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Marden's conjecture for hyperbolic 3-manifolds and 2-convexity


Speaker: Suhyoung Choi, KAIST, Korea
Location: 693 Kerr
Start time: Fri, Jan 14 2005, 4:10PM

We use 2-convexity, Gromov hyperbolicity, truncating and drilling hyperbolic manifolds to prove Marden's conjecture that a hyperbolic 3-manifold with finitely generated fundamental group is homeomorphic to the interior of a compact 3-manifold. We mainly use PL-type arguments to accomplish the tasks. Our idea somewhat overlaps with the recently announced proofs by Agol, Calegari, and Gabai. However, we do not use geometric analysis, geometric convergences, and the end reduction theory.