Let Γ<PSL(2,R) be a cocompact lattice and ρ:Γ→G a representation.
Recall that when G=PSL(n,R), ρ is Hitchin if it lies in the connected component
of Hom(Γ,PSL(n,R)) containing the restriction to Γ of the irreducible PSL(n,R)-representation of PSL(2,…