The Atiyah class of generalized holomorphic vector bundles
Algebraic Geometry
2023-02-03 v2 Mathematical Physics
math.MP
Abstract
We introduce the notion of Atiyah class of a generalized holomorphic vector bundle, which captures the obstruction to the existence of generalized holomorphic connections on the bundle. As in the classical holomorphic case, this Atiyah class can be defined in three different ways: using \v{C}ech cohomology, using the first-jet short exact sequence, or adopting the Lie pair point of view.
Keywords
Cite
@article{arxiv.2102.07177,
title = {The Atiyah class of generalized holomorphic vector bundles},
author = {Honglei Lang and Xiao Jia and Zhangju Liu},
journal= {arXiv preprint arXiv:2102.07177},
year = {2023}
}