# Computations of Heegaard-Floer knot homology

@article{Baldwin2006ComputationsOH,
title={Computations of Heegaard-Floer knot homology},
author={John A. Baldwin and William D. Gillam},
journal={Journal of Knot Theory and Its Ramifications},
year={2006},
volume={21},
pages={1250075}
}
• Published 5 October 2006
• Mathematics
• Journal of Knot Theory and Its Ramifications
We compute the knot Floer homology of knots with at most 12 crossings, as well as the τ invariant for knots with at most 11 crossings, using the combinatorial approach described by Manolescu, Ozsvath and Sarkar. We review their construction, giving two examples that can be workout out by hand, and we explain some ideas we used to simplify the computation. We conclude with a discussion of knot Floer homology for small knots, and we formulate a conjecture about the behavior of knot Floer homology…
62 Citations

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