Instanton approximation, periodic ASD connections, and mean dimension

DOI10.1016/j.jfa.2010.11.008zbMath1217.58007arXiv0909.1141OpenAlexW1989688405MaRDI QIDQ629711

Masaki Tsukamoto, Shinichiroh Matsuo

Publication date: 9 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1141

zbMATH Keywords

Yang-Mills gauge theorymean dimensioninfinite dimensional deformation theoryinstanton approximationperiodic ASD connections

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (8)

The embedding problem in topological dynamics and Takens’ theorem ⋮ A Runge approximation theorem for pseudo-holomorphic maps ⋮ Local mean dimension of ASD moduli spaces over the cylinder ⋮ An open 4-manifold having no instanton ⋮ Large dynamics of Yang-Mills theory: mean dimension formula ⋮ Sofic mean length ⋮ Brody curves and mean dimension ⋮ Mean topological dimension for random bundle transformations

Cites Work

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• Path-connected Yang-Mills moduli spaces
• Gauge theory on infinite connected sum and mean dimension
• On a Hölder covariant version of mean dimension
• Self-dual Yang-Mills connections on non-self-dual 4-manifolds
• Connections with \(L^ p \)bounds on curvature
• The approximation of instantons
• Uhlenbeck compactness
• Mean dimension, small entropy factors and an embedding theorem
• An application of gauge theory to four dimensional topology
• Unique continuation theorems in gauge theories
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• A dynamical approach to von Neumann dimension
• Width of l^p balls
• Compact Manifolds and Hyperbolicity
• Deformation of Brody curves and mean dimension
• Self-duality in four-dimensional Riemannian geometry
• Gluing an Infinite Number of Instantons

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