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Geometrically infinite surface actions on delta-hyperbolic 3-manifolds are tame We show that any simplicial free action of the fundamental group of a closed hyperbolic surface on a contractible, simplicial, uniformly locally finite delta-hyperbolic 3-manifold is geometrically tame. In case the action is not quasiconvex, the quotient manifold is topologically tame. The proof is based on Bonahon's proof of geometric tameness for freely indecomposable hyperbolic 3-manifolds. (undergoing revision - 1-Feb 09) |