Holomorphic disks and three-manifold invariants: properties and applications

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In an earlier paper (math.SG/0101206), we introduced Floer homology theories associated to closed, oriented three-manifolds Y and SpinC structures. In the present paper, we give calculations and study the properties of these invariants. The calculations suggest a conjectured relationship with Seiberg-Witten theory. The properties include a relationship between the Euler characteristics of these theories and Turaev's torsion, a relationship with the minimal genus problem (Thurston norm), and surgery exact sequences. We also include some applications of these techniques to three-manifold topology.
87 pages, 12 figures. To appear in Annals of Mathematics. Reorganized both this paper and its prequel, math.SG/0101206

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Symplectic Geometry, Algebraic Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/61527

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105202
 http://arxiv.org/abs/math/0105202

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arXiv