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math.QA2018★ 3 cited
A Topological Invariant for Modular Fusion Categories
Ajinkya Kulkarni, Michaël Mignard, Peter Schauenburg
The modular data of a modular category , consisting of the -matrix and the -matrix, is known to be an incomplete invariant of . More generally, the…
math.QA2017★ 5 cited
Morita equivalence of pointed fusion categories of small rank
Michaël Mignard, Peter Schauenburg
We classify pointed fusion categories C(G, ) up to Morita equivalence for 1 < |G| < 32. Among them, the cases |G| = 2 3 , 2 4 and 3 3 are emphasized. Although the equivalence cl…
math.QA2017
Modular categories are not determined by their modular data
Michaël Mignard, Peter Schauenburg
Arbitrarily many pairwise inequivalent modular categories can share the same modular data. We exhibit a family of examples that are module categories over twisted Drinfeld doubles…