Moduli of Anti-Invariant Higgs Bundles
Algebraic Geometry
2024-09-10 v1
Abstract
We study the moduli of anti-invariant Higgs bundles as introduced by Zelaci. Using recent existence results of Alper, Halpern-Leistner and Heinloth we establish the existence of a separated good moduli space for semistable anti-invariant Higgs bundles. Along the way this produces a non-GIT proof of the existence of a separated good moduli space for semistable Higgs bundles. We also prove the properness of the Hitchin system in this setting.
Cite
@article{arxiv.2409.05793,
title = {Moduli of Anti-Invariant Higgs Bundles},
author = {Karim Réga},
journal= {arXiv preprint arXiv:2409.05793},
year = {2024}
}