Realising end invariants by limits of minimally parabolic, geometrically finite groups

نویسنده

  • Ken’ichi Ohshika
چکیده

We shall show that for a given homeomorphism type and a set of end invariants (including the parabolic locus) with necessary topological conditions which a topologically tame Kleinian group with that homeomorphism type must satisfy, there is a limit of minimally parabolic, geometrically finite Kleinian groups having exactly that homeomorphism type and end invariants. This shows that the Bers-Thurston density conjecture follows from Marden’s conjecture proved by Agol, Calegari-Gabai combined with Thurston’s uniformisation theorem and the ending lamination conjecture proved by Minsky, partially collaborating with Masur,

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تاریخ انتشار 2005