Monodromy of Rank 2 Parabolic Hitchin Systems
Algebraic Geometry
2020-10-09 v2
Abstract
We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the monodromy with Z2-coefficients provides an exact count of the components of the moduli spaces for these groups.
Cite
@article{arxiv.1906.03740,
title = {Monodromy of Rank 2 Parabolic Hitchin Systems},
author = {Georgios Kydonakis and Hao Sun and Lutian Zhao},
journal= {arXiv preprint arXiv:1906.03740},
year = {2020}
}