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arXiv · 2607.03116

A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials

Peter L. Guo·Mingyang Kang·Jiaji Liu
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Abstract

We prove a multivariate Lam--Postnikov--Pylyavskyy type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polynomials established by Chan--Chen--Pak--Soskin. We also conjecture extensions of the Lam--Postnikov--Pylyavskyy inequality and a conjecture by Thomas--Yong to the (equivariant) Schubert and Grothendieck polynomial setting.

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Peter L. Guo, Mingyang Kang, Jiaji Liu. 2026-07-03. A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials. https://arxiv.org/abs/2607.03116

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