21 citations · 79 across the 11 of their papers we have counts for
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math.CT2023★ 3 cited
On the Dualizability of Fusion 2-Categories
Thibault D. Décoppet
Over an arbitrary field, we prove that the relative 2-Deligne tensor product of two separable module 2-categories over a compact semisimple tensor 2-category exists. This allows us…
math.CT2023★ 4 cited
Local Modules in Braided Monoidal 2-Categories
Thibault D. Décoppet, Hao Xu
Given an algebra in a monoidal 2-category, one can construct a 2-category of right modules. Given a braided algebra in a braided monoidal 2-category, it is possible to refine the n…
math.CT2023★ 9 cited
Fiber 2-Functors and Tambara-Yamagami Fusion 2-Categories
Thibault D. Décoppet, Matthew Yu
We introduce group-theoretical fusion 2-categories, a strong categorification of the notion of a group-theoretical fusion 1-category. Physically speaking, such fusion 2-categories…