Topology Atlas | Conferences

Knots in Washington XXII
May 5-7, 2006
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), przytyck@gwu.edu, Yongwu Rong (GWU), rong@gwu.edu, Alexander Shumakovitch (GWU), shurik@gwu.edu

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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.