The maximal number of exceptional Dehn surgeries
|
Mon, 09/03/2009 15:45 |
Marc Lackenby (Oxford) |
Topology Seminar  |
L3 |
| I will outline the proof of two old conjectures of Cameron Gordon. The first states that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10. The second states the maximal distance between exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 8. The proof uses a combination of new geometric techniques and rigorous computer-assisted calculations. This is joint work with Rob Meyerhoff. | |||