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@article{Las,
  title={Schubert and Grothendieck: a bidecennial balance.(Schubert et Grothendieck: un bilan bid{\'e}cennal.)},
  author={Lascoux, Alain},
  fjournal={S{\'e}minaire Lotharingien de Combinatoire [electronic only]},
  journal = {S{\'e}m. Lothar. Combin.},
  volume={50},
  pages={B50i--32},
  year={2003},
  publisher={Universit{\"a}t Wien, Fakult{\"a}t f{\"u}r Mathematik}
}

@article{LS:Groth,
  title={Structure de Hopf de l’anneau de cohomologie et de l’anneau de Grothendieck d’une vari{\'e}t{\'e} de drapeaux},
  author={Lascoux, Alain and Sch{\"u}tzenberger, Marcel-Paul},
  journal={CR Acad. Sci. Paris S{\'e}r. I Math},
  volume={295},
  number={11},
  pages={629--633},
  year={1982}
}

@misc{ReY,
  title={The `Grothendieck to Lascoux' conjecture},
  author={Reiner, Victor and Yong, Alexander},
  eprint = {2102.12399},
  eprinttype = {arXiv},
  year={2021}
}

@article{BSW,
  title={Colored five-vertex models and Lascoux polynomials and atoms},
  author={Buciumas, Valentin and Scrimshaw, Travis and Weber, Katherine},
  fjournal={Journal of the London Mathematical Society},
  journal = {J. London Math. Soc.},
  volume={102},
  number={3},
  pages={1047--1066},
  year={2020},
  publisher={Wiley Online Library}
}

@article{EG,
  title={Balanced tableaux},
  author={Edelman, Paul and Greene, Curtis},
  fjournal={Advances in Mathematics},
  journal = {Adv. Math.},
  volume={63},
  number={1},
  pages={42--99},
  year={1987},
  publisher={Elsevier}
}

@article{RS,
  title={Key polynomials and a flagged Littlewood—Richardson rule},
  author={Reiner, Victor and Shimozono, Mark},
  fjournal={Journal of Combinatorial Theory, Series A},
  journal = {J. Combin. Theory Ser. A},
  volume={70},
  number={1},
  pages={107--143},
  year={1995},
  publisher={Elsevier}
}

@article{BKSTY,
  title={Stable Grothendieck polynomials and K-theoretic factor sequences},
  author={Buch, Anders Skovsted and Kresch, Andrew and Shimozono, Mark and Tamvakis, Harry and Yong, Alexander},
  fjournal={Mathematische Annalen},
  journal = {Math. Ann.},
  volume={340},
  number={2},
  pages={359--382},
  year={2008},
  publisher={Springer}
}

@article{LLS,
  title={Back stable {S}chubert calculus},
  author={Lam, Thomas and Lee, Seung Jin and Shimozono, Mark},
  fjournal={Compositio Mathematica},
  journal = {Compos. Math.},
  volume={157},
  number={5},
  pages={883--962},
  year={2021},
  publisher={London Mathematical Society}
}
@article{Pet,
  title={Quantum cohomology of G/P},
  author={Peterson, Dale},
  journal={Lecture notes at MIT},
  year={1997}
}

@article{LS:QHGr,
  title={Quantum cohomology of {$G/P$} and homology of affine {G}rassmannian},
  author={Lam, Thomas and Shimozono, Mark},
  fjournal={Acta mathematica},
  journal = {Acta Math.},
  volume={204},
  number={1},
  pages={49--90},
  year={2010},
  publisher={Institut Mittag-Leffler}
}

@book{LLMSSZ,
  title={{$k$}-Schur Functions and Affine Schubert Calculus},
  author={Lam, Thomas and Lapointe, Luc and Morse, Jennifer and Schilling, Anne and Shimozono, Mark and Zabrocki, Mike},
  volume={33},
  year={2014},
  publisher={Springer}
}

@article{KMS,
  title={Four positive formulae for type A quiver polynomials},
  author={Knutson, Allen and Miller, Ezra and Shimozono, Mark},
  fjournal={Inventiones mathematicae},
  journal = {Invent. Math,},
  volume={166},
  number={2},
  pages={229--325},
  year={2006},
  publisher={Springer}
}

@article{BF,
  title={Chern class formulas for quiver varieties},
  author={Fulton, William and Buch, Anders Skovsted},
  year={1999},
  publisher={Springer-Verlag; Springer-Verlag Berlin Heidelberg}
}

@article{B,
  title={A {L}ittlewood--{R}ichardson rule for the K-theory of Grassmannians},
  author={Buch, Anders Skovsted},
  fjournal={Acta mathematica},
  journal = {Acta Math.},
  volume={189},
  number={1},
  pages={37--78},
  year={2002},
  publisher={Springer}
}

@article{Mi,
  title={Alternating formulas for K-theoretic quiver polynomials},
  author={Miller, Ezra},
  fjournal={Duke Mathematical Journal},
  journal = {Duke Math. J.},
  volume={128},
  number={1},
  pages={1--17},
  year={2005},
  publisher={Duke University Press}
}



@article{RoY,
  title={Combinatorial rules for three bases of polynomials},
  author={Ross, Colleen and Yong, Alexander},
  fjournal={Seminaire Lotharingien de Combinatoire},
  journal = {S{\'e}m. Lothar. Combin.},
  year={2015}
}

@article{Kir,
  title={Notes on Schubert, Grothendieck and key polynomials},
  author={Kirillov, Anatol N and others},
  fjournal={SIGMA. Symmetry, Integrability and Geometry: Methods and Applications},
  journal={SIGMA. Symmetry, Integrability Geom. Methods Appl.},
  volume={12},
  pages={034},
  year={2016},
  publisher={SIGMA. Symmetry, Integrability and Geometry: Methods and Applications}
}

@misc{Mon,
  title={Set-valued skyline fillings},
  author={Monical, Cara},
  eprint = {1611.08777},
  eprinttype = {arXiv},
  year={2016}
}

@misc{PS,
  title={K-theoretic crystals for set-valued tableaux of rectangular shapes},
  author={Pechenik, Oliver and Scrimshaw, Travis},
  eprint = {1904.09674},
  eprinttype = {arXiv},
  year={2019}
}

@inproceedings{FK,
  title={Grothendieck polynomials and the {Y}ang--{B}axter equation},
  author={Fomin, Sergey and Kirillov, Anatol N},
  booktitle={Proc. Formal Power Series and Alg. Comb},
  pages={183--190},
  year={1994}
}

@article{BJS,
  title={Some combinatorial properties of {S}chubert polynomials},
  author={Billey, Sara C and Jockusch, William and Stanley, Richard P},
  fjournal={Journal of Algebraic Combinatorics},
  journal = {J. Algebraic Combin.},
  volume={2},
  number={4},
  pages={345--374},
  year={1993},
  publisher={Springer}
}

@article{Mat,
  title={Flagged {G}rothendieck polynomials},
  author={Matsumura, Tomoo},
  fjournal={Journal of Algebraic Combinatorics},
  journal = {J. Algebraic Combin.},
  volume={49},
  number={3},
  pages={209--228},
  year={2019},
  publisher={Springer}
}

@article{KMY2,
  title={Gr{\"o}bner geometry of vertex decompositions and of flagged tableaux},
  author={Knutson, Allen and Miller, Ezra and Yong, Alexander},
  fjournal={Journal fur die reine und angewandte Mathematik},
  journal = {J. Reine Angew. Math.},
  pages={1--31},
  year={2009},
  publisher={Walter de Gruyter GmbH \& Co. KG}
}

@misc{LLS:back,
  title={Back stable {K}-theory {S}chubert calculus},
  author={Lam, Thomas and Lee, Seung Jin and Shimozono, Mark},
  eprint = {2108.10202},
  eprinttype = {arXiv},
  year={2021}
}

@article{TY,
  title={A jeu de taquin theory for increasing tableaux, with applications to {K}-theoretic {S}chubert calculus},
  author={Thomas, Hugh and Yong, Alexander},
  journal={Algebra Number Theory},
  volume={3},
  number={2},
  pages={121--148},
  year={2009},
  publisher={Mathematical Sciences Publishers}
}