The ${\mathbb{S}}_n$-equivariant Euler characteristic of the moduli space of graphs

Michael Borinsky, Jos Vermaseren

We prove a formula for the ${\mathbb{S}}_n$-equivariant Euler characteristic of the moduli space of graphs ${\mathcal{M}\mathcal{G}}_{g,n}$. Moreover, we prove that the rational ${\mathbb{S}}_n$…