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Connectedness of levels for moment maps on various classes of loop groups

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Publication:601280
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zbMath1202.53080arXivmath/0702792MaRDI QIDQ601280

Augustin-Liviu Mare

Publication date: 4 November 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702792


zbMATH Keywords

Sobolev class


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Loop groups and related constructions, group-theoretic treatment (22E67) Momentum maps; symplectic reduction (53D20)




Cites Work

  • Connectivity properties of moment maps on based loop groups
  • Quillen's theorem on buildings and the loops on a symmetric space
  • Holomorphic curves in loop groups
  • A filtration of the loops on SU\((N)\) by Schubert varieties
  • Integral homology of real flag manifolds and loop spaces of symmetric spaces
  • Geometric Invariant Theory
  • Projectivity of moment map quotients
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