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

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

2009-08-06

arxiv.org/abs/0908.0903v2

Advances in Mathematics Volume 229, Issue 2, 30 January 2012, Pages 984-1000

Mathematics

Symplectic Geometry

14 pages v2: minor changes

Scientific paper

10.1016/j.aim.2011.10.013

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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