On three-dimensional topological field theories constructed from Dω(G) for finite group
Abstract
We investigate the 3d lattice topological field theories defined by Chung, Fukuma and Shapere. We concentrate on the model defined by taking a deformation G of the quantum double of a finite commutative group G as the underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition function is related to that of Dijkgraaf-Witten by = ||2 when G=2N+1. For G=2N, such a relation does not hold.
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