Braid groups

By:

Kassel, Christian

Contributor(s):

Turaev, Vladimir

Series: Graduate Texts in Mathematics; Vol.247Publication details: Springer, 2008 Dordrecht: Edition: 1st edDescription: xi; 340p. pb; 24 cmISBN:

9781441922205

Subject(s):

DDC classification:

514.224 KAS

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 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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Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	514.224 KAS (Browse shelf(Opens below))	1	Available		028468

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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