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arXiv · 2305.13763

Relative connections on Principal bundles and relative equivariant structures

Mainak Poddar·Anoop Singh
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Abstract

We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation with relative holomorphic connections on principal bundles.

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Mainak Poddar, Anoop Singh. 2023-05-23. Relative connections on Principal bundles and relative equivariant structures. https://arxiv.org/abs/2305.13763

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