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Algebraic L-theory and Topological Manifolds on Hardback by A.A. Ranicki
Algebraic L-theory and Topological Manifolds on Hardback by A.A. Ranicki
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Algebraic L-theory and Topological Manifolds

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Description

This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic structure in the chain homotopy type of the universal cover. The difference between the homotopy types of manifolds and Poincare duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance of the higher signatures; any other formulation necessarily factors through this one.
Release date Australia
December 10th, 1992
Author
Audience
  • Professional & Vocational
Pages
372
Dimensions
159x236x23
ISBN-13
9780521420242
Product ID
2362570

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