The universal connection for principal bundles over homogeneous spaces and twistor space of coadjoint orbits

Indranil Biswas, Michael Lennox Wong

Given a holomorphic principal bundle $Q⟶X$, the universal space of holomorphic connections is a torsor $C_1(Q)$ for $\text{ad}Q\otimes T^{\ast }X$ such that the pul…