Counting surface subgroups in cusped hyperbolic 3-manifolds

Xiaolong Hans Han, Zhenghao Rao, Jia Wan

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