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@article {AS,
    AUTHOR = {Assaf, Sami and Searles, Dominic},
     TITLE = {Schubert polynomials, slide polynomials, {S}tanley symmetric
              functions and quasi-{Y}amanouchi pipe dreams},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {306},
      YEAR = {2017},
     PAGES = {89--122},
      ISSN = {0001-8708},
   MRCLASS = {14M15 (05E05 14N15)},
  MRNUMBER = {3581299},
MRREVIEWER = {Li Li},
       DOI = {10.1016/j.aim.2016.10.015},
       URL = {https://doi-org.eres.library.manoa.hawaii.edu/10.1016/j.aim.2016.10.015},
}


@article {AssBerg,
    AUTHOR = {Assaf, Sami and Bergeron, Nantel},
     TITLE = {Flagged {$(\mathcal{P},\rho)$}-partitions},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {86},
      YEAR = {2020},
     PAGES = {103085, 17},
      ISSN = {0195-6698},
   MRCLASS = {05A17 (05A15)},
  MRNUMBER = {4060540},
MRREVIEWER = {David M. Bressoud},
       DOI = {10.1016/j.ejc.2020.103085},
       URL = {https://doi-org.eres.library.manoa.hawaii.edu/10.1016/j.ejc.2020.103085},
}

@article {And10,
    AUTHOR = {Anderson, D. and Tymoczko, J.},
     TITLE = {Schubert polynomials and classes of {H}essenberg varieties},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {323},
      YEAR = {2010},
    NUMBER = {10},
     PAGES = {2605--2623},
}

@article {Pos09,
    AUTHOR = {Postnikov, A.},
     TITLE = {Permutohedra, associahedra, and beyond},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {1026--1106},
}

@article {Kly85,
    AUTHOR = {Klyachko, A. A.},
     TITLE = {Orbits of a maximal torus on a flag space},
   JOURNAL = {Funktsional. Anal. i Prilozhen.},
  FJOURNAL = {Akademiya Nauk SSSR. Funktsionalny\u{\i} Analiz i ego
              Prilozheniya},
    VOLUME = {19},
      YEAR = {1985},
    NUMBER = {1},
     PAGES = {77--78},
}

@article {NTa,
    AUTHOR = {Nadeau, Philippe and Tewari, Vasu},
     TITLE = {Divided symmetrization and quasisymmetric functions},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {27},
      YEAR = {2021},
    NUMBER = {4},
     PAGES = {Paper No. 76, 24 pp},
      ISSN = {1022-1824},
   MRCLASS = {05E05 (05A05 05A10 05E16)},
  MRNUMBER = {4292786},
       DOI = {10.1007/s00029-021-00695-6},
       URL = {https://doi.org/10.1007/s00029-021-00695-6},
}


@misc{NTc,
    AUTHOR = {Nadeau, P. and Tewari, V.},
     TITLE = {A $q$-analogue of an algebra of {K}lyachko and {M}acdonald's reduced word identity},
      YEAR = {2021},
    EPRINT = {2106.03828}
}


@article {ABB04,
    AUTHOR = {Aval, J.-C. and Bergeron, F. and Bergeron, N.},
     TITLE = {Ideals of quasi-symmetric functions and super-covariant polynomials for {$S_n$}},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {181},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {353--367},
}


@article{NT20,
    AUTHOR = {Nadeau, P. and Tewari, V.},
     TITLE = {The permutahedral variety, mixed {E}ulerian numbers, and principal specializations of {S}chubert polynomials},
      YEAR = {2021, to appear},
    JOURNAL={Int. Math. Res. Not. IMRN}
}


@article {BJS,
    AUTHOR = {Billey, S.~C. and Jockusch, W. and Stanley, R.~P.},
     TITLE = {Some combinatorial properties of {S}chubert polynomials},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {2},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {345--374},
}

@article{LS82,
    AUTHOR = {Lascoux, A. and Sch\"{u}tzenberger, M.-P.},
     TITLE = {Polyn\^{o}mes de {S}chubert},
   JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. I Math.},
  FJOURNAL = {Comptes Rendus des S\'{e}ances de l'Acad\'{e}mie des Sciences. S\'{e}rie I. Math\'{e}matique},
    VOLUME = {294},
      YEAR = {1982},
    NUMBER = {13},
     PAGES = {447--450},
}

@article {Bor53,
    AUTHOR = {Borel, A.},
     TITLE = {Sur la cohomologie des espaces fibr\'{e}s principaux et des
              espaces homog\`enes de groupes de {L}ie compacts},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {57},
      YEAR = {1953},
     PAGES = {115--207},
}




@article{greenwade93,
	Author = {George D. Greenwade},
	Date-Modified = {2016-08-11 21:04:25 +0000},
	Journal = {TUGBoat},
	Number = {3},
	Pages = {342--351},
	Title = {The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})},
	Url = {https://www.google.com},
	Volume = {14},
	Year = {1993},
	Bdsk-Url-1 = {https://www.google.com}}

@article{MR4,
AUTHOR = {Corliss, J. J.},
     TITLE = {Upper limits to the real roots of a real algebraic equation},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {46},
      YEAR = {1939},
     PAGES = {334--338},
      ISSN = {0002-9890},
   MRCLASS = {09.0X},
  MRNUMBER = {0000004},
MRREVIEWER = {O. Sz\'asz},
       DOI = {10.2307/2302887}}