Progress on asymptotic behavior of the Yang-Mills-Higgs flow

DOI10.1007/s11766-013-3248-xzbMath1299.53076arXiv1410.8268OpenAlexW2004904961MaRDI QIDQ2016934

Xi Zhang, Jiayu Li

Publication date: 30 June 2014

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8268

zbMATH Keywords

Kähler manifoldHiggs bundleYang-Mills-Higgs flow

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 (1)

A note on semistable Higgs bundles over compact Kähler manifolds

Cites Work

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• Asymptotics of the Yang-Mills flow for holomorphic vector bundles over Kähler manifolds: the canonical structure of the limit
• The gradient flow of Higgs pairs
• Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections
• Morse theory for the space of Higgs bundles
• Infinite determinants, stable bundles and curvature
• The topology of the space of stable bundles on a compact Riemann surface
• Hermitian-Einstein metrics on parabolic stable bundles
• Stability of complex vector bundles
• Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
• Stable and unitary vector bundles on a compact Riemann surface
• A Hartogs type extension theorem for coherent analytic sheaves
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• The Self-Duality Equations on a Riemann Surface
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• On the existence of hermitian-yang-mills connections in stable vector bundles
• The Yang-Mills equations over Riemann surfaces
• Convergence properties of the Yang-Mills flow on Kähler surfaces
• Sur Les Fibrés Paraboliques Sur Une Surface Complexe
• Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds

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