Growth of regulators in finite abelian coverings

Abstract

We show that the regulator, which is the difference between the homology torsion and the combinatorial Ray-Singer torsion, of fnite abelian coverings of a fixed complex has sub-exponential growth rate.

13 pages

References in corpus (2)

• Exponential growth of torsion in Abelian coverings
• Approximations to the volume of hyperbolic knots