Structures in HOMFLY-PT homology
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 sl(2) 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 sl(N) concordance invariants.
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