Annette Karrer

activity

20152021

collaborators

4 papers

math.GT2021

Right-angled Coxeter groups with totally disconnected Morse boundaries

Annette Karrer

This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by examining how the Morse boundary…

math.GT2020

Surprising circles in Morse boundaries of right-angled Coxeter groups

Marius Graeber, Annette Karrer, Nir Lazarovich +1

We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining…

math.GR2018

The triangle groups (2,4,5) and (2,5,5) are not systolic

Annette Karrer, Petra Schwer, Koen Struyve

In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups $(2, 4, 5)$ and $(2, 5, 5)$ are not systolic. Along the way we prove some…

cs.DS2015

Simultaneous Embedding: Edge Orderings, Relative Positions, Cutvertices

Thomas Bläsius, Annette Karrer, Ignaz Rutter

A simultaneous embedding (with fixed edges) of two graphs $G^{1}$ and $G^{2}$ with common graph $G = G^{1} \cap G^{2}$ is a pair of planar drawings of $G^{1}$ and $G^{2}$ that coincide on $G$ . I…