Year: 2026
Type: preprint
Abstract: We prove that every nonconstant Kazhdan--Lusztig polynomial of a sparse paving matroid has only simple negative zeros. For each rank $d\ge5$, the Kazhdan--Lusztig polynomial of the uniform matroid of rank $d-2$ on $d$ elements strictly interlaces those of all sparse paving matroids of rank $d$ and corank at least two.
Source: arXiv (Cornell University)
Author: Zhang, Philip B.
Institution: Tianjin Normal University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G6545595343, G7610362479
OpenAlex ID: W7220957493