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arXiv · 1707.05467

Equivariant bundles and adapted connections

Indranil Biswas·Arjun Paul·Arideep Saha
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Abstract

Given a complex manifold $M$ equipped with a holomorphic action of a connected complex Lie group $G$, and a holomorphic principal $H$--bundle $E_H$ over $X$ equipped with a $G$--connection $h$, we investigate the connections on the principal $H$--bundle $E_H$ that are (strongly) adapted to $h$. Examples are provided by holomorphic principal $H$--bundles equipped with a flat partial connection over a foliated manifold.

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Indranil Biswas, Arjun Paul, Arideep Saha. 2017-07-18. Equivariant bundles and adapted connections. https://arxiv.org/abs/1707.05467

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