Algebraic L-theory and Topological Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Ranicki, A. A. 作者

译者

2008-3 出版日期

372 页数

$ 97.18 价格

Cambridge Tracts in Mathematics 丛书系列

9780521055215 图书编码

Algebraic L-theory and Topological Manifolds 在线电子书图书标签: 数学 and Topological Manifolds L-theory Algebraic

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Algebraic L-theory and Topological Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Algebraic L-theory and Topological Manifolds 在线电子书图书描述

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 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. 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.

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