Cyclic actions on rational ruled symplectic four-manifolds

Abstract

Let $(M,\omega )$ be a ruled symplectic four-manifold. If $(M,\omega )$ is rational, then every homologically trivial symplectic cyclic action on $(M,\omega )$ is the restriction of a Hamiltonian circle action.

References in corpus (4)

• A survey of group actions on 4-manifolds
• Group actions on 4-manifolds: some recent results and open questions
• Symplectic neighborhood of crossing divisors
• Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

Cited by in corpus (2)

• Centralizers of Hamiltonian finite cyclic group actions on rational ruled surfaces
• Centralizers of Hamiltonian circle actions on rational ruled surfaces