Symplectic surgeries and normal surface singularities

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dc.creatorGay, David T.
dc.creatorStipsicz, Andras I.
dc.date2007-08-10
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:09:53Z
dc.date.available2026-07-07T12:09:53Z
dc.descriptionWe show that every negative definite configuration of symplectic surfaces in a symplectic 4--manifold has a strongly symplectically convex neighborhood. We use this to show that, if a negative definite configuration satisfies an additional negativity condition at each surface in the configuration, and if the complex singularity with resolution diffeomorphic to a neighborhood of the configuration has a smoothing, then the configuration can be symplectically replaced by the smoothing of the singularity. This generalizes the symplectic rational blowdown procedure used in recent constructions of small exotic 4--manifolds.
dc.descriptionIn the main result additional hypotheses were added and the proof has been modified accordingly
dc.identifierhttps://arxiv.org/abs/0708.1417
dc.identifierhttp://arxiv.org/abs/0708.1417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209783
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.titleSymplectic surgeries and normal surface singularities
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