Counting surface subgroups in cusped hyperbolic 3-manifolds

Xiaolong Hans Han, Zhenghao Rao, Jia Wan

Let $M={\mathbb{H}}^3/\Gamma$ be a finite-volume, noncompact hyperbolic 3-manifold. We show that the number of quasi-Fuchsian surface subgroups of $\Gamma$ (up to conjugacy and commensurabili…