{"title":"Moduli of Anti-Invariant Higgs Bundles","authors":"Karim Réga","doi":"arxiv-2409.05793","DOIUrl":null,"url":null,"abstract":"We study the moduli of anti-invariant Higgs bundles as introduced by Zelaci.\nUsing recent existence results of Alper, Halpern-Leistner and Heinloth we\nestablish the existence of a separated good moduli space for semistable\nanti-invariant Higgs bundles. Along the way this produces a non-GIT proof of\nthe existence of a separated good moduli space for semistable Higgs bundles. We\nalso prove the properness of the Hitchin system in this setting.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05793","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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