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arxiv: math/0011057 · v1 · submitted 2000-11-09 · 🧮 math.GT

P²-reducing and toroidal Dehn fillings

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keywords fillingscreatesdehnbestbottleboundcasecases
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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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