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arxiv: 1905.07292 · v1 · pith:EQPNO7XKnew · submitted 2019-05-17 · 🧮 math.SG · math.AG

Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III

classification 🧮 math.SG math.AG
keywords actionsadmittingcircleclassificationhamiltonianmanifoldmanifoldsmonotone
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In this paper, we complete the classification of six-dimensional closed monotone symplectic manifolds admitting semifree Hamiltonian $S^1$-actions. We also show that every such manifold is $S^1$-equivariantly symplectomorphic to some K\"{a}ahler Fano manifold with a certain holomorphic Hamiltonian circle action.

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