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.
- ISBN10 3764373156
- ISBN13 9783764373153
- Publish Date 1 January 2005 (first published 22 November 2004)
- Publish Status Active
- Publish Country US
- Imprint Birkhauser
- Format eBook
- Pages 267
- Language English