000 02329nam a22002897a 4500
005 20220411113823.0
008 220411b |||||||| |||| 00| 0 eng d
020 _a9781441922205
028 _a:Zafaa Books & Distributors
_b;313/56F 49A, Anand Nagar Inderlok Delhi 110035
_c:ZBD0020:
_d:04/04/2022
082 _a514.224 KAS
100 _aKassel, Christian
245 _aBraid Groups
_c/ Christian Kassel
260 _aNew York
_b : Springer
_c©2008.
300 _axi, 340p.
_c24cm.
365 _b5784
490 _aGraduate texts in mathematics, 247.
505 _aBraids 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.
520 _aBraids 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."
650 _aMathematics
650 _aTopology
650 _aBraid theory.
650 _aMathematics -- Topology.
700 _aKassel, Christian
700 _aTuraev, Vladimir
700 _aOlivier, Dodane,
942 _cBOOK
999 _c59103
_d59103