The Novikov Conjecture
Author | : Matthias Kreck |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2005-12-05 |
Genre | : Mathematics |
ISBN | : 3764373156 |
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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.