Finite Volume Properly Convex Deformations of the Figure-eight Knot
Geometric Topology
2016-03-22 v3
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.
Keywords
Cite
@article{arxiv.1403.3314,
title = {Finite Volume Properly Convex Deformations of the Figure-eight Knot},
author = {Samuel A. Ballas},
journal= {arXiv preprint arXiv:1403.3314},
year = {2016}
}
Comments
21 pages, 7 figure. Incorporated additional referee comments, fixed typos. Simplified the proof of Lemma 3.3. To appear in Geometriae Dedicata