Kobayashi—Hitchin correspondence for twisted vector bundles
Abstract: We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds. More precisely, if X is a compact manifold and g is a Gauduchon metric on X, a twisted holomorphic vector bundle on X is g−polystable if and only if it is g−Hermite-Einstein, and if X is a compact Kähler manifold and g is a Kähler metric on X, then a twisted holomorphic vector bundle on X is g−semistable if and only if it is approximate g−Hermite-Einstein.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Kobayashi—Hitchin correspondence for twisted vector bundles ; volume:8 ; number:1 ; year:2021 ; pages:1-95 ; extent:95
Complex manifolds ; 8, Heft 1 (2021), 1-95 (gesamt 95)
- Urheber
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Perego, Arvid
- DOI
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10.1515/coma-2020-0107
- URN
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urn:nbn:de:101:1-2022111213211290694696
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:22 MESZ
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Beteiligte
- Perego, Arvid
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