Toroidal and Boundary-Reducing Dehn Fillings

Details Toroidal and Boundary-Reducing Dehn Fillings Toroidal and Boundary-Reducing Dehn Fillings

1998-01-27

arxiv.org/abs/math/9801120v1

Mathematics

Geometric Topology

12 pp., AmSTeX, 6 figs.[uses epsf], Topology Appl. (to appear)

Scientific paper

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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