Let (M, ω) be a ruled symplectic four-manifold. If (M, ω) is rational, then every homologically trivial symplectic cyclic action on (M, ω) is the restriction of a Hamiltonian circle action.
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River Chiang is partially supported by a MOST grant 105-2115-M-006-004 and NCTS.
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CHIANG, R., KESSLER, L. CYCLIC ACTIONS ON RATIONAL RULED SYMPLECTIC FOUR-MANIFOLDS. Transformation Groups 24, 987–1000 (2019). https://doi.org/10.1007/s00031-019-09512-z