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.
Autorius: | Igor Nikolaev |
Leidėjas: | LAP LAMBERT Academic Publishing |
Išleidimo metai: | 2013 |
Knygos puslapių skaičius: | 56 |
ISBN-10: | 365944488X |
ISBN-13: | 9783659444883 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Mathematics |
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