English

Effective computation of knot Floer homology

Geometric Topology 2008-03-18 v1

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.

Keywords

Cite

@article{arxiv.0803.2379,
  title  = {Effective computation of knot Floer homology},
  author = {Jean-Marie Droz},
  journal= {arXiv preprint arXiv:0803.2379},
  year   = {2008}
}

Comments

17 pages

R2 v1 2026-06-21T10:21:59.289Z