COMPLEX HYPERBOLIC GEOMETRY OF THE FIGURE EIGHT KNOT

By Martin Deraux, Elisha Falbel. 2013

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/67da5078a7bbf10fa7f8036d4cccc3bef966a23e