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Novikov Conjecture

Name: Novikov Conjecture
Brand: Birkhauser Verlag AG
SKU: 01716712
Price: 16005 HUF
Availability: InStock
Author: M. Kreck
ISBN: 9783764371418

Geometry and Algebra

M. Kreck

W. Lück

Language

English

Book Paperback

Libristo code: 01716712

Publishers Birkhauser Verlag AG, November 2004

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to B... Full description

Libristo code: 01716712

106 b

16 005 Ft

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These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given. Finally, the most recent developments concerning these conjectures are surveyed, including a detailed status report. The prerequisites consist of a solid knowledge of the basics about manifolds, vector bundles, (co-) homology and characteristic classes.