On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
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Publication:1910160
DOI10.1007/BF01446293zbMath0843.53027WikidataQ116278229 ScholiaQ116278229MaRDI QIDQ1910160
Publication date: 26 June 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165403
coadjoint orbitscomplex semisimple Lie groupsymplectic leavesNahm's equationsholomorphic Poisson manifoldsKronheimer's construction of hyperkähler metrics
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
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Cites Work
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- Nahm's equations and the classification of monopoles
- Connections with \(L^ p \)bounds on curvature
- Boundary value problems for Yang-Mills fields
- Les variétés de Poisson et leurs algèbres de Lie associees
- Instantons and the geometry of the nilpotent variety
- Harmonic Bundles on Noncompact Curves
- Fibrés paraboliques stables et connexions singulières plates
- A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group
