A parabolic analog of a theorem of Beilinson and Schechtman

Author:

Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Quantum Algebra (math.QA), Representation Theory (math.RT)

journal:

date:

2023-07-17 16:00:00

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.

PDF: A parabolic analog of a theorem of Beilinson and Schechtman.pdf