Connectivity of the branch locus of moduli space of rational maps

Ruben A. Hidalgo, Saul Quispe

Milnor proved that the moduli space ${\mathrm{M}}_d$ of rational maps of degree $d\ge 2$ has a complex orbifold structure of dimension $2(d-1)$. Let us denote by ${\mathcal{S}}_d$…