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arXiv · 0803.2379

Effective computation of knot Floer homology

Jean-Marie Droz
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Abstract

We extend an approach of Beliakova for computing knot Floer homology and implement it in a publicly available computer program. We review the main programming and optimization methods used. Our program is then used to check that the Floer homology of a prime non-alternating knot with less than 12 crossings has no torsion.

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Jean-Marie Droz. 2008-03-17. Effective computation of knot Floer homology. https://arxiv.org/abs/0803.2379

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