UC Davis

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.