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Beschreibung
This short monograph offers a new vista of geometric topology from the standpoint of operator algebras. The common topic are functors from topological and geometric spaces to a category of operator algebras; such functors help to solve open problems in topology which are out of reach otherwise. Chapter 1 deals with new invariants of three-dimensional manifolds obtained from operator algebras. Chapter 2 links homology invariants of three-dimensional manifolds with the K-theory of Cuntz-Krieger algebras. Chapter 3 settles the Harvey conjecture for the mapping class group using ideas and methods of the noncommutative geometry.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 15. August 2013 |
| Maße | 22 cm x 15 cm x 0.4 cm |
| Gewicht | 102 Gramm |
| Format | Softcover |
| ISBN-13 | 9783659444883 |
| Seiten | 56 |
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