Discrete primitive-stable representations with large rank surplus
Geometric Topology
2014-11-11 v1 Dynamical Systems
Abstract
We construct a sequence of primitive-stable representations of free groups into PSL(2,C) whose ranks go to infinity, but whose images are discrete with quotient manifolds that converge geometrically to a knot complement. In particular this implies that the rank and geometry of the image of a primitive-stable representation imposes no constraint on the rank of the domain.
Keywords
Cite
@article{arxiv.1009.6212,
title = {Discrete primitive-stable representations with large rank surplus},
author = {Yair Minsky and Yoav Moriah},
journal= {arXiv preprint arXiv:1009.6212},
year = {2014}
}
Comments
35 Pages, 20 figures