Surveys on surgery theory. Vol. 1 : papers dedicated to C.T.C. Wall

Surveys on surgery theory. Vol. 1 : papers dedicated to C.T.C. Wall / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg.

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 lament...

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Bibliografski detalji
Daljnji autori: Cappell, Sylvain E. (Urednik), Ranicki, Andrew, 1948- (Urednik), Rosenberg, Jonathan M. (Jonathan Micah), 1951- (Urednik)
Format: e-knjiga
Jezik:English
Izdano: Princeton, N.J. : Princeton University Press, 2000.
Serija:Annals of mathematics studies ; no. 145.
Teme:
Surgery (Topology)
Online pristup:Click for online access
Sadržaj:
  • Cover; Title; Copyright; Contents; Preface; C.T.C. Wall''s contributions to the topology of manifolds; C.T.C. Wall''s publication list; Classification of (n- I)-connected 2n-dimensional manifolds and the discovery of exotic spheres; Surgery in the 1960''s; Differential topology of higher dimensional manifolds; Differentiable structures on manifolds; The Kervaire invariant and surgery theory; A guide to the classification of manifolds; Poincaré duality spaces; Poincaré duality groups; Manifold aspects of the Novikov Conjecture.
  • A guide to the calculation of the surgery obstruction groups for finite groupsSurgery theory and infinite fundamental groups; Continuously controlled surgery theory; Homology manifolds; A survey of applications of surgery to knot and link theory; Surgery and C* -algebras; The classification of Aloff-Wallach manifolds and their generalizations; Elliptic cohomology.

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