The maximal number of exceptional Dehn surgeries
Geometric Topology
2008-08-11 v1
Abstract
We prove two conjectures of C. Gordon. We show that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that the maximal intersection number between exceptional slopes is 8. The proof uses a combination of new geometric techniques and a rigorous computer-assisted calculation.
Cite
@article{arxiv.0808.1176,
title = {The maximal number of exceptional Dehn surgeries},
author = {Marc Lackenby and Robert Meyerhoff},
journal= {arXiv preprint arXiv:0808.1176},
year = {2008}
}
Comments
33 pages, 10 figures