On the density of geometrically finite Kleinian groups

Mathematics – Geometric Topology

Scientific paper

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59 pages, 2 figures

Scientific paper

The density conjecture of Bers, Sullivan and Thurston predicts that each
complete hyperbolic 3-manifold M with finitely generated fundamental group is
an algebraic limit of geometrically finite hyperbolic 3-manifolds. We prove
that the conjecture obtains for each complete hyperbolic 3-manifold with no
cusps and incompressible ends.

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