Alexander Elzenaar

collaborators

4 papers

math.GT2025

Peripheral subgroups of Kleinian groups

Alex Elzenaar

The conformal boundary of a hyperbolic $3$ -manifold $M$ is a union of Riemann surfaces. If any of these Riemann surfaces has a nontrivial Teichmüller space, then the hyperbolic met…

math.GT2025

From disc patterns in the plane to character varieties of knot groups

Alex Elzenaar

Motivated by an experimental study of groups generated by reflections in planar patterns of tangent circles, we describe some methods for constructing and studying representation s…

math.GT2024

Changing topological type of compression bodies through cone manifolds

Alex Elzenaar

Homeomorphism types of compression bodies form the vertices of a graph where two vertices are joined by an edge if one compression body is obtained by gluing a $2$ -handle onto the…

math.GR2024

On Thin Heckoid and Generalised Triangle Groups in $P S L (2, C)$ }

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in $P S L (2, C)$ . Here we give a complete list of the $55$ thin generalised triangle…

Peripheral subgroups of Kleinian groups

From disc patterns in the plane to character varieties of knot groups

Changing topological type of compression bodies through cone manifolds

On Thin Heckoid and Generalised Triangle Groups in PSL(2,C)}

On Thin Heckoid and Generalised Triangle Groups in $P S L (2, C)$ }