Algebraic L-Theory and Topological Manifolds
Language: English
Published by Cambridge University Press, 1993
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 209.68
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9780521420242
- Title
- Algebraic L-Theory and Topological Manifolds
- Author
- Andrew Ranicki
- Publisher
- Cambridge University Press
- Publication year
- 1993
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0521420245
- ISBN 13
- 9780521420242
- Item weight
- 754 grams
- Dimensions
- 235x157x26 mm
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