3 papers
math.CT2025
Zigzags and free adjunctions
Lorenzo Riva, Martina Rovelli
We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an -category, and we speculate on possible extensions to higher di…
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
Higher categories of push-pull spans, II: Matrix factorizations
Lorenzo Riva
This is the second part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. In the first part we constructed a symmetric monoidal $(\…