A Hitchin connection on non abelian theta functions for parabolic G-bundles
Algebraic Geometry
2023-07-19 v2 High Energy Physics - Theory
Differential Geometry
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2103.03792,
title = {A Hitchin connection on non abelian theta functions for parabolic G-bundles},
author = {Indranil Biswas and Swarnava Mukhopadhyay and Richard Wentworth},
journal= {arXiv preprint arXiv:2103.03792},
year = {2023}
}
Comments
Final version: To appear in Crelle's Journal. Major Changes based on comments of anonymous referees: Section on Ginzburg algebra is split from this to form a separate paper, Theorem 6.3 from arXiv2110.00430v1 (also will be updated soon) is now moved to this paper with additional details