Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.

DOI10.1007/BF02922051zbMath1034.58011MaRDI QIDQ1608539

Vsevolod V. Shevchishin

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Yang-Mills equationremovable singularitieslimit holonomySobolev connection

Mathematics Subject Classification ID

Related Items (5)

Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases ⋮ Yang-Mills replacement ⋮ Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds ⋮ Topological and analytical properties of Sobolev bundles. I: The critical case ⋮ Optimal Łojasiewicz-Simon inequalities and Morse-Bott Yang-Mills energy functions

Cites Work

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• The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions
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• The Chern classes of Sobolev connections
• Point singularities of coupled gauge fields with low energy
• The coupled Yang-Mills-Dirac equations for differential forms
• Connections with \(L^ p \)bounds on curvature
• Removable singularities for holomorphic vector bundles
• Classification of singular Sobolev connections by their holonomy
• The Oka-Grauert principle for the extension of holomorphic line bundles with integrable curvature
• Removable singularities for the Yang-Mills-Higgs equations in two dimensions
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• The Thullen type extension theorem for holomorphic vector bundles with \(L^ 2\)-bounds on curvature
• Removable singularities of solutions of linear partial differential equations
• Removable singularities in coupled yang-mills-dirac fields
• Higher-order singularities in coupled Yang-Mills-Higgs fields
• Solutions to Yang—Mills equations that are not self-dual
• Singular Sobolev connections with holonomy
• Characteristic Classes. (AM-76)
• Removable singularities in Yang-Mills fields
• On self-dual gauge fields

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