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

Surveys on Surgery Theory

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

By: Sylvain Cappell (Editor), Andrew Ranicki (Editor), Jonathan Rosenberg (Editor)

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Published: 10th January 2000
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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.

The Editors Prefacep. vii
The Editors contributions to the topology of manifoldsp. 3
publication listp. 17
Classification of (n - l)-connected 2n-dimensional manifolds and the discovery of exotic spheresp. 25
Surgery in the 1960'sp. 31
Differential topology of higher dimensional manifoldsp. 41
Differentiable structures on manifoldsp. 73
The Kervaire invariant and surgery theoryp. 105
A guide to the classification of manifoldsp. 121
Poincare duality spacesp. 135
Poincare duality groupsp. 167
Manifold aspects of the Novikov Conjecturep. 195
A guide to the calculation of the surgery obstruction groups for finite groupsp. 225
Surgery theory and infinite fundamental groupsp. 275
Continuously controlled surgery theoryp. 307
Homology manifoldsp. 323
A survey of applications of surgery to knot and link theoryp. 345
Surgery and C*-algebrasp. 365
The classification of Aloff-Wallach manifolds and their generalizationsp. 379
Elliptic cohomologyp. 409
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780691049380
ISBN-10: 0691049386
Series: Annals of Mathematics Studies, 145 : Book 1
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 448
Published: 10th January 2000
Country of Publication: US
Dimensions (cm): 23.5 x 15.88  x 2.54
Weight (kg): 0.64