% This is an example bibliography file for FPSAC submissions.
%1
@article {abe2024geometry,
    AUTHOR = {Abe, Hiraku and Horiguchi, Tatsuya and Kuwata, Hideya and
              Zeng, Haozhi},
     TITLE = {Geometry of {P}eterson {S}chubert calculus in type {A} and
              left-right diagrams},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {7},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {383--412},
      ISSN = {2589-5486},
   MRCLASS = {14M15 (14N15)},
  MRNUMBER = {4741922},
MRREVIEWER = {Trygve\ Johnsen},
       DOI = {10.5802/alco.342},
       URL = {https://doi.org/10.5802/alco.342},
}
%2
@article {bayegan2013giambelli,
    AUTHOR = {Bayegan, Darius and Harada, Megumi},
     TITLE = {A {G}iambelli formula for the {$S^1$}-equivariant cohomology
              of type {$A$} {P}eterson varieties},
   JOURNAL = {Involve},
  FJOURNAL = {Involve. A Journal of Mathematics},
    VOLUME = {5},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {115--132},
      ISSN = {1944-4176,1944-4184},
   MRCLASS = {14N15 (55N91)},
  MRNUMBER = {3035333},
MRREVIEWER = {Letterio\ Gatto},
       DOI = {10.2140/involve.2012.5.115},
       URL = {https://doi.org/10.2140/involve.2012.5.115},
}
%3
@article {Berget2023log,
    AUTHOR = {Berget, Andrew and Spink, Hunter and Tseng, Dennis},
     TITLE = {Log-concavity of matroid {$h$}-vectors and mixed {E}ulerian
              numbers},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {172},
      YEAR = {2023},
    NUMBER = {18},
     PAGES = {3475--3520},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {52B40 (14M15 14M25)},
  MRNUMBER = {4718433},
MRREVIEWER = {Joseph\ Kung},
       DOI = {10.1215/00127094-2023-0021},
       URL = {https://doi.org/10.1215/00127094-2023-0021},
}
%4
@article {branden2020lorentzian,
    AUTHOR = {Br\"and\'en, Petter and Huh, June},
     TITLE = {Lorentzian polynomials},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {192},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {821--891},
      ISSN = {0003-486X,1939-8980},
   MRCLASS = {52B40 (05A20 14T15)},
  MRNUMBER = {4172622},
MRREVIEWER = {Trygve\ Johnsen},
       DOI = {10.4007/annals.2020.192.3.4},
       URL = {https://doi.org/10.4007/annals.2020.192.3.4},
}
%5
@article {de1992hessenberg,
    AUTHOR = {De Mari, F. and Procesi, C. and Shayman, M. A.},
     TITLE = {Hessenberg varieties},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {332},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {529--534},
      ISSN = {0002-9947,1088-6850},
   MRCLASS = {14L30 (14M17)},
  MRNUMBER = {1043857},
MRREVIEWER = {Michel\ Brion},
       DOI = {10.2307/2154181},
       URL = {https://doi.org/10.2307/2154181},
}
%6
@article {drellich2015monk,
    AUTHOR = {Drellich, Elizabeth},
     TITLE = {Monk's rule and {G}iambelli's formula for {P}eterson varieties
              of all {L}ie types},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {41},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {539--575},
      ISSN = {0925-9899,1572-9192},
   MRCLASS = {14L35 (14F43)},
  MRNUMBER = {3306081},
MRREVIEWER = {Anthony\ Henderson},
       DOI = {10.1007/s10801-014-0545-2},
       URL = {https://doi.org/10.1007/s10801-014-0545-2},
}
%7
@article {goldin2022positive,
    AUTHOR = {Goldin, Rebecca and Gorbutt, Brent},
     TITLE = {A positive formula for type {A} {P}eterson {S}chubert
              calculus},
   JOURNAL = {Matematica},
  FJOURNAL = {La Matematica. Official Journal of the Association for Women
              in Mathematics},
    VOLUME = {1},
      YEAR = {2022},
    NUMBER = {3},
     PAGES = {618--665},
      ISSN = {2730-9657},
   MRCLASS = {14M15 (14M27)},
  MRNUMBER = {4482736},
MRREVIEWER = {Subramaniam\ Senthamarai\ Kannan},
       DOI = {10.1007/s44007-022-00023-0},
       URL = {https://doi.org/10.1007/s44007-022-00023-0},
}
%8
@article {Goldin2024positivity,
    AUTHOR = {Goldin, Rebecca and Mihalcea, Leonardo and Singh, Rahul},
     TITLE = {Positivity of {P}eterson {S}chubert calculus},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {455},
      YEAR = {2024},
     PAGES = {Paper No. 109879, 34},
      ISSN = {0001-8708,1090-2082},
   MRCLASS = {14M15 (14F43 14N15)},
  MRNUMBER = {4788605},
MRREVIEWER = {Felipe\ Zald\'ivar},
       DOI = {10.1016/j.aim.2024.109879},
       URL = {https://doi.org/10.1016/j.aim.2024.109879},
}
%9
@article{goldin2021equivariant,
 author = {Goldin, Rebecca and Singh, Rahul},
 title = {Equivariant {Chevalley}, {Giambelli}, and {Monk} formulas for the {Peterson} variety},
 fjournal = {Nagoya Mathematical Journal},
 journal = {Nagoya Math. J.},
 issn = {0027-7630},
 volume = {261},
 pages = {24},
 note = {Id/No e25},
 year = {2026},
 language = {English},
 doi = {10.1017/nmj.2026.10098},
 keywords = {14N10,05E14},
 zbMATH = {8186595}
}
%10
@article {harada2015equivariant,
    AUTHOR = {Harada, Megumi and Horiguchi, Tatsuya and Masuda, Mikiya},
     TITLE = {The equivariant cohomology rings of {P}eterson varieties in
              all {L}ie types},
   JOURNAL = {Canad. Math. Bull.},
  FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
              Math\'ematiques},
    VOLUME = {58},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {80--90},
      ISSN = {0008-4395,1496-4287},
   MRCLASS = {14F43 (14N15 55N91)},
  MRNUMBER = {3303210},
MRREVIEWER = {Changzheng\ Li},
       DOI = {10.4153/CMB-2014-048-0},
       URL = {https://doi.org/10.4153/CMB-2014-048-0},
}
%11
@article {Harada2011positive,
    AUTHOR = {Harada, Megumi and Tymoczko, Julianna},
     TITLE = {A positive {M}onk formula in the {$S^1$}-equivariant
              cohomology of type {$A$} {P}eterson varieties},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {103},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {40--72},
      ISSN = {0024-6115,1460-244X},
   MRCLASS = {14N15 (14F43 55N91)},
  MRNUMBER = {2812501},
MRREVIEWER = {Li\ Li},
       DOI = {10.1112/plms/pdq038},
       URL = {https://doi.org/10.1112/plms/pdq038},
}
%12
@article {Horiguchi2024mixed,
    AUTHOR = {Horiguchi, Tatsuya},
     TITLE = {Mixed {E}ulerian numbers and {P}eterson {S}chubert calculus},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {1422--1471},
      ISSN = {1073-7928,1687-0247},
   MRCLASS = {14M15 (05E16 17B22)},
  MRNUMBER = {4692376},
MRREVIEWER = {Subramaniam\ Senthamarai\ Kannan},
       DOI = {10.1093/imrn/rnad030},
       URL = {https://doi.org/10.1093/imrn/rnad030},
}
%13
@article {lam2010quantum,
    AUTHOR = {Lam, Thomas and Shimozono, Mark},
     TITLE = {Quantum cohomology of {$G/P$} and homology of affine
              {G}rassmannian},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {204},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {49--90},
      ISSN = {0001-5962,1871-2509},
   MRCLASS = {14N35 (14M15)},
  MRNUMBER = {2600433},
MRREVIEWER = {Harry\ Tamvakis},
       DOI = {10.1007/s11511-010-0045-8},
       URL = {https://doi.org/10.1007/s11511-010-0045-8},
}
%14
@article {Nadeau2023permutahedral,
    AUTHOR = {Nadeau, Philippe and Tewari, Vasu},
     TITLE = {The permutahedral variety, mixed {E}ulerian numbers, and
              principal specializations of {S}chubert polynomials},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2023},
    NUMBER = {5},
     PAGES = {3615--3670},
      ISSN = {1073-7928,1687-0247},
   MRCLASS = {14N15 (14M15)},
  MRNUMBER = {4565650},
MRREVIEWER = {Laura\ Colmenarejo},
       DOI = {10.1093/imrn/rnab337},
       URL = {https://doi.org/10.1093/imrn/rnab337},
}
%15
@article {postnikov2009permutohedra,
    AUTHOR = {Postnikov, Alexander},
     TITLE = {Permutohedra, associahedra, and beyond},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {1026--1106},
      ISSN = {1073-7928,1687-0247},
   MRCLASS = {05E30},
  MRNUMBER = {2487491},
       DOI = {10.1093/imrn/rnn153},
       URL = {https://doi.org/10.1093/imrn/rnn153},
}
%16
@article {rietsch2003totally,
    AUTHOR = {Rietsch, Konstanze},
     TITLE = {Totally positive {T}oeplitz matrices and quantum cohomology of
              partial flag varieties},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {16},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {363--392},
      ISSN = {0894-0347,1088-6834},
   MRCLASS = {14N35 (14N15 15A48)},
  MRNUMBER = {1949164},
MRREVIEWER = {Frank\ Sottile},
       DOI = {10.1090/S0894-0347-02-00412-5},
       URL = {https://doi.org/10.1090/S0894-0347-02-00412-5},
}
%17
@article {sherman1950adjustment,
    AUTHOR = {Sherman, Jack and Morrison, Winifred J.},
     TITLE = {Adjustment of an inverse matrix corresponding to a change in
              one element of a given matrix},
   JOURNAL = {Ann. Math. Statistics},
  FJOURNAL = {Annals of Mathematical Statistics},
    VOLUME = {21},
      YEAR = {1950},
     PAGES = {124--127},
      ISSN = {0003-4851},
   MRCLASS = {65.0X},
  MRNUMBER = {35118},
MRREVIEWER = {Samuel\ Levy},
       DOI = {10.1214/aoms/1177729893},
       URL = {https://doi.org/10.1214/aoms/1177729893},
}