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Workshop
Abstract Detail
Richard Evans
U. of Auckland
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Bounded balls in convex cores
McMullen made the following conjecture: given a compact 3-manifold, M, there is a constant K such that the radius of the largest isometrically embedded ball contained in the convex core of a hyperbolic 3-manifold homotopy equivalent to M is bounded above by K. We prove this conjecture in the case that M has incompressible boundary.
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| Topic: |
Deformation theory of hyperbolic 3-manifolds
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