78 citations · 111 across the 4 of their papers we have counts for
4 papers
Kitaev's Lattice Model and Turaev-Viro TQFTs
Benjamin Balsam, Alexander Kirillov
In this paper, we examine Kitaev's lattice model for an arbitrary complex, semisimple Hopf algebra. We prove that this model gives the same topological invariants as Turaev-Viro th…
Turaev-Viro invariants as an extended TQFT III
Benjamin Balsam
In the third paper in this series, we examine the Reshetikhin-Turaev and Turaev-Viro TQFTs at the level of surfaces. In particular, we show that for a closed surface , $Z_{TV, \…
Turaev-Viro invariants as an extended TQFT II
Benjamin Balsam
In this paper, we present the next step in the proof that $Z_{TV,\C} = Z_{RT, Z(\C)}$, namely that the theories give the same 3-manifold invariants. In future papers we will show t…
Turaev-Viro invariants as an extended TQFT
Alexander Kirillov, Benjamin Balsam
In this paper we show how one can extend Turaev-Viro invariants, defined for an arbitrary spherical fusion category , to 3-manifolds with corners. We demonstrate that this gives…