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Marden's conjecture for hyperbolic 3-manifolds and 2-convexityGeometry/Topology
|Speaker:||Suhyoung Choi, KAIST, Korea|
|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.