Pages 633-660 from Volume 169 (2009), Issue 2 by Ciprian Manolescu, Peter Ozsváth, Sucharit Sarkar
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 $K$.
Received: 31 July 2006
Revised: 28 March 2007
Accepted: 17 December 2007
Published online: 8 March 2009
Authors
Ciprian Manolescu
Department of Mathematics
Columbia University
New York NY, 10027
United States
Peter Ozsváth
Department of Mathematics
Columbia University
New York NY, 10027
United States
Sucharit Sarkar
Department of Mathematics
Princeton University
Princeton, NJ 08544
United States
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