4 papers · 1 filter
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…