#### Volume 15, issue 6 (2015)

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The $L^2$–Alexander torsion is symmetric

### Jérôme Dubois, Stefan Friedl and Wolfgang Lück

Algebraic & Geometric Topology 15 (2015) 3599–3612
##### Abstract

We show that the ${L}^{2}$–Alexander torsion of a $3$–manifold is a symmetric function. This can be viewed as a generalization of the symmetry of the Alexander polynomial of a knot.

##### Keywords
$L^2$–Alexander torsion, duality, Thurston norm, knot genus
Primary: 57M27
Secondary: 57Q10