040X},
CODEN = {JDGEAS},
MRCLASS = {57Mxx (19Lxx 20F67 53Cxx)},
MRNUMBER = {2772544},
URL = {http://projecteuclid.org/getRecord?id=euclid.jdg/1299766682},
}
@article {MR683014,
AUTHOR = {Weinberger, Shmuel},
TITLE = {There exist finitely presented groups with infinite ooze},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {49},
YEAR = {1982},
NUMBER = {4},
PAGES = {1129--1133},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {57R67 (20F05)},
MRNUMBER = {MR683014 (84k:57020)},
MRREVIEWER = {Laurence R. Taylor},
}
@article {MR770570,
AUTHOR = {Weinberger, Shmuel},
TITLE = {Constructing homotopy equivalences},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {23},
YEAR = {1984},
NUMBER = {3},
PAGES = {347--379},
ISSN = {0040-9383},
CODEN = {TPLGAF},
MRCLASS = {57R65 (55P10)},
MRNUMBER = {MR770570 (86i:57041)},
MRREVIEWER = {Christopher W. Stark},
}
@incollection {MR873283,
AUTHOR = {Cappell, Sylvain E. and Weinberger, Shmuel},
TITLE = {A geometric interpretation of {S}iebenmann's periodicity
phenomenon},
BOOKTITLE = {Geometry and topology (Athens, Ga., 1985)},
SERIES = {Lecture Notes in Pure and Appl. Math.},
VOLUME = {105},
PAGES = {47--52},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1987},
MRCLASS = {57R19 (19G24 19M05 57M12 57R67)},
MRNUMBER = {MR873283 (88f:57040)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR952817,
AUTHOR = {Weinberger, Shmuel},
TITLE = {Homotopy invariance of {$\eta$}-invariants},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {85},
YEAR = {1988},
NUMBER = {15},
PAGES = {5362--5363},
ISSN = {0027-8424},
CODEN = {PNASA6},
MRCLASS = {58G10 (57R20 57R65)},
MRNUMBER = {952817 (90a:58168)},
MRREVIEWER = {Steven E. Hurder},
}
@article{adler_persistent_2010,
title = {Persistent Homology for Random Fields and Complexes},
url = {http://arxiv.org/abs/1003.1001},
abstract = {We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices, and, in most detail, the algebraic topology of the excursion sets of random fields.},
journal = {1003.1001},
author = {Robert J Adler and Omer Bobrowski and Matthew S Borman and Eliran Subag and Shmuel Weinberger},
month = mar,
year = {2010},
keywords = {{60G15,} {55N35} {(Primary)} {60G55,} {62H35} {(Secondary),} Mathematics - Algebraic Topology, Mathematics - Probability},
}
@article{math.GT/0509644,
title = {{An etale approach to the Novikov conjecture}},
author = {A. Dranishnikov and S. Ferry and Shmuel Weinberger},
eprint = {arXiv:math.GT/0509644},
}
@paper{roswein,
AUTHOR = {Jonathan Rosenberg and Shmuel Weinberger},
TITLE = {The signature operator at 2},
}
@article {MR2110115,
AUTHOR = {Weiner, Joel L. and Wilkens, George R.},
TITLE = {Quaternions and rotations in {${\Bbb E}\sp 4$}},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {112},
YEAR = {2005},
NUMBER = {1},
PAGES = {69--76},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {15A33 (16K20 34C60)},
MRNUMBER = {MR2110115 (2005k:15038)},
}
@book{0207.21704,
author="Lundell, A.T. and Weingram, S.",
title="{The topology of CW complexes.}",
language="English",
publisher="{The University Series in Higher Mathematics. New York etc.: Van
Nostrand Reinhold Company. VIII, 216 p. }",
year="1969",
classmath="{*57-01 (Textbooks (manifolds)), 57Q99 (PL-topology)}",
}
@article {MR1224618,
AUTHOR = {Lee, Ronnie and Weintraub, Steven H.},
TITLE = {On the homology of double branched covers},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {123},
YEAR = {1995},
NUMBER = {4},
PAGES = {1263--1266},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {57M12},
MRNUMBER = {MR1224618 (95e:57002)},
MRREVIEWER = {Neal Brand},
DOI = {10.2307/2160729},
URL = {http://dx.doi.org/10.2307/2160729},
}
@article {MR510309,
AUTHOR = {Neumann, W. D. and Weintraub, Steven H.},
TITLE = {Four-manifolds constructed via plumbing},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {238},
YEAR = {1978},
NUMBER = {1},
PAGES = {71--78},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57R60 (57Q60 57R65)},
MRNUMBER = {MR510309 (80g:57047)},
MRREVIEWER = {Alan H. Durfee},
DOI = {10.1007/BF01351456},
URL = {http://dx.doi.org/10.1007/BF01351456},
}
@article {MR1026874,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {II}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {62},
YEAR = {1989},
NUMBER = {1},
PAGES = {47--107},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {57R65 (19D10 55M35 55P42)},
MRNUMBER = {MR1026874 (91e:57055)},
MRREVIEWER = {Christopher W. Stark},
}
@article{MR1055984,
AUTHOR = {Ranicki, Andrew and Weiss, Michael},
TITLE = {Chain complexes and assembly},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {204},
YEAR = {1990},
NUMBER = {2},
PAGES = {157--185},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55U15 (18F25 19M05)},
MRNUMBER = {MR1055984 (91f:55009)},
MRREVIEWER = {Ulrike Tillmann},
}
@article {MR1176883,
AUTHOR = {Weiss, Michael},
TITLE = {Visible {$L$}-theory},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {4},
YEAR = {1992},
NUMBER = {5},
PAGES = {465--498},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR1176883 (93g:57043)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR1644309,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Duality in {W}aldhausen categories},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {10},
YEAR = {1998},
NUMBER = {5},
PAGES = {533--603},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19D10 (57N65 57R65)},
MRNUMBER = {MR1644309 (99g:19002)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1694381,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Products and duality in {W}aldhausen categories},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {352},
YEAR = {2000},
NUMBER = {2},
PAGES = {689--709},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {19D10 (57R50)},
MRNUMBER = {MR1694381 (2000c:19005)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1880196,
AUTHOR = {Weiss, Michael},
TITLE = {Excision and restriction in controlled {$K$}-theory},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {14},
YEAR = {2002},
NUMBER = {1},
PAGES = {85--119},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19J05 (18F25 19D10)},
MRNUMBER = {MR1880196 (2002j:19001)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR1982793,
AUTHOR = {Dwyer, W. G. and Weiss, Michael and Williams, Bruce},
TITLE = {A parametrized index theorem for the algebraic {$K$}-theory
{E}uler class},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {190},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--104},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {19D10 (57R10 58J22 58J52)},
MRNUMBER = {MR1982793 (2004d:19004)},
MRREVIEWER = {Kiyoshi Igusa},
}
@article {MR2175298,
AUTHOR = {Weiss, Michael},
TITLE = {What does the classifying space of a category classify?},
JOURNAL = {Homology Homotopy Appl.},
FJOURNAL = {Homology, Homotopy and Applications},
VOLUME = {7},
YEAR = {2005},
NUMBER = {1},
PAGES = {185--195},
ISSN = {1532-0081},
MRCLASS = {57T30 (18F20 18G55)},
MRNUMBER = {2175298},
MRREVIEWER = {Paul Arne {\O}stv{\ae}r},
URL = {http://projecteuclid.org/euclid.hha/1139839512},
}
@article {MR2506750,
AUTHOR = {Galatius, S{\o}ren and Tillmann, Ulrike and Madsen, Ib and
Weiss, Michael},
TITLE = {The homotopy type of the cobordism category},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {202},
YEAR = {2009},
NUMBER = {2},
PAGES = {195--239},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {55Pxx (55Nxx)},
MRNUMBER = {MR2506750},
DOI = {10.1007/s11511-009-0036-9},
URL = {http://dx.doi.org/10.1007/s11511-009-0036-9},
}
@article {MR788854,
AUTHOR = {Weiss, Michael},
TITLE = {Surgery and the generalized {K}ervaire invariant. {I}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {51},
YEAR = {1985},
NUMBER = {1},
PAGES = {146--192},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (18F25 19G24)},
MRNUMBER = {MR788854 (87a:57040a)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR794111,
AUTHOR = {Weiss, Michael},
TITLE = {Surgery and the generalized {K}ervaire invariant. {II}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {51},
YEAR = {1985},
NUMBER = {2},
PAGES = {193--230},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (18F25 19G24)},
MRNUMBER = {MR794111 (87a:57040b)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR953917,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {I}},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {1},
YEAR = {1988},
NUMBER = {6},
PAGES = {575--626},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {57N35 (57R50 57R65)},
MRNUMBER = {MR953917 (89h:57012)},
MRREVIEWER = {Christopher W. Stark},
}
@article{fin,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic K-theory finale},
YEAR = {1994},
JOURNAL = {http://www.math.uiuc/edu/K-theory/0018/},
}
@article{math.AT/0703303,
title = {{The block structure spaces of real projective spaces and
orthogonal calculus of functors II}},
author = {Tibor Macko and Michael Weiss},
eprint = {arXiv:math.AT/0703303},
}
@article{reis_smooth_2010,
title = {Smooth maps to the plane and Pontryagin classes, Part I: Local aspects},
shorttitle = {Smooth maps to the plane and Pontryagin classes, Part I},
url = {http://arxiv.org/abs/1008.5104},
abstract = {We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the target. The first point of view leads us to a classification of certain germs of maps, which we review here although it is very well known. The second point of view leads us to a classification of certain multigerms of maps.},
journal = {1008.5104},
author = {Rui M. G Reis and Michael Weiss},
month = aug,
year = {2010},
keywords = {{57R45} {(Primary),} {57R35} {(Secondary),} {57R70,} Mathematics - Algebraic Topology},
}
@article{reis_smooth_2011,
title = {Smooth maps to the plane and Pontryagin classes, Part {II:} Homotopy theory},
shorttitle = {Smooth maps to the plane and Pontryagin classes, Part {II}},
url = {http://arxiv.org/abs/1102.0233},
journal = {1102.0233},
author = {Rui M. G Reis and Michael Weiss},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology, Primary {57D20,} Secondary {55F40,} {57D10}},
}
@article{weisshomology,
AUTHOR = {Weiss, Michael},
TITLE = {Homology without simplices},
}
@article {weissnotes,
AUTHOR = {Weiss, Michael},
TITLE = {Homotopy theory and bordism theory},
}
@article {ww3,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {III}},
}
@article {MR2488864,
AUTHOR = {Jollenbeck, Michael and Welker, Volkmar},
TITLE = {Minimal resolutions via algebraic discrete {M}orse theory},
JOURNAL = {Mem. Amer. Math. Soc.},
FJOURNAL = {Memoirs of the American Mathematical Society},
VOLUME = {197},
YEAR = {2009},
NUMBER = {923},
PAGES = {vi+74},
ISSN = {0065-9266},
CODEN = {MAMCAU},
ISBN = {978-0-8218-4257-7},
MRCLASS = {13D02 (13D03 16E05 58E05)},
MRNUMBER = {2488864 (2009m:13017)},
MRREVIEWER = {Petter Andreas Bergh},
}
@article {duboismichel2,
AUTHOR = {DuBois, Philippe and Michel, Francoise},
TITLE = {Filtration par le poids et monodromie enti\`ere},
JOURNAL = {Bull. Soc. Math. France},
FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
VOLUME = {120},
YEAR = {1992},
NUMBER = {2},
PAGES = {129--167},
ISSN = {0037-9484},
CODEN = {BSMFAA},
MRCLASS = {32S35 (32S55)},
MRNUMBER = {1167054 (93h:32049)},
MRREVIEWER = {Aleksandr G. Aleksandrov},
URL = {http://www.numdam.org/item?id=BSMF_1992__120_2_129_0},
}
@article {MR594531,
AUTHOR = {Kawauchi, Akio and Kojima, Sadayoshi},
TITLE = {Algebraic classification of linking pairings on
{$3$}-manifolds},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {253},
YEAR = {1980},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0025-5831},
CODEN = {MAANA3},
MRCLASS = {57M99 (20F38)},
MRNUMBER = {594531 (82b:57007)},
MRREVIEWER = {L. Guillou},
DOI = {10.1007/BF01457818},
URL = {http://dx.doi.org/10.1007/BF01457818},
}
@article {MR0196760,
AUTHOR = {Wells, Robert},
TITLE = {Cobordism groups of immersions},
JOURNAL = {Topology},
VOLUME = {5},
YEAR = {1966},
PAGES = {281--294},
MRCLASS = {57.10 (57.20)},
MRNUMBER = {MR0196760 (33 \#4946)},
MRREVIEWER = {R. K. Lashof},
}
@article {MR0451247,
AUTHOR = {West, James E.},
TITLE = {Mapping {H}ilbert cube manifolds to {ANR}'s: a solution of a
conjecture of {B}orsuk},
JOURNAL = {Ann. Math. (2)},
VOLUME = {106},
YEAR = {1977},
NUMBER = {1},
PAGES = {1--18},
MRCLASS = {57A20},
MRNUMBER = {MR0451247 (56 \#9534)},
MRREVIEWER = {V. A. Kalinin},
}
@book {MR0447559,
AUTHOR = {Weyl, Hermann},
TITLE = {Die {I}dee der {R}iemannschen {F}l\"ache},
NOTE = {F{\"u}nfte Auflage},
PUBLISHER = {B. G. Teubner},
ADDRESS = {Stuttgart},
YEAR = {1974},
PAGES = {xv+162},
MRCLASS = {30A46},
MRNUMBER = {MR0447559 (56 \#5869)},
}
@book {MR1488158,
AUTHOR = {Weyl, Hermann},
TITLE = {The classical groups},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {Their invariants and representations,
Fifteenth printing,
Princeton Paperbacks},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1997},
PAGES = {xiv+320},
ISBN = {0-691-05756-7},
MRCLASS = {01A75 (20-03 20Cxx 20Gxx 22-01)},
MRNUMBER = {MR1488158 (98k:01049)},
}
@book {MR1617068,
AUTHOR = {Weyl, Hermann},
TITLE = {Algebraic theory of numbers},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {Reprint of the 1940 original,
Princeton Paperbacks},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1998},
PAGES = {x+223},
ISBN = {0-691-05917-9},
MRCLASS = {11Rxx},
MRNUMBER = {MR1617068 (98m:11110)},
}
@article {weyl,
AUTHOR = {Weyl, Hermann},
TITLE = {Analisis situs combinatorio},
JOURNAL = {Revista Matematica Hispano-Americana},
VOLUME = {5},
PAGES = {390--432},
YEAR = {1923},
}
@article {MR0253264,
AUTHOR = {White, James H.},
TITLE = {Self-linking and the {G}auss integral in higher dimensions},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {91},
YEAR = {1969},
PAGES = {693--728},
ISSN = {0002-9327},
MRCLASS = {53.90 (57.00)},
MRNUMBER = {MR0253264 (40 \#6479)},
MRREVIEWER = {W. S. Piper},
}
@article {MR0005737,
AUTHOR = {Whitehead, George W.},
TITLE = {Homotopy properties of the real orthogonal groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {43},
YEAR = {1942},
PAGES = {132--146},
ISSN = {0003-486X},
MRCLASS = {20.0X},
MRNUMBER = {MR0005737 (3,197c)},
MRREVIEWER = {H. Whitney},
}
@article {MR0007107,
AUTHOR = {Whitehead, George W.},
TITLE = {On the homotopy groups of spheres and rotation groups},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {43},
YEAR = {1942},
PAGES = {634--640},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0007107 (4,88c)},
MRREVIEWER = {H. Whitney},
}
@article {MR0016672,
AUTHOR = {Whitehead, George W.},
TITLE = {On products in homotopy groups},
JOURNAL = {Ann. of Math (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {47},
YEAR = {1946},
PAGES = {460--475},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0016672 (8,50b)},
MRREVIEWER = {N. E. Steenrod},
}
@article {MR0037507,
AUTHOR = {Whitehead, George W.},
TITLE = {The {$(n+2)\sp {\rm nd}$} homotopy group of the {$n$}-sphere},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {52},
YEAR = {1950},
PAGES = {245--247},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0037507 (12,273a)},
MRREVIEWER = {H. Freudenthal},
}
@article {MR0041435,
AUTHOR = {Whitehead, George W.},
TITLE = {A generalization of the {H}opf invariant},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {51},
YEAR = {1950},
PAGES = {192--237},
MRCLASS = {56.0X},
MRNUMBER = {MR0041435 (12,847b)},
MRREVIEWER = {H. Hopf},
}
@article {MR0080918,
AUTHOR = {Whitehead, George W.},
TITLE = {Homotopy groups of joins and unions},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {83},
YEAR = {1956},
PAGES = {55--69},
MRCLASS = {55.0X},
MRREVIEWER = {W. S. Massey},
}
@article {MR0137117,
AUTHOR = {Whitehead, George W.},
TITLE = {Generalized homology theories},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {102},
YEAR = {1962},
PAGES = {227--283},
ISSN = {0002-9947},
MRCLASS = {55.30},
MRNUMBER = {0137117 (25 \#573)},
MRREVIEWER = {S.-T. Hu},
}
@book {MR516508,
AUTHOR = {Whitehead, George W.},
TITLE = {Elements of homotopy theory},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {61},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1978},
PAGES = {xxi+744},
ISBN = {0-387-90336-4},
MRCLASS = {55-02},
MRNUMBER = {MR516508 (80b:55001)},
MRREVIEWER = {Brayton Gray},
}
@book{0005.21801,
author="Veblen, Oswald and Whitehead, J. H. C.",
title="{The foundations of differential geometry.}",
language="English",
publisher="{(Cambridge Tracts in Math. a. Math. Phys. 29) London: Cambridge
Univ. Press. IX, 97 S. }",
year="1932",
keywords="{geometry}",
}
@article {MR0002546,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {On the homotopy type of manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {41},
YEAR = {1940},
PAGES = {825--832},
MRCLASS = {56.0X},
MRNUMBER = {MR0002546 (2,73e)},
MRREVIEWER = {R. H. Fox},
}
@article {MR000359,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {On C^1 complexes},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {41},
YEAR = {1940},
PAGES = {809--824},
MRCLASS = {56.0X},
}
@article {MR0005352,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {On incidence matrices, nuclei and homotopy types},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {42},
YEAR = {1941},
PAGES = {1197--1239},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {MR0005352 (3,142b)},
MRREVIEWER = {R. H. Fox},
}
@article {MR0020255,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {An expression of {H}opf's invariant as an integral},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {33},
YEAR = {1947},
PAGES = {117--123},
ISSN = {0027-8424},
MRCLASS = {56.0X},
MRNUMBER = {0020255 (8,525h)},
MRREVIEWER = {S. Chern},
}
@article {MR0029171,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {On simply connected, {$4$}-dimensional polyhedra},
JOURNAL = {Comment. Math. Helv.},
VOLUME = {22},
YEAR = {1949},
PAGES = {48--92},
MRCLASS = {56.0X},
MRNUMBER = {MR0029171 (10,559d)},
MRREVIEWER = {N. E. Steenrod},
}
@article {MR0030759a,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {Combinatorial homotopy. {I}},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {55},
YEAR = {1949},
PAGES = {213--245},
ISSN = {0002-9904},
MRCLASS = {56.0X},
MRNUMBER = {0030759 (11,48b)},
MRREVIEWER = {H. Samelson},
}
@article {MR0030760,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {Combinatorial homotopy. {II}},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {55},
YEAR = {1949},
PAGES = {453--496},
ISSN = {0002-9904},
MRCLASS = {56.0X},
MRNUMBER = {0030760 (11,48c)},
MRREVIEWER = {H. Samelson},
}
@article {MR0033003,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {The secondary boundary operator},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {36},
YEAR = {1950},
PAGES = {55--60},
ISSN = {0027-8424},
MRCLASS = {56.0X},
MRNUMBER = {0033003 (11,379e)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0035437,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {Simple homotopy types},
JOURNAL = {Amer. J. Math.},
VOLUME = {72},
YEAR = {1950},
PAGES = {1--57},
MRCLASS = {56.0X},
MRNUMBER = {MR0035437 (11,735c)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0035997,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {A certain exact sequence},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {52},
YEAR = {1950},
PAGES = {51--110},
MRCLASS = {56.0X},
MRNUMBER = {MR0035997 (12,43c)},
MRREVIEWER = {J. Dugundji},
}
@article {MR0041436,
AUTHOR = {Steenrod, N. E. and Whitehead, J. H. C.},
TITLE = {Vector fields on the {$n$}-sphere},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {37},
YEAR = {1951},
PAGES = {58--63},
ISSN = {0027-8424},
MRCLASS = {56.0X},
MRNUMBER = {0041436 (12,847c)},
MRREVIEWER = {H. Cartan},
}
@article {MR0074823,
AUTHOR = {Spanier, E. H. and Whitehead, J. H. C.},
TITLE = {Duality in homotopy theory},
JOURNAL = {Mathematika},
FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
VOLUME = {2},
YEAR = {1955},
PAGES = {56--80},
ISSN = {0025-5793},
MRCLASS = {55.0X},
MRNUMBER = {0074823 (17,653b)},
MRREVIEWER = {J. C. Moore},
}
@article{jhc9,
author="Whitehead, J. H. C.",
title="{Simplicial spaces, nuclei and $m$-groups.}",
language="English",
year="1939",
reviewer="{Pannwitz, Erika; Dr. (Berlin)}",
}
@article {jhcwknots,
AUTHOR = {Whitehead, J. H. C.},
TITLE = {On doubled knots},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {12},
YEAR = {1937},
PAGES = {63--71},
}
@article {MR0001338,
AUTHOR = {Whitney, Hassler},
TITLE = {On the theory of sphere-bundles},
JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {26},
YEAR = {1940},
PAGES = {148--153},
ISSN = {0027-8424},
MRCLASS = {56.0X},
MRNUMBER = {MR0001338 (1,220b)},
MRREVIEWER = {A. W. Tucker},
}
@article {MR0007784,
AUTHOR = {Whitney, Hassler},
TITLE = {The general type of singularity of a set of {$2n-1$} smooth
functions of {$n$} variables},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {10},
YEAR = {1943},
PAGES = {161--172},
ISSN = {0012-7094},
MRCLASS = {27.0X},
MRNUMBER = {MR0007784 (4,193b)},
MRREVIEWER = {A. E. Taylor},
}
@article {MR0010274,
AUTHOR = {Whitney, Hassler},
TITLE = {The self-intersections of a smooth {$n$}-manifold in
{$2n$}-space},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {45},
YEAR = {1944},
PAGES = {220--246},
MRCLASS = {56.0X},
MRNUMBER = {MR0010274 (5,273g)},
MRREVIEWER = {A. E. Taylor},
}
@article {MR0010275,
AUTHOR = {Whitney, Hassler},
TITLE = {The singularities of a smooth {$n$}-manifold in
{$(2n-1)$}-space},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {45},
YEAR = {1944},
PAGES = {247--293},
MRCLASS = {56.0X},
MRNUMBER = {MR0010275 (5,274a)},
MRREVIEWER = {A. E. Taylor},
}
@book {MR0087148,
AUTHOR = {Whitney, Hassler},
TITLE = {Geometric integration theory},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1957},
PAGES = {xv+387},
MRCLASS = {53.0X},
MRNUMBER = {MR0087148 (19,309c)},
MRREVIEWER = {H. Samelson},
}
@article {MR0123331,
AUTHOR = {Dold, Albrecht and Whitney, Hassler},
TITLE = {Classification of oriented sphere bundles over a
{$4$}-complex},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {69},
YEAR = {1959},
PAGES = {667--677},
ISSN = {0003-486X},
MRCLASS = {55.50},
MRNUMBER = {MR0123331 (23 \#A659)},
MRREVIEWER = {M. A. Kervaire},
}
@article {MR1503303,
AUTHOR = {Whitney, Hassler},
TITLE = {Differentiable manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {37},
YEAR = {1936},
NUMBER = {3},
PAGES = {645--680},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {Database Expansion Item},
MRNUMBER = {MR1503303},
}
@article {MR1503416,
AUTHOR = {Whitney, Hassler},
TITLE = {On products in a complex},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {39},
YEAR = {1938},
NUMBER = {2},
PAGES = {397--432},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1503416},
}
@article {MR1545971,
AUTHOR = {Whitney, Hassler},
TITLE = {On the maps of an {$n$}-sphere into another {$n$}-sphere},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {3},
YEAR = {1937},
NUMBER = {1},
PAGES = {46--50},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {Contributed Item},
MRNUMBER = {1545971},
DOI = {10.1215/S0012-7094-37-00305-3},
URL = {http://dx.doi.org/10.1215/S0012-7094-37-00305-3},
}
@article {MR1545972,
AUTHOR = {Whitney, Hassler},
TITLE = {The maps of an {$n$}-complex into an {$n$}-sphere},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {3},
YEAR = {1937},
NUMBER = {1},
PAGES = {51--55},
ISSN = {0012-7094},
CODEN = {DUMJAO},
MRCLASS = {Contributed Item},
MRNUMBER = {1545972},
DOI = {10.1215/S0012-7094-37-00306-5},
URL = {http://dx.doi.org/10.1215/S0012-7094-37-00306-5},
}
@article {MR1556973,
AUTHOR = {Whitney, Hassler},
TITLE = {On regular closed curves in the plane},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {4},
YEAR = {1937},
PAGES = {276--284},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1556973},
}
@article {MR510552,
AUTHOR = {Guichardet, A. and Wigner, D.},
TITLE = {Sur la cohomologie r\'eelle des groupes de {L}ie simples
r\'eels},
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
Quatri\`eme S\'erie},
VOLUME = {11},
YEAR = {1978},
NUMBER = {2},
PAGES = {277--292},
ISSN = {0012-9593},
CODEN = {ENAQAF},
MRCLASS = {22E99},
MRNUMBER = {MR510552 (80g:22023a)},
MRREVIEWER = {W. T. van Est},
URL = {http://www.numdam.org/item?id=ASENS_1978_4_11_2_277_0},
}
@incollection {MR824292,
AUTHOR = {Wigner, Eugene P.},
TITLE = {The unreasonable effectiveness of mathematics in the natural
sciences [{C}omm.\ {P}ure {A}ppl.\ {M}ath.\ {\bf 13} (1960),
1--14; {Z}bl 102, 7]},
BOOKTITLE = {Mathematical analysis of physical systems},
PAGES = {1--14},
PUBLISHER = {Van Nostrand Reinhold},
ADDRESS = {New York},
YEAR = {1985},
MRCLASS = {00A25},
MRNUMBER = {MR824292},
}
@article {SeifertView,
AUTHOR = {van Wijk, Jarke J. and Cohen, Arjeh M.},
TITLE = {Visualization of Seifert Surfaces},
JOURNAL = {IEEE Trans. on visualization and computer graphics},
FJOURNAL = {IEEE Trans. on visualization and computer graphics},
VOLUME = {1},
YEAR = {2006},
PAGES = {1--13},
}
@article {MR1763062,
AUTHOR = {Calkin, Neil and Wilf, Herbert S.},
TITLE = {Recounting the rationals},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {107},
YEAR = {2000},
NUMBER = {4},
PAGES = {360--363},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {11B75},
MRNUMBER = {1763062 (2001d:11024)},
MRREVIEWER = {H. L. Abbott},
DOI = {10.2307/2589182},
URL = {http://dx.doi.org/10.2307/2589182},
}
@article {MR0307258,
AUTHOR = {Wilkens, David L.},
TITLE = {Closed {$(s-1)$}-connected {$(2s+1)$}-manifolds, {$s=3,\,7$}},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {4},
YEAR = {1972},
PAGES = {27--31},
ISSN = {0024-6093},
MRCLASS = {57D55},
MRNUMBER = {0307258 (46 \#6378)},
MRREVIEWER = {C. H. Edwards, Jr.},
}
@article {MR0383435,
AUTHOR = {Wilkens, David L.},
TITLE = {On the inertia groups of certain manifolds},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {9},
YEAR = {1974/75},
PAGES = {537--548},
ISSN = {0024-6107},
MRCLASS = {57D65},
MRNUMBER = {0383435 (52 \#4316)},
MRREVIEWER = {R. Schultz},
}
@article {wilkensphd,
AUTHOR = {Wilkens, David L.},
TITLE = {Closed (s-1)-connected (2s+1)-manifolds, s=3,7, PhD},
NOTES = {Liverpool Ph.D. Thesis},
YEAR = {1971},
}
@article {MR2110115,
AUTHOR = {Weiner, Joel L. and Wilkens, George R.},
TITLE = {Quaternions and rotations in {${\Bbb E}\sp 4$}},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {112},
YEAR = {2005},
NUMBER = {1},
PAGES = {69--76},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {15A33 (16K20 34C60)},
MRNUMBER = {MR2110115 (2005k:15038)},
}
@article {MR1553954,
AUTHOR = {Barth, W. and Martin, R. S. and Wilkinson, J. H.},
TITLE = {Handbook {S}eries {L}inear {A}lgebra: {C}alculation of the
eigenvalues of a symmetric tridiagonal matrix by the method of
bisection},
JOURNAL = {Numer. Math.},
FJOURNAL = {Numerische Mathematik},
VOLUME = {9},
YEAR = {1967},
NUMBER = {5},
PAGES = {386--393},
ISSN = {0029-599X},
CODEN = {NUMMA7},
MRCLASS = {Contributed Item},
MRNUMBER = {MR1553954},
}
@book {MR950175,
AUTHOR = {Wilkinson, J. H.},
TITLE = {The algebraic eigenvalue problem},
SERIES = {Monographs on Numerical Analysis},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {xviii+662},
ISBN = {0-19-853418-3},
MRCLASS = {65Fxx (15-02 65-02)},
MRNUMBER = {MR950175 (89j:65031)},
}
@article {MR1026874,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {II}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {62},
YEAR = {1989},
NUMBER = {1},
PAGES = {47--107},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {57R65 (19D10 55M35 55P42)},
MRNUMBER = {MR1026874 (91e:57055)},
MRREVIEWER = {Christopher W. Stark},
}
@article {MR1644309,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Duality in {W}aldhausen categories},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
VOLUME = {10},
YEAR = {1998},
NUMBER = {5},
PAGES = {533--603},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {19D10 (57N65 57R65)},
MRNUMBER = {MR1644309 (99g:19002)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR1694381,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Products and duality in {W}aldhausen categories},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {352},
YEAR = {2000},
NUMBER = {2},
PAGES = {689--709},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {19D10 (57R50)},
MRNUMBER = {MR1694381 (2000c:19005)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1829311,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {I}},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {160},
YEAR = {2001},
NUMBER = {1},
PAGES = {21--52},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1829311 (2002a:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1868117,
AUTHOR = {H{\"u}ttemann, Thomas and Klein, John R. and Vogell, Wolrad
and Waldhausen, Friedhelm and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {II}. {T}he canonical involution},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {167},
YEAR = {2002},
NUMBER = {1},
PAGES = {53--82},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR1868117 (2002i:19003)},
MRREVIEWER = {Charles Weibel},
}
@article {MR1982793,
AUTHOR = {Dwyer, W. G. and Weiss, Michael and Williams, Bruce},
TITLE = {A parametrized index theorem for the algebraic {$K$}-theory
{E}uler class},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {190},
YEAR = {2003},
NUMBER = {1},
PAGES = {1--104},
ISSN = {0001-5962},
CODEN = {ACMAA8},
MRCLASS = {19D10 (57R10 58J22 58J52)},
MRNUMBER = {MR1982793 (2004d:19004)},
MRREVIEWER = {Kiyoshi Igusa},
}
@article {MR2326939,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {Homotopical intersection theory. {I}},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {939--977},
MRCLASS = {55N45 (57R19)},
MRNUMBER = {MR2326939},
}
@article {MR2326940,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {Homotopical intersection theory. {II} Equivariance},
JOURNAL = {Math. Z.},
}
@article {MR2326949,
AUTHOR = {Hughes, Bruce and Taylor, Laurence R. and Weinberger, Shmuel
and Williams, Bruce},
TITLE = {Examples of exotic stratifications},
JOURNAL = {Geom. Topol.},
FJOURNAL = {Geometry \& Topology},
VOLUME = {11},
YEAR = {2007},
PAGES = {1477--1505},
ISSN = {1465-3060},
MRCLASS = {57N80 (19J05)},
MRNUMBER = {2326949 (2008c:57038)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.2140/gt.2007.11.1477},
URL = {http://dx.doi.org/10.2140/gt.2007.11.1477},
}
@article {MR2407063,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {The ``fundamental theorem'' for the algebraic {$K$}-theory of
spaces. {III}. {T}he nil-term},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {136},
YEAR = {2008},
NUMBER = {9},
PAGES = {3025--3033},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {19D10 (19D35)},
MRNUMBER = {MR2407063},
}
@article {MR2529299,
AUTHOR = {Klein, John R. and Williams, Bruce},
TITLE = {The refined transfer, bundle structures, and algebraic
{$K$}-theory},
JOURNAL = {J. Topol.},
FJOURNAL = {Journal of Topology},
VOLUME = {2},
YEAR = {2009},
NUMBER = {2},
PAGES = {321--345},
ISSN = {1753-8416},
MRCLASS = {55R12 (19D10 55R10 55R15)},
MRNUMBER = {2529299 (2010m:55014)},
MRREVIEWER = {Marian F. Anton},
DOI = {10.1112/jtopol/jtp010},
URL = {http://dx.doi.org/10.1112/jtopol/jtp010},
}
@incollection {MR557167,
AUTHOR = {Taylor, Laurence R. and Williams, Bruce},
TITLE = {Surgery spaces: formulae and structure},
BOOKTITLE = {Algebraic topology, {W}aterloo, 1978 ({P}roc. {C}onf., {U}niv.
{W}aterloo, {W}aterloo, {O}nt., 1978)},
SERIES = {Lecture Notes in Math.},
VOLUME = {741},
PAGES = {170--195},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
MRCLASS = {57R67},
MRNUMBER = {557167 (81k:57034)},
MRREVIEWER = {Ian Hambleton},
}
@article {MR593058,
AUTHOR = {Madsen, Ib and Taylor, Laurence R. and Williams, Bruce},
TITLE = {Tangential homotopy equivalences},
JOURNAL = {Comment. Math. Helv.},
FJOURNAL = {Commentarii Mathematici Helvetici},
VOLUME = {55},
YEAR = {1980},
NUMBER = {3},
PAGES = {445--484},
ISSN = {0010-2571},
CODEN = {COMHAX},
MRCLASS = {57N65 (55P10)},
MRNUMBER = {MR593058 (82f:57015)},
MRREVIEWER = {Edgar H. Brown, Jr.},
}
@incollection {MR764576,
AUTHOR = {Hambleton, Ian and Taylor, Laurence R. and Williams, Bruce},
TITLE = {An introduction to maps between surgery obstruction groups},
BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1051},
PAGES = {49--127},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1984},
MRCLASS = {57R65 (18F25 19G24)},
MRNUMBER = {MR764576 (86b:57017)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR922660,
AUTHOR = {Hambleton, Ian and Milgram, R. J. and Taylor, Laurence R. and Williams,
Bruce},
TITLE = {Surgery with finite fundamental group},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {56},
YEAR = {1988},
NUMBER = {2},
PAGES = {349--379},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {57R67 (19L64 57R65)},
MRNUMBER = {MR922660 (89c:57043)},
MRREVIEWER = {A. A. Ranicki},
}
@article {MR953917,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {I}},
JOURNAL = {$K$-Theory},
FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development,
Application, and Influence of $K$-Theory in the Mathematical
Sciences},
VOLUME = {1},
YEAR = {1988},
NUMBER = {6},
PAGES = {575--626},
ISSN = {0920-3036},
CODEN = {KTHEEO},
MRCLASS = {57N35 (57R50 57R65)},
MRNUMBER = {MR953917 (89h:57012)},
MRREVIEWER = {Christopher W. Stark},
}
@article{bruce,
AUTHOR = {Williams, Bruce},
TITLE = {Quadratic K-theory and geometric topology},
}
@article {closed,
AUTHOR = {Taylor, Laurence R. and Williams, Bruce},
TITLE = {Surgery on closed manifolds},
}
@article{fin,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic K-theory finale},
YEAR = {1994},
JOURNAL = {http://www.math.uiuc/edu/K-theory/0018/},
}
@article{klein_smoothing_2010,
title = {Smoothing theory revisited},
url = {http://arxiv.org/abs/1006.2189},
abstract = {We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.},
journal = {1006.2189},
author = {John R. Klein and Bruce Williams},
month = jun,
year = {2010},
keywords = {Mathematics - Algebraic Topology, Mathematics - Geometric Topology},
}
@article{math.AT/0705.0930,
title = {The fundamental theorem for the algebraic {K}-theory of spaces. III.
the nil-term},
author = {John R. Klein and Bruce Williams},
eprint = {arXiv:math.AT/0705.0930},
}
@article {ww3,
AUTHOR = {Weiss, Michael and Williams, Bruce},
TITLE = {Automorphisms of manifolds and algebraic {$K$}-theory. {III}},
}
@article {MR0146832,
AUTHOR = {Williams, R. F.},
TITLE = {A useful functor and three famous examples in topology},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {106},
YEAR = {1963},
PAGES = {319--329},
ISSN = {0002-9947},
MRCLASS = {55.25},
MRNUMBER = {0146832 (26 \#4352)},
MRREVIEWER = {H. Suzuki},
}
@article {MR2263053,
AUTHOR = {Silver, Daniel S. and Williams, Susan G.},
TITLE = {Twisted {A}lexander polynomials detect the unknot},
JOURNAL = {Algebr. Geom. Topol.},
FJOURNAL = {Algebraic \& Geometric Topology},
VOLUME = {6},
YEAR = {2006},
PAGES = {1893--1901 (electronic)},
ISSN = {1472-2747},
MRCLASS = {57M25 (57M27)},
MRNUMBER = {MR2263053 (2007g:57015)},
MRREVIEWER = {Richard John Hadji},
}
@article {MR0184242,
AUTHOR = {Williamson, Robert E.},
TITLE = {Cobordism of combinatorial manifolds},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {83},
YEAR = {1966},
PAGES = {1--33},
MRCLASS = {57.10},
MRNUMBER = {MR0184242 (32 \#1715)},
MRREVIEWER = {M. W. Hirsch},
}
@article {MR2542837,
AUTHOR = {Wilson, Robert A.},
TITLE = {Octonions and the {L}eech lattice},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {322},
YEAR = {2009},
NUMBER = {6},
PAGES = {2186--2190},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {17A35 (05E18 11H06 11R52)},
MRNUMBER = {2542837 (2010j:17003)},
MRREVIEWER = {Rold{\~a}o da Rocha},
DOI = {10.1016/j.jalgebra.2009.03.021},
URL = {http://dx.doi.org/10.1016/j.jalgebra.2009.03.021},
}
@book{1035.00005,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Sherlock Holmes in Babylon and other tales of mathematical history.}",
language="English",
publisher="{Washington, DC: The Mathematical Association of America (MAA). x,
387~p. \$~49.95 }",
year="2004",
abstract="{The papers on mathematical history in this anthology first appeared
in the American Mathematical Monthly (AMM), Mathematics Magazine (MM) and
the College Mathematics Journal (CMJ) during the period 1913--2002.
Occasionally, two papers on the same topic allow the reader to compare
historical perspectives. For example, the volume opens with two Monthly
papers on the Plimpton 322 tablet, one by R. C. Buck in 1980 and the other
by E. Robson in 2002. This is followed by a survey of Greek mathematics (600
BC - 600 AD) by M. Dehn (AMM, 1943-1944), an article on Diophantes by J. D.
Swift (AMM, 1956) and two articles on Hypatia by A. W. Richeson (MM, 1940)
and M. A. B. Deakin (AMM, 1994). This section on ancient mathematics is
rounded out by two articles on Chinese mathematics by F. Swetz (MM, 1979)
and P. D. Straffin (MM, 1998) and three on indigenous American mathematics
by W. C. Eells (AMM, 1913), A. W. Richeson (AMM, 1933) and M. Ascher (MM,
1992). \par The second section covers Medieval and Renaissance Mathematics
and treats three independent discoveries of the series formula for $\pi/4$
by R. Roy (MM, 1990), ideas of calculus in Islam and India by V. J. Katz
(MM, 1995), Indian contributions to calculus by D. Bressoud (CMJ, 2002),
al-Kashi's determination of $\sin 1^{\circ}$ by F. Riahi (CMJ, 1995),
Fibonacci's {\it Liber Quadratorum} by R. B. McClenon (AMM, 1919), the
algorist-abacist controversy in Europe by B. E. Reynolds (CMJ, 1993), the
Cardan-Tartaglia controversy by M. A. Nordgaard (MM, 1937--1938), Bombelli's
algebra by A. Arcavi and M. Bruckheimer (CMJ, 1991) and the first
mathematics book in America (Mexico, 1556) by D. E. Smith (AMM, 1921). \par
The third section on the seventeenth century focussed mainly on European
analysis. Here one finds articles on the integral of the secant by V. F.
Rickey and P. M. Tuchinsky (MM, 1980), the cycloid by E. A. Whitman (AMM,
1943), Descartes by J. Grabiner (MM, 1955) and by D. Dennis (MM, 1997),
James Gregory by M. Dehn and E. D. Hellinger (AMM, 1943), the evolution of
the derivative concept by J. V. Grabiner (MM, 1995), Roberval and Newton on
tangents by P. R. Wolfson (AMM, 2001), the logarithmic series by J. E.
Hofmann (MM, 1939), Newton by V. F. Rickey (CMJ, 1987), by B. Porciau (AMM,
1997), by C. B. Boyer (AMM, 1949) and by C. Christensen (CMJ, 1996), and
Leibniz by R. B. McClenon (AMM, 1923) and by D. Dennis and J. Confrey (CMJ,
1995). \par The final section takes us into the eighteenth century, with
papers on Brook Taylor and linear perspective by P. S. Jones (AMM, 1951),
fluxions by J. Grabiner (AMM, 1997) and by F. Cajori (AMM, 1917), the
Bernoullis and the harmonic series by W. Dunham (CMJ, 1987), the number $e$
by J. L. Coolidge (AMM, 1950) and the life and work of Euler by J. J.
Burckhardt (MM, 1983), by J. L\"utzen (MM, 1983), by W. Dunham (CMJ, 1991),
by A. P. Ferzola (CMJ, 1994) and H. M. Edwards (MM, 1983). \par The editors
provide a brief orientation for each section and suggestions for further
reading in an ``Afterword''.}",
reviewer="{Edward J. Barbeau (Toronto)}",
keywords="{history; exposition}",
classmath="{*00B60 (Collections of reprinted articles)
01A05 (General histories, source books)
26-03 (Historical (real functions))
51-03 (Historical (geometry))
}",
}
@book{1166.01003,
author="Anderson, Marlow (ed.) and Katz, Victor (ed.) and Wilson, Robin (ed.)",
title="{Who gave you the epsilon? and other tales of mathematical history.}",
language="English",
publisher="{Spectrum. Washington, DC: The Mathematical Association of America
(MAA). x, 429~p. \$~65.50 }",
year="2009",
abstract="{Lately the MAA has engaged in the custom of reprinting papers on
special topics. This book is a continuation of the bestselling ``Sherlock
Holmes in Babylon" (2004; Zbl 1035.00005), and there have been similar
collections, like ``The Genius of Euler" (2007; Zbl 1120.01009), ``Euler and
Modern Science" (translated in 2007; Zbl 1165.01010), and ``Musing of the
Masters" (2004). \par The book under review consists of a collection of 41
articles on the history of mathematics in the 19th and 20th centuries. The
articles are taken from MAA journals printed between 1900 and 2007. They are
written by well-known mathematicians (G. B. Halsted, G. H. Hardy, B. L. Van
der Waerden, H. Weyl, and others); the length of the papers runs between one
and some 20 pages. The collection is divided into analysis (10); geometry,
topology and foundations (11); algebra and number theory (16), and surveys
(4). \par There is no doubt that after decades the history of science has
made some progress, and in this book for each group such gaps are bridged by
Afterwords (2-3 pages) which give a short outlook whereas Forewords (2-3
pages) for each group embed and introduce the topics dealt with. Although
the papers are well chosen and interesting to read today, of course the
supplied frame, Fore- and Afterwords, is simply too short to be elucidating
in a satisfying way. \par Most of the articles were reviewed individually
earlier. That's why we will use three papers by way of example in order to
demonstrate the collection's advantage and disadvantage. The book opens with
Grabiner's article that gave the collection its title. This paper was
published in 1983, i.e., in a period when non-standard analysis had already
supplied other views on Cauchy, but such controversial views (in English J.
Cleave or G. Fisher, let alone D. Spalt in German) are omitted by the author
and the editors (in their Afterword). Nor is the recently published
translation of Cauchy's ``Cours d'Analyse" (1821), the first time in
English, mentioned. Grabiner states, ``Cauchy did not distinguish between
point-wise and uniform convergence" (p. 10) as well as ``But it was Cauchy
who gave rigorous definitions \dots and the modern rigorous approach to
calculus" (p. 12). If these statements (on continuity) were true, how could
Cauchy be rigorous on the basis of such vague and obviously confused
notions? Furthermore, we find two comments on the 2nd ICM in Paris in 1900,
one by Halsted (2 pp.) and the other one by Griffith (12 pp.), written a
century apart -- an interesting historical combination. \par Although the
intention of the editors is to present above all American papers in the
Afterwords, they leave the non-American reader anyhow irritated because this
concentration mostly on the U.S. book market overlooks some essential works,
like J.-P. Pier's ``Developing of Mathematics" (2000), one that surely
should be referenced.}",
reviewer="{R\"udiger Thiele (Halle)}",
keywords="{history of mathematics; 19th and 20th century}",
classmath="{*01-06 (Proceedings of conferences, etc. (history))
01A75 (Collected or selected works)
}",
}
@book {MR2590569,
AUTHOR = {Wilson, Robin J.},
TITLE = {Introduction to graph theory},
NOTE = {Fourth edition [of MR0357175]},
PUBLISHER = {Longman},
ADDRESS = {Harlow},
YEAR = {1996},
PAGES = {viii+171},
ISBN = {0-582-24993-7},
MRCLASS = {05Cxx (05-01)},
MRNUMBER = {2590569},
}
@book {MR879117,
AUTHOR = {Biggs, Norman L. and Lloyd, E. Keith and Wilson, Robin J.},
TITLE = {Graph theory. 1736--1936},
EDITION = {Second},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1986},
PAGES = {xii+239},
ISBN = {0-19-853916-9},
MRCLASS = {01A60 (01A75 05-03 05Cxx)},
MRNUMBER = {879117 (88e:01035)},
MRREVIEWER = {W. T. Tutte},
}
@article {MR2255344,
AUTHOR = {Wimmer, Harald K.},
TITLE = {Inertial signatures of {H}ermitian polynomial matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {28},
YEAR = {2006},
NUMBER = {2},
PAGES = {596--601 (electronic)},
ISSN = {0895-4798},
MRCLASS = {15A22},
MRNUMBER = {MR2255344 (2008j:15023)},
}
@article {wimmer2,
AUTHOR = {Wimmer, Harald K.},
TITLE = {Homomorphisms of modules associated with polynomial
matrices with infinite elementary divisors},
JOURNAL = {Systems and Control Letters},
VOLUME = {44},
YEAR = {2001},
PAGES = {333--337},
}
@article {wimmer3,
AUTHOR = {Wimmer, Harald K.},
TITLE = {Polynomial matrices and dualities},
JOURNAL = {Systems and Control Letters},
VOLUME = {1},
YEAR = {1981},
PAGES = {200-203},
}
@article {wimmer4,
AUTHOR = {Wimmer, Harald K.},
TITLE = {Inertial signatures of hermitian polynomial matrices},
JOURNAL = {Siam J. Matrix Anal. Appl.},
VOLUME = {28},
YEAR = {2006},
PAGES = {596--601},
}
@article {wimmer5,
AUTHOR = {Wimmer, Harald K.},
TITLE = {The structure of nonsingular polynomial matrices},
JOURNAL = {Mathematical Systems Theory},
VOLUME = {14},
YEAR = {1981},
PAGES = {367--379},
}
@article {MR0310912,
AUTHOR = {Winkelnkemper, H. E.},
TITLE = {Manifolds as open books},
JOURNAL = {Bull. Amer. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical Society},
VOLUME = {79},
YEAR = {1973},
PAGES = {45--51},
ISSN = {0002-9904},
MRCLASS = {57D65 (57D15)},
MRNUMBER = {0310912 (46 \#10010)},
MRREVIEWER = {C. H. Edwards, Jr.},
}
@article{math.AT/0609220,
title = {{Homotopy Transition Cocycles}},
author = {James Wirth and Stasheff, James D.},
eprint = {arXiv:math.AT/0609220},
}
@article {MR0343260,
AUTHOR = {Wirthm{\"u}ller, Klaus},
TITLE = {Equivariant homology and duality},
JOURNAL = {Manuscripta Math.},
FJOURNAL = {Manuscripta Mathematica},
VOLUME = {11},
YEAR = {1974},
PAGES = {373--390},
ISSN = {0025-2611},
MRCLASS = {55B25 (55C05)},
MRNUMBER = {MR0343260 (49 \#8004)},
MRREVIEWER = {W. D. Neumann},
}
@article {MR0375297,
AUTHOR = {Wirthm{\"u}ller, Klaus},
TITLE = {Equivariant {$S$}-duality},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {26},
YEAR = {1975},
NUMBER = {4},
PAGES = {427--431},
ISSN = {0003-889X},
MRCLASS = {55E10},
MRNUMBER = {MR0375297 (51 \#11493)},
MRREVIEWER = {Czes Kosniowski},
}
@article {MR612872,
AUTHOR = {Wissemann-Hartmann, Cornelia},
TITLE = {Spherical fibrations and manifolds},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {177},
YEAR = {1981},
NUMBER = {2},
PAGES = {187--192},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57P10 (55R25)},
MRNUMBER = {612872 (82e:57006)},
MRREVIEWER = {H. Osborn},
DOI = {10.1007/BF01214198},
URL = {http://dx.doi.org/10.1007/BF01214198},
}
@article{0015.05701,
author="Witt, Ernst",
title="{Theorie der quadratischen Formen in beliebigen K\"orpern.}",
language="German",
journal="J. Reine Angew. Math. ",
volume="176",
pages="31-44",
year="1936",
keywords="{Algebra, number theory}",
}
@article {MR0067079,
AUTHOR = {Klingenberg, Wilhelm and Witt, Ernst},
TITLE = {\"{U}ber die {A}rfsche {I}nvariante quadratischer {F}ormen mod
{$2$}},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {193},
YEAR = {1954},
PAGES = {121--122},
ISSN = {0075-4102},
MRCLASS = {09.0X},
MRNUMBER = {MR0067079 (16,667c)},
MRREVIEWER = {C. Arf},
}
@article {MR990772,
AUTHOR = {Witten, Edward},
TITLE = {Quantum field theory and the {J}ones polynomial},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {121},
YEAR = {1989},
NUMBER = {3},
PAGES = {351--399},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {57M25 (17B67 57N10 58D15 58D30 81E40)},
MRNUMBER = {MR990772 (90h:57009)},
MRREVIEWER = {Daniel S. Freed},
}
@article {MR1137777,
AUTHOR = {Douglas, Ronald G. and Wojciechowski, Krzysztof P.},
TITLE = {Adiabatic limits of the {$\eta$}-invariants. {T}he
odd-dimensional {A}tiyah-{P}atodi-{S}inger problem},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {142},
YEAR = {1991},
NUMBER = {1},
PAGES = {139--168},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {58G25 (58G11 58G20)},
MRNUMBER = {MR1137777 (92j:58110)},
MRREVIEWER = {Peter Haskell},
URL = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104248492},
}
@article {MR1386311,
AUTHOR = {Lesch, Matthias and Wojciechowski, Krzysztof P.},
TITLE = {On the {$\eta$}-invariant of generalized
{A}tiyah-{P}atodi-{S}inger boundary value problems},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {40},
YEAR = {1996},
NUMBER = {1},
PAGES = {30--46},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {58G20 (58G10 58G25)},
MRNUMBER = {MR1386311 (97d:58194)},
MRREVIEWER = {Kenro Furutani},
}
@article {MR1800067,
AUTHOR = {Scott, S. G. and Wojciechowski, Krzysztof P.},
TITLE = {The {$\zeta$}-determinant and {Q}uillen determinant for a
{D}irac operator on a manifold with boundary},
JOURNAL = {Geom. Funct. Anal.},
FJOURNAL = {Geometric and Functional Analysis},
VOLUME = {10},
YEAR = {2000},
NUMBER = {5},
PAGES = {1202--1236},
ISSN = {1016-443X},
CODEN = {GFANFB},
MRCLASS = {58J52 (58J32)},
MRNUMBER = {MR1800067 (2001k:58067)},
MRREVIEWER = {Yuri A. Kordyukov},
DOI = {10.1007/PL00001651},
URL = {http://dx.doi.org/10.1007/PL00001651},
}
@article{math.RA/0503538,
title = {{Generalized Arf invariants and reduced power operations in
cyclic homology}},
author = {Paul M. H. Wolters},
eprint = {arXiv:math.RA/0503538},
}
@article {MR0488094,
AUTHOR = {Wood, R. M. W.},
TITLE = {Framing the exceptional {L}ie group {$G\sb{2}$}},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {15},
YEAR = {1976},
NUMBER = {4},
PAGES = {303--320},
ISSN = {0040-9383},
MRCLASS = {57D90 (55E40)},
MRNUMBER = {MR0488094 (58 \#7665)},
MRREVIEWER = {J. F. Adams},
}
@article {MR1643834,
AUTHOR = {Wood, R. M. W.},
TITLE = {Problems in the {S}teenrod algebra},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {30},
YEAR = {1998},
NUMBER = {5},
PAGES = {449--517},
ISSN = {0024-6093},
CODEN = {LMSBBT},
MRCLASS = {55S10},
MRNUMBER = {1643834 (99h:55028)},
MRREVIEWER = {Franklin P. Peterson},
DOI = {10.1112/S002460939800486X},
URL = {http://dx.doi.org/10.1112/S002460939800486X},
}
@article {MR1671192,
AUTHOR = {Agnihotri, S. and Woodward, C.},
TITLE = {Eigenvalues of products of unitary matrices and quantum
{S}chubert calculus},
JOURNAL = {Math. Res. Lett.},
FJOURNAL = {Mathematical Research Letters},
VOLUME = {5},
YEAR = {1998},
NUMBER = {6},
PAGES = {817--836},
ISSN = {1073-2780},
MRCLASS = {14N35 (14H60 14N15)},
MRNUMBER = {MR1671192 (2000a:14066)},
MRREVIEWER = {Andreas Gathmann},
}
@book {MR2207421,
AUTHOR = {Kirwan, Frances and Woolf, Jonathan},
TITLE = {An introduction to intersection homology theory},
EDITION = {Second},
PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL},
YEAR = {2006},
PAGES = {xiv+229},
ISBN = {978-1-58488-184-1; 1-58488-184-4},
MRCLASS = {32S60 (14F43 55-02 55N33)},
MRNUMBER = {MR2207421 (2006k:32061)},
MRREVIEWER = {Laurentiu G. Maxim},
}
@preprint{woolf,
AUTHOR = "Jonathan Woolf",
TITLE = "Witt groups of sheaves on topological spaces",
}
@article {MR2728041,
AUTHOR = {Erickson, Jeff and Worah, Pratik},
TITLE = {Computing the shortest essential cycle},
JOURNAL = {Discrete Comput. Geom.},
}
@article {MR2434347,
AUTHOR = {Joachim, M. and Wraith, D. J.},
TITLE = {Exotic spheres and curvature},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {45},
YEAR = {2008},
NUMBER = {4},
PAGES = {595--616},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {57Rxx (53Cxx)},
MRNUMBER = {MR2434347},
}
@book {MR1913879,
AUTHOR = {Mumford, David and Series, Caroline and Wright, David},
TITLE = {Indra's pearls},
NOTE = {The vision of Felix Klein},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York},
YEAR = {2002},
PAGES = {xx+396},
ISBN = {0-521-35253-3},
MRCLASS = {00A05 (20H10 28A80 30F40 37F30 52C26 68R15)},
MRNUMBER = {1913879 (2003f:00005)},
MRREVIEWER = {Vasily A. Chernecky},
}
@book {MR568909,
AUTHOR = {Hardy, G. H. and Wright, E. M.},
TITLE = {An introduction to the theory of numbers},
EDITION = {Fifth},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xvi+426},
ISBN = {0-19-853170-2; 0-19-853171-0},
MRCLASS = {10-01},
MRNUMBER = {MR568909 (81i:10002)},
MRREVIEWER = {T. M. Apostol},
}
@book {MR0055691,
AUTHOR = {Wu, Wen-Tsun},
TITLE = {Sur les classes caract\'eristiques des structures fibr\'ees
sph\'eriques},
SERIES = {Actualit\'es Sci. Ind., no. 1183},
NOTE = {Publ. Inst. Math. Univ. Strasbourg 11, pp. 5--89, 155--156},
PUBLISHER = {Hermann \& Cie, Paris},
YEAR = {1952},
PAGES = {no book paging given},
MRCLASS = {56.0X},
MRNUMBER = {0055691 (14,1112d)},
MRREVIEWER = {H. Samelson},
}
@book {MR2459288,
AUTHOR = {Wu, Wen-Tsun},
TITLE = {Selected works of {W}en-{T}sun {W}u},
PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
YEAR = {2008},
PAGES = {viii+467},
ISBN = {978-981-279-107-8; 981-279-107-8},
MRCLASS = {01A75 (01-06)},
MRNUMBER = {2459288 (2009i:01022)},
DOI = {10.1142/9789812791085},
URL = {http://dx.doi.org/10.1142/9789812791085},
}
@book {MR0115161,
AUTHOR = {Hilton, P. J. and Wylie, S.},
TITLE = {Homology theory: {A}n introduction to algebraic topology},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York},
YEAR = {1960},
PAGES = {xv+484},
MRCLASS = {55.00},
MRNUMBER = {MR0115161 (22 \#5963)},
MRREVIEWER = {A. Heller},
}
@article{chen1,
title = {Homological ring epimorphisms and recollements from exact pairs. I},
url = {http://arxiv.org/abs/1203.5168},
abstract = {Homological ring epimorphisms are often used in modern representation theory and algebraic {\$K\$-theory.} In this paper, we give some new characterizations of when a universal localization related to an `exact' pair of ring homomorphisms is homological. These characterizations are flexible and applicable to many cases, thus give rise to a wide variety of new recollements (of derived module categories) which have become of interest in and attracted increasing attentions towards to understanding invariants in algebra and geometry. As a consequence, we show that if \${\textbackslash}lambda: R{\textbackslash}ra S\$ is an injective homological ring epimorphism between commutative rings {\$R\$} and {\$S\$}, then the derived module category of the endomorphism ring of the {\$R\$-module} {\$S{\textbackslash}oplus} {S/R\$} always admits a recollement of the derived module categories of {\$R\$} and the tensor product {\$S{\textbackslash}otimes\_R} {End\_R(S/R)\$.} In particular, this result is applicable to localizations of integral domains by multiplicative sets in commutative rings.},
urldate = {2013-05-14},
journal = {{arXiv:1203.5168}},
author = {Chen, Hongxing and Xi, Changchang},
month = mar,
year = {2012},
keywords = {16, 18, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article{chen2,
title = {Homological ring epimorphisms and recollements {II:} Algebraic K-theory},
shorttitle = {Homological ring epimorphisms and recollements {II}},
url = {http://arxiv.org/abs/1212.1879},
abstract = {For a homological ring epimorphism from a ring R to another ring S, we prove that if the left R-module S has a finite-type resolution, then the algebraic K-theory space of R decomposes as a product of the ones of S and a differential graded algebra. In addition, if the homological ring epimorphism induces a recollement of derived module categories of rings, then the differential graded algebra involved can be replaced by a usual ring. This result is then applied to noncommutative localizations and to homological exact pairs introduced in the first paper of this series. For example, we get a long Mayer-Vietoris sequence of higher algebraic K-groups for homological Milnor squares, including a result of Karoubi.},
urldate = {2013-05-14},
journal = {{arXiv:1212.1879}},
author = {Chen, Hongxing and Xi, Changchang},
month = dec,
year = {2012},
keywords = {Mathematics - K-Theory and Homology, Mathematics - Representation Theory, Mathematics - Rings and Algebras},
}
@article {MR1477625,
AUTHOR = {Crabb, M. C. and Xu, Kai},
TITLE = {Quadratic spaces},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {226},
YEAR = {1997},
NUMBER = {2},
PAGES = {169--180},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {55P42},
MRNUMBER = {1477625 (98f:55006)},
MRREVIEWER = {R. E. Stong},
DOI = {10.1007/PL00004339},
URL = {http://dx.doi.org/10.1007/PL00004339},
}
@book {MR0364740,
AUTHOR = {Yakubovich, V. A. and Starzhinskii, V. M.},
TITLE = {Linear differential equations with periodic coefficients. 1,
2},
NOTE = {Translated from Russian by D. Louvish},
PUBLISHER = {Halsted Press [John Wiley \& Sons]\ New York-Toronto, Ont.,},
YEAR = {1975},
PAGES = {Vol. 1: xii+386 pp.; Vol. 2: xii+pp. 387--839},
MRCLASS = {34CXX (34A30)},
MRNUMBER = {MR0364740 (51 \#994)},
}
@article {MR714668,
AUTHOR = {Yamada, Akio and Matsumoto, Yukio},
TITLE = {Network induction and resolution diagrams of the {B}rieskorn
singularities},
JOURNAL = {Sci. Papers College Arts Sci. Univ. Tokyo},
FJOURNAL = {Scientific Papers of the College of Arts and Sciences. The
University of Tokyo},
VOLUME = {33},
YEAR = {1983},
NUMBER = {1},
PAGES = {7--32},
ISSN = {0040-8964},
MRCLASS = {32C45 (14B05 14E15)},
MRNUMBER = {MR714668 (84k:32015)},
MRREVIEWER = {Shigeki Ohyanagi},
}
@article {MR738843,
AUTHOR = {Yamada, Akio and Matsumoto, Yukio},
TITLE = {On the resolution diagrams of the {B}rieskorn singularities
{$(2,\,q,\,r)$} of type {${\rm II}$}},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {35},
YEAR = {1983},
NUMBER = {6},
PAGES = {1049--1058},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {57N99 (14B05 32C45)},
MRNUMBER = {MR738843 (85h:57020)},
MRREVIEWER = {W. D. Neumann},
}
@article {MR894383,
AUTHOR = {Yamada, Shuji},
TITLE = {The minimal number of {S}eifert circles equals the braid index
of a link},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {89},
YEAR = {1987},
NUMBER = {2},
PAGES = {347--356},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57M25},
MRNUMBER = {894383 (88f:57015)},
MRREVIEWER = {Hugh Reynolds Morton},
DOI = {10.1007/BF01389082},
URL = {http://dx.doi.org/10.1007/BF01389082},
}
@article {MR1311017,
AUTHOR = {Ranicki, Andrew and Yamasaki, Masayuki},
TITLE = {Controlled {$K$}-theory},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {61},
YEAR = {1995},
NUMBER = {1},
PAGES = {1--59},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57Q10 (19J05 19J10 57Q12)},
MRNUMBER = {MR1311017 (96b:57027)},
MRREVIEWER = {Karl Heinz Dovermann},
}
@incollection {MR2222491,
AUTHOR = {Pedersen, Erik K. and Yamasaki, Masayuki},
TITLE = {Stability in controlled {$L$}-theory},
BOOKTITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {9},
PAGES = {67--86 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2006},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR2222491 (2007h:57042)},
MRREVIEWER = {Ian Hambleton},
}
@incollection {MR2222493,
AUTHOR = {Ranicki, Andrew and Yamasaki, Masayuki},
TITLE = {Controlled {$L$}-theory},
BOOKTITLE = {Exotic homology manifolds---{O}berwolfach 2003},
SERIES = {Geom. Topol. Monogr.},
VOLUME = {9},
PAGES = {105--153 (electronic)},
PUBLISHER = {Geom. Topol. Publ., Coventry},
YEAR = {2006},
MRCLASS = {57R67 (19J25)},
MRNUMBER = {MR2222493 (2007d:57048)},
MRREVIEWER = {Erik K. Pedersen},
}
@article {MR884801,
AUTHOR = {Yamasaki, Masayuki},
TITLE = {{$L$}-groups of crystallographic groups},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {88},
YEAR = {1987},
NUMBER = {3},
PAGES = {571--602},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57N65 (18F25 19G24 19M05 58A35)},
MRNUMBER = {884801 (88c:57017)},
MRREVIEWER = {A. A. Ranicki},
DOI = {10.1007/BF01391832},
URL = {http://dx.doi.org/10.1007/BF01391832},
}
@article{ass,
AUTHOR = {Yamasaki, Masayuki},
TITLE = {Assembly in surgery theory},
}
@article {yan1,
AUTHOR = {Yan, Min},
TITLE = {Equivariant periodicity},
}
@article {MR1154705,
AUTHOR = {Yao, Dongyuan},
TITLE = {Higher algebraic {$K$}-theory of admissible abelian categories
and localization theorems},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {77},
YEAR = {1992},
NUMBER = {3},
PAGES = {263--339},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {19E08 (18E15 18F25)},
MRNUMBER = {MR1154705 (93d:19005)},
MRREVIEWER = {V. P. Snaith},
}
@incollection {MR1156514,
AUTHOR = {Weibel, Charles A. and Yao, Dongyuan},
TITLE = {Localization for the {$K$}-theory of noncommutative rings},
BOOKTITLE = {Algebraic $K$-theory, commutative algebra, and algebraic
geometry (Santa Margherita Ligure, 1989)},
SERIES = {Contemp. Math.},
VOLUME = {126},
PAGES = {219--230},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1992},
MRCLASS = {19D99 (16E20)},
MRNUMBER = {MR1156514 (92m:19006)},
MRREVIEWER = {L. N. Vaserstein},
}
@article {MR1309997,
AUTHOR = {Taniyama, Kouki and Yasuhara, Akira},
TITLE = {On {$C$}-distance of knots},
JOURNAL = {Kobe J. Math.},
FJOURNAL = {Kobe Journal of Mathematics},
VOLUME = {11},
YEAR = {1994},
NUMBER = {1},
PAGES = {117--127},
ISSN = {0289-9051},
MRCLASS = {57M25 (57Q60)},
MRNUMBER = {MR1309997 (95j:57010)},
MRREVIEWER = {Mark Brittenham},
}
@article{nouh_torus_2001,
title = {Torus knots that cannot be untied by twisting},
url = {http://arxiv.org/abs/math/0102208},
abstract = {We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.},
journal = {math/0102208},
author = {Mohamed Ait Nouh and Akira Yasuhara},
month = feb,
year = {2001},
keywords = {{57M25} {(Primary)} {57R95} {(Secondary),} Mathematics - Geometric Topology},
}
@book {MR2136846,
TITLE = {The founders of index theory: reminiscences of {A}tiyah,
{B}ott, {H}irzebruch, and {S}inger},
AUTHOR = {Yau, S.-T.},
PUBLISHER = {International Press},
ADDRESS = {Somerville, MA},
YEAR = {2003},
PAGES = {liv+358},
ISBN = {1-57146-120-5},
MRCLASS = {01A70 (00A99 01-06 58-03 58J20)},
MRNUMBER = {MR2136846 (2005m:01027)},
}
@article {MR1259454,
AUTHOR = {Fischli, Stephan and Yavin, David},
TITLE = {Which {$4$}-manifolds are toric varieties?},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {215},
YEAR = {1994},
NUMBER = {2},
PAGES = {179--185},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {57R55 (14M25 57N13)},
MRNUMBER = {MR1259454 (95g:57045)},
MRREVIEWER = {Michel Domergue},
DOI = {10.1007/BF02571707},
URL = {http://dx.doi.org/10.1007/BF02571707},
}
@article {yeh,
AUTHOR = {Yeh, Zuei-Zong},
TITLE = {Higher inverse limits and homology theories},
YEAR = {1959},
NOTES = {Princeton Ph.D. thesis},
}
@article {MR1868694,
AUTHOR = {Byun, Yanghyun and Yi, Seunghun},
TITLE = {Product formula for self-intersection numbers},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {200},
YEAR = {2001},
NUMBER = {2},
PAGES = {313--330},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {57R42},
MRNUMBER = {MR1868694 (2002h:57036)},
MRREVIEWER = {J. P. E. Hodgson},
}
@article{schuermann_survey_2005,
title = {A survey of characteristic classes of singular spaces},
url = {http://arxiv.org/abs/math/0511175},
abstract = {A theory of characteristic classes of vector bundles and smooth manifolds plays an important role in the theory of smooth manifolds. An investigation of reasonable notions of characteristic classes of singular spaces started since a systematic study of singular spaces such as singular algebraic varieties. We make a quick survey of characteristic classes of singular varieties, mainly focusing on the functorial aspects of some important ones such as the singular versions of the Chern class, the Todd class and the {Thom--Hirzebruch's} L-class. Then we explain our recent "motivic" characteristic classes, which in a sense unify these three different theories of characteristic classes. We also discuss bivariant versions of them and characteristic classes of proalgebraic varieties, which are related to the motivic measures/integrations. Finally we explain some recent work on "stringy" versions of these theories, together with some references for "equivariant" counterparts.},
journal = {math/0511175},
author = {Schuermann, Joerg and Yokura, Shoji},
month = nov,
year = {2005},
keywords = {{14C17,} {19L10,} {32S20,} {55R40,} Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology},
}
@article {MR1127477,
AUTHOR = {Yoshida, Tomoyoshi},
TITLE = {Floer homology and splittings of manifolds},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {134},
YEAR = {1991},
NUMBER = {2},
PAGES = {277--323},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57R57 (53C07 57N10 58G10)},
MRNUMBER = {MR1127477 (92m:57041)},
MRREVIEWER = {Ronald J. Stern},
}
@article {MR1380433,
AUTHOR = {Yoshida, Toshio},
TITLE = {The polynomials on {$w\sb 1$}, {$w\sb 2$} and {$w\sb 3$} in
the universal {W}u classes},
JOURNAL = {Hiroshima Math. J.},
FJOURNAL = {Hiroshima Mathematical Journal},
VOLUME = {26},
YEAR = {1996},
NUMBER = {1},
PAGES = {189--207},
ISSN = {0018-2079},
CODEN = {HMTJAD},
MRCLASS = {55R40},
MRNUMBER = {MR1380433 (96m:55030)},
MRREVIEWER = {Francisco G{\'o}mez Ruiz},
}
@article {MR2409474,
AUTHOR = {Kobayashi, Teiichi and Yoshida, Toshio},
TITLE = {Universal {W}u classes, universal {S}tiefel-{W}hitney classes
and an endomorphism {$D\sb k$} of {$H\sp *(B{\rm O};Z\sb 2)$}},
JOURNAL = {Kochi J. Math.},
FJOURNAL = {Kochi Journal of Mathematics},
VOLUME = {3},
YEAR = {2008},
PAGES = {77--98},
ISSN = {1880-5515},
MRCLASS = {55R40 (55S05)},
MRNUMBER = {MR2409474 (2008m:55031)},
MRREVIEWER = {Donald M. Davis},
}
@article {MR594136,
AUTHOR = {Yoshida, Toshio},
TITLE = {Wu classes and unoriented bordism classes of certain
manifolds},
JOURNAL = {Hiroshima Math. J.},
FJOURNAL = {Hiroshima Mathematical Journal},
VOLUME = {10},
YEAR = {1980},
NUMBER = {3},
PAGES = {567--596},
ISSN = {0018-2079},
CODEN = {HMTJAD},
MRCLASS = {57R75},
MRNUMBER = {MR594136 (82a:57030)},
MRREVIEWER = {R. E. Stong},
}
@article {MR920709,
AUTHOR = {Yoshida, Toshio},
TITLE = {Universal {W}u classes},
JOURNAL = {Hiroshima Math. J.},
FJOURNAL = {Hiroshima Mathematical Journal},
VOLUME = {17},
YEAR = {1987},
NUMBER = {3},
PAGES = {489--493},
ISSN = {0018-2079},
CODEN = {HMTJAD},
MRCLASS = {55R45},
MRNUMBER = {920709 (89a:55029)},
MRREVIEWER = {Frederick Cohen},
URL = {http://projecteuclid.org/getRecord?id=euclid.hmj/1206129957},
}
@article {MR2947546,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {A notion of geometric complexity and its application to
topological rigidity},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {189},
YEAR = {2012},
NUMBER = {2},
PAGES = {315--357},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {57Nxx (22Fxx 53Cxx)},
MRNUMBER = {2947546},
DOI = {10.1007/s00222-011-0366-z},
URL = {http://dx.doi.org/10.1007/s00222-011-0366-z},
}
@article {guteyu2,
AUTHOR = {Guentner, Erik and Tessera, Romain and Yu, Guoliang},
TITLE = {DISCRETE GROUPS WITH FINITE DECOMPOSITION COMPLEXITY},
}
@article{semik,
AUTHOR = {Zadeh, M.E.},
TITLE ={On cut and paste invariance of Kervaire semi-characteristic},
}
@article {MR0357333,
AUTHOR = {Zagier, D.},
TITLE = {Higher dimensional {D}edekind sums},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {202},
YEAR = {1973},
PAGES = {149--172},
ISSN = {0025-5831},
MRCLASS = {10D15 (10A20 12A50 57E25)},
MRNUMBER = {MR0357333 (50 \#9801)},
MRREVIEWER = {E. Grosswald},
}
@book {MR0650832,
AUTHOR = {Hirzebruch, F. and Zagier, D.},
TITLE = {The {A}tiyah-{S}inger theorem and elementary number theory},
NOTE = {Mathematics Lecture Series, No. 3},
PUBLISHER = {Publish or Perish Inc.},
ADDRESS = {Boston, Mass.},
YEAR = {1974},
PAGES = {xii+262},
MRCLASS = {58G10 (10-02 57D20)},
MRNUMBER = {MR0650832 (58 \#31291)},
MRREVIEWER = {Harvey Cohn},
}
@incollection {MR1852188,
AUTHOR = {Kontsevich, Maxim and Zagier, D.},
TITLE = {Periods},
BOOKTITLE = {Mathematics unlimited---2001 and beyond},
PAGES = {771--808},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2001},
MRCLASS = {11-02 (11F67 11G40 11G55)},
MRNUMBER = {MR1852188 (2002i:11002)},
MRREVIEWER = {F. Beukers},
}
@article {MR0096209,
AUTHOR = {Zeeman, E. C.},
TITLE = {On the filtered differential group},
JOURNAL = {Ann. of Math. (2)},
VOLUME = {66},
YEAR = {1957},
PAGES = {557--585},
MRCLASS = {55.00 (18.00)},
MRNUMBER = {MR0096209 (20 \#2702)},
MRREVIEWER = {S. Eilenberg},
}
@article {MR0153009,
AUTHOR = {Zeeman, E. C.},
TITLE = {Dihomology. {I}. {R}elations between homology theories},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {12},
YEAR = {1962},
PAGES = {609--638},
ISSN = {0024-6115},
MRCLASS = {55.30},
MRNUMBER = {MR0153009 (27 \#2980a)},
}
@article {MR0153010,
AUTHOR = {Zeeman, E. C.},
TITLE = {Dihomology. {II}. {T}he spectral theories of a map},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {12},
YEAR = {1962},
PAGES = {639--689},
ISSN = {0024-6115},
MRCLASS = {55.30},
MRNUMBER = {MR0153010 (27 \#2980b)},
}
@article {MR0153011,
AUTHOR = {Zeeman, E. C.},
TITLE = {Dihomology. {III}. {A} generalization of the {P}oincar\'e
duality for manifolds},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {13},
YEAR = {1963},
PAGES = {155--183},
ISSN = {0024-6115},
MRCLASS = {55.30},
MRNUMBER = {MR0153011 (27 \#2980c)},
MRREVIEWER = {V. Gugenheim},
}
@article {MR0156351,
AUTHOR = {Zeeman, E. C.},
TITLE = {On the dunce hat},
JOURNAL = {Topology},
FJOURNAL = {Topology. An International Journal of Mathematics},
VOLUME = {2},
YEAR = {1964},
PAGES = {341--358},
ISSN = {0040-9383},
MRCLASS = {55.60 (55.40)},
MRNUMBER = {MR0156351 (27 \#6275)},
MRREVIEWER = {H. R. Gluck},
}
@article {MR0195085,
AUTHOR = {Zeeman, E. C.},
TITLE = {Twisting spun knots},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {115},
YEAR = {1965},
PAGES = {471--495},
ISSN = {0002-9947},
MRCLASS = {55.20},
MRNUMBER = {0195085 (33 \#3290)},
MRREVIEWER = {L. Neuwirth},
}
@article {zeemanpl,
AUTHOR = {Zeeman, E. C.},
TITLE = {Seminar on combinatorial topology},
YEAR = {1963, 1966},
NOTES = {1-4. IHES, 5-8. Warwick},
}
@article {MR1362839,
AUTHOR = {Hofer, H. and Zehnder, E.},
TITLE = {Symplectic invariants and {H}amiltonian dynamics},
BOOKTITLE = {The {F}loer memorial volume},
SERIES = {Progr. Math.},
VOLUME = {133},
PAGES = {525--544},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1995},
MRCLASS = {58F05 (57R15 58E05)},
MRNUMBER = {MR1362839 (96i:58053)},
MRREVIEWER = {Karl Friedrich Siburg},
}
@book {MR1264417,
AUTHOR = {Gelfand, I. M. and Kapranov, M. M. and Zelevinsky, A.
V.},
TITLE = {Discriminants, resultants, and multidimensional determinants},
SERIES = {Mathematics: Theory \& Applications},
PUBLISHER = {Birkh\"auser Boston Inc.},
ADDRESS = {Boston, MA},
YEAR = {1994},
PAGES = {x+523},
ISBN = {0-8176-3660-9},
MRCLASS = {14N05 (13D25 14M25 15A69 33C70 52B20)},
MRNUMBER = {1264417 (95e:14045)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR1186384,
AUTHOR = {Li, Bang He and Liu, Rong and Zhang, Ping},
TITLE = {A simplified approach to embedding problems in normal bordism
framework},
JOURNAL = {Systems Sci. Math. Sci.},
FJOURNAL = {Systems Science and Mathematical Sciences},
VOLUME = {5},
YEAR = {1992},
NUMBER = {2},
PAGES = {180--192},
ISSN = {1000-9590},
CODEN = {SMASE2},
MRCLASS = {57R40},
MRNUMBER = {MR1186384 (93i:57040)},
MRREVIEWER = {R. E. Stong},
}
@article {MR1749938,
AUTHOR = {Zhang, Weiping},
TITLE = {A mod 2 index theorem for the twisted signature operator},
JOURNAL = {Sci. China Ser. A},
FJOURNAL = {Science in China. Series A. Mathematics},
VOLUME = {42},
YEAR = {1999},
NUMBER = {12},
PAGES = {1279--1285},
ISSN = {1006-9283},
MRCLASS = {58J20},
MRNUMBER = {MR1749938 (2002c:58035)},
MRREVIEWER = {{\'E}ric Leichtnam},
DOI = {10.1007/BF02876028},
URL = {http://dx.doi.org/10.1007/BF02876028},
}
@article{zheng_homeomorphism_2011,
title = {A Homeomorphism Invariant of Polyhedra},
url = {http://arxiv.org/abs/1102.4883},
abstract = {In this paper, we define a new bigraded L-homology on finite simplicial complexes and prove that L-homology is a homeomorphism invariant of polyhedra.},
journal = {1102.4883},
author = {Qibing Zheng},
month = feb,
year = {2011},
keywords = {Mathematics - Algebraic Topology},
}
@article{zibrowius_witt_2010,
title = {Witt groups of complex cellular varieties},
url = {http://arxiv.org/abs/1011.3757},
abstract = {We show that the {Grothendieck-Witt} and Witt groups of a smooth complex cellular variety can be identified with its topological {KO-groups.} As an application, we deduce the values of the Witt groups of several families of projective homogeneous varieties, including smooth complex quadrics, spinor varieties and symplectic Grassmannians.},
journal = {1011.3757},
author = {Marcus Zibrowius},
month = nov,
year = {2010},
keywords = {{11E81,} {19L99,} Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, Mathematics - {K-Theory} and Homology},
}
@article {MR2475024,
AUTHOR = {Hanke, Bernhard and Sanyal, Raman and Schultz, Carsten and
Ziegler, G{\"u}nter M.},
TITLE = {Combinatorial {S}tokes formulas via minimal resolutions},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {116},
YEAR = {2009},
NUMBER = {2},
PAGES = {404--420},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {05A99},
MRNUMBER = {MR2475024},
DOI = {10.1016/j.jcta.2008.06.009},
URL = {http://dx.doi.org/10.1016/j.jcta.2008.06.009},
}
@book {MR1328835,
AUTHOR = {St{\"o}cker, Ralph and Zieschang, Heiner},
TITLE = {Algebraische {T}opologie},
SERIES = {Mathematische Leitf\"aden. [Mathematical Textbooks]},
EDITION = {Second},
NOTE = {Eine Einf{\"u}hrung. [An introduction]},
PUBLISHER = {B. G. Teubner},
ADDRESS = {Stuttgart},
YEAR = {1994},
PAGES = {xii+485},
ISBN = {3-519-12226-X},
MRCLASS = {55-01},
MRNUMBER = {1328835 (96b:55001)},
}
@article {MR1761426,
AUTHOR = {Bryden, J. and Hayat-Legrand, C. and Zieschang, Heiner and
Zvengrowski, P.},
TITLE = {The cohomology ring of a class of {S}eifert manifolds},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {105},
YEAR = {2000},
NUMBER = {2},
PAGES = {123--156},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N10 (55M30)},
MRNUMBER = {MR1761426 (2001d:57022)},
MRREVIEWER = {Bruno Zimmermann},
}
@book {MR1959408,
AUTHOR = {Burde, Gerhard and Zieschang, Heiner},
TITLE = {Knots},
SERIES = {de Gruyter Studies in Mathematics},
VOLUME = {5},
EDITION = {Second},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {xii+559},
ISBN = {3-11-017005-1},
MRCLASS = {57M25 (57-02)},
MRNUMBER = {MR1959408 (2003m:57005)},
}
@article {MR0035434,
AUTHOR = {Eilenberg, Samuel and Zilber, J. A.},
TITLE = {Semi-simplicial complexes and singular homology},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {51},
YEAR = {1950},
PAGES = {499--513},
ISSN = {0003-486X},
MRCLASS = {56.0X},
MRNUMBER = {0035434 (11,734e)},
MRREVIEWER = {H. Cartan},
}
@article {MR0052767,
AUTHOR = {Eilenberg, Samuel and Zilber, J. A.},
TITLE = {On products of complexes},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {75},
YEAR = {1953},
PAGES = {200--204},
ISSN = {0002-9327},
MRCLASS = {56.0X},
MRNUMBER = {MR0052767 (14,670c)},
MRREVIEWER = {H. Cartan},
}
@book {MR0210125,
AUTHOR = {Gabriel, Pierre and Zisman, M.},
TITLE = {Calculus of fractions and homotopy theory},
SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35},
PUBLISHER = {Springer-Verlag New York, Inc., New York},
YEAR = {1967},
PAGES = {x+168},
MRCLASS = {55.40 (18.00)},
MRNUMBER = {MR0210125 (35 \#1019)},
MRREVIEWER = {A. K. Bousfield},
}
@article{blagojevic_symmetric_2004,
title = {Symmetric products of surfaces; a unifying theme for topology and physics},
url = {http://arxiv.org/abs/math/0408417},
abstract = {This is a review paper about symmetric products of spaces {\$SP{\textasciicircum}n(X):=} {X{\textasciicircum}n/S\_n\$.} We focus our attention on the symmetric products of 2-manifolds and make a journey through selected topics of algebraic topology, algebraic geometry, mathematical physics, theoretical mechanics etc. where these objects play an important role, demonstrating along the way the fundamental unity of diverse fields of physics and mathematics.},
journal = {math/0408417},
author = {Pavle Blagojevic and Vladimir Grujic and Rade Zivaljevic},
month = aug,
year = {2004},
note = {Proceedings of Summer school in modern mathematical physics {(B.} Dragovic, B. Sazdovic, eds.) {SFIN,} {XV} {(A3),} Institute of Physics, Belgrade 2002},
keywords = {{52C35,} {55S15,} Mathematics - Algebraic Topology, Mathematics - Combinatorics},
}
@book {MR2216496,
AUTHOR = {Zoladek, Henryk},
TITLE = {The monodromy group},
SERIES = {Instytut Matematyczny Polskiej Akademii Nauk. Monografie
Matematyczne (New Series) [Mathematics Institute of the Polish
Academy of Sciences. Mathematical Monographs (New Series)]},
VOLUME = {67},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2006},
PAGES = {xii+580},
ISBN = {978-3-7643-7535-5; 3-7643-7535-3},
MRCLASS = {32S40 (14D05 32S65 34M35 34M40 37F75 58K10)},
MRNUMBER = {MR2216496 (2007c:32037)},
MRREVIEWER = {Jan Stevens},
}
@book {MR2111929,
AUTHOR = {Zomorodian, Afra},
TITLE = {Topology for computing},
SERIES = {Cambridge Monographs on Applied and Computational Mathematics},
VOLUME = {16},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2005},
PAGES = {xiv+243},
ISBN = {0-521-83666-2},
MRCLASS = {68-01 (54H99 57M20 57Q05 57Q45 65D18 68U05)},
MRNUMBER = {MR2111929 (2005i:68001)},
MRREVIEWER = {Bert J{\"u}ttler},
}
@article {MR2121296,
AUTHOR = {Zomorodian, Afra and Carlsson, Gunnar},
TITLE = {Computing persistent homology},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {33},
YEAR = {2005},
NUMBER = {2},
PAGES = {249--274},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {55N99 (55-04 55U10)},
MRNUMBER = {MR2121296 (2005j:55004)},
MRREVIEWER = {Donald M. Davis},
}
@book{54.0210.02,
author="Zullig, J.",
title="{Geometrische
Deutung unendlicher Kettenbruche und ihre Approximationen
durch rationale Zahlen.}",
language="German",
year="1928",
}
@article {MR1761426,
AUTHOR = {Bryden, J. and Hayat-Legrand, C. and Zieschang, Heiner and
Zvengrowski, P.},
TITLE = {The cohomology ring of a class of {S}eifert manifolds},
JOURNAL = {Topology Appl.},
FJOURNAL = {Topology and its Applications},
VOLUME = {105},
YEAR = {2000},
NUMBER = {2},
PAGES = {123--156},
ISSN = {0166-8641},
CODEN = {TIAPD9},
MRCLASS = {57N10 (55M30)},
MRNUMBER = {MR1761426 (2001d:57022)},
MRREVIEWER = {Bruno Zimmermann},
}