An open 4-manifold having no instanton

DOI10.1007/s10455-011-9256-2zbMath1257.53043arXiv1004.3394OpenAlexW1966269113MaRDI QIDQ717136

Masaki Tsukamoto

Publication date: 27 September 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3394

zbMATH Keywords

Yang-Mills theoryinstantoninfinite connected sumopen 4-manifold

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Surgery and handlebodies (57R65) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Yang-Mills instantons from gravitational instantons

Cites Work

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• Instanton approximation, periodic ASD connections, and mean dimension
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Self-dual connections on 4-manifolds with indefinite intersection matrix
• Gauge theory on infinite connected sum and mean dimension
• Quasiconformal 4-manifolds
• Anti-self-dual equation on 4-manifolds with degenerate metric
• Elliptic partial differential equations of second order
• Gauge theory on asymptotically periodic 4-manifolds
• The unregularized gradient flow of the symplectic action
• Moduli Space of Brody Curves, Energy and Mean Dimension
• An Infinite Dimensional Version of Sard's Theorem
• Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space

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