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arXiv · 2606.20307

The Hermitian-Yang-Mills Iteration on Stable Bundles

Huai-Dong Cao·Xiaofeng Sun·Yingying Zhang
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Abstract

In this paper, based on recent results for the prescribed Hermitian-Yang-Mills (HYM) tensor and its twisted variants by Fan-Wang-Yang-Yau, we provide a dynamical construction of Hermitian-Einstein metrics on stable holomorphic vector bundles and its extension to Higgs bundles. Additionally, in the appendix, we use the heat flow method to give a new proof of the existence and uniqueness of solutions to the twisted prescribed HYM tensor equation, as well as its generalization to Higgs bundles.

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Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang. 2026-06-18. The Hermitian-Yang-Mills Iteration on Stable Bundles. https://arxiv.org/abs/2606.20307

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