Automorphisms of Manifolds and Algebraic K-Theory: Part III

Michael S. Weiss; E. Bruce Williams

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arXiv · 1308.4047

Automorphisms of Manifolds and Algebraic K-Theory: Part III

Michael S. Weiss·E. Bruce Williams

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Abstract

The structure space S(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. We construct a highly connected map from S(M) to a concoction of algebraic L-theory and algebraic K-theory spaces associated with M. The construction refines the well-known surgery theoretic analysis of the block structure space of M in terms of L-theory.

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Michael S. Weiss, E. Bruce Williams. 2013-08-19. Automorphisms of Manifolds and Algebraic K-Theory: Part III. https://arxiv.org/abs/1308.4047

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