no. 2
Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3
Annales de l'Institut Fourier, Volume 48 (1998) no. 2, pp. 535-551.

We introduce a class of knots and use it to prove a topological rigidity criterion for homotopy equivalences between 3-manifolds. As an application, we give a new proof of Gabai’s virtual rigidity theorem for hyperbolic 3-manifolds.

En définissant une nouvelle classe de nœuds dans les variétés de dimension 3, on obtient une démonstration plus classique du théorème de rigidité virtuelle des variétés hyperboliques de D. Gabai.

@article{AIF_1998__48_2_535_0,
     author = {Dubois, Jo\"el},
     title = {N{\oe}uds {Fox-r\'esiduellement} nilpotents et rigidit\'e virtuelle des vari\'et\'es hyperboliques de dimension 3},
     journal = {Annales de l'Institut Fourier},
     pages = {535--551},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {48},
     number = {2},
     year = {1998},
     doi = {10.5802/aif.1628},
     zbl = {0899.57008},
     mrnumber = {1625594},
     language = {fr},
     url = {http://www.numdam.org/articles/10.5802/aif.1628/}
}
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Dubois, Joël. Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3. Annales de l'Institut Fourier, Volume 48 (1998) no. 2, pp. 535-551. doi : 10.5802/aif.1628. http://www.numdam.org/articles/10.5802/aif.1628/

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