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Technical Braid Groups, Christian Kassel, Vladimir Turaev

Posted on 2010-04-14




Name:Technical Braid Groups, Christian Kassel, Vladimir Turaev
ASIN/ISBN:0387338411
Publish Date:2008
Language:English
Pages:348 pages
File size:6.01 Mb
Language: English
ISBN: 0387338411
Pages: 348 pages
File Type: PDF
File Size: 6.01 MB
Publish Date: 2008
Other Info: Springer
   Technical Braid Groups, Christian Kassel, Vladimir Turaev

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Braid Groups, Christian Kassel, Vladimir Turaev

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 orderability of the braid groups.

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