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Catalogue Information
Field name	Details
Dewey Class	514.224 (DDC 23)
Title	Braid Groups ([Ebook]) / by Christian Kassel, Vladimir Turaev.
Author	Kassel, Christian
Added Personal Name	Turaev, Vladimir
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2008.
Physical Details	X, 338 p. 60 illus. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 247
ISBN	9780387685489
Summary Note	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. This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory.:
Contents note	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 -- An Order on the Braid Groups -- Appendix A. Presentations of SL2(Z) and PSL2(Z) -- Appendix B. Fibrations and Homotopy Sequences -- Appendix C. The Birman-Murakami-Wenzl Algebras -- Appendix D. Left Self-Distributive Sets -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-68548-9
Links to Related Works	Subject References: Algebra . Algebraic Topology . Group theory . Group Theory and Generalizations . Knot theory . Link theory . Manifolds and Cell Complexes (incl. Diff.Topology) . Order, Lattices, Ordered Algebraic Structures . Authors: author . Kassel, Christian . Turaev, Vladimir . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 514.224 (DDC 23) .

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Braid Groups

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