3 papers
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.CT2025
Invertible projective 2-representations from invertible 2d TQFTs with defects
Domenico Fiorenza, Chetan Vuppulury
We investigate invertible projective representations and their 2-categorical analogues using the language of TQFTs with defects. The main result is a freeness property for invertib…
math.CT2025
Projective and anomalous representations of categories and their linearizations
Domenico Fiorenza, Chetan Vuppulury
We invesigate the relation between projective and anomalous representations of categories, and show how to any anomaly one can associate an…