44 citations · 44 across the 1 of their papers we have counts for
3 papers
math.CT2022★ 44 cited
Gauging Noninvertible Defects: A 2-Categorical Perspective
Thibault D. Décoppet, Matthew Yu
We generalize the notion of an anomaly for a symmetry to a noninvertible symmetry enacted by surface operators using the framework of condensation in 2-categories. Given a multifus…
math.QA2021
The 2-Deligne Tensor Product
Thibault D. Décoppet
We prove that the 2-Deligne tensor product of two compact semisimple 2-categories exists. Further, under suitable hypotheses, we explain how to describe the -categories, conne…
math.QA2020
Multifusion Categories and Finite Semisimple 2-Categories
Thibault D. Décoppet
We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in arXiv:1812.11…