Heegaard diagrams and Floer homology

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We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invariant to knot theory: studying the Thurston norm of a link complement, the slice genus of a knot, and the unknotting number of a knot. We emphasize the application to the Thurston norm, and illustrate the theory in the case of the Conway link.
To appear in the Proceedings for ICM-2006 Madrid

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Geometric Topology, Symplectic Geometry, 53D; 57R

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http://salesiana.dossiersoluciones.com/handle/123456789/108927

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602232
 http://arxiv.org/abs/math/0602232

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arXiv