78 citations · 111 across the 4 of their papers we have counts for
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math.QA2012★ 25 cited
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…
math.QA2010★ 4 cited
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, \…
math.QA2010★ 4 cited
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…