English

Symplectic 4-manifolds with fixed point free circle actions

Geometric Topology 2013-04-16 v2 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1206.0458,
  title  = {Symplectic 4-manifolds with fixed point free circle actions},
  author = {Jonathan Bowden},
  journal= {arXiv preprint arXiv:1206.0458},
  year   = {2013}
}

Comments

5 pages (to appear in Proc. Amer. Math. Soc.)

R2 v1 2026-06-21T21:13:34.084Z