The Novikov Conjecture
Publication year: 2005
ISBN: 978-3-7643-7315-3
Internet Resource: Please Login to download book
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.
Subject: Mathematics and Statistics, Algebraische Topologie, Characteristic class, Differentialtopologie, Invariantentheorie, homology, manifold, vector bundle
