Turaev-Viro invariants as an extended TQFT

2010/04/09 by Kirillov, Alexander, Balsam, Benjamin · 4 citations
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1004.1533

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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