Growth of homology torsion in finite coverings and hyperbolic volume

Abstract

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

25 pages. The case of closed 3-manifolds is added back, with new proof. Final version to appear in print

References in corpus (1)

• Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds

Cited by in corpus (4)

• The profinite completions of knot groups determine the Alexander polynomials
• Survey on approximating L^2-invariants by their classical counterparts: Betti numbers, torsion invariants and homological growth
• The virtual Thurston seminorm of 3-manifolds
• A remark on torsion growth in homology and volume of 3-manifolds