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.
General
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