3 papers
math-ph2026
The Classification of 3+1d Symmetry Enriched Topological Order
Thibault D. Décoppet, Matthew Yu
We use a 2-categorical version of (de-)equivariantization to classify (3+1)d topological orders with a finite -symmetry. In particular, we argue that (3+1)d fermionic topologica…
math.QA2025
Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
Diogo Andrade, Julia Bierent, Jennifer Brown +28
These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of…
math.CT2024
The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…