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arXiv · 2407.18160

Marked Bumpless Pipedreams and Compatible Pairs

Daoji Huang·Mark Shimozono·Tianyi Yu
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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.

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Daoji Huang, Mark Shimozono, Tianyi Yu. 2024-07-25. Marked Bumpless Pipedreams and Compatible Pairs. https://arxiv.org/abs/2407.18160

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