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

Eugene Lerman, Anton Malkin

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)984-1000
Number of pages17
JournalAdvances in Mathematics
Volume229
Issue number2
DOIs
StatePublished - Jan 30 2012

Keywords

  • Deligne-Mumford stack
  • Symplectic geometry
  • Symplectic reduction
  • Toric

ASJC Scopus subject areas

  • Mathematics(all)

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