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arxiv: math/0405568 · v1 · submitted 2004-05-29 · 🧮 math.GT · math.DG

Tameness of hyperbolic 3-manifolds

Ian Agol This is my paper
classification 🧮 math.GT math.DG
keywords manifoldshyperbolicconjectureactuallyahlforsanswersapplicationscurved
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We show that hyperbolic 3-manifolds with finitely generated fundamental group are tame, that is the ends are products. We actually work in slightly greater generality with pinched negatively curved manifolds with hyperbolic cusps. This answers a conjecture of Marden and implies the Ahlfors measure conjecture. Applications are given to other questions about Kleinian groups and 3-manifolds.

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