Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroidsAlice L. L. Gao, Yun Li, Matthew H. Y. Xiehttps://arxiv.org/abs/2510.11322 https://
Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroidsIn this paper, we focus on the equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids, a natural family of graphic matroids associated with the complete tripartite graphs $K_{1,1,n}$. These polynomials were introduced by Proudfoot as an extension of the Kazhdan--Lusztig theory for matroids. We derive closed-form expressions for the $\mathfrak{S}_n$-equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids and present them explicitly in terms of the irreducible rep…