English

Dehn fillings creating essential spheres and tori

Geometric Topology 2007-05-23 v1

Abstract

Let MM be a simple 3-manifold with a toral boundary component. It is known that if two Dehn fillings on MM along the boundary produce a reducible manifold and a toroidal manifold, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

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Cite

@article{arxiv.math/0011056,
  title  = {Dehn fillings creating essential spheres and tori},
  author = {Sangyop Lee and Seungsang Oh and Masakazu Teragaito},
  journal= {arXiv preprint arXiv:math/0011056},
  year   = {2007}
}

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3 pages