A Parabolic Analog of a Theorem of Beilinson and Schechtman
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.