Periodic Hamiltonian flows on four dimensional manifolds

dc.creatorKarshon, Yael
dc.date1995-10-13
dc.date1998-04-07
dc.date.accessioned2026-07-07T08:59:09Z
dc.date.available2026-07-07T08:59:09Z
dc.descriptionWe classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian S^1 spaces. Additionally, we show that all these spaces are Kaehler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.
dc.description71 pages, LaTeX. The paper is essentially rewritten (following an excellent referee report): I clarified statements, simplified proofs, added missing details, and corrected a false proof of a true statement, which is currently in Appendix C
dc.identifierhttps://arxiv.org/abs/dg-ga/9510004
dc.identifierhttp://arxiv.org/abs/dg-ga/9510004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147603
dc.subjectDifferential Geometry
dc.subject58F05, 70H33 (Primary) 53C12, 53C55 (Secondary)
dc.titlePeriodic Hamiltonian flows on four dimensional manifolds
dc.typetext

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