On spherical fusion categories and the Turaev-Viro model:
John Barrett, Bruce Westbury, Invariants of piecewise-linear 3-manifolds, Trans. Amer. Math. Soc. 348 (1996), no. 10, 3997–4022, (doi:10.1090/S0002-9947-96-01660-1, MR1357878)
John Barrett, Bruce Westbury, Spherical Categories, Adv. Math. 143:357-375, 1999 (arXiv:hep-th/9310164, doi:10.1006/aima.1998.1800)
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