Toroidal and Boundary-reducing Dehn Fillings

@inproceedings{Luecke1999ToroidalAB,
  title={Toroidal and Boundary-reducing Dehn Fillings},
  author={John Luecke},
  year={1999}
}
Let M be a simple 3-manifold with a toral boundary component ∂ 0 M. If Dehn filling M along ∂ 0 M one way produces a toroidal manifold and Dehn filling M along ∂ 0 M another way produces a boundary-reducible manifold, then we show that the absolute value of the intersection number on ∂ 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… CONTINUE READING
Highly Cited
This paper has 21 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Reducible manifolds and Dehn surgery

  • C Mca, J Gordon, Luecke
  • Topology
  • 1996

Dehn surgeries on knots creating essential tori, I, Communications in Analysis and Geometry

  • C Mca, J Gordon, Luecke
  • Dehn surgeries on knots creating essential tori…
  • 1995

Essential tori obtained by surgery on a knot

  • E-M ] M Eudave-Muñoz
  • Pacific J. Math
  • 1995

Incompressible planar surfaces in 3-manifolds

  • C Mca, R A Gordon, Litherland
  • Topology and its Applications
  • 1984

Boundary slopes of punctured tori in 3-manifolds

  • C Mca, Gordon
  • Trans. Amer. Math. Soc

Dehn surgeries on knots creating essential tori, II, Communications in Analysis and Geometry

  • C Mca, J Gordon, Luecke
  • Dehn surgeries on knots creating essential tori…

Similar Papers

Loading similar papers…