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Exponential growth of
torsion in abelian coverings
Jean Raimbault |
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Algebraic & Geometric Topology 12 (2012) 1331–1372
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Abstract |
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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. |
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Keywords
Reidemeister torsion, $\ell^2$–torsion
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Mathematical Subject Classification 2000
Primary: 57M10
Secondary: 57M25, 57Q10
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References |
Publication
Received: 8 April 2011
Revised: 24 February 2012
Accepted: 20 March 2012
Published: 23 June 2012
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Authors |
| Jean Raimbault | |
| Institut de mathématiques de
Jussieu 4, place Jussieu Case 247 75252 Paris Cédex 5 France |
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| http://www.math.jussieu.fr/~raimbault/ | |
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