Growth of homology torsion in finite coverings and hyperbolic volume

Lê, Thang T. Q.

doi:10.5802/aif.3173

Growth of homology torsion in finite coverings and hyperbolic volume [ Croissance de la torsion homologique dans les revêtements finis et le volume hyperbolique ]

Lê, Thang T. Q.

Annales de l'Institut Fourier, Tome 68 (2018) no. 2, pp. 611-645.

Résumé
Abstract

Nous donnons une limite supérieure pour la croissance des torsions homologiques de revêtements finis de 3-variétés orientées irréductibles en termes du volume hyperbolique.

We give an upper bound for the growth of homology torsions of finite coverings of irreducible oriented 3-manifolds in terms of the hyperbolic volume.

Reçu le : 2016-08-11
Révisé le : 2017-05-07
Accepté le : 2017-07-12
Publié le : 2018-04-17

DOI : https://doi.org/10.5802/aif.3173
Classification : 57M27, 57M25
Mots clés : torsion homologique, revêtements, déterminant de Fuglede-Kadison,volume hyperbolique

@article{AIF_2018__68_2_611_0,
     author = {L\^e, Thang T. Q.},
     title = {Growth of homology torsion in finite coverings and hyperbolic volume},
     journal = {Annales de l'Institut Fourier},
     pages = {611--645},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {68},
     number = {2},
     year = {2018},
     doi = {10.5802/aif.3173},
     language = {en},
     url = {archive.numdam.org/item/AIF_2018__68_2_611_0/}
}

Lê, Thang T. Q. Growth of homology torsion in finite coverings and hyperbolic volume. Annales de l'Institut Fourier, Tome 68 (2018) no. 2, pp. 611-645. doi : 10.5802/aif.3173. http://archive.numdam.org/item/AIF_2018__68_2_611_0/

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