Kazhdan-Lusztig polynomials of matroids under deletion
Combinatorics
2023-06-13 v3
Abstract
We present a formula which relates the Kazhdan-Lusztig polynomial of a matroid , as defined by Elias, Proudfoot and Wakefield, to the Kazhdan--Lusztig polynomials of the matroid obtained by deleting an element, and various contractions and localizations of . We give a number of applications of our formula to Kazhdan--Lusztig polynomials of graphic matroids, including a simple formula for the Kazhdan--Lusztig polynomial of a parallel connection graph.
Cite
@article{arxiv.1909.09888,
title = {Kazhdan-Lusztig polynomials of matroids under deletion},
author = {Tom Braden and Artem Vysogorets},
journal= {arXiv preprint arXiv:1909.09888},
year = {2023}
}
Comments
21 pages, two figures. Fixed small error in introduction