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Real Moment Map and Hyperkähler Geometry Techniques: The Cotangent Bundle to the 2-Sphere and SL(2, ℂ)-Adjoint Orbits

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Publication:2883144
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DOI10.1142/S1005386712000144zbMath1242.53106OpenAlexW2119877240MaRDI QIDQ2883144

Ralph J. Bremigan

Publication date: 11 May 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://worldscinet.com/ac/19/1902/S1005386712000144.html


zbMATH Keywords

flag manifoldmoment maphyper-KählerEguchi-Hanson


Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Momentum maps; symplectic reduction (53D20)




Cites Work

  • Unnamed Item
  • Remarks on real nilpotent orbits of a symmetric pair
  • The topology of quotient varieties
  • Cartan decomposition of the moment map
  • The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
  • Self-dual solutions to Euclidean gravity
  • Matsuki correspondence for sheaves
  • Orbit duality for flag manifolds
  • On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
  • A Stratification of the Null Cone Via the Moment Map
  • Twisteurs des orbites coadjointes et métriques hyper-pseudokählériennes
  • Stratifications with respect to actions of real reductive groups
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