Marked Bumpless Pipedreams and Compatible Pairs

2024/07/25 by Huang, Daoji, Shimozono, Mark, Yu, Tianyi · 2 citations
#05A19 05E05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.18160

Abstract

We construct a bijection between marked bumpless pipedreams with reverse 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.

Cited by

• The Grothendieck Group of the Variety of Spanning Line Configurations
• A positive combinatorial formula for the double Edelman--Greene coefficients

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