2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2003★ 1 cited
Kirby elements and quantum invariants
Alexis Virelizier
We define the notion of a Kirby element of a ribbon category C (not necessarily semisimple). Kirby elements lead to 3-manifolds invariants. We characterize (in terms of the structu…
math.QA2003★ 2 cited
Graded quantum groups
Alexis Virelizier
Starting from a Hopf algebra endowed with an action of a group G by Hopf automorphisms, we construct (by a twisted double method) a quasitriangular Hopf G-coalgebra. This method al…
math.GT2002
Involutory Hopf group-coalgebras and flat bundles over 3-manifolds
Alexis Virelizier
Given a group G, we use involutary Hopf G-coalgebras to define a scalar invariant of flat G-bundles over 3-manifolds. When G=1, this invariant equals to the one of 3-manifolds cons…