On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles

被引：1

作者：

Pan, Changpeng ^{[1
]}

Shen, Zhenghan ^{[1
]}

Zhang, Xi ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing, Peoples R China

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2024年 / 128卷 / 01期

关键词：

VECTOR-BUNDLES; HIGGS BUNDLES; REPRESENTATIONS; CONNECTIONS; SURFACE; MAPS;

D O I：

10.1112/plms.12580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the non-Hermitian Yang-Mills (NHYM) bundles over compact Kahler manifolds. We show that the existence of harmonic metrics is equivalent to the semisimplicity of NHYM bundles, which confirms the Conjecture 8.7 in Kaledin and Verbitsky (Selecta Math. (N.S.) 4 (1998) 279-320).

引用

页数：24

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