Algebraic Topology and Its Applications - ISBN:0387940987

Algebraic Topology and Its Applications

Date: 21 April 2011, 05:00

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In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to graduate students.
Contents: Gunnar Carlsson, Proper homotopy theory and transfers and infinite groups (1--14); Ralph L. Cohen and R. James Milgram, The homotopy type of gauge-theoretic
moduli spaces (15--55); Steven C. Ferry, Ian Hambleton and Erik K. Pedersen, A survey of bounded surgery theory and applications (57--80); Stefan Jackowski, James
McClure and Bob Oliver [Robert Oliver], Homotopy theory of classifying spaces of compact Lie groups (81--123); Nicholas J. Kuhn, Morita equivalence, ${\rm GL}_n({\bf
F}_q)$-modules, and the Steenrod algebra (125--131); Chun-Nip Lee and Norihiko Minami, Segal's Burnside ring conjecture for compact Lie groups (133--161); Stephen A.
Mitchell, On the Lichtenbaum-Quillen conjectures from a stable homotopy-theoretic viewpoint (163--240); Jonathan Rosenberg and Stephan Stolz, Manifolds of positive
scalar curvature (241--267).

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