23 citations · 33 across the 9 of their papers we have counts for
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math.GT2000
Faithful Linear Representations of the Braid Groups
Vladimir Turaev
We give an exposition of the work of Bigelow and Krammer who proved that the Artin braid groups are linear.
math.QA2000
Invariants of Knots and 3-manifolds from Quantum Groupoids
Dmitri Nikshych, Vladimir Turaev, Leonid Vainerman
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 a…
math.GT2000
Homotopy field theory in dimension 3 and crossed group-categories
Vladimir Turaev
A 3-dimensional homotopy quantum field theory (HQFT) can be described as a TQFT for surfaces and 3-cobordisms endowed with homotopy classes of maps into a given space. For a group…