Abstract
The stable Khovanov– Rozansky homology of torus knots has been conjecturally described as the Koszul homology of an explicit irregular sequence of polynomials. We verify this conjecture using newly available computational data for -homology. Special attention is paid to torsion. In addition, explicit conjectural formulas are given for the -homology of (3, m)-torus knots for all N and m, which are motivated by higher categorified Jones–Wenzl projectors. Structurally similar formulas are proven for Heegard–Floer homology.
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