Surveys on Surgery Theory
Papers Dedicated to C.T.C. Wall Volume 2
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Surveys on Surgery Theory by Sylvain Cappell
Book DescriptionSurgery 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.
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Book DetailsISBN: 9780691088150
(229mm x 152mm x 25mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 3-Jan-2001
Country of Publication: United States
Books By Author Sylvain Cappell
Surveys on Surgery Theory, Paperback (December 1999)» View all books by Sylvain Cappell
Surgery theory is the basis for the classification theory of manifolds. There have been extraordinary accomplishments in that time, which have led to varied interactions with algebra, analysis, and geometry. This work is of interest to those interested in topology, not only graduate students and mathematicians, but also mathematical physicists.
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Author Biography - Sylvain Cappell
Sylvain Cappell is Professor of Mathematics at New York University and has received Sloan Foundation and Guggenheim awards. Andrew Ranicki is Professor of Algebraic Surgery 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 and has authored books on K-theory, topology. Lie group representations, and mathematical software.
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