Abstract

In his 1986 article [Th2], W. Thurston proposed that one might approachMarden’s conjecture from a dynamical point of view via a study of limits in the natural deformation space: its interior consists of geometrically finite manifolds, and promoting their tameness to algebraic limits on the boundary has proven to be a successful strategy to address Marden’s conjecture in special cases. In this paper we complete this part of his approach.

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