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…
math.QA2025
String-net models for pivotal bicategories
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We develop a string-net construction of a modular functor whose algebraic input is a pivotal bicategory; this extends the standard construction based on a spherical fusion category…