Dehn fillings creating essential spheres and tori

Details Dehn fillings creating essential spheres and tori Dehn fillings creating essential spheres and tori

2000-11-09

arxiv.org/abs/math/0011056v1

Mathematics

Geometric Topology

3 pages

Scientific paper

Let $M$ be a simple 3-manifold with a toral boundary component. It is known
that if two Dehn fillings on $M$ 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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