The L2-Alexander torsion of 3-manifolds. (27th July 2016)

• Record Type: Journal Article
• Authors: Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang
• Is Part Of: Journal of topology. Volume 9:Part 3(2016)
• Page Start: 889
• Page End: 926
• Publication Date: 2016-07-27
• Subjects: Topology -- Periodicals; 514.05
• DOI: 10.1112/jtopol/jtw013
• Languages: English
• ISSNs: 1753-8416

Abstract

Abstract : We introduce $L^2$ -Alexander torsions for 3-manifolds, which can be viewed as a generalization of the $L^2$ -Alexander invariant of Li–Zhang. We state the $L^2$ -Alexander torsions for graph manifolds and we partially compute them for fibered manifolds. We furthermore show that, given any irreducible 3-manifold there exists a coefficient system such that the corresponding $L^2$ -torsion detects the Thurston norm.