The gradient flow of Higgs pairs

DOI10.4171/JEMS/284zbMath1228.53032MaRDI QIDQ638780

Xi Zhang, Jiayu Li

Publication date: 14 September 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Higgs bundles, Kähler surface, Harder-Narasimhan-Seshadri filtration

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ Semi-stable Higgs sheaves and Bogomolov type inequality ⋮ Degenerate, strong and stable Yang-Mills-Higgs pairs ⋮ Flat Higgs bundles over non-compact affine Gauduchon manifolds ⋮ Automorphisms and connections on Higgs bundles over compact Kähler manifolds ⋮ The limit of the Hermitian-Yang-Mills flow on reflexive sheaves ⋮ The non-abelian Hodge correspondence on some non-Kähler manifolds ⋮ A note on semistable Higgs bundles over compact Kähler manifolds ⋮ Convergence of Yang-Mills-Higgs flow for twist Higgs pairs on Riemann surfaces ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ A note on curvature estimate of the Hermitian-Yang-Mills flow ⋮ In memory of Professor Chen Jiangong (Chen Kien Kwong) on the 120th anniversary of his birth ⋮ Progress on asymptotic behavior of the Yang-Mills-Higgs flow ⋮ The gradient flow for gauged harmonic map in dimension two. II ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions

Cites Work

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• The Yang-Mills equations over Riemann surfaces
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• Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric
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