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math.CO2021★ 14 cited
Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids
Luis Ferroni, George D. Nasr, Lorenzo Vecchi
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 pe…
math.CO2021
On matroid modularity and the coefficients of the inverse Kazhdan-Lusztig polynomial of a matroid
Lorenzo Vecchi
Following the work of Gao and Xie in [2], we state some properties of the inverse Kazhdan-Lusztig polynomial of a matroid. We also give partial answers to a conjecture that states…
math.CO2021★ 11 cited
Matroid relaxations and Kazhdan-Lusztig non-degeneracy
Luis Ferroni, Lorenzo Vecchi
In this paper we study the interplay between the operation of circuit-hyperplane relaxation and the Kazhdan--Lusztig theory of matroids. We obtain a family of polynomials, not depe…