Marden's Tameness Conjecture: history and applications

Mathematics – Geometric Topology

Scientific paper

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30 pages, expository article based on a lecture given at the conference on "Geometry, Topology and Analysis of Locally Symmetr

Scientific paper

Marden's Tameness Conjecture predicts that every hyperbolic 3-manifold with
finitely generated fundamental group is homeomorphic to the interior of a
compact 3-manifold. It was recently established by Agol and Calegari-Gabai. We
will survey the history of work on this conjecture and discuss its many
applications.

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