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Bibliographic Details
Main Author: Rao, Zhenghao
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2302.01995
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Table of Contents:
  • In this paper, we want to control the geometry of some surface subgroups of a cocompact Kleinian group. More precisely, provided any genus-2 quasi-Fuchsian group $Γ$ and cocompact Kleinian group $G$, then for any $K>1$, we will find a surface subgroup $H$ of $G$ that is $K$-quasiconformally conjugate to a finite index subgroup $F<Γ$.