Existence of Symplectic Surfaces

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dc.creatorLi, Tian-Jun
dc.date2008-12-29
dc.date.accessioned2026-07-07T12:23:02Z
dc.date.available2026-07-07T12:23:02Z
dc.descriptionIn this paper we show that every degree 2 homology class of a 2n-dimensional symplectic manifold is represented by an immersed symplectic surface if it has positive symplectic area. Moreover, the symplectic surface can be chosen to be embedded if 2n is at least 6. We also analyze the additional conditions under which embedded symplectic representatives exist in dimension 4.
dc.identifierhttps://arxiv.org/abs/0812.4929
dc.identifierhttp://arxiv.org/abs/0812.4929
dc.identifierGeometry and Topology of Manifolds, 203-217, Fields Inst. Commun., 47, AMS, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213856
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleExistence of Symplectic Surfaces
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