Geodesic
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
Documenta mathematica, Tome 18 (2013), pp. 1045-1087.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove that cubulated hyperbolic groups are virtually special. The proof relies on results of Haglund and Wise which also imply that they are linear groups, and quasi-convex subgroups are separable. A consequence is that closed hyperbolic 3-manifolds have finite-sheeted Haken covers, which resolves the virtual Haken question of Waldhausen and Thurston's virtual fibering question. An appendix to this paper by Agol, Groves, and Manning proves a generalization of the main result of citeAGM08.
Classification : 57M, 20F67
Keywords: hyperbolic, group, haken 
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Agol, Ian. The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).. Documenta mathematica, Tome 18 (2013), pp. 1045-1087. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a17/