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.DG2026
Automorphisms of Lie groupoids and symplectic reduction on orbifolds
Bohui Chen, Cheng-Yong Du, Fengyu Jiang
In this paper, the 2-group BAut(X) of automorphisms of a Lie groupoid X is constructed. Considering the 2-group G action on X, we explain the equivalence between 2-group homomorphi…
math.AT2025
On the homology description of equivariant unoriented bordism groups
Bo Chen, Zhi Lü
We construct a chain complex based on a double complex derived from the universal complex . It is shown that has a nontrivial homol…