A 1-parameter family of spherical CR uniformizations of the figure eight knot complement
Résumé
We construct a 1-parameter family of representations of the fundamental group of the figure eight knot complement into PU(2,1), such that peripheral subgroups are mapped to parabolic elements. We show that for small values of the twist of these parabolic elements, these representations are the holonomy of a spherical CR uniformization of the figure eight knot complement.
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