Twisteurs des orbites coadjointes et métriques hyper-pseudokählériennes

DOI10.24033/bsmf.2321zbMath0929.53024OpenAlexW2253458758MaRDI QIDQ4225827

Olivier Biquard

Publication date: 30 March 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1998__126_1_79_0

zbMATH Keywords

twistorsNahm equationhyper-pseudo-Kählerian metricstwistor inverse

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28)

Related Items (4)

Real Moment Map and Hyperkähler Geometry Techniques: The Cotangent Bundle to the 2-Sphere and SL(2, ℂ)-Adjoint Orbits ⋮ The universal connection for principal bundles over homogeneous spaces and twistor space of coadjoint orbits ⋮ The Hyperholomorphic Line Bundle ⋮ Geometric quantization of real minimal nilpotent orbits

Cites Work

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• Nahm's equations and the classification of monopoles
• Hyperkähler metrics and supersymmetry
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Twistor geometry for hyperkähler metrics on complex adjoint orbits
• On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
• Instantons and the geometry of the nilpotent variety
• Fibrés de higgs et connexions intégrables : Le cas logarithmique (diviseur lisse)
• The Hodge filtration on nonabelian cohomology
• CLASSICAL NILPOTENT ORBITS AS HYPERKÄHLER QUOTIENTS
• A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group

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