Open Access
2015 The $L^2$–Alexander torsion is symmetric
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
Algebr. Geom. Topol. 15(6): 3599-3612 (2015). DOI: 10.2140/agt.2015.15.3599

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.

Citation

Download Citation

Jérôme Dubois. Stefan Friedl. Wolfgang Lück. "The $L^2$–Alexander torsion is symmetric." Algebr. Geom. Topol. 15 (6) 3599 - 3612, 2015. https://doi.org/10.2140/agt.2015.15.3599

Information

Received: 20 November 2014; Revised: 7 April 2015; Accepted: 24 April 2015; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1337.57035
MathSciNet: MR3450772
Digital Object Identifier: 10.2140/agt.2015.15.3599

Subjects:
Primary: 57M27
Secondary: 57Q10

Keywords: $L^2$–Alexander torsion , Duality , knot genus , Thurston norm

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 6 • 2015
MSP
Back to Top