### Automorphisms of Manifolds and Algebraic K-theory: Part III

Category: E-Book

Automorphisms of Manifolds and Algebraic K-theory: Part III (Memoirs of the American Mathematical Society) by Michael S. Weiss, Bruce E. Williams
2014 | ISBN: 147040981X | English | 110 pages | PDF | 0.8 MB

The structure space $\mathcal{S}(M)$ of a closed topological $m$-manifold $M$ classifies bundles whose fibers are closed $m$-manifolds equipped with a homotopy equivalence to $M$. The authors construct a highly connected map from $\mathcal{S}(M)$ 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.