Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2009
- DOI:
- arXiv:
- arXiv:0908.0903
- Bibcode:
- 2009arXiv0908.0903L
- Keywords:
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- Mathematics - Symplectic Geometry;
- Mathematics - Algebraic Geometry
- E-Print:
- 14 pages v2: minor changes