3 papers
math.QA2026
Modular fusion categories with trivial Torelli group actions
Liang Chang, Siu-Hung Ng, Yilong Wang
In this paper, we study modular fusion categories whose mapping class group representations are trivial on the Torelli groups, with particular emphasis on the congruence properties…
math.QA2025
Generalizations of Frobenius-Schur indicators from Kuperberg invariants
Liang Chang, Siu-Hung Ng, Yilong Wang
We introduce an approach to produce gauge invariants of any finite-dimensional Hopf algebras from the Kuperberg invariants of framed 3-manifolds. These invariants are generalizatio…
math.QA2024
Recovering R-symbols from modular data
Siu-Hung Ng, Eric C Rowell, Xiao-Gang Wen
Given a premodular category , we show that its -symbol can be recovered from its -matrice, fusion coefficients and some 2nd generalized Frobenius-Schur indicator…