The Novikov Conjecture - geometry and algebra - Matthias Kreck
Birkhäuser Verlag (2005)
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Novikov conjecture - Congresses, K-theory - Congresses, Noncommutative differential geometry - Congresses, Differential topology - Congresses

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. Finally, the most recent developments concerning these conjectures are surveyed, including a detailed status report. The prerequisites consist of a solid knowledge of the basics about manifolds, vector bundles, (co-) homology and characteristic classes.

Product Details
LoC Classification QA613 .K74 2005
Dewey 516.07
Format Paperback
Cover Price 54,95 €
No. of Pages 266
Height x Width 240 mm
Personal Details
Links Library of Congress