Marden's tameness conjecture

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Let MM be a hyperbolic 33-manifold with finitely generated fundamental group. The interior of a compact manifold with boundary is a topological model for a tame hyperbolic 33-manifold. Marden's tameness conjecture. The manifold MM is homeomorphic to the interior of a compact manifold with boundary. The source says that Agol's proof, together with an independent proof by Calegari and Gabai, settled this conjecture and helped clarify the structure of hyperbolic 33-manifolds.

References

Primary source

Young Deuk Kim, “The Thurston boundary of Teichmuller space and complex of curves”, arXiv:math/0506031 (2005).

Additional references

2 papers in this index state this conjecture (2002–2005). The statement above is taken from the most recent of them; the others are arXiv:math/0211022.

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