26 citations · 99 across the 10 of their papers we have counts for
6 papers · 1 filter
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…
Representations of the loop braid groups from braided tensor categories
Liang Chang
The loop braid group is the motion group of unknotted oriented circles in . In this paper, we study their representations through the approach inspired by two dimensi…
On Two Invariants of Three Manifolds from Hopf Algebras
Liang Chang, Shawn X. Cui
We prove a 20-year-old conjecture concerning two quantum invariants of three manifolds that are constructed from finite dimensional Hopf algebras, namely, the Kuperberg invariant a…
A New Proof of for Semisimple Hopf Algebras
Liang Chang
Hennings and Kuperberg defined quantum invariants and for closed oriented -manifolds based on certain Hopf algebras, respectively. When the Hopf algebras ar…
Kitaev models based on unitary quantum groupoids
Liang Chang
We establish a generalization of Kitaev models based on unitary quantum groupoids. In particular, when inputting a Kitaev-Kong quantum groupoid , we show that the gr…
|Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
Liang Chang, Zhenghan Wang
M. Hennings and G. Kuperberg defined quantum invariants Z_{Henn} and Z_{Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |Z_{Kup}|=|Z…