Turaev-Viro invariants as an extended TQFT

Details Turaev-Viro invariants as an extended TQFT Turaev-Viro invariants as an extended TQFT

2010-04-09

arxiv.org/abs/1004.1533v3

Mathematics

Geometric Topology

38 pages, many figures. New in v.3: significantly rewritten exposition, providing details of some proofs which were only outli

Scientific paper

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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