Abstract
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic 4-manifold admits a fixed point free circle action if and only if it admits a symplectic structure that is invariant under the action and we give a complete description of the symplectic cone in this case. This then completes the topological characterisation of symplectic 4-manifolds that admit non-trivial circle actions.
Original language | English |
---|---|
Pages (from-to) | 3299-3303 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 142 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Sep 2014 |
Externally published | Yes |