Surveys on Surgery Theory (AM-149), Volume 2 :Papers Dedicated to C.T.C. Wall. (AM-149) ( Annals of Mathematics Studies )

Publication subTitle :Papers Dedicated to C.T.C. Wall. (AM-149)

Publication series :Annals of Mathematics Studies

Author: Cappell Sylvain;Ranicki Andrew;Rosenberg Jonathan;  

Publisher: Princeton University Press‎

Publication year: 2014

E-ISBN: 9781400865215

P-ISBN(Paperback): 9780691088143

Subject: O189 topology (geometry of situation)

Keyword: 数学

Language: ENG

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Description

Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry.


Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four.


In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.

Chapter

A survey of Wall's finiteness obstruction

An introduction to algebraic surgery

Automorphisms of manifolds

Spaces of smooth embeddings, disjunction and surgery

Surgery theoretic methods in group actions

Surgery and stratified spaces

Metrics of positive scalar curvature and connections with surgery

A survey of 4-manifolds through the eyes of surgery

Problems in 4-dimensional topology

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