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The invariant of Turaev-Viro from Group category

Jerome Petit
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Abstract

A Group category is a spherical category whose simple objects are invertible. The invariant of Turaev-Viro with this particular category is in fact the invariant of Dijkgraaf-Witten whose the group and the 3-cocycle is given by the simple objects and the associativity constraint of the category.

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Jerome Petit. 2006-08-29. The invariant of Turaev-Viro from Group category. https://arxiv.org/abs/math/0608614

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