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math.SG2010
Simple Hamiltonian manifolds
Jean-Claude Hausmann, Tara S. Holm
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map Phi: M-->t^*, such that the fixed set M^T ha…
math.SG2010
Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds
Tara Holm, Tomoo Matsumura
In this paper, we study Hamiltonian R-actions on symplectic orbifolds [M/S], where R and S are tori. We prove an injectivity theorem and generalize Tolman-Weitsman's proof of the G…