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

Research paper by Yanci Nie, Xi Zhang

Indexed on: 06 Jun '15Published on: 06 Jun '15Published in: Mathematics - Differential Geometry


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.