Dominating surface-group representations via Fock-Goncharov coordinates

Pabitra Barman, Subhojoy Gupta

Let $S$ be a punctured surface of negative Euler characteristic. We show that given a generic representation $\ddot{I}:\ddot{I}{€}_1(S)\to {\mathrm{PSL}}_n(\mathbb{C})$, there exists a pos…