The Novikov conjecture : geometry and algebra / Matthias Kreck, Wolfgang Lück.
"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 as...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
[2005]
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| Series: | Oberwolfach seminars ;
33. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "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."--Publisher description. |
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| Physical Description: | 1 online resource (xv, 266 pages). |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1281349216 3764373156 9781281349217 9783764373153 |