论非ermitian Yang-Mills 束上谐波度量的存在性

IF 1.5 1区数学 Q1 MATHEMATICS Proceedings of the London Mathematical Society Pub Date : 2023-12-25 DOI:10.1112/plms.12580

Changpeng Pan, Zhenghan Shen, Xi Zhang

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引用次数: 0

摘要

在本文中，我们研究了紧凑凯勒流形上的非全息杨-米尔斯（NHYM）束。我们证明了调和度量的存在等同于 NHYM 束的半简单性，这证实了 Kaledin 和 Verbitsky (Selecta Math. (N.S.) 4 (1998) 279-320) 中的猜想 8.7。

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

In this paper, we study the non-Hermitian Yang–Mills (NHYM) bundles over compact Kähler 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).

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Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

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审稿时长

6-12 weeks

期刊介绍： The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers. The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.

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