Abstract
We show that the figure-eight knot complement admits a uniformizable spherical structure, ie 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.
Citation
Martin Deraux. Elisha Falbel. "Complex hyperbolic geometry of the figure-eight knot." Geom. Topol. 19 (1) 237 - 293, 2015. https://doi.org/10.2140/gt.2015.19.237
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