A counterexample to the Ross--Yong conjecture for Grothendieck polynomials
Combinatorics
2025-09-03 v2
Abstract
We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule. We then prove both rules hold in the -avoiding case.
Keywords
Cite
@article{arxiv.2403.14538,
title = {A counterexample to the Ross--Yong conjecture for Grothendieck polynomials},
author = {Colleen Robichaux},
journal= {arXiv preprint arXiv:2403.14538},
year = {2025}
}
Comments
14 pages, minor edits, to appear in European Journal of Combinatorics