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Marked bumpless pipedreams and compatible pairs
Published Web Location
https://doi.org/10.5070/C6.68662Abstract
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.
Mathematics Subject Classifications: 05E05
Keywords: Bumpless pipedreams, Grothendieck polynomials