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arXiv · 2301.02552

The Limit of the Yang-Mills-Higgs Flow for twisted Higgs pairs

Changpeng Pan·Zhenghan Shen·Pan Zhang
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Abstract

In this paper, we consider the Yang-Mills-Higgs flow for twisted Higgs pairs over K\"ahler manifolds. We prove that this flow converges to a reflexive twisted Higgs sheaf outside a closed subset of codimension $4$, and the limiting twisted Higgs sheaf is isomorphic to the double dual of the graded twisted Higgs sheaves associated to the Harder-Narasimhan--eshadri filtration of the initial twisted Higgs bundle.

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Changpeng Pan, Zhenghan Shen, Pan Zhang. 2023-01-04. The Limit of the Yang-Mills-Higgs Flow for twisted Higgs pairs. https://arxiv.org/abs/2301.02552

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