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math.CO2024
Tableau formula for vexillary double Edelman--Greene coefficients
Adam Gregory, Zachary Hamaker, Tianyi Yu
Lam, Lee and Shimozono recently introduced backstable double Grothendieck polynomials to represent -theory classes of the infinite flag variety. They used them to define double…
math.CO2024
Marked Bumpless Pipedreams and Compatible Pairs
Daoji Huang, Mark Shimozono, Tianyi Yu
We construct a bijection between marked bumpless pipedreams with reverse compatible pairs, which are in bijection with not-necessarily-reduced pipedreams. This directly unifies var…
math.CO2024
Embedding bumpless pipedreams as Bruhat chains
Tianyi Yu
Schubert polynomials are distinguished representatives of Schubert cycles in the cohomology of the flag variety. In the spirit of Bergeron and Sottile, we use the Bruhat order to g…