Primitive stable representations of free Kleinian groups
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Abstract
In this paper, we give a complete criterion for a discrete faithful representation $\rho:F_n \ra \pslc$ to be primitive stable. This will answer Minsky's conjectures about geometric conditions on $\H^3/\rho(F_n)$ regarding the primitive stability of $\rho$.
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This publication has 18 references indexed in Scilit:
- Ending Laminations and Cannon–Thurston MapsGeometric and Functional Analysis, 2014
- Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifoldsComptes Rendus Mathematique, 2010
- The Cannon–Thurston map for punctured-surface groupsMathematische Zeitschrift, 2006
- Cannon-Thurston maps for hyperbolic group extensionsTopology, 1998
- Ending laminations for hyperbolic group extensionsGeometric and Functional Analysis, 1997
- A covering theorem for hyperbolic 3-manifolds and its applicationsTopology, 1996
- Automorphisms of Surfaces after Nielsen and Thurston1988
- Measured foliations and handlebodiesErgodic Theory and Dynamical Systems, 1986
- Algorithmic compression of surface automorphismsInventiones Mathematicae, 1985
- Group completions and limit sets of Kleinian groupsInventiones Mathematicae, 1980