Non-strict plurisubharmonicity of energy on Teichmüller space

Ognjen Tošić

For an irreducible representation $\rho :{\pi }_1({\Sigma }_g)\to \mathrm{GL}(n,\mathbb{C})$ there is an energy functional ${\mathrm{E}}_{\rho }:{\mathcal{T}}_g\to \mathbb{R}$, defined on Teichmüller space by…