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

Eugene Lerman; Anton Malkin

doi:10.1016/j.aim.2011.10.013

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

Eugene Lerman, Anton Malkin

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	984-1000
Number of pages	17
Journal	Advances in Mathematics
Volume	229
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2011.10.013
State	Published - Jan 30 2012

Keywords

Deligne-Mumford stack
Symplectic geometry
Symplectic reduction
Toric

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2011.10.013

Cite this

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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.",

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KW - Symplectic geometry

KW - Symplectic reduction

KW - Toric

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

Abstract

Keywords

ASJC Scopus subject areas

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