On \(d\)-holomorphic connections (Q6050189)

The authors develop the theory of \(d\)-holomorphic connections on \(d\)-holomorphic bundles over Klein surfaces by constructing the analogue of the Atiyah exact sequence for \(d\)-holomorphic bundles. They also prove a criterion for the existence of a \(d\)-holomorphic connection on a \(d\)-holomorphic bundle over a Klein surface. They define such a \(d\)-holomorphic connection as a splitting of the Atiyah exact sequence. The authors also investigate jet bundles and relate them with \(d\)-holomorphic connections.