Surveys on Surgery Theory (AM-145), Volume 1: Papers Dedicated to C. T. C. Wall. (AM-145)

Published by Princeton University Press 2000

Surveys on Surgery Theory (AM-145), Volume 1

Papers Dedicated to C. T. C. Wall. (AM-145)

Edited by: Sylvain Cappell , Andrew Ranicki and Jonathan Rosenberg

Volume 145 in the series Annals of Mathematics Studies

https://doi.org/10.1515/9781400865192

Overview
Contents

About this book

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.

Author / Editor information

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.

Topics

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	v
Preface Requires Authentication Unlicensed Licensed Download PDF	vii
C. T. C. Wall’s contributions to the topology of manifolds Sylvain Cappell, Andrew Ranicki and Jonathan Rosenberg Requires Authentication Unlicensed Licensed Download PDF	1
C. T. C. Wall’s publication list Sylvain Cappell, Andrew Ranicki and Jonathan Rosenberg Requires Authentication Unlicensed Licensed Download PDF	17
Classification of ( n - 1 )-connected 2n-dimensional manifolds and the discovery of exotic spheres John Milnor Requires Authentication Unlicensed Licensed Download PDF	25
Surgery in the 1960’s S. P. Novikov Requires Authentication Unlicensed Licensed Download PDF	31
Differential topology of higher dimensional manifolds William Browder Requires Authentication Unlicensed Licensed Download PDF	41
Differentiable structures on manifolds Timothy Lance Requires Authentication Unlicensed Licensed Download PDF	73
The Kervaire invariant and surgery theory Edgar H. Brown Requires Authentication Unlicensed Licensed Download PDF	105
A guide to the classification of manifolds Matthias Kreck Requires Authentication Unlicensed Licensed Download PDF	121
Poincaré duality spaces John R. Klein Requires Authentication Unlicensed Licensed Download PDF	135
Poincaré duality groups Michael W. Davis Requires Authentication Unlicensed Licensed Download PDF	167
Manifold aspects of the Novikov Conjecture James F. Davis Requires Authentication Unlicensed Licensed Download PDF	195
A guide to the calculation of the surgery obstruction groups for finite groups Ian Hambleton and Laurence R. Taylor Requires Authentication Unlicensed Licensed Download PDF	225
Surgery theory and infinite fundamental groups C. W. Stark Requires Authentication Unlicensed Licensed Download PDF	275
Continuously controlled surgery theory Erik Kjrer Pedersen Requires Authentication Unlicensed Licensed Download PDF	307
Homology manifolds Washington Mio Requires Authentication Unlicensed Licensed Download PDF	323
A survey of applications of surgery to knot and link theory Jerome Levine and Kent E. Orr Requires Authentication Unlicensed Licensed Download PDF	345
Surgery and C-algebras John Roe Requires Authentication Unlicensed Licensed Download PDF	365
The classification of Aloff-Wallach manifolds and their generalizations R. James Milgram Requires Authentication Unlicensed Licensed Download PDF	379
Elliptic cohomology Charles B. Thomas Requires Authentication Unlicensed Licensed Download PDF	409

Language: English
Publisher: Princeton University Press
Audience: Professional and scholarly;College/higher education;
Pages
- Main content: 448

eBook

Published: September 8, 2014
ISBN: 9781400865192