A combinatorial description of knot Floer homology

Ciprian Manolescu, Peter Ozsváth, Sucharit Sarkar

Type: Article

Publication Date: 2009-03-01

Citations: 229

DOI: https://doi.org/10.4007/annals.2009.169.633

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.

Locations

arXiv (Cornell University) - View - PDF
Annals of Mathematics - View - PDF

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