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The maximal number of exceptional Dehn surgeries

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

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Publisher copy:
10.1007/s00222-012-0395-2

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Meyerhoff, R More by this author
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:

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