The $\mathbb{S}_n$-equivariant Chow polynomial of the Braid matroid
Siddarth Kannan, Lukas Kühne
Published: 2025/4/28
Abstract
We determine the generating function for the $\mathbb{S}_n$-equivariant Chow polynomials of the braid matroid $B_n$, using a modular interpretation of this polynomial recently given by Devkota, Robotis, and Zahariuc. We also give a new modular interpretation of the numerical Chow polynomial of $B_n$ in terms of a certain moduli space of genus-zero relative stable maps to $\mathbb{P}^1$.