Amrutiya, SanjaySanjayAmrutiyaJaiswal, AyushAyushJaiswal2025-08-312025-08-312023-12-0110.1007/s12044-023-00742-62-s2.0-85166189400https://d8.irins.org/handle/IITG2025/26514We develop the theory of d-holomorphic connections on d-holomorphic vector bundles over Klein surfaces 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.falsed-holomorphic bundles | d-holomorphic connections | Klein surfacesArticle09737685December 2023021arJournal0WOS:001040935400002