On stable sl3-homology of torus knots

Eugene Gorsky; Lukas Lewark

doi:10.1080/10586458.2014.963746

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arXiv · 1404.0623

On stable sl3-homology of torus knots

Eugene Gorsky·Lukas Lewark

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Abstract

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

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BibTeX RIS

Eugene Gorsky, Lukas Lewark. 2014-04-02. On stable sl3-homology of torus knots. https://doi.org/10.1080/10586458.2014.963746

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