Corpus ID: 115175110

Turaev-Viro invariants as an extended TQFT

@article{Kirillov2010TuraevViroIA,
  title={Turaev-Viro invariants as an extended TQFT},
  author={Alexander A. Kirillov and Benjamin Balsam},
  journal={arXiv: Quantum Algebra},
  year={2010}
}
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 that this equality extends to an equivalence of TQFTs. 
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  • Michael Mueger
  • Mathematics, Computer Science
  • Quantum Physics and Linguistics
  • 2013
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ON TWO APPROACHES TO 3-DIMENSIONAL TQFTS
We prove that |M|C = �Z(C)(M) for any closed oriented 3-manifold M and for any spherical fusion category C of non-zero dimension. Here |M|C is the Turaev-Viro-Barrett-Westbury state sum invariant ofExpand
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