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math.DG2005
Connectivity and Kirwan surjectivity for isoparametric submanifolds
Augustin-Liviu Mare
Atiyah's formulation of what is nowadays called the convexity theorem of Atiyah-Guillemin-Sternberg has two parts: (a) the image of the moment map arising from a Hamiltonian action…
math.SG2005★ 4 cited
Connectivity properties of moment maps on based loop groups
Megumi Harada, Tara S Holm, Lisa C Jeffrey +1
For a compact, connected, simply-connected Lie group G, the loop group LG is the infinite-dimensional Hilbert Lie group consisting of H^1-Sobolev maps S^1-->G. The geometry of LG a…