Intermediate moduli spaces of stable maps

We describe the Chow ring with rational coefficients of $\overline{M}_{0,1}(\mathbb{P}^n,d)$ as the subring of invariants of a ring $B^*(\overline{M}_{0,1}(\mathbb{P}^n,d);\mathbb{Q})$ , relative to the action of the group of symmetries Sd. We compute $B^*(\overline{M}_{0,1}(\mathbb{P}^n,d);\mathbb{Q})$ by following a sequence of intermediate spaces for $\overline{M}_{0,1}(\mathbb{P}^n,d)$ .