The Novikov Conjecture Geometry and Algebra

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The Novikov Conjecture: Geometry and Algebra by Matthias Kreck , Wolfgang Lück
English | PDF (True) | 2005 | 268 Pages | ISBN : 3764371412 | 2 MB
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.

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