A combinatorial description of knot Floer homology
arXiv:math/0607691
Abstract
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