21 citations · 79 across the 11 of their papers we have counts for
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Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)
Thibault Didier Décoppet
We study group graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine vari…
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…
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…
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…
The Morita Theory of Fusion 2-Categories
Thibault D. Décoppet
We develop the Morita theory of fusion 2-categories. In order to do so, we begin by proving that the relative tensor product of modules over a separable algebra in a fusion 2-categ…