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P2-reducing and toroidal Dehn fillings

Gyo Taek Jin, Sangyop Lee, Seungsang Oh, Masakazu Teragaito

math.GTarXiv:math/0011057

Abstract

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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