Geodesic
Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters such that the generalization still defines symmetric functions. We outline two self-contained proofs of this fact, one of which constructs a family of involutions on the set of reverse plane partitions generalizing the Bender-Knuth involutions on semistandard tableaux, whereas the other classifies the structure of reverse plane partitions with entries 1 and 2. 
@article{DMTCS_2020_special_379_a56,
     author = {Galashin, Pavel and Grinberg, Darij and Liu, Gaku},
     title = {Refined dual stable {Grothendieck} polynomials and generalized {Bender-Knuth} involutions},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6374},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6374/}
}
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%T Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
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Galashin, Pavel; Grinberg, Darij; Liu, Gaku. Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6374. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6374/

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