Dehn fillings creating essential spheres and tori

Sangyop Lee; Seungsang Oh; Masakazu Teragaito

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Dehn fillings creating essential spheres and tori

Sangyop Lee·Seungsang Oh·Masakazu Teragaito

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Abstract

Let $M$ be a simple 3-manifold with a toral boundary component. It is known that if two Dehn fillings on $M$ along the boundary produce a reducible manifold and a toroidal manifold, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

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BibTeX RIS

Sangyop Lee, Seungsang Oh, Masakazu Teragaito. 2000-11-09. Dehn fillings creating essential spheres and tori. https://arxiv.org/abs/math/0011056

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