Symplectic surfaces in a fixed homology class

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The purpose of this paper is to investigate the following problem: For a fixed 2-dimensional homology class K in a simply connected symplectic 4-manifold, up to smooth isotopy, how many connected smoothly embedded symplectic submanifolds represent K? We show that when K can be represented by a symplectic torus, there are many instances when K can be representated by infinitely many non-isotopic symplectic tori.
16 pages; this corrected version will appear in the Journal of Differential Geometry

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Symplectic Geometry, Differential Geometry, 57R40

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http://salesiana.dossiersoluciones.com/handle/123456789/78052

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902028
 http://arxiv.org/abs/math/9902028

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arXiv