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Toroidal and boundary-reducing Dehn fillings

✍ Scribed by C.McA. Gordon; J. Luecke

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 165 KB
Volume: 93
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00258-7

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✦ Synopsis

Let M be a simple 3-manifold with a toral boundary component ∂0M . If Dehn filling M along ∂0M one way produces a toroidal manifold, and Dehn filling M along ∂0M another way produces a boundary-reducible manifold, then we show that the absolute value of the intersection number on ∂0M 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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