Bruzzo, UgoLanza, ValerianoLo Giudice, Alessio2017-09-252017-09-252017https://openscience.sissa.it/handle/1963/35295We 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.enHiggs bundlesBogomolov inequalityRestriction to curvesK3 surfacesPreprint40/2017/MATE