A symplectic Gysin sequence

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We use the theory of pseudo-holomorphic quilts to establish a counterpart, in symplectic Floer homology, to the Gysin sequence for the homology of a sphere-bundle. In a motivating class of examples, this "symplectic Gysin sequence" is precisely analogous to an exact sequence describing the behaviour of Seiberg-Witten monopole Floer homology for 3-manifolds under connected sum.
62 pages, 6 figures

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Symplectic Geometry, Geometric Topology, 57R17; 47R58; 57R57

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http://salesiana.dossiersoluciones.com/handle/123456789/164746

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.1863
 http://arxiv.org/abs/0807.1863

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arXiv