Decay estimate for Yang-Mills fields on ALE spaces and applications

DOI10.1016/j.geomphys.2024.105170OpenAlexW4392562961MaRDI QIDQ6204242

Youmin Chen, Miaomiao Zhu

Publication date: 27 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2024.105170

zbMATH Keywords

decay estimatesYang-Mills connectionsALE manifolds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Blow-up in context of PDEs (35B44)

Cites Work

• Moduli spaces of anti-self-dual connections on ALE gravitational instantons
• On Calabi's conjecture for complex surfaces with positive first Chern class
• Yang-Mills instantons on ALE gravitational instantons
• The construction of ALE spaces as hyper-Kähler quotients
• A Torelli-type theorem for gravitational instantons
• Stability and isolation phenomena for Yang-Mills fields
• Connections with \(L^ p \)bounds on curvature
• Gauge theories on four dimensional Riemannian manifolds
• The \(L^ 2\) structure of moduli spaces of Einstein metrics on 4- manifolds
• Sharp decay estimates for Yang-Mills fields
• Uhlenbeck compactness
• Chern-Simons invariants of 3-manifolds and representation spaces of knot groups
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• Characteristic forms and geometric invariants
• On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Bubbling out of Einstein manifolds
• Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
• Instanton Homology of Seifert Fibred Homology Three Spheres
• The mass of an asymptotically flat manifold
• Some isoperimetric inequalities and eigenvalue estimates
• Topological methods to compute Chern-Simons invariants
• A convergence theorem for Einstein metrics and the ALE spaces
• Removable singularities in Yang-Mills fields
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