Automorphisms of Manifolds and Algebraic K-Theory: Part III
Algebraic Topology
2013-08-20 v1
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.
Keywords
Cite
@article{arxiv.1308.4047,
title = {Automorphisms of Manifolds and Algebraic K-Theory: Part III},
author = {Michael S. Weiss and E. Bruce Williams},
journal= {arXiv preprint arXiv:1308.4047},
year = {2013}
}
Comments
approx 95 pages