6 papers
Small cancellation groups with and without sigma-compact Morse boundary
Stefanie Zbinden
We provide examples of classical small-cancellation groups which have non-sigma-compact Morse boundary. These are first known examples of groups with non-sigma-compact Morse bounda…
Characterising quasi-isometries of the free group
Antoine Goldsborough, Stefanie Zbinden
We introduce the notion of mixed subtree quasi-isometries, which are self quasi-isometries of regular trees built in a specific inductive way. We then show that any self quasi-isom…
Some properties of Markov chains on the free group
Antoine Goldsborough, Stefanie Zbinden
Random walks cannot, in general, be pushed forward by quasi-isometries. Tame Markov chains were introduced as a `quasi-isometry invariant' are a generalization of random walks. In…
On the Čech cohomology of Morse boundaries
Elia Fioravanti, Annette Karrer, Alessandro Sisto +1
We consider cusped hyperbolic manifolds, and compute Čech cohomology groups of the Morse boundaries of their fundamental groups. In particular, we show that the reduced Čech co…
Morse boundaries of 3-manifold groups
Stefanie Zbinden
We classify the homeomorphism types of the Morse boundaries of all 3-manifold groups into 9 different possible homeomorphism types, and show how the Morse boundary depends on the g…
Morse boundaries of graphs of groups with finite edge groups
Stefanie Zbinden
In this paper we prove that the Morse boundary of a free product depends only on the Morse boundary of its factors. In fact, we also prove the analogous result for graphs of groups…