Growth of homology torsion in finite coverings and hyperbolic volume

Lê, Thang T. Q.

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

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.

Classification : 57M27, 57M25
Keywords: Homology torsion, covering, Fuglede-Kadison determinant, hyperbolic volume
Mot clés : torsion homologique, revêtements, déterminant de Fuglede-Kadison, volume hyperbolique

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