Reducible and toroidal Dehn fillings with distance 3

Mathematics – Geometric Topology

Scientific paper

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55 pages, 41 figures

Scientific paper

If a simple 3-manifold M admits a reducible and a toroidal Dehn filling, the
distance between the filling slopes is known to be bounded by three. In this
paper, we classify all manifolds which admit a reducible Dehn filling and a
toroidal Dehn filling with distance 3.

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