Twistor interpretation of harmonic spheres and Yang-Mills fields

DOI10.3390/math3010047zbMath1312.53072OpenAlexW2066151368MaRDI QIDQ2339592

Armen Glebovich Sergeev

Publication date: 2 April 2015

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math3010047

zbMATH Keywords

harmonic spherestwistorsYang-Mills fields

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor methods in differential geometry (53C28) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (3)

Loop groups in Yang-Mills theory ⋮ Bäcklund transformations ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Harmonic maps from surfaces to complex projective spaces
• Instantons in two and four dimensions
• A twistor description of harmonic maps of a 2-sphere into a Grassmannian
• Instantons and geometric invariant theory
• Yang-Mills equations on the two-dimensional sphere
• Tournaments, flags, and harmonic maps
• Construction of instantons
• Non-minimal Yang-Mills fields and dynamics
• Instantons and algebraic geometry
• Harmonic spheres conjecture
• Non-self-dual Yang-Mills connections with nonzero Chern number
• Characteristic Classes and Homogeneous Spaces, I
• Solutions to Yang—Mills equations that are not self-dual
• Self-duality in four-dimensional Riemannian geometry

This page was built for publication: Twistor interpretation of harmonic spheres and Yang-Mills fields