Algebraic & Geometric Topology 12 (2012) 1331–1372

DOI: 10.2140/agt.2012.12.1331

Abstract

We show exponential growth of torsion numbers for links whose first nonzero Alexander polynomial has positive logarithmic Mahler measure. This extends a theorem of Silver and Williams to the case of a null first Alexander polynomial and provides a partial solution for a conjecture of theirs.

Keywords

Reidemeister torsion, l²–torsion

Mathematical Subject Classification

Primary: 57M10

Secondary: 57M25, 57Q10

References

Publication

Received: 8 April 2011
Revised: 24 February 2012
Accepted: 20 March 2012
Published: 23 June 2012

Authors