Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds
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math.AG
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symplecticgroupstacksactionsdeligne-mumfordhamiltonianorbifoldstoric
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We develop differential and symplectic geometry of differentiable Deligne-Mumford stacks (orbifolds) including Hamiltonian group actions and symplectic reduction. As an application we construct new examples of symplectic toric DM stacks as symplectic quotients of C^NxBG, where G is a finite non-abelian group.
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