On the existence of holomorphic curves in compact quotients of $\mathrm{SL}(2,\mathbb{C})$

Indranil Biswas, Sorin Dumitrescu, Lynn Heller +1

We prove the existence of a pair $(\Sigma ,\Gamma )$, where $\Sigma$ is a compact Riemann surface with $\text{genus}(\Sigma )\ge 2$, and $\Gamma \subset \mathrm{S}L(2,\mathbb{C})$ is a cocompact…