Kobayashi—Hitchin correspondence for twisted vector bundles

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...

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Bibliographic Details
Main Author: Perego Arvid
Format: Article
Language:English
Published: De Gruyter 2021-01-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2020-0107