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arxiv: 1210.0458 · v1 · pith:C6X4FW5Anew · submitted 2012-10-01 · 🧮 math.SG

Symplectic periodic flows with exactly three equilibrium points

classification 🧮 math.SG
keywords exactlypointssymplecticthreecirclecompactconnectedequilibrium
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Let the circle act symplectically on a compact, connected symplectic manifold $M$. If there are exactly three fixed points, $M$ is equivariantly symplectomorphic to $\mathbb{CP}^2$.

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