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arXiv · 2505.18821

Lie Algebroid Connections on Principal Bundles

Samit Ghosh·Arjun Paul
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Abstract

Let $X$ be an irreducible smooth complex projective variety. Let $G$ be a linear algebraic group over $\mathbb{C}$. We define the notion of Lie algebroid valued connection on holomorphic principal $G$--bundles on $X$, and study their basic properties under extension and reduction of structure group. Finally we investigate criterions for existence of a Lie algebroid connection on principal $G$--bundles over smooth complex projective curves.

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Samit Ghosh, Arjun Paul. 2025-05-24. Lie Algebroid Connections on Principal Bundles. https://arxiv.org/abs/2505.18821

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