- 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.
- Publication status:
- Published
- Publisher copy:
- 10.1007/s00222-012-0395-2
-
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- Journal:
- INVENTIONES MATHEMATICAE
- Volume:
- 191
- Issue:
- 2
- Pages:
- 341-382
- Publication date:
- 2008-08-08
- DOI:
- EISSN:
-
1432-1297
- ISSN:
-
0020-9910
- URN:
-
uuid:a906df4e-59f7-4d90-bbd7-6f8c90cc046c
- Source identifiers:
-
146822
- Local pid:
- pubs:146822
- Keywords:
- Copyright date:
- 2008
- Notes:
- 33 pages, 10 figures
Journal article
The maximal number of exceptional Dehn surgeries
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