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arXiv · 2208.04354

On d-Holomorphic Connections

Sanjay Amrutiya·Ayush Jaiswal
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Abstract

We develop the theory of d-holomorphic connections on d-holomorphic vector bundles over a Klein surface by constructing the analogous Atiyah exact sequence for d-holomorphic bundles. We also give a criterion for the existence of d-holomorphic connection in d-holomorphic bundle over a Klein surface in the spirit of the Atiyah-Weil criterion for holomorphic connections.

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Sanjay Amrutiya, Ayush Jaiswal. 2022-08-08. On d-Holomorphic Connections. https://doi.org/10.1007/s12044-023-00742-6

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