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Journal Articles Geometry and Topology Year : 2015

Complex hyperbolic geometry of the figure eight knot

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.
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Dates and versions

hal-00805427 , version 1 (27-03-2013)
hal-00805427 , version 2 (11-02-2014)

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Martin Deraux, Elisha Falbel. Complex hyperbolic geometry of the figure eight knot. Geometry and Topology, 2015, 19, pp.237-293. ⟨10.2140/gt.2015.19.237⟩. ⟨hal-00805427v2⟩
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