The convexity package for Hamiltonian actions on conformal symplectic manifolds

Abstract

Consider a Hamiltonian action of a compact connected Lie group on a conformal symplectic manifold. We prove a convexity theorem for the moment map under the assumption that the action is of Lee type, which establishes an analog of Kirwan's convexity theorem in conformal symplectic geometry.

31 pages, 1 figure. Appendix on conformal presymplectic manifolds added. Minor mistakes corrected

References in corpus (2)

• Stacky Hamiltonian actions and symplectic reduction
• Locally conformally symplectic convexity