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@book{ec2,
	Author = {R. P. Stanley},
	Date-Added = {2017-04-18 10:57:10 +0000},
	Date-Modified = {2017-04-18 10:57:51 +0000},
	Publisher = {Cambridge University Press},
	Title = {Enumerative Combinatorics},
	Volume = {2},
	Year = {1999}}

@url{oeis,
	Author = {N. J. A. Sloane},
	Date-Added = {2017-04-18 10:56:19 +0000},
	Date-Modified = {2017-04-18 10:57:00 +0000},
	Title = {The On-Line Encyclopedia of Integer Sequences},
	Url = {http://oeis.org}}

@misc{leven-square,
	Author = {E. S. Leven},
	Date-Added = {2017-04-18 10:52:23 +0000},
	Date-Modified = {2017-04-18 10:53:25 +0000},
	Eprint = {1601.06249},
	Eprinttype = {arxiv},
	Title = {A proof of the Square Paths Conjecture},
	Year = {2016}}

@article{ren,
	Author = {Q. Ren},
	Date-Added = {2017-04-18 10:51:01 +0000},
	Date-Modified = {2017-04-18 10:51:54 +0000},
	Doi = {10.1016/j.disc.2014.08.014},
	Journal = {Discrete Math.},
	Pages = {1--9},
	Title = {Ordered partitions and drawings of rooted plane trees},
	Volume = {338},
	Year = {2015}}

@misc{mellit-rational,
	Author = {A. Mellit},
	Date-Added = {2017-04-18 09:30:11 +0000},
	Date-Modified = {2017-04-18 09:30:54 +0000},
	Eprint = {1604.07456},
	Eprinttype = {arxiv},
	Title = {Toric braids and $(m,n)$-parking functions},
	Year = {2016}}

@article{llt,
	Author = {A. Lascoux and B. Leclerc and J.-Y. Thibon},
	Date-Added = {2017-04-18 09:28:34 +0000},
	Date-Modified = {2017-04-18 09:29:45 +0000},
	Doi = {10.1063/1.531807},
	Journal = {J. Math. Phys.},
	Pages = {1041--1068},
	Title = {Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras, and unipotent varieties},
	Volume = {38},
	Year = {1997}}

@article{khovanov-rozansky,
	Author = {M. Khovanov and L. Rozansky},
	Date-Added = {2017-04-18 09:27:22 +0000},
	Date-Modified = {2017-04-18 09:28:23 +0000},
	Doi = {10.4064/fm199-1-1},
	Journal = {Fund. Math.},
	Pages = {1--91},
	Title = {Matrix factorizations and link homology},
	Volume = {199},
	Year = {2008}}

@article{khovanov,
	Author = {M. Khovanov},
	Date-Added = {2017-04-18 09:25:04 +0000},
	Date-Modified = {2017-04-18 09:26:53 +0000},
	Doi = {10.1142/s0129167x07004400},
	Journal = {Internat. J. Math.},
	Pages = {869--885},
	Title = {Triply-graded link homology and {Hochschild} homology of {Soergel} bimodules},
	Volume = {18},
	Year = {2007}}

@article{hhl,
	Author = {J. Haglund and M. Haiman and N. Loehr},
	Date-Added = {2017-04-18 09:23:05 +0000},
	Date-Modified = {2017-04-18 09:24:11 +0000},
	Doi = {10.1090/S0894-0347-05-00485-6},
	Journal = {J. Amer. Math. Soc.},
	Pages = {735--761},
	Title = {A combinatorial formula for Macdonald polynomials},
	Volume = {18},
	Year = {2005}}

@incollection{haglund-knots,
	Author = {J. Haglund},
	Booktitle = {Recent Trends in Combinatorics},
	Date-Added = {2017-04-18 09:19:05 +0000},
	Date-Modified = {2017-04-18 09:22:03 +0000},
	Pages = {579--600},
	Publisher = {Springer},
	Series = {The IMA Volumes in Mathematics and its Applications},
	Title = {The combinatorics of knot invariants arising from the study of Macdonald polynomials},
	Year = {2016}}

@book{haglund-book,
	Author = {J. Haglund},
	Date-Added = {2017-04-18 09:17:31 +0000},
	Date-Modified = {2017-04-18 09:18:28 +0000},
	Publisher = {Amer. Math. Soc.},
	Series = {University Lecture Series, Vol. 41},
	Title = {The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics},
	Year = {2008}}

@article{gors-knots,
	Author = {E. Gorsky and A. Oblomkov and J. Rasmussen and V. Shende},
	Date-Added = {2017-04-18 09:15:57 +0000},
	Date-Modified = {2017-04-18 09:16:29 +0000},
	Doi = {10.1215/00127094-2827126},
	Journal = {Duke Math. J.},
	Pages = {2709--2794},
	Title = {Torus knots and the rational {DAHA}},
	Volume = {163},
	Year = 2014,
	Bdsk-Url-1 = {https://doi.org/10.1215%2F00127094-2827126},
	Bdsk-Url-2 = {http://dx.doi.org/10.1215/00127094-2827126}}

@article{gorsky-negut,
	Author = {E. Gorsky and A. Negu{\c{t}}},
	Date-Added = {2017-04-18 09:14:28 +0000},
	Date-Modified = {2017-04-18 09:15:24 +0000},
	Doi = {10.1016/j.matpur.2015.03.003},
	Journal = {J. Math. Pures Appl.},
	Pages = {403--435},
	Title = {Refined knot invariants and Hilbert schemes},
	Volume = {104},
	Year = 2015,
	Bdsk-Url-1 = {https://doi.org/10.1016%2Fj.matpur.2015.03.003},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.matpur.2015.03.003}}

@misc{elias-hogancamp,
	Author = {B. Elias and M. Hogancamp},
	Date-Added = {2017-04-18 09:13:05 +0000},
	Date-Modified = {2017-04-18 09:13:43 +0000},
	Eprint = {1603.00407},
	Eprinttype = {arxiv},
	Title = {On the computation of the torus link homology},
	Year = {2016}}

@misc{carlsson-mellit,
	Author = {E. Carlsson and A. Mellit},
	Date-Added = {2017-04-18 09:12:00 +0000},
	Date-Modified = {2017-04-18 09:12:46 +0000},
	Eprint = {1508.06239},
	Eprinttype = {arxiv},
	Title = {A proof of the shuffle conjecture},
	Year = {2015}}

@article{rational-shuffle,
	Author = {F. Bergeron and A. Garsia and E. S. Leven and G. Xin},
	Date-Added = {2017-04-18 08:28:55 +0000},
	Date-Modified = {2017-04-18 08:30:24 +0000},
	Doi = {10.1093/imrn/rnv272},
	Journal = {Int. Math. Res. Notices},
	Pages = {4229--4270},
	Title = {Compositional $(km,kn)$-Shuffle Conjectures},
	Volume = {2016},
	Year = 2016,
	Bdsk-Url-1 = {https://doi.org/10.1093%2Fimrn%2Frnv272},
	Bdsk-Url-2 = {http://dx.doi.org/10.1093/imrn/rnv272}}

@article{bght-positivity,
	Author = {F. Bergeron and A. M. Garsia and M. Haiman and G. Tesler},
	Date-Added = {2017-04-18 08:26:58 +0000},
	Date-Modified = {2017-04-18 08:27:39 +0000},
	Doi = {10.4310/maa.1999.v6.n3.a7},
	Journal = {Meths. Appls. Analysis},
	Pages = {363--420},
	Title = {Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions},
	Volume = {6},
	Year = 1999,
	Bdsk-Url-1 = {https://doi.org/10.4310%2Fmaa.1999.v6.n3.a7},
	Bdsk-Url-2 = {http://dx.doi.org/10.4310/maa.1999.v6.n3.a7}}

@misc{bergeron-open,
	Author = {F. Bergeron},
	Date-Added = {2017-04-18 08:25:25 +0000},
	Date-Modified = {2017-04-18 08:26:03 +0000},
	Eprint = {1603.04476},
	Eprinttype = {arxiv},
	Title = {Open Questions for operators related to Rectangular Catalan Combinatorics},
	Year = {2016}}

@article{alexander,
	Author = {J. Alexander},
	Date-Added = {2017-04-18 08:22:00 +0000},
	Date-Modified = {2017-04-18 08:23:13 +0000},
	Doi = {10.1073/pnas.9.3.93},
	Journal = {Proc. Nat. Acad. Sci.},
	Pages = {93--95},
	Title = {A lemma on systems of knotted curves},
	Volume = {9},
	Year = 1923,
	Bdsk-Url-1 = {https://doi.org/10.1073%2Fpnas.9.3.93},
	Bdsk-Url-2 = {http://dx.doi.org/10.1073/pnas.9.3.93}}