Symplectic 4-manifolds with fixed point free circle actions

Abstract

We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action and we give a complete description of the symplectic cone in this case. This then completes the characterisation of symplectic 4-manifolds that admit non-trivial circle actions.

arXiv comment5 pages (to appear in Proc. Amer. Math. Soc.)

References in corpus (1)

• Seifert fibered four-manifolds with nonzero Seiberg-Witten invariant

Cited by in corpus (2)

• Virtually symplectic fibered 4-manifolds
• The closure of the symplectic cone of elliptic surfaces