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@String{JCTSA = {J. Combin. Theory Ser. A}}

@Book{Bre99,
  author    = {Bressoud, D.},
  title     = {Proofs and confirmations. The story of the alternating sign matrix conjecture},
  pages     = {xvi+274},
  publisher = {Mathematical Association of America and Cambridge University Press},
  series    = {MAA Spectrum},
  address   = {Washington, DC and Cambridge},
  mrnumber  = {1718370 (2000i:15002)},
  year      = {1999},
}

@MISC{Kra96,
AUTHOR = {Krattenthaler, C.},
TITLE = {A gog-magog conjecture},
YEAR = {1996},
URL = {http://www.mat.univie.ac.at/~kratt/artikel/magog.html},
}

@article{AyyBehFis16,
AUTHOR = {Ayyer, A. and Behrend, R. and Fischer, I.},
TITLE = {Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order},
YEAR = {2020},
journal={Adv. Math.},
volume={367},
doi={10.1016/j.aim.2020.107125}
}


@Article{FonZin08,
  author   = {Fonseca, T. and Zinn-Justin, P.},
  title    = {On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions},
  pages    = {Research Paper 81, 35 pp.\ (electronic)},
  volume   = {15},
  arxiv    = {0803.1595},
  fjournal = {Electronic Journal of Combinatorics},
  journal  = {Electron. J. Combin.},
  doi={10.37236/805},
  mrnumber = {2411458 (2010c:05011)},
  year     = {2008},
}

@InCollection{krattsurvey,
  author    = {Krattenthaler, C.},
  booktitle = {The mathematical legacy of Richard P. Stanley},
  title     = {Plane partitions in the work of Richard Stanley and his school},
  pages     = {231--261},
  publisher = {Amer. Math. Soc., Providence, RI},
  mrclass   = {05A17 (05A15 05A30 05E05 05E10 11P81)},
  doi={10.1090//mbk/100/14},
  mrnumber  = {3618037},
  year      = {2016},
}

@misc{PartI,
  author = {Fischer, I. and Konvalinka, M.},
  title  = {A bijective proof of the ASM theorem, Part I: the operator formula},
  eprint={1910.04198},
  eprinttype={Arxiv}
  }

@Article{BehFisKon17,
  author   = {Behrend, R. and Fischer, I. and Konvalinka, M.},
  title    = {Diagonally and antidiagonally symmetric alternating sign matrices of odd order},
  doi      = {10.1016/j.aim.2017.05.014},
  pages    = {324--365},
  volume   = {315},
  arxiv    = {1512.06030},
  fjournal = {Advances in Mathematics},
  journal  = {Adv. Math.},
  mrnumber = {3667588},
  year     = {2017},
}

@Article{bianecheballah,
  author     = {Biane, P. and Cheballah, H.},
  title      = {Gog and {GOGA}m pentagons},
  doi        = {10.1016/j.jcta.2015.10.001},
  issn       = {0097-3165},
  pages      = {133--154},
  volume     = {138},
  fjournal   = {Journal of Combinatorial Theory. Series A},
  journal    = {J. Combin. Theory Ser. A},
  mrclass    = {05B20 (05A17)},
  mrnumber   = {3423474},
  mrreviewer = {Song Guo},
  year       = {2016},
}

@Article{lambda,
  author     = {Robbins, D. and Rumsey, H.},
  title      = {Determinants and alternating sign matrices},
  doi        = {10.1016/0001-8708(86)90099-X},
  issn       = {0001-8708},
  number     = {2},
  pages      = {169--184},
  volume     = {62},
  fjournal   = {Advances in Mathematics},
  journal    = {Adv. in Math.},
  mrclass    = {15A15 (05A15 11P65)},
  mrnumber   = {865837},
  mrreviewer = {George E. Andrews},
  year       = {1986},
}

@Article{BrePro99,
  author   = {Bressoud, D. and Propp, J.},
  title    = {How the alternating sign matrix conjecture was solved},
  number   = {6},
  pages    = {637--646},
  volume   = {46},
  fjournal = {Notices of the American Mathematical Society},
  journal  = {Notices Amer. Math. Soc.},
  mrnumber = {1691562 (2000k:15002)},
  year     = {1999},
}

@Article{Kup96,
  author   = {Kuperberg, G.},
  title    = {Another proof of the alternating-sign matrix conjecture},
  doi      = {10.1155/S1073792896000128},
  number   = {3},
  pages    = {139--150},
  arxiv    = {math/9712207},
  fjournal = {International Mathematics Research Notices},
  journal  = {Internat. Math. Res. Notices},
  mrnumber = {1383754 (97c:05009)},
  year     = {1996},
}

@Article{And94,
  author   = {Andrews, G.},
  title    = {Plane partitions. {V}. {T}he {TSSCPP} conjecture},
  doi      = {10.1016/0097-3165(94)90048-5},
  number   = {1},
  pages    = {28--39},
  volume   = {66},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = {J. Combin. Theory Ser. A},
  mrnumber = {1273289 (95g:05010)},
  year     = {1994},
}

@Article{And79,
  author   = {Andrews, G.},
  title    = {Plane partitions. {III}. {T}he weak {M}acdonald conjecture},
  doi      = {10.1007/BF01389763},
  number   = {3},
  pages    = {193--225},
  volume   = {53},
  fjournal = {Inventiones Mathematicae},
  journal  = {Invent. Math.},
  mrnumber = {549398 (80j:05009)},
  year     = {1979},
}

@Article{Fis16,
  author   = {Fischer, I.},
  title    = {Short proof of the {ASM} theorem avoiding the six-vertex model},
  pages    = {139--156},
  volume   = {144},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = JCTSA,
  year     = {2016},
}

@Article{MilRobRum83,
  author   = {Mills, W. and Robbins, D. and Rumsey, Jr., H.},
  title    = {Alternating sign matrices and descending plane partitions},
  doi      = {10.1016/0097-3165(83)90068-7},
  number   = {3},
  pages    = {340--359},
  volume   = {34},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = JCTSA,
  mrnumber = {700040 (85b:05013)},
  year     = {1983},
}

@Article{MilRobRum86,
  author   = {Mills, W. and Robbins, D. and Rumsey, Jr., H.},
  title    = {Self-complementary totally symmetric plane partitions},
  doi      = {10.1016/0097-3165(86)90098-1},
  number   = {2},
  pages    = {277--292},
  volume   = {42},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = JCTSA,
  mrnumber = {847558 (88b:05008)},
  year     = {1986},
}

@misc{PartII,
  author = {Fischer, I. and Konvalinka, M.},
  title  = {A bijective proof of the {ASM} theorem, Part {II}: {ASM} enumeration and {ASM}-{DPP} relation},
year={2019},
  eprint={1912.01354},
  eprinttype={arxiv}
}

@Article{BehDifZin13,
  author   = {Behrend, R. and Di Francesco, P. and Zinn-Justin, P.},
  title    = {A doubly-refined enumeration of alternating sign matrices and descending plane partitions},
  doi      = {10.1016/j.jcta.2012.09.004},
  number   = {2},
  pages    = {409--432},
  volume   = {120},
  arxiv    = {1202.1520},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = {J. Combin. Theory Ser. A},
  mrnumber = {2995049},
  year     = {2013},
}

@misc{Bauer,
  author = {Bauer, A.},
  title  = {What is an explicit bijection?},
  note   = {FPSAC 2019 invited lecture, available at \href{http://videolectures.net/FPSAC2019_bauer_explicit_bijection/}{Link.}}
}
@Article{Zei96a,
  author   = {Zeilberger, D.},
  title    = {Proof of the alternating sign matrix conjecture},
  note     = {The Foata Festschrift},
  number   = {2},
  pages    = {Research Paper 13, 84 pp.\ (electronic)},
  url      = {http://www.combinatorics.org/Volume_3/Abstracts/v3i2r13.html},
  volume   = {3},
  arxiv    = {math/9407211},
  fjournal = {Electronic Journal of Combinatorics},
  journal  = {Electron. J. Combin.},
  mrnumber = {1392498 (97d:05012)},
  year     = {1996},
}

@Article{Zei96b,
  author   = {Zeilberger, D.},
  title    = {Proof of the refined alternating sign matrix conjecture},
  pages    = {59--68 (electronic)},
  url      = {http://nyjm.albany.edu:8000/j/1996/2_59.html},
  volume   = {2},
  arxiv    = {math/9606224},
  fjournal = {New York Journal of Mathematics},
  journal  = {New York J. Math.},
  mrnumber = {1383799 (97c:05010)},
  year     = {1996},
}

@Article{Fis07,
  author   = {Fischer, I.},
  title    = {A new proof of the refined alternating sign matrix theorem},
  doi      = {10.1016/j.jcta.2006.04.004},
  number   = {2},
  pages    = {253--264},
  volume   = {114},
  arxiv    = {math/0507270},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = JCTSA,
  mrnumber = {2293090 (2007k:05012)},
  year     = {2007},
}

@Article{Fis06,
  author   = {Fischer, I.},
  title    = {The number of monotone triangles with prescribed bottom row},
  doi      = {10.1016/j.aam.2005.03.009},
  number   = {2},
  pages    = {249--267},
  volume   = {37},
  arxiv    = {math/0501102},
  journal  = {Adv. in Appl. Math.},
  mrnumber = {2251438 (2007i:05010)},
  year     = {2006},
}

@misc{Voevodsky,
  author = {Voevodsky, V.},
  title  = {C-systems defined by universe categories: presheaves},
  note={Preprint.},
  eprint={1706.03620},
  year={2017}
}

@Article{Fis05,
  author   = {Fischer, I.},
  title    = {A method for proving polynomial enumeration formulas},
  pages    = {37--58},
  volume   = {111},
  fjournal = {Journal of Combinatorial Theory. Series A},
  journal  = JCTSA,
  year     = {2005},
  
}