2 papers
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…