3 papers
math.QA2025
A new criterion for integral modular categorification
Jingcheng Dong, Sebastien Palcoux
A generalization of an argument due to Etingof-Nikshych-Ostrik yields a highly efficient necessary criterion for integral modular categorification. This criterion allows us to comp…
math.QA2025
Classifying integral Grothendieck rings up to rank 5 and beyond
Max A. Alekseyev, Winfried Bruns, Jingcheng Dong +1
In this paper, we define a Grothendieck ring as a fusion ring categorifiable into a fusion category over the complex field. An integral fusion ring is called Drinfeld if all its fo…
math.QA2025
On Grothedieck rings of rank self-dual fusion categories
Jingcheng Dong
Let $\C$ be a self-dual fusion category of rank which has a nontrivial proper fusion subcategory. We identify three new families of Grothendieck rings for $\C$: one of them is…