Automorphisms of Manifolds and Algebraic K-Theory: Part III

Michael Weiss, Bruce E. Williams

Research output: Book/ReportBook

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.
Original languageEnglish
Place of PublicationRhode Island
PublisherAmerican Mathematical Society
Number of pages110
ISBN (Electronic)9781470417208
ISBN (Print)9781470409814
DOIs
Publication statusPublished - 1 Sep 2014

Publication series

NameMemoirs of the American Mathematical Society
PublisherAmerican Mathematical Society
No.1084
Volume231
ISSN (Print)0065-9266
ISSN (Electronic)1947-6221

Fingerprint

Algebraic K-theory
Automorphisms
Closed
Homotopy Equivalence
Block Structure
Fiber Bundle
Surgery
Classify

Cite this

Weiss, M., & Williams, B. E. (2014). Automorphisms of Manifolds and Algebraic K-Theory: Part III. (Memoirs of the American Mathematical Society; Vol. 231, No. 1084). Rhode Island: American Mathematical Society. https://doi.org/10.1090/memo/1084

Automorphisms of Manifolds and Algebraic K-Theory : Part III. / Weiss, Michael; Williams, Bruce E.

Rhode Island : American Mathematical Society, 2014. 110 p. (Memoirs of the American Mathematical Society; Vol. 231, No. 1084).

Research output: Book/ReportBook

Weiss, M & Williams, BE 2014, Automorphisms of Manifolds and Algebraic K-Theory: Part III. Memoirs of the American Mathematical Society, no. 1084, vol. 231, American Mathematical Society, Rhode Island. https://doi.org/10.1090/memo/1084
Weiss M, Williams BE. Automorphisms of Manifolds and Algebraic K-Theory: Part III. Rhode Island: American Mathematical Society, 2014. 110 p. (Memoirs of the American Mathematical Society; 1084). https://doi.org/10.1090/memo/1084
Weiss, Michael ; Williams, Bruce E. / Automorphisms of Manifolds and Algebraic K-Theory : Part III. Rhode Island : American Mathematical Society, 2014. 110 p. (Memoirs of the American Mathematical Society; 1084).
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