A combinatorial description of knot Floer homology

Details A combinatorial description of knot Floer homology A combinatorial description of knot Floer homology

2006-07-26

arxiv.org/abs/math/0607691v2

Mathematics

Geometric Topology

22 pages; 9 figures. Expanded proof of Proposition 2.3 and corrected typeos

Scientific paper

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.

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