On d-Holomorphic Connections
Algebraic Geometry
2023-08-07 v1 Differential Geometry
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.
Cite
@article{arxiv.2208.04354,
title = {On d-Holomorphic Connections},
author = {Sanjay Amrutiya and Ayush Jaiswal},
journal= {arXiv preprint arXiv:2208.04354},
year = {2023}
}