COMPLEX HYPERBOLIC GEOMETRY OF THE FIGURE EIGHT KNOT

@article{Deraux2015COMPLEXHG,
  title={COMPLEX HYPERBOLIC GEOMETRY OF THE FIGURE EIGHT KNOT},
  author={Martin Deraux and Elisha Falbel},
  journal={Geometry \& Topology},
  year={2015},
  volume={19},
  pages={237-293}
}
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. 
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TLDR
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