A parabolic analog of a theorem of Beilinson and Schechtman

Abstract

For a simple, simply connected, complex group G, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of parabolic $G$-bundles. This generalizes an earlier result of Beilinson-Schechtman.

Split from arXiv:2103.03792 as a separate paper based on suggestions of a referee with some additional details