Non-injective representations of a closed surface group into $PSL(2,\mathbb{R})$

Louis Funar, Maxime Wolff

Let $e$ denote the Euler class on the space $Hom({\Gamma }_g,PSL(2,\mathbb{R}))$ of representations of the fundamental group ${\Gamma }_g$ of the closed surface ${\Sigma }_g$ of genus $g$. Goldman showed…