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The Novikov Conjecture Geometry And Algebra 1st Edition Matthias Kreck

SKU: BELL-925122

$ 31.00 ~~$ 45.00~~ (-31%)

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The Novikov Conjecture Geometry And Algebra 1st Edition Matthias Kreck instant download after payment.

Publisher: Birkhäuser Basel

File Extension: PDF

File size: 1.64 MB

Pages: 267

Author: Matthias Kreck, Wolfgang Lück

ISBN: 9783764371418, 3764371412

Language: English

Year: 2005

Edition: 1

Product desciption

The Novikov Conjecture Geometry And Algebra 1st Edition Matthias Kreck by Matthias Kreck, Wolfgang Lück 9783764371418, 3764371412 instant download after payment.

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.