Complex hyperbolic geometry of the figure eight knot
Geometric Topology
2015-05-27 v2
Abstract
We show that the figure eight knot complement admits a uniformizable spherical CR structure, i.e. it occurs as the manifold at infinity of a complex hyperbolic orbifold. The uniformization is unique provided we require the peripheral subgroups to have unipotent holonomy.
Cite
@article{arxiv.1303.7096,
title = {Complex hyperbolic geometry of the figure eight knot},
author = {Martin Deraux and Elisha Falbel},
journal= {arXiv preprint arXiv:1303.7096},
year = {2015}
}