Complete hyperbolic structures in the complement of the Borromean rings
Geometric Topology
2021-12-23 v1
Abstract
In this note, we show the fundamental group of the complement of the Borromean rings in has exactly two representations in which are faithful, discrete and send meridians into parabolic elements. Using this result we are able to show that Borromean rings admit exactly one hyperbolic structure.
Keywords
Cite
@article{arxiv.2112.11932,
title = {Complete hyperbolic structures in the complement of the Borromean rings},
author = {Angel Cano and Juan Francisco Estrada},
journal= {arXiv preprint arXiv:2112.11932},
year = {2021}
}