Super-maximal representations from fundamental groups of punctured surfaces to $\mathrm{PSL}(2,\mathbb{R})$

Bertrand Deroin, Nicolas Tholozan

We study a particular class of representations from the fundamental groups of punctured spheres ${\Sigma }_{0,n}$ to the group $\text{PSL}(2,\mathbb{R})$ (and their moduli spaces), that we…