International Journal of Mathematics Trends and Technology
Volume 54 | Number 7 | Year 2018 | Article Id. IJMTT-V54P563 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P563
Jerome Petit, "Maximal Decomposition of the Turaev-Viro TQFT," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 7, pp. 523-536, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P563
In[1]we have built aHQFT from the universal graduation of a spherical category. In the present paper, we show that every graduation (G, p) of a spherical category C defines a Turaev-Viro HQFT. Furthermore we show that the Turaev-Viro TQFT will be split into blocks coming from this HQFT. We show that this decomposition is maximal for the universal graduation of the category, which means that for every graduation (G, p) we define a HQFT which will be split into blocks coming from the HQFT obtained from the universal graduation.
[1] J. Petit, "Decomposition of the Tuarev-Viro TQFT," arxiv math/0903.4512v1, 2009.
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[5] V. Turaev, Quantum invariants of knots and 3-manifolds, Walter de Gruyter, 1994.
[6] V. Turaev, "Homotopy field theory in dimension 3 and crossed group-categories," arxiv math/0005291, 2000.
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