49 citations · 49 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Classification of super-modular categories by rank
Paul Bruillard, César Galindo, Siu-Hung Ng +3
We pursue a classification of low-rank super-modular categories parallel to that of modular categories. We classify all super-modular categories up to rank=, and spin modular ca…