arXiv:1403.3314 Abstract | arXiv Analytics

arXiv:1403.3314 [math.GT]Abstract References Reviews Resources

Finite Volume Properly Convex Deformations of the Figure-eight Knot

Published 2014-03-13, updated 2014-08-19Version 2

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.

Comments: 21 pages, 7 figure. Incorporated referee comments, fixed typos. Small change in proof of Lemma 4 to improve clarity

Categories: math.GT

Keywords: finite volume properly convex deformations, figure-eight knot complement, properly convex projective structures, volume properly convex projective

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