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Cores of Hyperbolic 3-Manifolds and Limits of Kleinian Groups II

Cores of Hyperbolic 3-Manifolds and Limits of Kleinian Groups II

Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent sequence of isomorphic Kleinian groups agree if there are no new parabolics in the algebraic limit. We prove that this conjecture holds in ‘most’ cases. In particular, we show that it holds when the domain of discontinuity …