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.
Original language | English (US) |
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Pages (from-to) | 633-660 |
Number of pages | 28 |
Journal | Annals of Mathematics |
Volume | 169 |
Issue number | 2 |
DOIs | |
State | Published - 2009 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty