Exponential growth of torsion in Abelian coverings
Geometric Topology
2014-10-01 v2
Abstract
We study the growth of the order of torsion subgroups of the homology in a tower of finite abelian coverings. In particular, we prove that it is exponential for when the tower converges to the maximal free abelian cover of a link complement when the first nonzero Alexander polynomial has positive logarithmic Mahler measure.
Keywords
Cite
@article{arxiv.1012.3666,
title = {Exponential growth of torsion in Abelian coverings},
author = {Jean Raimbault},
journal= {arXiv preprint arXiv:1012.3666},
year = {2014}
}
Comments
42 pages, to appear in AGT. Various minor mistakes corrected and exposition changed