Moduli of Anti-Invariant Higgs Bundles

2024/09/09 by Réga, Karim
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.05793

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.

Related

• Semistable Non Abelian Hodge theorem in positive characteristic
• Semistable Higgs bundles of small ranks are strongly Higgs semistable
• Anti-holomorphic involutions of the moduli spaces of Higgs bundles
• Construction of the Moduli Space of Higgs Bundles using Analytic Methods
• Projective Moduli for Hitchin Pairs