4 papers
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…
Higher condensation theory
Liang Kong, Zhi-Hao Zhang, Jiaheng Zhao +1
We develop a unified mathematical theory of defect condensations for topological orders in all dimensions based on higher categories, higher algebras and higher representations. A…
Categories of quantum liquids II
Liang Kong, Hao Zheng
We continue to develop the theory of separable higher categories, including center functors, higher centralizers, modular extensions and group theoretical higher fusion categories.…
Enriched monoidal categories I: centers
Liang Kong, Wei Yuan, Zhi-Hao Zhang +1
This work is the first one in a series, in which we develop a mathematical theory of enriched (braided) monoidal categories and their representations. In this work, we introduce th…