Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds
arXiv:0908.0903 · doi:10.1016/j.aim.2011.10.013
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.
14 pages v2: minor changes
References in corpus (3)
Cited by in corpus (15)
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- Equivariant Cohomology of Weighted Grassmannians and Weighted Schubert Classes
- The lattice points of a stacky polytope
- Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds