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arxiv: 1206.0458 · v2 · pith:LASUAA3Hnew · submitted 2012-06-03 · 🧮 math.GT · math.SG

Symplectic 4-manifolds with fixed point free circle actions

classification 🧮 math.GT math.SG
keywords symplecticcircleactionactionsadmitsfixedfreemanifolds
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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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