On homomorphisms of ${\pi }_1({\mathbb{P}}^1-\mathcal{R})$ into compact semisimple groups

Vikraman Balaji, Yashonidhi Pandey

The aim of this paper is to give verifiable criteria for the existence of {\em irreducible} homomorphisms of ${\pi }_1({\mathbb{P}}^1-\mathcal{R})$ into compact semisimple groups, for a…