Parabolic Hitchin connection
Algebraic Geometry
2023-10-05 v1
Abstract
In this paper, we present an algebro-geometric construction of the Hitchin connection in the parabolic setting for a fixed determinant line bundle. Our strategy is based on Hecke modifications, where we provide a decomposition formula for the parabolic determinant line bundle and the canonical line bundle of the moduli space of parabolic bundles. As a special case, we construct a Hitchin connection on the moduli space of vector bundles with fixed non-trivial determinant.
Keywords
Cite
@article{arxiv.2310.02813,
title = {Parabolic Hitchin connection},
author = {Zakaria Ouaras},
journal= {arXiv preprint arXiv:2310.02813},
year = {2023}
}