Harmonic maps into loop spaces of compact Lie groups

DOI10.1007/s11425-007-0201-6zbMath1155.58007OpenAlexW2077981401WikidataQ115378369 ScholiaQ115378369MaRDI QIDQ943418

Armen Glebovich Sergeev

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0201-6

zbMATH Keywords

harmonic mapsYang-Mills fieldstwistor bundles

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Harmonic maps, etc. (58E20)

Cites Work

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• Kähler geometry of loop spaces
• Instantons in two and four dimensions
• Instantons and geometric invariant theory
• Tournaments, flags, and harmonic maps
• The explicit construction and parametrization of all harmonic maps from the two-sphere to a complex Grassmannian.
• Self-duality in four-dimensional Riemannian geometry
• Twistor spaces and harmonic maps
• Harmonic maps into homogeneous Riemannian manifolds: twistor approach

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