9 citations · 30 across the 12 of their papers we have counts for
6 papers · 1 filter
Infinitesimal deformations of Lie algebroid pairs
Dadi Ni, Zhuo Chen, Chuangqiang Hu +1
We study infinitesimal deformations of Lie algebroid pairs in the category of smooth manifolds enriched with a local Artinian algebra. Given a Lie algebroid pair , i.e. a Li…
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 …
Atiyah and Todd classes of regular Lie algebroids
Maosong Xiang
For any regular Lie algebroid , the kernel and the image of its anchor map , together with itself fit into a short exact sequence, called Atiyah sequence, of Li…
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…