3 papers
math.DG2026
Equivariant basic cohomology of Lie groupoids
Fengyu Jiang, Yang Yang, Bohui Chen
This paper develops equivariant basic cohomology for Lie groupoids equipped with weak actions of Lie groups. The weak action is encoded by a Kan fibration over the classifying grou…
math.QA2026
Modular functors and CFT correlators via double categories
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We point out that double categories provide a natural setting for modular functors obtained by a (bicategorical) string-net construction: The source of the modular functor -- which…
hep-th2019
CFT Correlators for Cardy Bulk Fields via String-Net Models
Christoph Schweigert, Yang Yang
We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tens…