P^2-reducing and toroidal Dehn fillings

Mathematics – Geometric Topology

Scientific paper

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19 pages, 11 figures

Scientific paper

We study the situation where we have two exceptional Dehn fillings on a given
hyperbolic 3-manifold. We consider two cases that one filling creates a
projective plane, and the other creates an essential torus or a Klein bottle,
and give the best possible upper bound on the distance between two fillings for
each case.

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