23 citations · 33 across the 9 of their papers we have counts for
4 papers · 1 filter
Coalgebras of words and phrases
Vladimir Turaev
We introduce two constructions of a coassociative comultiplication in the algebra of phrases in a given alphabet. As a preliminary step we give two constructions of a pre-Lie comul…
Quantum groups and ribbon G-categories
Thang Le, Vladimir Turaev
For a group G, the notion of a ribbon G-category was introduced by the second author in a previous work with a view towards constructing 3-dimensional homotopy quantum field theori…
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…
Homotopy field theory in dimension 2 and group-algebras
Vladimir Turaev
We apply the idea of a topological quantum field theory (TQFT) to maps from manifolds into topological spaces. This leads to a notion of a (d+1)-dimensional homotopy quantum field…