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Braid Groups
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Braid Groups Hardcover - 2008 - 2008th Edition

by Christian Kassel; Designed by O. Dodane; Vladimir Turaev


From the rear cover

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.

Details

  • Title Braid Groups
  • Author Christian Kassel; Designed by O. Dodane; Vladimir Turaev
  • Binding Hardcover
  • Edition number 2008th
  • Edition 2008
  • Pages 338
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2008-08-05
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9780387338415 / 0387338411
  • Weight 1.35 lbs (0.61 kg)
  • Dimensions 9.2 x 6.3 x 0.9 in (23.37 x 16.00 x 2.29 cm)
  • Library of Congress subjects Braid theory
  • Dewey Decimal Code 514.224

About the author

Dr. Christian Kassel is the director of CNRS (Centre National de la Recherche Scientifique in France), was the director of l'Institut de Recherche Mathematique Avancee from 2000 to 2004, and is an editor for the Journal of Pure and Applied Algebra. Kassel has numerous publications, including the book Quantum Groups in the Springer Gradate Texts in Mathematics series.

Dr. Vladimir Turaev was also a professor at the CNRS and is currently at Indiana University in the Department of Mathematics.

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Braid Groups
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Braid Groups (Graduate Texts in Mathematics, 247)
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by Kassel, Christian; Turaev, Vladimir; Dodane, O. [Designer]

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Braid Groups (Graduate Texts in Mathematics, 247)
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Braid Groups (Graduate Texts in Mathematics, 247)

by Kassel, Christian; Turaev, Vladimir; Dodane, O. [Designer]

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