9 citations · 18 across the 10 of their papers we have counts for
10 papers
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…
Orbifold Gromov--Witten theory of weighted blowups
Bohui Chen, Cheng-Yong Du, Rui Wang
Consider a compact symplectic sub-orbifold groupoid of a compact symplectic orbifold groupoid . Let be the weight- blo…
Double ramification cycles with orbifold targets
Bohui Chen, Cheng-Yong Du, Rui Wang
In this paper, we consider double ramification cycles with orbifold targets. An explicit formula for double ramification cycles with orbifold targets, which is parallel to and gene…
Fuzzy vectors via convex bodies
Cheng-Yong Du, Lili Shen
In the most accessible terms this paper presents a convex-geometric approach to the study of fuzzy vectors. Motivated by several key results from the theory of convex bodies, we es…
Equivariant commutative stringy cohomology rings on almost complex manifolds
Bohui Chen, Cheng-Yong Du, Tiyao Li
In this paper, motivated by Chen--Ruan's stringy orbifold theory on almost complex orbifolds, we construct a new cohomology ring for an equivariant almo…
On fibrations of Lie groupoids
Bohui Chen, Cheng-Yong Du, Yu Wang
As groupoids generalize groups, motivated by group extensions we consider a kind of fibrations of Lie groupoids, called locally topological product Lie groupoid fibrations with fib…
On relative Gromov--Witten invariants of projective completions of vector bundles
Cheng-Yong Du
It was proved by Fan--Lee and Fan that the absolute Gromov--Witten invariants of two projective bundles are identified canonically when the total Cher…
The groupoid structure of groupoid morphisms
Bohui Chen, Cheng-Yong Du, Rui Wang
In this paper we construct two groupoids from morphisms of groupoids, with one from a categorical viewpoint and the other from a geometric viewpoint. We show that for each pair of…
Weighted blowup correspondence of orbifold Gromov--Witten invariants and applications
Bohui Chen, Cheng-Yong Du, Jianxun Hu
Let be a symplectic orbifold groupoid with being a symplectic sub-orbifold groupoid, and be the weight- blowup of along $…
Spark complexes on good effective orbifold atlases categorically
Cheng-Yong Du, Lili Shen, Xiaojuan Zhao
Good atlases are defined for effective orbifolds, and a spark complex is constructed on each good atlas. It is proved that this process is 2-functorial with compatible systems play…