9 citations · 30 across the 12 of their papers we have counts for
14 papers
Holomorphic polyvector fields on toric varieties via Klyachko filtrations
Wei Hong, Maosong Xiang
Motivated by the extended deformation theory of complex manifolds, we give a combinatorial description of holomorphic polyvector fields on a smooth compact toric variety via Klyach…
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…
From smooth dynamical twists to twistors of quantum groupoids
Jiahao Cheng, Zhuo Chen, Yu Qiao +1
Consider a Lie subalgebra and an -invariant open submanifold . We demonstrate that any smooth dynam…
The geometric constraints on Filippov algebroids
Yanhui Bi, Zhixiong Chen, Zhuo Chen +1
Filippov n-algebroids are introduced by Grabowski and Marmo as a natural generalization of Lie algebroids. On this note, we characterized Filippov n-algebroid structures by conside…
Locally finite infinity-modules and weak Loday-Pirashvili modules over differential graded Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
Motivated by recent developments of -categorical theories related to differential graded (dg for short) Lie algebras, we develop a general framework for locally finite $\in…
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 …
Dg Loday-Pirashvili modules over Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
A Loday-Pirashvili module over a Lie algebra is a Lie algebra object in the category of linear maps, or equivalently, a…
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…
Cohomology of hemistrict Lie 2-algebras
Xiongwei Cai, Zhangju Liu, Maosong Xiang
We study representations of hemistrict Lie 2-algebras and give a functorial construction of their cohomology. We prove that both the cohomology of an injective hemistrict Lie 2-alg…
Kapranov's construction of sh Leibniz algebras
Zhuo Chen, Zhangju Liu, Maosong Xiang
Motivated by Kapranov's discovery of an sh Lie algebra structure on the tangent complex of a Kähler manifold and Chen-Stiénon-Xu's construction of sh Leibniz algebras associated wi…
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…
Atiyah classes of strongly homotopy Lie pairs
Zhuo Chen, Honglei Lang, Maosong Xiang
The subject of this paper is strongly homotopy (SH) Lie algebras, also known as -algebras. We extract an intrinsic character, the Atiyah class, which measures the nontriv…