Direct minimizing method for Yang-Mills energy over \(SO(3)\) bundle

DOI10.1007/s00208-023-02773-wMaRDI QIDQ6624746

Hao Yin

Publication date: 28 October 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Mathematics Subject Classification ID

Computer science (68-XX) Quantum theory (81-XX)

Cites Work

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• Geometry of minimal energy Yang-Mills connections
• SO(3)-connections and the topology of 4-manifolds
• The existence of minimal immersions of 2-spheres
• Stability and isolation phenomena for Yang-Mills fields
• Self-dual Yang-Mills connections on non-self-dual 4-manifolds
• Connections with \(L^ p \)bounds on curvature
• Compactification of moduli space of harmonic mappings
• Minimization of conformally invariant energies in homotopy classes
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• An application of gauge theory to four dimensional topology
• Interpolation spaces and energy quantization for Yang-Mills fields
• The Yang-Mills \(\alpha\)-flow in vector bundles over four manifolds and its applications
• The energy identity for a sequence of Yang-Mills \(\alpha \)-connections
• On the Sacks-Uhlenbeck flow of Riemannian surfaces
• Solutions to Yang—Mills equations that are not self-dual
• BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES
• The Yamabe problem
• Self-duality in four-dimensional Riemannian geometry
• Stability and gap phenomena for Yang-Mills fields

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