Non-Hamiltonian actions with fewer isolated fixed points

Abstract

In an earlier paper, the second author resolved a question of McDuff by constructing a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly 32 fixed points. In this paper, we improve on this example by reducing the number of fixed points. More concretely, we construct a non-Hamiltonian symplectic circle action on a closed, connected six-dimensional symplectic manifold with exactly $2k$ fixed points for any $k\ge 5$.

References in corpus (3)

• Circle actions on almost complex manifolds with isolated fixed points
• Free circle actions with contractible orbits on symplectic manifolds
• Symplectic circle actions with isolated fixed points

Cited by in corpus (1)

• Remarks on symplectic circle actions, torsion and loops