4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.QA2009
The maximal decomposition of the Turaev-Viro TQFT
Jerome Petit
In a previous work arXiv:0903.4512, we have built an homotopical Turaev-Viro invariant and an HQFT from the universal graduation of a spherical category. In the present paper, we s…
math.QA2009★ 4 cited
Decomposition of the Turaev-Viro TQFT
Jerome Petit
We show that for every spherical category $\C$ with invertible dimension, the Turaev-Viro TQFT admits a splitting into blocks which come from an HQFT, called the Turaev-Viro HQFT.…
math.QA2006★ 2 cited
The invariant of Turaev-Viro from Group category
Jerome Petit
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-Witte…