Abstract

We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the action defined by the second author, Hogancamp and Mellit. In particular, we compute the HOMFLY-PT S-invariant for all knots in the dataset, and compare it to the concordance invariants.

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