Annular Dehn fillings

Abstract

We show that if a simple 3-manifold $M$ has two Dehn fillings at distance $\Delta \ge 4$, 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 $\Delta =4$.

23 pages, 6 figures