Automorphisms of manifolds and algebraic K-theory: part III / Michael S. Weiss and Bruce E. Williams.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v 231, no 1084.Publication details: Providence : American Mathematical Society, c2014.Description: v, 110 p. ; 26 cmISBN:- 9781470409814 (pbk. : acidfree paper : pt. 3)
- 510 23 Am512
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"Volume 231, number 1084 (first of 5 numbers), September 2014."
Includes bibliographical references (pages 109-110).
1. Introduction--
2. Outline of proof--
3. Visible L-theory revisited--
4. The hyperquadratic L-theory of a point--
5. Excision and restriction in controlled L-theory--
6. control and visible L-theory--
7. Control, stabilization and change of decoration--
8. Spherical fibrations and twisted duality--
9. Homotopy invariant characteristics and signatures--
10. Excisive characteristics and signatures--
11. Algebraic approximations to structure spaces: set-up--
12. Algebraic approximations to structure spaces: constructions--
13. Algebraic models for structure spaces: proofs--
Appendices--
Bibliography.
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. The authors 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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