Invariants of Knots and 3-manifolds from Quantum Groupoids

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.

arXiv comment30 pages, amslatex

References in corpus (3)

• Weak Hopf Algebras and Reducible Jones Inclusions of Depth 2. I: From Crossed products to Jones towers
• Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors
• Weak Hopf Algebras II: Representation theory, dimensions and the Markov trace

Cited by in corpus (2)

• Congruence Subgroups and Generalized Frobenius-Schur Indicators
• Tannaka-Krein reconstruction for coactions of finite quantum groupoids