# 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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