Convergence properties of the Yang-Mills flow on Kähler surfaces

DOI10.1515/crll.2004.083zbMath1063.53026arXivmath/0410055OpenAlexW2964020092MaRDI QIDQ4827442

Richard A. Wentworth, Georgios D. Daskalopoulos

Publication date: 17 November 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410055

zbMATH Keywords

Kähler surfaceBando Siu conjectureYang Mills flow

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) 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 (24)

GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ On the blow-up set of the Yang-Mills flow on Kähler surfaces ⋮ Instantons and singularities in the Yang-Mills flow ⋮ Morse theory for the space of Higgs \(G\)-bundles ⋮ Moment map flows and the Hecke correspondence for quivers ⋮ Automorphisms and connections on Higgs bundles over compact Kähler manifolds ⋮ The limit of the Hermitian-Yang-Mills flow on reflexive sheaves ⋮ The Yang-Mills flow for cylindrical end 4-manifolds ⋮ The limiting behaviour of the Hermitian-Yang-Mills flow over compact non-Kähler manifolds ⋮ The gradient flow of Higgs pairs ⋮ Higgs Bundles and Local Systems on Riemann Surfaces ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Morse theory of the moment map for representations of quivers ⋮ Convergence of Yang-Mills-Higgs flow for twist Higgs pairs on Riemann surfaces ⋮ Parabolic flows in complex geometry ⋮ Convergence of the Yang–Mills–Higgs flow on Gauged Holomorphic maps and applications ⋮ The coupled Yang-Mills-Higgs flow ⋮ 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 ⋮ Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold ⋮ Long-time existence for Yang-Mills flow ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ Higgs bundles over non-compact Gauduchon manifolds

Cites Work

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