Kobayashi—Hitchin correspondence for twisted vector bundles

Complex Manifolds

Perego Arvid¹ 

[1] Dipartimento di Matematica, Università di Genova, via Dodecaneso 35, 16146Genova, Italy.;

关键词: twisted vector bundles;    semistability;    hermite-einsten metrics;    32l05;    53c07;    14j60;    53d18;    53c28;    53c15;    15a66;    32l25;   

DOI  :  10.1515/coma-2020-0107

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown