Trace Systoles and Sink Constant

Frederic Palesi

Let $\Sigma$ be a surface with $\chi (\Sigma )<0$, and a representation $\rho$ from the fundamental group ${\pi }_1(\Sigma )$ into $\mathrm{SL}(2,\mathbb{C})$. We define the \emph{trace systole} of $\rho$, den…