El. knyga: Surveys on Surgery Theory, Volume 1: Papers Dedicated to C. T. C. Wall

Edited by Andrew Ranicki, Edited by Jonathan Rosenberg, Edited by Sylvain Cappell

Formatas: 448 pages
Serija: Annals of Mathematics Studies
Išleidimo metai: 08-Sep-2014
Leidėjas: Princeton University Press
Kalba: eng
ISBN-13: 9781400865192

Kitos knygos pagal šią temą:

Analytic topology

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Formatas: 448 pages
Serija: Annals of Mathematics Studies
Išleidimo metai: 08-Sep-2014
Leidėjas: Princeton University Press
Kalba: eng
ISBN-13: 9781400865192

Kitos knygos pagal šią temą:

Analytic topology

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Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

Preface vii C. T. C. Walls contributions to the topology of manifolds 3(14) C. T. C. Walls publication list 17(8) Classification of (n -- 1)-connected 2n-dimensional manifolds and the discovery of exotic spheres 25(6) J. Milnor Surgery in the 1960s 31(10) S. Novikov Differential topology of higher dimensional manifolds 41(32) W. Browder Differentiable structures on manifolds 73(32) T. Lance The Kervaire invariant and surgery theory 105(16) E. Brown A guide to the classification of manifolds 121(14) M. Kreck Poincare duality spaces 135(32) J. Klein Poincare duality groups 167(28) M. Davis Manifold aspects of the Novikov Conjecture 195(30) J. Davis A guide to the calculation of the surgery obstruction groups for finite groups 225(50) I. Hambleton L. Taylor Surgery theory and infinite fundamental groups 275(32) C. Stark Continuously controlled surgery theory 307(16) E. Pedersen Homology manifolds 323(22) W. Mio A survey of applications of surgery to knot and link theory 345(20) J. Levine K. Orr Surgery and C*-algebras 365(14) J. Roe The classification of Aloff-Wallach manifolds and their generalizations 379(30) R. J. Milgram Elliptic cohomology 409 C. Thomas

Sylvain Cappell is Professor of Mathematics at New York University and has received Sloan Foundation and Guggenheim awards. Andrew Ranick is Professor of Mathematics at the University of Edinburgh. He is the author of several books, including Exact Sequences in the Algebraic Theory of Surgery (Princeton). Jonathan Rosenberg is Professor of Mathematics at the University of Maryland. He has authored or coauthored several books on K-theory, topology, Lie group representations, and mathematical software.

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