Toroidal and Boundary-Reducing Dehn Fillings

C. McA. Gordon; J. Luecke

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arXiv · math/9801120

Toroidal and Boundary-Reducing Dehn Fillings

C. McA. Gordon·J. Luecke

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Abstract

Let M be a simple 3-manifold with a toral boundary component partial_0 M. If Dehn filling M along partial_0 M one way produces a toroidal manifold and Dehn filling M along partial_0 M another way produces a boundary-reducible manifold, then we show that the absolute value of the intersection number on partial_0 M of the two filling slopes is at most two. In the special case that the boundary-reducing filling is actually a solid torus and the intersection number between the filling slopes is two, more is said to describe the toroidal filling.

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BibTeX RIS

C. McA. Gordon, J. Luecke. 1998-01-27. Toroidal and Boundary-Reducing Dehn Fillings. https://arxiv.org/abs/math/9801120

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