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Torus link homology
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abstract
We compute the triply graded Khovanov-Rozansky homology of a family of links, including positive torus links and $\operatorname{Sym}^l$-colored torus knots.
Forward citations
Cited by 4 Pith papers
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Instanton slices and their superpolynomials
Motivic superpolynomials of plane-curve singularities are repackaged as "instanton slice" counts, conjecturally matching new DAHA superpolynomials that are claimed to produce superpolynomials for hyperbolic knots.
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Morse matchings and Khovanov homology of 4-strand torus links
Recursive Morse matchings compute integral Khovanov homology for all 4-strand torus links with at least 28 strands, including abundant 4-torsion and agreement with the Gorsky-Oblomkov-Rasmussen conjecture at infinity.
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Stable deformed $\mathfrak{gl}_N$ homology of torus knots
The authors compute the E2 page of the Rasmussen spectral sequence for stable gl_N Khovanov-Rozansky homology of torus knots, verifying the predicted algebraic description for all N.
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The Last Three T-degrees in Triply-Graded Link Homology
For any braid, the outermost three T-degree layers of reduced triply-graded HOMFLY homology are determined explicitly, and are almost entirely zero with only a few one-dimensional k-modules.
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