Annular Dehn fillings

Details Annular Dehn fillings Annular Dehn fillings

2000-10-31

arxiv.org/abs/math/0010327v1

Mathematics

Geometric Topology

23 pages, 6 figures

Scientific paper

We show that if a simple 3-manifold $M$ has two Dehn fillings at distance
$\Delta \geq 4$, each of which contains an essential annulus, then $M$ is one
of three specific 2-component link exteriors in $S^3$. One of these has such a
pair of annular fillings with $\Delta = 5$, and the other two have pairs with
$\Delta = 4$.

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