Three papers on operator algebras in geometric topology
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.
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Produktdetails
- ISBN: 978-3-659-44488-3
- EAN: 9783659444883
- Produktnummer: 37445883
- Verlag: LAP Lambert Academic Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2013
- Seitenangabe: 56 S.
- Masse: H22.0 cm x B15.0 cm x D0.3 cm 102 g
- Abbildungen: Paperback
- Gewicht: 102
Über den Autor
The author is a mathematician specializing in noncommutative geometry. Graduated in Moscow, taught in Calgary, he was doingresearch in Montreal and now in Toronto. Other works include booksFoliations on Surfaces and Flows on 2-Dimensional Manifolds(joint with Evgeny Zhuzhoma) published by Springer-Verlag,Germany.
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