3 papers
math.CT2026
A model structure for cartesian 2-fibrations
Cesar Bardomiano Martinez, Jana K. Nickel, Maru Sarazola +3
Cartesian 2-fibrations provide a way to understand indexed categories, but their classical ``straightening'' construction requires several layers of weak coherence data. This paper…
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-ph2025
Mutual Influence of Symmetries and Topological Field Theories
Daniel Teixeira, Matthew Yu
We study how the fusion 2-category symmetry of a fermionic (2+1)d QFT can be affected when one allows for stacking with TQFTs to be an equivalence relation for QFTs. Focusing on a…