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Automorphisms of manifolds and algebraic K-theory: part III / Michael S. Weiss and Bruce E. Williams.

By: Contributor(s): Material type: TextTextSeries: 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)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
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.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 135875
Total holds: 0

"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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