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The Novikov Conjecture: Geometry and Algebra
Paperback
Series: Oberwolfach Seminars, Book 33
ISBN13: 9783764371418
Publisher: Birkhauser
Published: Nov 22 2004
Pages: 266
Weight: 1.17
Height: 0.80 Width: 6.77 Depth: 9.37
Language: English
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.
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