Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds

Published 6 Aug 2009 in math.SG and math.AG | (0908.0903v2)

Abstract: 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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