Discrete primitive-stable representations with large rank surplus

Details Discrete primitive-stable representations with large rank surplus Discrete primitive-stable representations with large rank surplus

2010-09-30

arxiv.org/abs/1009.6212v1

Mathematics

Geometric Topology

35 Pages, 20 figures

Scientific paper

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.

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