We provide a partial classification of semistable Higgs bundles over simply connected Calabi–Yau manifolds. Applications to a conjecture about a special class of semistable Higgs bundles are given. In particular, the conjecture is proved for K3 and Enriques surfaces, and some related classes of surfaces.

中文翻译：

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Calabi–Yau流形上的半稳定希格斯束

我们提供了简单连接的Calabi–Yau流形上的半稳定希格斯束的部分分类。给出了关于一类特殊的半稳定希格斯束的猜想的应用。特别是，证明了K3和Enriques曲面以及某些相关类别的曲面的猜想。