English

The invariant of Turaev-Viro from Group category

Quantum Algebra 2007-05-23 v2 Category Theory

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.

Keywords

Cite

@article{arxiv.math/0608614,
  title  = {The invariant of Turaev-Viro from Group category},
  author = {Jerome Petit},
  journal= {arXiv preprint arXiv:math/0608614},
  year   = {2007}
}

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