@article {Anderson, AUTHOR = {Anderson, J.}, TITLE = {Partitions which are simultaneously {$t\sb 1$}- and {$t\sb 2$}-core}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {248}, YEAR = {2002}, NUMBER = {1-3}, PAGES = {237--243}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A17}, MRNUMBER = {MR1892698 (2002m:05021)}, } @article {GaHa, AUTHOR = {Garsia, A. M. and Haiman, M.}, TITLE = {A remarkable {$q,t$}-{C}atalan sequence and {$q$}-{L}agrange inversion}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {5}, YEAR = {1996}, NUMBER = {3}, PAGES = {191--244}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {05E15 (05A10 05A30 05E10)}, MRNUMBER = {MR1394305 (97k:05208)}, MRREVIEWER = {Edward E. Allen}, } @book {Hd08, AUTHOR = {Haglund, J.}, TITLE = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal harmonics}, SERIES = {University Lecture Series}, VOLUME = {41}, NOTE = {With an appendix on the combinatorics of Macdonald polynomials}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2008}, PAGES = {viii+167}, MRCLASS = {05E05 (05A05 05A30 33D52)}, MRNUMBER = {2371044 (2009f:05261)}, MRREVIEWER = {Michael A. Zabrocki}, } @article {AHJ, AUTHOR = {Armstrong, D. and Hanusa, C. R. H. and Jones, B. C.}, TITLE = {Results and conjectures on simultaneous core partitions}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {41}, YEAR = {2014}, PAGES = {205--220}, ISSN = {0195-6698}, MRCLASS = {05A17}, MRNUMBER = {3219261}, MRREVIEWER = {Ashok Kumar Agarwal}, DOI = {10.1016/j.ejc.2014.04.007}, } @article {ALW, AUTHOR = {Armstrong, D. and Loehr, N. A. and Warrington, G. S.}, TITLE = {Sweep maps: a continuous family of sorting algorithms}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {284}, YEAR = {2015}, PAGES = {159--185}, ISSN = {0001-8708}, MRCLASS = {05A15 (05A19 05A30 68R15)}, MRNUMBER = {3391074}, MRREVIEWER = {Sergi Elizalde}, DOI = {10.1016/j.aim.2015.07.012}, } @article {BGLX, AUTHOR = {Bergeron, F. and Garsia, A. and Sergel Leven, E. and Xin, G.}, TITLE = {Compositional {$(km,kn)$}-shuffle conjectures}, JOURNAL = {Int. Math. Res. Not. IMRN}, FJOURNAL = {International Mathematics Research Notices. IMRN}, YEAR = {2016}, NUMBER = {14}, PAGES = {4229--4270}, ISSN = {1073-7928}, MRCLASS = {05E05 (05E10)}, MRNUMBER = {3556418}, MRREVIEWER = {Xinrong Ma}, DOI = {10.1093/imrn/rnv272}, } @article {EH, AUTHOR = {Elias, B. and Hogancamp, M.}, TITLE = {On the computation of torus link homology}, JOURNAL = {Compos. Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {155}, YEAR = {2019}, NUMBER = {1}, PAGES = {164--205}, ISSN = {0010-437X}, MRCLASS = {57M27 (57M25)}, MRNUMBER = {3880028}, MRREVIEWER = {Mark Clifford Hughes}, DOI = {10.1112/s0010437x18007571}, } @article {GGS, AUTHOR = {Gorsky, E. and Gukov, S. and Sto\v{s}i\'{c}, M.}, TITLE = {Quadruply-graded colored homology of knots}, JOURNAL = {Fund. Math.}, FJOURNAL = {Fundamenta Mathematicae}, VOLUME = {243}, YEAR = {2018}, NUMBER = {3}, PAGES = {209--299}, ISSN = {0016-2736}, MRCLASS = {57M27 (20C08 81T30)}, MRNUMBER = {3863060}, MRREVIEWER = {Ioannis Diamantis}, DOI = {10.4064/fm30-11-2017}, } @article {GMV16, AUTHOR = {Gorsky, E. and Mazin, M. and Vazirani, M.}, TITLE = {Rational {D}yck paths in the non relatively prime case}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {24}, YEAR = {2017}, NUMBER = {3}, PAGES = {Paper 3.61, 29}, MRCLASS = {05A19 (05E10 14M15 20C32 57M27)}, MRNUMBER = {3711103}, MRREVIEWER = {Christian Lavault}, DOI = {10.37236/6901}, } @article {GN, AUTHOR = {Gorsky, E. and Negu\c{t}, A.}, TITLE = {Refined knot invariants and {H}ilbert schemes}, JOURNAL = {J. Math. Pures Appl. (9)}, FJOURNAL = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es. Neuvi\`eme S\'{e}rie}, VOLUME = {104}, YEAR = {2015}, NUMBER = {3}, PAGES = {403--435}, ISSN = {0021-7824}, MRCLASS = {14C05 (20C08)}, MRNUMBER = {3383172}, MRREVIEWER = {Bruno P. Zimmermann}, DOI = {10.1016/j.matpur.2015.03.003}, } @article {GM2, AUTHOR = {Gorsky, E. and Mazin, M.}, TITLE = {Compactified {J}acobians and {$q,t$}-{C}atalan numbers, {II}}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {39}, YEAR = {2014}, NUMBER = {1}, PAGES = {153--186}, ISSN = {0925-9899}, MRCLASS = {05E15 (05A10 14H40)}, MRNUMBER = {3144397}, MRREVIEWER = {Anthony Henderson}, DOI = {10.1007/s10801-013-0443-z}, } @article {GM1, AUTHOR = {Gorsky, E. and Mazin, M.}, TITLE = {Compactified {J}acobians and {$q,t$}-{C}atalan numbers, {I}}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {120}, YEAR = {2013}, NUMBER = {1}, PAGES = {49--63}, ISSN = {0097-3165}, MRCLASS = {05E15 (05A10 14H40)}, MRNUMBER = {2971696}, MRREVIEWER = {Anthony Henderson}, DOI = {10.1016/j.jcta.2012.07.002}, } @incollection {Gor, AUTHOR = {Gorsky, E.}, TITLE = {{$q,t$}-{C}atalan numbers and knot homology}, BOOKTITLE = {Zeta functions in algebra and geometry}, SERIES = {Contemp. Math.}, VOLUME = {566}, PAGES = {213--232}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2012}, MRCLASS = {57M27 (05A10 05A19)}, MRNUMBER = {2858925}, MRREVIEWER = {Hao Wu}, DOI = {10.1090/conm/566/11222}, } @article {GMV19, AUTHOR = {Gorsky, E. and Mazin, M. and Vazirani, M.}, TITLE = {Recursions for rational {$q,t$}-{C}atalan numbers}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {173}, YEAR = {2020}, NUMBER = {1}, PAGES = {}, MRCLASS = {05E15 (05A10 14H40)}, DOI = {10.1016/j.jcta.2020.105237}, } @misc{GNR, AUTHOR = {Gorsky, E. and Negut, A. and Rasmussen, J. }, TITLE = {Flag Hilbert schemes, colored projectors and Khovanov--Rozansky homology }, YEAR = {2016}, EPRINT = {1608.07308}, EPRINTTYPE = {arxiv}, } @incollection {GS, AUTHOR = {Gukov, S. and Sto\v{s}i\'{c}, M.}, TITLE = {Homological algebra of knots and {BPS} states}, BOOKTITLE = {String-{M}ath 2011}, SERIES = {Proc. Sympos. Pure Math.}, VOLUME = {85}, PAGES = {125--171}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2012}, MRCLASS = {81T45 (57Mxx)}, MRNUMBER = {2985329}, MRREVIEWER = {Kazuhiro Hikami}, DOI = {10.1090/pspum/085/1377}, } @misc{Hog, AUTHOR = {Hogancamp, M.}, TITLE = {Khovanov--Rozansky homology and higher Catalan sequences}, YEAR = {2016}, note={Preprint.}, EPRINT = {1704.01562}, EPRINTTYPE = {arxiv}, } @misc{HogMellit, AUTHOR = {Hogancamp, M. and Mellit, A.}, TITLE = {Torus Link Homology}, YEAR = {2019}, EPRINT = {1909.00418}, EPRINTTYPE = {arxiv}, } @article {KR2, AUTHOR = {Khovanov, M. and Rozansky, L.}, TITLE = {Matrix factorizations and link homology. {II}}, JOURNAL = {Geom. Topol.}, FJOURNAL = {Geometry \& Topology}, VOLUME = {12}, YEAR = {2008}, NUMBER = {3}, PAGES = {1387--1425}, ISSN = {1465-3060}, MRCLASS = {57M27}, MRNUMBER = {2421131}, MRREVIEWER = {Stanislav Jabuka}, DOI = {10.2140/gt.2008.12.1387}, } @article {KhSoer, AUTHOR = {Khovanov, M.}, TITLE = {Triply-graded link homology and {H}ochschild homology of {S}oergel bimodules}, JOURNAL = {Internat. J. Math.}, FJOURNAL = {International Journal of Mathematics}, VOLUME = {18}, YEAR = {2007}, NUMBER = {8}, PAGES = {869--885}, ISSN = {0129-167X}, MRCLASS = {57M27 (18G60)}, MRNUMBER = {2339573}, MRREVIEWER = {Sabin Cautis}, DOI = {10.1142/S0129167X07004400}, } @misc{Mellit1, AUTHOR = {Mellit, A.}, TITLE = {Toric braids and {$(m,n)$}-parking functions}, YEAR = {2016}, EPRINT = {1604.07456}, EPRINTTYPE = {arxiv}, } @misc{Mellit2, AUTHOR = {Mellit, A.}, TITLE = {Homology of torus knots}, YEAR = {2017}, EPRINT = {1704.07630}, EPRINTTYPE = {arxiv}, }