A note of semistable Higgs bundles over compact K\"ahler manifolds
Differential Geometry
2015-06-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1506.02146,
title = {A note of semistable Higgs bundles over compact K\"ahler manifolds},
author = {Yanci Nie and Xi Zhang},
journal= {arXiv preprint arXiv:1506.02146},
year = {2015}
}