On certain geometric and homotopy properties of closed symplectic manifolds

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dc.creatorIbáñez, Raúl
dc.creatorRudyak, Yuli
dc.creatorTralle, Aleksy
dc.creatorUgarte, Luis
dc.date2000-02-10
dc.date.accessioned2026-07-07T04:33:47Z
dc.date.available2026-07-07T04:33:47Z
dc.descriptionThe paper deals with relations between the Hard Lefschetz property, (non)vanishing of Massey products and the evenness of odd-degree Betti numbers of closed symplectic manifolds. It is known that closed symplectic manifolds can violate all these properties (in contrast with the case of Kaehler manifolds). However, the relations between such homotopy properties seem to be not analyzed. This analysis may shed a new light on topology of symplectic manifolds. In the paper, we summarize our knowledge in tables (different in the simply-connected and in symplectically aspherical cases). Also, we discuss the variation of symplectically harmonic Betti numbers on some 6-dimensional manifolds.
dc.identifierhttps://arxiv.org/abs/math/0002071
dc.identifierhttp://arxiv.org/abs/math/0002071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58660
dc.subjectSymplectic Geometry
dc.subject53C15
dc.titleOn certain geometric and homotopy properties of closed symplectic manifolds
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