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

Ranicki, A. A.

Softcover

ISBN 10: 0521055210 ISBN 13: 9780521055215

Publisher: Cambridge University Press, 2008

Synopsis

This book explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework.

About this title

Review

"...develops lower K- and L-theory with a view to applications in topology....Apart from the obvious interest of this text both to topologists and to K-theorists, it also serves as an introduction to the field, since there is a comprehensive survey of previous results and applications." M.E. Keating, Bulletin of the London Mathematical Society

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 0521055210
• ISBN 13: 9780521055215
• Binding: Paperback
• Edition number: 1
• Number of pages: 372