Semistable Higgs bundles on Calabi-Yau manifolds

TL;DR

This paper classifies semistable Higgs bundles on simply connected Calabi-Yau manifolds and proves a conjecture for K3 and Enriques surfaces, advancing understanding in complex geometry.

Contribution

It offers a partial classification of semistable Higgs bundles on Calabi-Yau manifolds and confirms a conjecture for specific surface classes.

Findings

Conjecture proved for K3 and Enriques surfaces

Partial classification of Higgs bundles on Calabi-Yau manifolds

Applications to special classes of semistable Higgs bundles

Abstract

We provide a partial classification of semistable Higgs bundles over a 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.