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arXiv · 2102.07177

The Atiyah class of generalized holomorphic vector bundles

Honglei Lang·Xiao Jia·Zhangju Liu
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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.

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Honglei Lang, Xiao Jia, Zhangju Liu. 2021-02-14. The Atiyah class of generalized holomorphic vector bundles. https://arxiv.org/abs/2102.07177

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