Homology lens spaces and $\mathrm{SL}(2,\mathbb{C})$

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We prove that if $Y$ is a closed, oriented 3-manifold with first homology $H_1(Y;\mathbb{Z})$ of order less than $5$, then there is an irreducible representation $π_1(Y) \to \mathr…