Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3
Annales de l'Institut Fourier, Tome 48 (1998) no. 2, p. 535-551
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.
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.
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {48},
     number = {2},
     year = {1998},
     pages = {535-551},
     doi = {10.5802/aif.1628},
     mrnumber = {1625594},
     zbl = {0899.57008},
     mrnumber = {2000a:57027},
     language = {fr},
     url = {http://www.numdam.org/item/AIF_1998__48_2_535_0}
}
Dubois, Joël. Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3. Annales de l'Institut Fourier, Tome 48 (1998) no. 2, pp. 535-551. doi : 10.5802/aif.1628. https://www.numdam.org/item/AIF_1998__48_2_535_0/

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