The maximal number of exceptional Dehn surgeries

Details The maximal number of exceptional Dehn surgeries The maximal number of exceptional Dehn surgeries

2008-08-08

arxiv.org/abs/0808.1176v1

Mathematics

Geometric Topology

33 pages, 10 figures

Scientific paper

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.

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