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An Entity of Type : rdac:C10001, within Data Space : data.idref.fr associated with source document(s)

AttributesValues
type
Author
dc:subject
  • Théorie des noeuds
  • Théorie des tresses
  • Mathematics
  • Algebra
  • Manifolds (Mathematics)
  • Cell aggregation -- Mathematics
  • Complex manifolds
  • Manifolds and Cell Complexes (incl DiffTopology)
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Group theory
  • Order, Lattices, Ordered Algebraic Structures
  • Ordered algebraic structures
  • Algebraic Topology
  • Algebraic topology
  • Group Theory and Generalizations
  • Topologie de basse dimension
  • Braid theory
  • Lien, Théorie du
preferred label
  • Braid groups
Language
Subject
dc:title
  • Braid groups
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
dc:type
  • Text
http://iflastandar...bd/elements/P1001
rdaw:P10219
  • 2008
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