Ja n 19 98 TOROIDAL AND BOUNDARY - REDUCING DEHN FILLINGS

نویسنده

  • J. Luecke
چکیده

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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تاریخ انتشار 1999