442 citations · 2.3k across the 48 of their papers we have counts for
17 papers · 1 filter
Generalized Witt and Morita equivalences
Liang Kong, Yilong Wang, Hao Zheng
In this work, we introduce a family of new equivalence relations among fusion categories that are less refined than the usual Morita equivalence. We obtain abelian groups by quotie…
Pointed Drinfeld center functor
Liang Kong, Wei Yuan, Hao Zheng
In this work, using the functoriality of Drinfeld center of fusion categories, we generalize an earlier result on the functoriality of full center of simple separable algebras in a…
The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten Theory
Liang Kong, Yin Tian, Shan Zhou
In this work, for a finite group and a 4-cocycle , we compute explicitly the center of the monoidal 2-category of -…
Semisimple and separable algebras in multi-fusion categories
Liang Kong, Hao Zheng
We give a classification of semisimple and separable algebras in a multi-fusion category over an arbitrary field in analogy to Wedderben-Artin theorem in classical algebras. It tur…
Topological orders and factorization homology
Yinghua Ai, Liang Kong, Hao Zheng
In the study of 2d (the space dimension) topological orders, it is well-known that bulk excitations are classified by unitary modular tensor categories. But these categories only d…
Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries
Tian Lan, Liang Kong, Xiao-Gang Wen
A finite bosonic or fermionic symmetry can be described uniquely by a symmetric fusion category . In this work, we propose that 2+1D topological/SPT orders with a fixe…