31 citations · 101 across the 17 of their papers we have counts for
17 papers
On the local structure of the SL(n,C)-representation variety of knot groups
Michael Heusener, Leila Ben Abdelghani
We study the local structure of the representation variety of a knot group into SL(n,C) at certain diagonal representations. In particular we determine the tangent cone of the repr…
The scheme of characters in SL 2
Michael Heusener, Joan Porti
The aim of this article is to study the SL(2,C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group , we give equations defining 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 remark on Whitehead's Lemma
Michael Heusener, Richard Weidmann
We observe that Whitehead's lemma is an immediate consequence of Stallings folds.
Holomorphic volume forms on representation varieties of surfaces with boundary
Michael Heusener, Joan Porti
For closed and oriented hyperbolic surfaces, a formula of Witten establishes an equality between two volume forms on the space of representations of the surface in a semisimple Lie…
On high-dimensional representations of knot groups
Stefan Friedl, Michael Heusener
Given a hyperbolic knot and any the abelian representations and the holonomy representation each give rise to an -dimensional component in the $\operatorname{S…