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.
Original language | English (US) |
---|---|
Pages (from-to) | 984-1000 |
Number of pages | 17 |
Journal | Advances in Mathematics |
Volume | 229 |
Issue number | 2 |
DOIs | |
State | Published - Jan 30 2012 |
Keywords
- Deligne-Mumford stack
- Symplectic geometry
- Symplectic reduction
- Toric
ASJC Scopus subject areas
- General Mathematics