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arxiv: math/0009150 · v1 · submitted 2000-09-15 · 🧮 math.GT

Hyperbolic Dehn surgery on geometrically infinite 3-manifolds

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keywords hyperbolicdehngeometricallysurgeryinfinitemanifoldstheoremapplication
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In this paper we extend Thurston's hyperbolic Dehn surgery theorem to a class of geometrically infinite hyperbolic 3-manifolds. As an application we prove a modest density theorem for Kleinian groups. We also discuss hyperbolic Dehn surgery on geometrically finite hypebolic cone-manifolds.

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