1. CMB 2003 (vol 46 pp. 265)
|Reducing Spheres and Klein Bottles after Dehn Fillings |
Let $M$ be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on $M$ along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.
Keywords:Dehn filling, reducible, Klein bottle