英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形剑桥数学丛书系列英文版进口英语原版书籍

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648 648 九五品

库存2件

山东济南

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作者A. A. Ranicki

出版社Cambridge University Press

ISBN9780521055215

出版时间2008-03

装帧平装

定价648元

货号YB-87372

上书时间2024-06-29

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商品描述: 内容摘要
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.

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英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形 剑桥数学丛书系列 英文版 进口英语原版书籍