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arXiv · 2409.05793

Moduli of Anti-Invariant Higgs Bundles

Karim Réga
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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.

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Karim Réga. 2024-09-09. Moduli of Anti-Invariant Higgs Bundles. https://arxiv.org/abs/2409.05793

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