# A combinatorial description of knot Floer homology

@article{Manolescu2006ACD,
title={A combinatorial description of knot Floer homology},
author={Ciprian Manolescu and Peter S. Ozsvath and Sucharit Sarkar},
journal={Annals of Mathematics},
year={2006},
volume={169},
pages={633-660}
}
• Published 2006
• Mathematics
• Annals of Mathematics
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.
212 Citations

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