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| Material Type: | Internet resource |
|---|---|
| Document Type: | Book, Internet Resource |
| All Authors / Contributors: |
Christian Kassel; V G Turaev |
| ISBN: | 9780387338415 0387338411 9780387685489 0387685480 |
| OCLC Number: | 191755563 |
| Description: | xi, 340 p. : ill. ; 25 cm. |
| Contents: | Braids and Braid Groups -- Braids, Knots, and Links -- Homological Representations of the Braid Groups -- Symmetric Groups and Iwahori-Hecke Algebras -- Representations of the Iwahori-Hecke Algebras -- Garside Monoids and Braid Monoids -- Order on the Braid Groups -- Presentations of SL[subscript 2](Z) and PSL[subscript 2](Z) -- Fibrations and Homotopy Sequences -- Birman-Murakami-Wenzl Algebras -- Left Self-Distributive Sets. |
| Series Title: | Graduate texts in mathematics, 247. |
| Responsibility: | Christian Kassel, Vladimir Turaev ; with the graphical assistance of Olivier Dodane. |
Abstract:
"Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces." "In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence-Krammer-Bigelow representations of the braid groups, the Alexander-Conway and Jones link polynomials, connections with the representation theory of the Iwahori-Hecke algebras, and the Garside structure and order abllity of the braid groups." "This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory."--BOOK JACKET.
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