Effective computation of knot Floer homology

Details Effective computation of knot Floer homology Effective computation of knot Floer homology

2008-03-17

arxiv.org/abs/0803.2379v1

Mathematics

Geometric Topology

17 pages

Scientific paper

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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