A Hitchin connection on non abelian theta functions for parabolic G-bundles

5 Mar 2021 · Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth ·

For a simple, simply connected, complex group G, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-bundles over families of smooth projective curves with marked points.