Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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EFFECTIVE COMPUTATION OF KNOT FLOER HOMOLOGY

JEAN-MARIE DROZ

pp. 471-491

Abstract

Beliakova gave in [2] a method for computing link Floer homology. We extend her approach to $\mathbb Z$ coefficients 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 $\leqslant 11$ crossings has no torsion.