|
Organizers |
Dehn surgeries and reducible, or P2-reducible 3-manifolds
by
Daniel Matignon
University of Marseille-Provence
Let X be the complement of a regular neighborhood of a knot in S3, and let T be its torus boundary. If r is a slope on T, we denote by X(r) the 3-manifold obtained by producing a r-Dehn surgery on T. We say that X(r) is reducible, or P2-reducible, if it contains an essential 2-sphere, or a projective plane, respectively. In this case, we say that r is a reducible slope, or a P2-reducible slope. The distance between two distinct slopes is the geometric minimal number of intersection between them.
The results of this talk are that the distance between two reducible slopes, or between two P2-reducible slopes is one.
Date received: January 13, 2000
Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-06.