A note of semistable Higgs bundles over compact K\"ahler manifolds

Yanci Nie; Xi Zhang

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arXiv · 1506.02146

A note of semistable Higgs bundles over compact K\"ahler manifolds

Yanci Nie·Xi Zhang

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Abstract

In this note, by using the Yang-Mills-Higgs flow, we show that semistable Higgs bundles with vanishing the first and second Chern numbers over compact K\"aher manifolds must admit a filtration whose quotients are Hermitian flat Higgs bundles.

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Yanci Nie, Xi Zhang. 2015-06-06. A note of semistable Higgs bundles over compact K\"ahler manifolds. https://arxiv.org/abs/1506.02146

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