Marked Bumpless Pipedreams and Compatible Pairs
Combinatorics
2024-07-26 v1
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.
Cite
@article{arxiv.2407.18160,
title = {Marked Bumpless Pipedreams and Compatible Pairs},
author = {Daoji Huang and Mark Shimozono and Tianyi Yu},
journal= {arXiv preprint arXiv:2407.18160},
year = {2024}
}
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29 pages