Semistable Higgs Bundles on Calabi-Yau Manifolds
We provide a partial classification of semistable Higgs bundles over a simply connected Calabi-Yau manifold. 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.
Higgs bundles, Bogomolov inequality, Restriction to curves, K3 surfaces