Invariants of knots and 3-manifolds from quantum groupoids

Academic Article

Abstract

  • We use categories of representations of finite dimensional quantum groupoids (weak Hopf algebras) to construct ribbon and modular categories that give rise to invariants of knots and 3-manifolds.

    • Authors

  • Nikshych, Dmitri
  • Turaev, V
  • Vainerman, L

    • Status

    Publication Date

  • January 1, 2003

    • Has Subject Area

    Published In

    Keywords

  • invariants of knots and 3-manifolds
  • monoidal categories
  • quantum groupoids
  • subfactors
  • weak Hopf algebras

    • Digital Object Identifier (doi)

    Start Page

  • 91

    • End Page

  • 123

    • Volume

  • 127

    • Issue

  • 1-2