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Hyperbolic knots with arbitrarily large torsion order in knot Floer homology

Hyperbolic knots with arbitrarily large torsion order in knot Floer homology

In knot Floer homology, there are two types of torsion order. One is the minimal power of the action of the variable $U$ to annihilate the $\mathbb{F}_2[U]$-torsion submodule of the minus version of knot Floer homology $\mathrm{HFK}^-(K)$. This is introduced by Juh\'{a}sz, Miller and Zemke, and denoted by $\mathrm{Ord}(K)$. The …