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Invariants of Knots and 3-manifolds from Quantum Groupoids

Research paper by Dmitri Nikshych, Vladimir Turaev, Leonid Vainerman

Indexed on: 10 Jun '00Published on: 10 Jun '00Published in: Mathematics - Quantum Algebra



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.