Nearly Fuchsian surface subgroups of finite covolume Kleinian groups
Geometric Topology
2023-02-22 v2 Differential Geometry
Dynamical Systems
Abstract
Let Gamma < PSL_2(C) be discrete, cofinite volume, and noncocompact. We prove that for all K > 1, there is a subgroup H < Gamma that is K-quasiconformally conjugate to a discrete cocompact subgroup of PSL_2(R). Along with previous work of Kahn and Markovic, this proves that every finite covolume Kleinian group has a nearly Fuchsian surface subgroup.
Keywords
Cite
@article{arxiv.1809.07211,
title = {Nearly Fuchsian surface subgroups of finite covolume Kleinian groups},
author = {Jeremy Kahn and Alex Wright},
journal= {arXiv preprint arXiv:1809.07211},
year = {2023}
}
Comments
v2: Final prepublication version