no. 2
Growth of homology torsion in finite coverings and hyperbolic volume
Lê, Thang T. Q.1
1School of Mathematics 686 Cherry Street, Georgia Tech Atlanta, GA 30332 (USA)
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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3173
Classification: 57M27, 57M25
Keywords: Homology torsion, covering, Fuglede-Kadison determinant, hyperbolic volume
Mots-clés : torsion homologique, revêtements, déterminant de Fuglede-Kadison, volume hyperbolique

Lê, Thang T. Q.  1

1 School of Mathematics 686 Cherry Street, Georgia Tech Atlanta, GA 30332 (USA)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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
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