@Article{Shareshian-Wachs,
 Author = {Shareshian, John and Wachs, Michelle L.},
 Title = {Chromatic quasisymmetric functions},
 FJournal = {Advances in Mathematics},
 Journal = {Adv. Math.},
 Volume = {295},
 Pages = {497--551},
 Year = {2016},
 Language = {English},
 DOI = {10.1016/j.aim.2015.12.018},
 Keywords = {05E05,11B68},
 zbMATH = {6570863},
 Zbl = {1334.05177}
}

@article {Alex-Panova,
    AUTHOR = {Alexandersson, Per and Panova, Greta},
     TITLE = {L{LT} polynomials, chromatic quasisymmetric functions and
              graphs with cycles},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {341},
      YEAR = {2018},
    NUMBER = {12},
     PAGES = {3453--3482},
   MRCLASS = {05E05 (05A15)},
  MRNUMBER = {3862644},
MRREVIEWER = {Zhicong\ Lin},
       DOI = {10.1016/j.disc.2018.09.001},
       URL = {https://doi.org/10.1016/j.disc.2018.09.001},
}

@Article{Brosnan-Chow,
 Author = {Brosnan, Patrick and Chow, Timothy Y.},
 Title = {Unit interval orders and the dot action on the cohomology of regular semisimple {Hessenberg} varieties},
 FJournal = {Advances in Mathematics},
 Journal = {Adv. Math.},
 Volume = {329},
 Pages = {955--1001},
 Year = {2018},
 Language = {English},
 DOI = {10.1016/j.aim.2018.02.020},
 Keywords = {05E05,05E10,05A05,05A17,14M99},
 zbMATH = {6863462},
 Zbl = {1410.05222}
}

@article {Haglund-Wilson,
    AUTHOR = {Haglund, James and Wilson, Andrew Timothy},
     TITLE = {Macdonald polynomials and chromatic quasisymmetric functions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {27},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {Paper No. 3.37, 21},
   MRCLASS = {05E05},
}

@misc{Hikita,
      title={A proof of the {S}tanley--{S}tembridge conjecture}, 
      author={Tatsuyuki Hikita},
      year={2024},
      eprint={2410.12758},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://doi.org/10.48550/arXiv.2410.12758}
}

@article {HHL,
    AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N.},
     TITLE = {A combinatorial formula for {M}acdonald polynomials},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {18},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {735--761},
   MRCLASS = {05E05},
  MRNUMBER = {2138143},
MRREVIEWER = {Frank\ Sottile},
       DOI = {10.1090/S0894-0347-05-00485-6},
       URL = {https://doi.org/10.1090/S0894-0347-05-00485-6},
}

@Article{Stanley-Stembridge,
 Author = {Stanley, Richard P. and Stembridge, John R.},
 Title = {On immanants of {Jacobi}-{Trudi} matrices and permutations with restricted position},
 FJournal = {Journal of Combinatorial Theory. Series A},
 Journal = {J. Comb. Theory, Ser. A},
 Volume = {62},
 Number = {2},
 Pages = {261--279},
 Year = {1993},
 Language = {English},
 DOI = {10.1016/0097-3165(93)90048-D},
 Keywords = {05E05,05E10,05B20,05A05,05A17,06A07},
 zbMATH = {221988},
 Zbl = {0772.05097}
}

@Article{Stanley-Chromatic,
 Author = {Stanley, Richard P.},
 Title = {A symmetric function generalization of the chromatic polynomial of a graph},
 FJournal = {Advances in Mathematics},
 Journal = {Adv. Math.},
 Volume = {111},
 Number = {1},
 Pages = {166--194},
 Year = {1995},
 Language = {English},
 DOI = {10.1006/aima.1995.1020},
 Keywords = {05C15,05E05},
 zbMATH = {755384},
 Zbl = {0831.05027}
}

@Misc{Guay-Paquet,
 Author = {Guay-Paquet, Mathieu},
 Title = {A modular relation for the chromatic symmetric functions of (3+1)-free posets},
 Year = {2013},
 Keywords = {06A07,05E05},
 eprint={1306.2400},
 archivePrefix={arXiv},
 primaryClass={math.CO},
 url={https://doi.org/10.48550/arXiv.1306.2400}
}

@Book{Macdonald-book,
 Author = {Macdonald, I. G.},
 Title = {Symmetric functions and {Hall} polynomials.},
 Edition = {2nd ed.},
 Year = {1998},
 Publisher = {Oxford: Clarendon Press},
 Language = {English},
 Keywords = {05E05,05-02,05E10,05E35,20-02,05A17,20C25,20C30,05A15},
 zbMATH = {1181673},
 Zbl = {0899.05068}
}

@article{Carlsson-Mellit,
Title = {A proof of the shuffle conjecture},
Keywords = {CHARACTER, COMBINATORIAL FORMULA, ELLIPTIC HALL ALGEBRA, HILBERT SCHEME, POINTS},
Author = {Carlsson, Erik and Mellit, Anton},
Year = {2018},
DOI = {10.1090/jams/893},
Language = {English},
Volume = {31},
Pages = {661--697},
FJournal = {Journal of the American Mathematical Society},
Journal = {J. Amer. Math.},
Number = {3},
}

@Article{Carlsson-Gorsky-Mellit,
 Author = {Carlsson, Erik and Gorsky, Eugene and Mellit, Anton},
 Title = {The $\mathbb{A}_{q,t}$ algebra and parabolic flag {H}ilbert schemes},
 FJournal = {Mathematische Annalen},
 Journal = {Math. Ann.},
 Volume = {376},
 Number = {3},
 Pages = {1303--1336},
 Year = {2020},
 Language = {English},
 DOI = {10.1007/s00208-019-01898-1}
}


@misc{Hikita-qt,
      title={$(q,t)$-chromatic symmetric functions}, 
      author={Tatsuyuki Hikita},
      year={2025},
      eprint={2503.23597},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2503.23597}, 
}

@Article{Haiman,
 Author = {Haiman, Mark},
 Title = {Hecke algebra characters and immanant conjectures},
 FJournal = {Journal of the American Mathematical Society},
 Journal = {J. Am. Math. Soc.},
 Volume = {6},
 Number = {3},
 Pages = {569--595},
 Year = {1993},
 Language = {English},
 DOI = {10.2307/2152777},
 Keywords = {20G05,20G40,05E05,05E15,20C20,14M15,20H20},
 zbMATH = {279838},
 Zbl = {0817.20048}
}

@article{Gasharov,
 author = {Gasharov, Vesselin},
 title = {Incomparability graphs of {{\((3+1)\)}}-free posets are {{\(s\)}}-positive},
 fjournal = {Discrete Mathematics},
 journal = {Discrete Math.},
 volume = {157},
 number = {1-3},
 pages = {193--197},
 year = {1996},
 language = {English},
 doi = {10.1016/S0012-365X(96)83014-7},
 keywords = {05C15,05E05,05E10,06A07},
 zbMATH = {935379},
 Zbl = {0856.05042}
}

@Article{GHT,
 Author = {Garsia, Adriano and Haiman, Mark and Tesler, Glenn},
 Title = {Explicit plethystic formulas for {Macdonald} {{\((q,t)\)}}-{Kostka} coefficients},
 FJournal = {S{\'e}minaire Lotharingien de Combinatoire},
 Journal = {S{\'e}min. Lothar. Comb.},
 Volume = {42},
 Pages = {b42m, 45},
 Year = {1999},
 Language = {English},
 Keywords = {05E05,05A30,33C80},
 URL = {https://eudml.org/doc/119896},
 zbMATH = {1301070},
 Zbl = {0920.05071}
}

@incollection {GHXZ,
    AUTHOR = {Garsia, Adriano and Haglund, Jim and Xin, Guoce and Zabrocki,
              Mike},
     TITLE = {Some new applications of the {S}tanley-{M}acdonald {P}ieri
              rules},
 BOOKTITLE = {The mathematical legacy of {R}ichard {P}. {S}tanley},
     PAGES = {141--168},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2016},
   MRCLASS = {05E05},
  MRNUMBER = {3617221},
MRREVIEWER = {Domenico\ Senato},
       DOI = {10.1090//mbk/100/09},
       URL = {https://doi.org/10.1090//mbk/100/09},
}

@Article{HHLRU,
 Author = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J. B. and Ulyanov, A.},
 Title = {A combinatorial formula for the character of the diagonal coinvariants},
 FJournal = {Duke Mathematical Journal},
 Journal = {Duke Math. J.},
 Volume = {126},
 Number = {2},
 Pages = {195--232},
 Year = {2005},
 Language = {English},
 DOI = {10.1215/S0012-7094-04-12621-1},
 Keywords = {05E10,05A30,20C30},
 zbMATH = {2151090},
 Zbl = {1069.05077}
}

@Article{Haglund-Morse-Zabrocki,
 Author = {Haglund, J. and Morse, J. and Zabrocki, M.},
 Title = {A compositional shuffle conjecture specifying touch points of the {Dyck} path},
 FJournal = {Canadian Journal of Mathematics},
 Journal = {Can. J. Math.},
 Volume = {64},
 Number = {4},
 Pages = {822--844},
 Year = {2012},
 Language = {English},
 DOI = {10.4153/CJM-2011-078-4},
 Keywords = {05E05,05E10,20C30,33D52},
 URL = {cms.math.ca/10.4153/CJM-2011-078-4},
 zbMATH = {6064255},
 Zbl = {1246.05163}
}

@article {Aggarwal-Borodin-Wheeler,
    AUTHOR = {Aggarwal, Amol and Borodin, Alexei and Wheeler, Michael},
     TITLE = {Colored fermionic vertex models and symmetric functions},
   JOURNAL = {Commun. Am. Math. Soc.},
  FJOURNAL = {Communications of the American Mathematical Society},
    VOLUME = {3},
      YEAR = {2023},
     PAGES = {400--630},
   MRCLASS = {05E05 (17B37)},
  MRNUMBER = {4628347},
MRREVIEWER = {Eric\ S.\ Egge},
       DOI = {10.1090/cams/24},
       URL = {https://doi.org/10.1090/cams/24},
}

@misc{Aqt-chromatic,
      title={On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture}, 
      author={Sean T. Griffin and Anton Mellit and Marino Romero and Kevin Weigl and Joshua Jeishing Wen},
      year={2025},
      eprint={2504.06936},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2504.06936}, 
}