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.QA2026
On the gauge invariance of the Kuperberg invariant of certain high genus framed 3-manifolds
Liang Chang, Yilong Wang, Saifei Zhai
We show that the Kuperberg invariant of the Weeks manifold with any framing is a gauge invariant of finite-dimensional Hopf algebras, which provides the first example of gauge inva…
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…