Dehn fillings creating essential spheres and tori
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2000
- DOI:
- 10.48550/arXiv.math/0011056
- arXiv:
- arXiv:math/0011056
- Bibcode:
- 2000math.....11056L
- Keywords:
-
- Geometric Topology;
- 57M50
- E-Print:
- 3 pages