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The Turaev-Viro and the related TQFT in the case of Group Category
by
Petit Jerome
UM2, CC 051, Place Eugène Bataillon, 34095 Montpellier cedex 5
We study the invariant of Turaev-Viro constructed by Gelfand and Kazhdan (this is nearly the same approach of Barrett-Westburry) with a special spherical category : Group category. In fact it is a spherical category whose all simple objects are inversible. Under other asumptions on this category we recover the invariant of Dijkgraaf-Witten. Moreover in this case the TQFT is more explicit.
Date received: April 11, 2006
Copyright © 2006 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # casv-03.