A combinatorial description of knot Floer homology

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Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are squares. Using this diagram, we obtain a purely combinatorial description of the knot Floer homology of K.
22 pages; 9 figures. Expanded proof of Proposition 2.3 and corrected typeos

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Geometric Topology, Symplectic Geometry, 57R58, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/136551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607691
 http://arxiv.org/abs/math/0607691

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arXiv