A combinatorial description of knot Floer homology
Geometric Topology
2007-08-23 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0607691,
title = {A combinatorial description of knot Floer homology},
author = {Ciprian Manolescu and Peter Ozsvath and Sucharit Sarkar},
journal= {arXiv preprint arXiv:math/0607691},
year = {2007}
}
Comments
22 pages; 9 figures. Expanded proof of Proposition 2.3 and corrected typeos