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