Amrutiya, SanjaySanjayAmrutiyaJaiswal, AyushAyushJaiswal2025-08-282025-08-282022-08-01http://arxiv.org/abs/2208.04354http://repository.iitgn.ac.in/handle/IITG2025/20148We 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.en-USD-holomorphic connectionsD-holomorphic vectorKlein surfaceAnalogous AtiyahAtiyah-Weil criterione-Print123456789/555