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math.CO2018
A Note on Specializations of Grothendieck Polynomials
Neil J. Y. Fan, Peter L. Guo
Buch and Rimányi proved a formula for specializations of double Grothendieck polynomials based on the Yang-Baxter equation related to the degenerate Hecke algebra. A geometric proo…
math.CO2018
Bumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions
Neil J. Y. Fan, Peter L. Guo, Sophie C. C. Sun
Lam, Lee and Shimozono introduced the structure of bumpless pipedreams in their study of back stable Schubert calculus. They found that a specific family of bumpless pipedreams, ca…
math.CO2018
Proof of a Conjecture of Reiner-Tenner-Yong on Barely Set-valued Tableaux
Neil J. Y. Fan, Peter L. Guo, Sophie C. C. Sun
The notion of a barely set-valued semistandard Young tableau was introduced by Reiner, Tenner and Yong in their study of the probability distribution of edges in the Young lattice…