Symplectic resolutions, Lefschetz property and formality

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dc.creatorCavalcanti, Gil
dc.creatorFernandez, Marisa
dc.creatorMunoz, Vicente
dc.date2007-10-03
dc.date.accessioned2026-07-07T09:30:56Z
dc.date.available2026-07-07T09:30:56Z
dc.descriptionWe introduce a method to resolve a symplectic orbifold into a smooth symplectic manifold. Then we study how the formality and the Lefschetz property of the symplectic resolution are compared with that of the symplectic orbifold. We also study the formality of the symplectic blow-up of a symplectic orbifold along symplectic submanifolds disjoint from the orbifold singularities. This allows us to construct the first example of a simply connected compact symplectic manifold of dimension 8 which satisfies the Lefschetz property but is not formal, therefore giving a counter-example to a conjecture of Babenko and Taimanov.
dc.description21 pages, no figures
dc.identifierhttps://arxiv.org/abs/0710.0731
dc.identifierhttp://arxiv.org/abs/0710.0731
dc.identifierAdv. Math., 218 (2), 2008, 576--599
dc.identifierdoi:10.1016/j.aim.2008.01.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158285
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject57R17; 57R19
dc.titleSymplectic resolutions, Lefschetz property and formality
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