The Novikov Conjecture Geometry and Algebra | EKB DL

Home BookThe Novikov Conjecture Geometry and Algebra

The Novikov Conjecture Geometry and Algebra

The Novikov Conjecture Geometry and Algebra

Description

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.

Keywords

MathematicsTopologyGeometryAnalytic

2004Book

Author(s)Matthias Kreck, Wolfgang Lück

PublisherSpringer Science & Business Media

ISBN9783764371418

LanguageEnglish

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