Symplectic 4-manifolds with fixed point free circle actions

Jonathan Bowden

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arXiv · 1206.0458

Symplectic 4-manifolds with fixed point free circle actions

Jonathan Bowden

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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.

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BibTeX RIS

Jonathan Bowden. 2013-04-13. Symplectic 4-manifolds with fixed point free circle actions. https://arxiv.org/abs/1206.0458

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