Critical-point-free energy for fractional-Toledo representations

Rivu Bardhan, Anu Dhochak, Pradip Kumar

Let $S_g$ be a closed oriented surface of genus $g\ge 2$. For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let $E_{\rho }$ be the energy function on Teichmüller space associated to…