21 citations · 126 across the 27 of their papers we have counts for
28 papers
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…
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…
Homological Description of Equivariant Geometric Bordism
Bo Chen, Hao Li, Zhi Lü
Using the evenness criterion in \cite{LCLS} and duality principle in \cite{CLT}, we construct a finite chain complex built from the unive…
Isolated singularities of 3-dimensional Yang-Mills-Higgs fields
Bo Chen, Chong Song
In this paper, we derive decay estimates near isolated singularities of 3-dimensional (3d) Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Rie…
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Bohui Chen, Kaoru Ono, Bai-Ling Wang
The notion of twisted sectors play a crucial role in orbifold Gromov-Witten theory. We introduce the notion of dihedral twisted sectors in order to construct Lagrangian Floer theor…
Sum of Hamiltonian manifolds
Bohui Chen, Hai-Long Her, Bai-Ling Wang
For any compact connected Lie group , we study the Hamiltonian sum of two compact Hamiltonian group -manifolds and with a common codimension 2…