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\newblock arXiv:1603.04476, March 2016.

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\newblock Identities and positivity conjectures for some remarkable operators
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\newblock {\em Meths. and Appls. of Analysis}, 6(3):363--420, 1999.

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F.~Bergeron, A.~Garsia, E.~S. Leven, and G.~Xin.
\newblock {Compositional} $(km, kn)$-{Shuffle} {Conjectures}.
\newblock {\em Int. Math. Research Notices}, October 2015.

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\newblock A proof of the shuffle conjecture.
\newblock arXiv:math/1508.06239, August 2015.

\bibitem[EH16]{elias-hogancamp}
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\newblock On the computation of torus link homology.
\newblock arXiv:1603.00407, March 2016.

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\newblock Refined knot invariants and {Hilbert} schemes.
\newblock {\em J. Math. Pures Appl.}, 9(104):403--435, 2015.

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\newblock Torus knots and the {Rational DAHA}.
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\newblock {\em The $q,t$-{Catalan} Numbers and the Space of Diagonal
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\newblock Amer. Math. Soc., 2008.
\newblock Vol. 41 of University Lecture Series.

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J.~Haglund.
\newblock The combinatorics of knot invariants arising from the study of
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\newblock In A.~Beveridge, J.~R. Griggs, L.~Hogben, G.~Musiker, and P.~Tetali,
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J.~Haglund, M.~Haiman, and N.~Loehr.
\newblock A combinatorial formula for {Macdonald} polynomials.
\newblock {\em J. Amer. Math. Soc.}, 18:735--761, 2005.

\bibitem[Kho07]{khovanov}
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\newblock Triply-graded link homology and {Hochschild} homology of {Soergel}
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\newblock {\em Internat. J. Math.}, 18(8):869--885, 2007.

\bibitem[KR08]{khovanov-rozansky}
Mikhail Khovanov and Lev Rozansky.
\newblock Matrix factorizations and link homology.
\newblock {\em Fund. Math.}, 199(1):1--91, 2008.

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A.~Lascoux, B.~Leclerc, and J.-Y. Thibon.
\newblock Ribbon tableaux, {Hall-Littlewood} functions, quantum affine
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\bibitem[{Mel}16]{mellit-rational}
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\newblock {Toric braids and $(m,n)$-parking functions}.
\newblock arXiv:1604.07456, April 2016.

\bibitem[Ren15]{ren}
Q.~Ren.
\newblock Ordered partitions and drawings of rooted plane trees.
\newblock {\em Discrete Math.}, 338:1--9, 2015.

\bibitem[{Ser}16]{leven-square}
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\newblock {A proof of the Square Paths Conjecture}.
\newblock arXiv:1601.06249, January 2016.

\bibitem[Slo]{oeis}
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\newblock {The On-Line Encyclopedia of Integer Sequences}.
\newblock Published electronically at \texttt{http://oeis.org}.

\bibitem[Sta99]{ec2}
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\newblock {\em Enumerative Combinatorics}, volume~2.
\newblock Cambridge University Press, 1999.

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