Geometry & Topology
- Geom. Topol.
- Volume 17, Number 4 (2013), 2223-2261.
Discrete primitive-stable representations with large rank surplus
We construct a sequence of primitive-stable representations of free groups into 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.
Geom. Topol., Volume 17, Number 4 (2013), 2223-2261.
Received: 30 September 2010
Revised: 16 October 2012
Accepted: 25 April 2013
First available in Project Euclid: 20 December 2017
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Minsky, Yair N; Moriah, Yoav. Discrete primitive-stable representations with large rank surplus. Geom. Topol. 17 (2013), no. 4, 2223--2261. doi:10.2140/gt.2013.17.2223. https://projecteuclid.org/euclid.gt/1513732651