Pseudoholomorphic punctured spheres in R x (S^1 x S^2) : Properties and existence

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dc.creatorTaubes, Clifford Henry
dc.date2009-03-01
dc.date.accessioned2026-07-07T12:48:00Z
dc.date.available2026-07-07T12:48:00Z
dc.descriptionThis is the first of at least two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R x (S^1 x S^2) as defined by a certain natural pair of almost complex structure and symplectic form. This article proves that all moduli space components are smooth manifolds. Necessary and sufficient conditions are also given for a collection of closed curves in S^1 x S^2 to appear as the set of |s| --> infinity limits of the constant s in R slices of a pseudoholomorphic, multiply punctured sphere.
dc.descriptionThis is the version published by Geometry & Topology on 24 July 2006
dc.identifierhttps://arxiv.org/abs/0903.0142
dc.identifierhttp://arxiv.org/abs/0903.0142
dc.identifierGeom. Topol. 10 (2006) 785-928
dc.identifierdoi:10.2140/gt.2006.10.785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221911
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D30, 53C15, 53D05, 57R17
dc.titlePseudoholomorphic punctured spheres in R x (S^1 x S^2) : Properties and existence
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