Chow groups of braid matroids and relative maps to $\mathbb{P}^1$

Abstract: We provide a modular interpretation for the rational Chow groups of the braid matroid $B_n$, with respect to the maximal building set, in terms of certain moduli spaces of genus zero relative stable maps to $\mathbb{P}<sup>1$. We use this perspective to compute the generating function for the Chow polynomials.