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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 L2–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
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57Q10
References
Publication
Received: 20 November 2014
Revised: 7 April 2015
Accepted: 24 April 2015
Published: 12 January 2016
Authors
Jérôme Dubois
Laboratoire de Mathématiques UMR 6620 – CNRS
Université Blaise Pascal
Campus des Cézeaux
BP 80026
63171 Aubière
France
Stefan Friedl
Fakultät für Mathematik
Universität Regensburg
D-93053 Regensburg
Germany
Wolfgang Lück
Mathematisches Institut
Rheinische Wilhelms-Universität Bonn
Endenicher Allee 60
D-53115 Bonn
Germany