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- W1663500635 abstract "A generalized moment map is proposed for arbitrary symplectic actions of compact connected Lie groups on closed symplectic manifolds, in the spirit of the circle -valued maps introduced by D. McDuff in the case of non-Hamiltonian circle actions. We study equivariance properties of generalized moments, show that they allow reduction procedures, and obtain in the torus case a version of the Atiyah-Guillemin-Sternberg convexity theorem. As illustration, we reformulate a proof of M.K. Kim that complexity one symplectic torus actions are Hamiltonian, and give a symplectic proof of the finiteness of certain symmetry groups of compact oriented surfaces." @default.
- W1663500635 created "2016-06-24" @default.
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- W1663500635 date "2003-04-29" @default.
- W1663500635 modified "2023-09-27" @default.
- W1663500635 title "On Generalized Moment Maps for Symplectic Compact Group Actions" @default.
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