Turaev-Viro invariants as an extended TQFT

Kirillov, Alexander, Jr.; Balsam, Benjamin

Turaev-Viro invariants as an extended TQFT

Apr, 2010

33 pages

e-Print:

1004.1533 [math.GT]

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Abstract: (arXiv)

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.

field theory: topological
category
fusion
partition function
surface
duality
any-dimensional

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