A note of semistable Higgs bundles over compact Kähler manifolds

2015/06/06 by Yanci Nie, Xi Zhang, Nie, Yanci +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1506.02146

openalex publication_date 2015/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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 Käher manifolds must admit a filtration whose quotients are Hermitian flat Higgs bundles.

Citations

• The limit of the Yang-Mills-Higgs flow on Higgs bundles
• The Self-Duality Equations on a Riemann Surface

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