Algebraic L Theory, Toplocl Manifld: 102 (Cambridge Tracts in Mathematics, Series Number 102) - Image 1

£53.19

Cambridge University Press Algebraic L Theory, Toplocl Manifld: 102 (Cambridge Tracts in Mathematics, Series Number 102)

Name: Algebraic L Theory, Toplocl Manifld: 102 (Cambridge Tracts in Mathematics, Series Number 102)
Brand: Cambridge University Press
Price: 47.04 GBP
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Applied Mathematics

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This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré 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 Poincaré 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. The book is designed as an introduction to the subject, accessible to graduate students in topology; no previous acquaintance with surgery theory is assumed, and every algebraic concept is justified by its occurrence in topology.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521055210
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 21 August 2008
Listed Since: 13 November 2007

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Cambridge University Press Algebraic L Theory, Toplocl Manifld: 102 (Cambridge Tracts in Mathematics, Series Number 102)

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