Abstract

Let a connected compact Lie group G act on a connected symplectic orbifold of orbifold fundamental group Γ. If the action preserves the symplectic structure and there is a G-equivariant and mod-Γ proper momentum map for the lifted action on the universal branch covering orbifold, and if the lifted G-action commutes with that of Γ, then the symplectic convexity theorem is still true for this kind of lifted Hamiltonian action.

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