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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.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…