The Novikov Conjecture: Geometry and Algebra

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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.

The Novikov Conjecture: Geometry and Algebra 2004, Springer, Basel, Switzerland

ISBN-13: 9783764371418

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