The Novikov Conjecture : Geometry and Algebra.
Language: English
Published by Birkhauser, Basel, 2005
- Hardcover
- Used
Seller: Lost and Found Books, Healesville, VIC, AustraliaLost and Found Books
AbeBooks seller since June 20, 2000
Condition: Used
US$ 38.40
Quantity: 1 available
Add to basketItem description from seller
26.5 cm. XV, 266 pages.
Seller Inventory # 32341
- Title
- The Novikov Conjecture : Geometry and Algebra.
- Author
- Kreck, Matthias; Luck, Wolfgang
- Publisher
- Birkhauser, Basel
- Publication year
- 2005
- Condition
- New book.
- Dust jacket
- No Jacket
- Binding
- pictorial hard cover
- Language
- English
- ISBN 10
- 3764371412
- ISBN 13
- 9783764371418
- Seller catalogs
- science and mathematics
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.
"Synopsis" may belong to another edition of this title.
Review
From the reviews:
This very readable book provides an excellent introduction to the circle of ideas related to the Novikov conjecture.
Monatshefte für Mathematik
“Overall, the book is very suitable both as an introduction and as a reference, and finds exactly the right balance between detail, comprehensiveness and length of the presentation. It is recommended to everyone with a background in algebraic topology who wants to learn about one or some of the aspects covered.”(MATHEMATICAL REVIEWS)
"About the title" may belong to another edition of this title.
Lost and Found Books
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