56 citations · 220 across the 29 of their papers we have counts for
17 papers · 1 filter
The weak Lie 2-algebra of multiplicative forms on a quasi-Poisson groupoid
Zhuo Chen, Honglei Lang, Zhangju Liu
Berwick-Evens and Lerman recently showed that the category of vector fields on a geometric stack has the structure of a Lie -algebra. Motivated by this work, we present a constr…
Dirac generating operators of split Courant algebroids
Liqiang Cai, Zhuo Chen, Honglei Lang +1
Given a vector bundle over a smooth manifold such that the square root of the line bundle …
The standard cohomology of regular Courant algebroids
Xiongwei Cai, Zhuo Chen, Maosong Xiang
For any regular Courant algebroid over a smooth manifold with characteristic distribution and ample Lie algebroid , we prove that there exists a canonical homologi…
Hochschild cohomology of dg manifolds associated to integrable distributions
Zhuo Chen, Maosong Xiang, Ping Xu
For the field or , and an integrable distribution on a smooth manifold , we study the Hoc…
Atiyah and Todd classes arising from integrable distributions
Zhuo Chen, Maosong Xiang, Ping Xu
In this paper, we study the Atiyah class and Todd class of the DG manifold corresponding to an integrable distribution $F \subset T_{\mathbb{K}} M = TM \otimes_{\mathb…
Holomorphic Poisson Structures and its Cohomology on Nilmanifolds
Zhuo Chen, Anna Fino, Yat-Sun Poon
The subject for investigation in this note is concerned with holomorphic Poisson structures on nilmanifolds with abelian complex structures. As a basic fact, we establish that on s…