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Braid groups

Author: Christian Kassel; V G Turaev
Publisher: New York, NY : Springer, ©2008.
Series: Graduate texts in mathematics, 247.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kassel, Christian.
Braid groups.
New York, NY : Springer, c2008
(DLC) 2008922934
(OCoLC)191755563
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christian Kassel; V G Turaev
ISBN: 9780387338415 0387338411 9780387685489 0387685480
OCLC Number: 272306836
Description: 1 online resource (xi, 340 p.) : ill.
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.
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Abstract:

The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and  Read more...

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