Geodesic
A Note on Finite Dehn Fillings
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 149-154

Voir la notice de l'article provenant de la source Cambridge University Press

Let $M$ be a compact, connected, orientable 3-manifold whose boundary is a torus and whose interior admits a complete hyperbolic metric of finite volume. In this paper we show that if theminimal Culler-Shalen norm of a non-zero class in ${{H}_{1}}(\partial M)$ is larger than 8, then the finite surgery conjecture holds for $M$ . This means that there are at most 5 Dehn fillings of $M$ which can yieldmanifolds having cyclic or finite fundamental groups and the distance between any slopes yielding such manifolds is at most 3.
DOI : 10.4153/CMB-1999-017-7
Mots-clés : 57M25, 57R65 
Boyer, S.; Zhang, X. A Note on Finite Dehn Fillings. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 149-154. doi: 10.4153/CMB-1999-017-7
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-017-7/}
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