A Parabolic Analog of a Theorem of Beilinson and Schechtman.

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. [ABSTRACT FROM AUTHOR]