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arxiv: 1009.6212 · v1 · pith:OMQO3FU2new · submitted 2010-09-30 · 🧮 math.GT · math.DS

Discrete primitive-stable representations with large rank surplus

classification 🧮 math.GT math.DS
keywords primitive-stablerankdiscreterepresentationswhosecomplementconstraintconstruct
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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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