12 citations · 67 across the 14 of their papers we have counts for
14 papers
Asymptotics of twisted Alexander polynomials and hyperbolic volume
Léo Bénard, Jérôme Dubois, Michael Heusener +1
For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavi…
The -Alexander torsion is symmetric
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We show that the -Alexander torsion of a 3-manifold is symmetric. This can be viewed as a generalization of the symmetry of the Alexander polynomial of a knot.
Three flavors of twisted invariants of knots
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
The Alexander polynomial of a knot has been generalized in three different ways to give twisted invariants. The resulting invariants are usually referred to as twisted Alexander po…
The L^2-Alexander torsion of 3-manifolds
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We introduce -Alexander torsions for 3-manifolds, which can be viewed as a generalization of the -Alexander polynomial of Li--Zhang. We state the -Alexander torsions…
-Alexander invariant for knots
Jérôme Dubois, Christian Wegner
This paper deals with the study of a new family of knot invariants: the -Alexander invariant. A main result is to give a method of computation of the -Alexander invariant…
Behavior of the SU(2)-Reidemeister torsion form by mutation
Jerome Dubois
In this paper, we prove that the Reidemeister torsion twisted by the adjoint representation, which is considered as a 1-form, on the SU(2)-character variety of a knot exterior is i…