Dadi Ni

activity

20192025

collaborators

4 papers

math.DG2025

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 $(L, A)$ , i.e. a Li…

math.DG2025

Atiyah constructions for Lie algebroid connections on fiber bundles

Chen He, Dadi Ni, Zhuo Chen

To address the need for a unified framework that incorporates Lie algebroid connections on both vector and principal bundles, this paper investigates a generalized Atiyah algebroid…

math.DG2022

Internal symmetry of the $L_{⩽ 3}$ algebra arising from a Lie pair

Dadi Ni, Jiahao Cheng, Zhuo Chen +1

A Lie pair is an inclusion $A$ to $L$ of Lie algebroids over the same base manifold. In an earlier work, the third author with Bandiera, Stiénon, and Xu introduced a canonical $L_{…

math.DG2019

Hopf algebras arising from dg manifolds

Jiahao Cheng, Zhuo Chen, Dadi Ni

Let $(M, Q)$ be a dg manifold. The space of vector fields with shifted degrees $(X (M) [- 1], L_{Q})$ is a Lie algebra object in the homology category $\ma…

Infinitesimal deformations of Lie algebroid pairs

Atiyah constructions for Lie algebroid connections on fiber bundles

Internal symmetry of the L⩽3​ algebra arising from a Lie pair

Hopf algebras arising from dg manifolds

Internal symmetry of the $L_{⩽ 3}$ algebra arising from a Lie pair