# ANNALES DE L'INSTITUT FOURIER

Growth of homology torsion in finite coverings and hyperbolic volume
Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 611-645.

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.

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

Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3173
Classification: 57M27, 57M25
Keywords: Homology torsion, covering, Fuglede-Kadison determinant, hyperbolic volume
Lê, Thang T. Q. 1

1 School of Mathematics 686 Cherry Street, Georgia Tech Atlanta, GA 30332 (USA)
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Lê, Thang T. Q. Growth of homology torsion in finite coverings and hyperbolic volume. Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 611-645. doi : 10.5802/aif.3173. https://aif.centre-mersenne.org/articles/10.5802/aif.3173/

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