Finite Volume Properly Convex Deformations of the Figure-eight Knot

Abstract

In this paper we show that some open set of the representations of the fundamental group of figure-eight knot complement found in \cite{Ballas12a} are the holonomies of a family of finite volume properly convex projective structures on the figure-eight knot complement.

21 pages, 7 figure. Incorporated additional referee comments, fixed typos. Simplified the proof of Lemma 3.3. To appear in Geometriae Dedicata

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