A combinatorial description of knot Floer homology
classification
🧮 math.GT
math.SG
keywords
knotcombinatorialdescriptiondiagramfloerheegaardhomologycomplement
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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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