Séminaire Lotharingien de Combinatoire, 93B.92 (2025), 12 pp.
Daoji Huang, Mark Shimozono and Tianyi Yu
A Bijection Between Marked Bumpless Pipedreams and Compatible Pairs
Abstract.
We construct a bijection between marked bumpless pipedreams with compatible pairs, which are in bijection with not-necessarily-reduced pipedreams. This directly unifies various formulas for Grothendieck polynomials in the literature. Our bijection is a generalization of a variant of the bijection of Gao and Huang in the unmarked, reduced case.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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