We study an operation in matroid theory that allows one to transition a given matroid into
another with more bases via relaxing a stressed subset. This framework provides a new …

We study the Hilbert series of four objects arising in the Chow-theoretic and Kazhdan–
Lusztig framework of matroids. These are, respectively, the Hilbert series of the Chow ring …

In this article, we make several contributions of independent interest. First, we introduce the
notion of stressed hyperplane of a matroid, essentially a type of cyclic flat that permits to …

We introduce the Z-polynomial of a matroid, which we define in terms of the Kazhdan-
Lusztig polynomial. We then exploit a symmetry of the Z-polynomial to derive a new …

We provide a combinatorial interpretation of the Kazhdan–Lusztig polynomial of the matroid
arising from the braid arrangement of type $\mathrm {A} _ {n-1} $, which gives an …

In analogy with the classical Kazhdan-Lusztig polynomials for Coxeter groups, Elias,
Proudfoot and Wakefield introduced the concept of Kazhdan-Lusztig polynomials for …

Given a matroid with a symmetry group, we study the induced group action on the Chow ring
of the matroid with respect to symmetric building sets. This turns out to always be a …

Kazhdan–Lusztig–Stanley polynomials are combinatorial generalizations of Kazhdan–
Lusztig polynomials of Coxeter groups that include g-polynomials of polytopes and Kazhdan …

Abstract The Kazhdan-Lusztig polynomial of a matroid was introduced by Elias et
al.(2016)[4]. Let U m, d denote the uniform matroid of rank d on a set of m+ d elements …

Abstract Elias, et al.(2016) conjectured that the Kazhdan-Lusztig polynomial of any matroid
is log-concave. Inspired by a computer proof of Moll's log-concavity conjecture given by …