9780521055215 - Algebraic L Theory, Toplocl Manifld (Cambridge Tracts in Mathematics, 102, Band 102) von Ranicki, A. A. (4 Ergebnisse)

Zustand: New. In.

Zustand: New. This book explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework. Series: Cambridge Tracts in Mathematics. Num Pages: 372 pages, black & white illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 21. Weight in Grams: 550. . 2008. 1st Edition. paperback. . . . . Books ship from the US and Ireland.

Zustand: New.

Taschenbuch. Zustand: Neu. 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.