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Reducible and toroidal Dehn fillings with distance 3

Sungmo Kang

math.GTarXiv:math/0609298

Abstract

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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