1 citations · 1 across the 4 of their papers we have counts for
6 papers
Multiplicity of non-acyclic -representations and L-functions of the odd-twisted Whitehead links
Léo Bénard, Ryoto Tange, Anh T. Tran +1
We study the divisor of the Reidemeister torsion on the variety of irreducible -characters of certain knots and links, and provide a geometric interpretation…
Combinatorial zeta functions counting triangles
Léo Bénard, Yann Chaubet, Nguyen Viet Dang +1
In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n-1)-skeleton of a triangulation of a n-dimensional manifold. We sh…
The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion
Léo Bénard, Jan Frahm, Polyxeni Spilioti
Let be a compact hyperbolic surface with finite order singularities, its unit tangent bundle. We consider the Ruelle zeta function associated to a representation…
Twisted -torsion on the character variety
Léo Bénard, Jean Raimbault
We define a twisted -torsion on the character variety of 3-manifold and study some of its properties. In the case where is hyperbolic of finite volume, we prove that t…
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…
A multivariable Casson-Lin type invariant
Léo Bénard, Anthony Conway
We introduce a multivariable Casson-Lin type invariant for links in . This invariant is defined as a signed count of irreducible representations of the…