Exponential growth of torsion in Abelian coverings

Details Exponential growth of torsion in Abelian coverings Exponential growth of torsion in Abelian coverings

2010-12-16

arxiv.org/abs/1012.3666v2

Mathematics

Geometric Topology

42 pages, to appear in AGT. Various minor mistakes corrected and exposition changed

Scientific paper

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.

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