Braid Groups

• Main Authors: Kassel, Christian (Author), Turaev, Vladimir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: Graduate Texts in Mathematics, 247
• Subjects: Mathematics.; Group theory.; Algebra.; Ordered algebraic structures.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Group Theory and Generalizations.; Manifolds and Cell Complexes (incl. Diff.Topology).; Order, Lattices, Ordered Algebraic Structures.; Algebraic Topology.

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 relatio...

Table of Contents:

• Braids and Braid Groups
• Braids, Knots, and Links
• Homological Representations of the Braid Groups
• Symmetric Groups and Iwahori#x2013;Hecke Algebras
• Representations of the Iwahori#x2013;Hecke Algebras
• Garside Monoids and Braid Monoids
• An Order on the Braid Groups
• Presentations of SL(Z) and PSL(Z)
• Fibrations and Homotopy Sequences
• The Birman#x2013;Murakami#x2013;Wenzl Algebras
• Left Self-Distributive Sets.