Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov-Rozansky homology and higher Catalan sequences   We give a simple recursion which computes the triply graded Khovanov-Rozansky
homology of several infinite families of knots and links, including the
$(n,nm\pm 1)$ and $(n,nm)$ torus links for $n,m\geq 1$. We interpret our
results in terms of Catalan combinatorics, proving a conjecture of Gorsky's.
Our computations agree with predictions coming from Hilbert schemes and
rational DAHA, which also proves the Gorsky-Oblomkov-Rasmussen-Shende
conjectures in these cases. Additionally, our results suggest a topological
interpretation of the symmetric functions which appear in the context of the
$m$-shuffle conjecture of Haglund-Haiman-Loehr-Remmel-Ulyanov.

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex