Automorphisms of manifolds and algebraic K-theory: I |
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Authors: | Michael Weiss and Bruce Williams |
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Affiliation: | (1) SFB 170, Math. Institut, Bunsenstrasse 3-5, 3400 G?ttingen, West Germany;(2) Mathematics Department, University of Notre Dame, 46556 Notre Dame, IN, USA |
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Abstract: | We investigate the homotopy type of (M)/TOP(M), where M is a compact manifold, TOP(M) is the simplicial group of homeomorphisms of M which restrict to the identity on ∂M, and is the simplicial group of block homeomorphisms of M which restrict to the identity on ∂M. In the so-called topological concordance stable range of M, we obtain an expression in terms of the topological Whitehead spectrum of M. If M is smooth, we also investigate the homotopy type of (M)/DIFF(M); in the smooth concordance stable range of M, it has an expression in terms of the smooth Whitehead spectrum of M. |
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Keywords: | Diffeomorphism homeomorphism concordance bounded homeomorphism coordinate free spectrum |
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