Open AccessCurvature estimate of the Yang-Mills-Higgs flow on Kähler manifolds
Author(s) -
Zhenghan Shen
Publication year - 2022
Publication title -
zhongguo kexue jishu daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.13
H-Index - 10
ISSN - 0253-2778
DOI - 10.52396/justc-2021-0221
Subject(s) - higgs boson , curvature , gravitational singularity , metric (unit) , mathematics , kähler manifold , yang–mills existence and mass gap , flow (mathematics) , hermitian matrix , bundle , bounded function , pure mathematics , mathematical analysis , physics , mathematical physics , geometry , particle physics , materials science , composite material , gauge theory , economics , operations management
The curvature estimate of the Yang-Mills-Higgs flow on Higgs bundles over compact Kähler manifolds is studied. Under the assumptions that the Higgs bundle is non-semistable and the Harder-Narasimhan-Seshadri filtration has no singularities with length one, it is proved that the curvature of the evolved Hermitian metric is uniformly bounded.