Kobayashi—Hitchin correspondence for twisted vector bundles

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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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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)

Creator: Perego, Arvid

DOI: 10.1515/coma-2020-0107

URN: urn:nbn:de:101:1-2022111213211290694696

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:22 AM CEST

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Perego, Arvid

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Kobayashi—Hitchin correspondence for twisted vector bundles

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Other Objects (12)

Supersymmetric Field Theories from Twisted Vector Bundles

Vector bundles

Splitting algorithm for vector bundles

On varieties with Ulrich twisted tangent bundles

Small homogeneous vector bundles

Moduli spaces of parabolic twisted generalized Higgs bundles

Vector Bundles over Thom Complexes

Scalar curvature and vector bundles

Algebraic and motivic vector bundles

Lelong Numbers and Vector Bundles

KERNELS OF VECTOR BUNDLES MORPHISMS

Non-connected Lie groups, twisted equivariant bundles and coverings

Supersymmetric Field Theories from Twisted Vector Bundles

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On varieties with Ulrich twisted tangent bundles

Small homogeneous vector bundles

Moduli spaces of parabolic twisted generalized Higgs bundles

Vector Bundles over Thom Complexes

Scalar curvature and vector bundles

Algebraic and motivic vector bundles

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Scalar curvature and vector bundles

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