Turaev-Viro invariants as an extended TQFT

Alexander Kirillov Jr.; Benjamin Balsam

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arXiv · 1004.1533

Turaev-Viro invariants as an extended TQFT

Alexander Kirillov Jr.·Benjamin Balsam

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Abstract

In this paper we show how one can extend Turaev-Viro invariants, defined for an arbitrary spherical fusion category $C$, to 3-manifolds with corners. We demonstrate that this gives an extended TQFT which conjecturally coincides with the Reshetikhin-Turaev TQFT corresponding to the Drinfeld center $Z(C)$. In the present paper we give a partial proof of this statement.

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BibTeX RIS

Alexander Kirillov Jr., Benjamin Balsam. 2010-06-14. Turaev-Viro invariants as an extended TQFT. https://arxiv.org/abs/1004.1533

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