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Research Article | Open Access

Semi-stable quiver bundles over Gauduchon manifolds

Dan-Ni Chen, Jing Cheng, Xiao Shen, Pan Zhang( )
School of Mathematical Sciences, Anhui University, Hefei 230601, China
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Abstract

In this paper, we prove the existence of the approximate ( σ , τ )-Hermitian Yang-Mills structure on the ( σ , τ )-semi-stable quiver bundle R = ( E , ϕ ) over compact Gauduchon manifolds. An interesting aspect of this work is that the argument on the weakly L 1 2 -subbundles is different from [Álvarez-Cónsul and García-Prada, Comm. Math. Phys., 2003] and [Hu-Huang, J. Geom. Anal., 2020].

Keywords

(σ, τ)-semi-stabilityapproximate (σ, τ)-Hermitian Yang-Mills structurecontinuity method
CLC number: 53C07, 53C25

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 11546-11556
DOI: 10.3934/math.2023584

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Cite this article:
Chen D-N, Cheng J, Shen X, et al. Semi-stable quiver bundles over Gauduchon manifolds. AIMS Mathematics, 2023, 8(5): 11546-11556. https://doi.org/10.3934/math.2023584

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Received: 21 December 2022
Revised: 06 March 2023
Accepted: 09 March 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)