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
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.
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
@article{10_4153_CMB_1999_017_7,
author = {Boyer, S. and Zhang, X.},
title = {A {Note} on {Finite} {Dehn} {Fillings}},
journal = {Canadian mathematical bulletin},
pages = {149--154},
year = {1999},
volume = {42},
number = {2},
doi = {10.4153/CMB-1999-017-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-017-7/}
}
Cité par Sources :