Symplectic 4-manifolds with fixed point free circle actions

Bowden, Jonathan

doi:10.1090/S0002-9939-2014-12032-6

Symplectic 4-manifolds with fixed point free circle actions
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by Jonathan Bowden

Proc. Amer. Math. Soc. 142 (2014), 3299-3303

DOI: https://doi.org/10.1090/S0002-9939-2014-12032-6

Published electronically: April 25, 2014

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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.

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