28 citations · 158 across the 26 of their papers we have counts for
5 papers · 1 filter
Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications
Jingyin Huang, Damian Osajda
We describe the structure of quasiflats in two-dimensio\-nal Artin groups. We rely on the notion of metric systolicity developed in our previous work. Using this weak form of non-p…
Metric systolicity and two-dimensional Artin groups
Jingyin Huang, Damian Osajda
We introduce the notion of metrically systolic simplicial complexes. We study geometric and large-scale properties of such complexes and of groups acting on them geometrically. We…
A step towards Twist Conjecture
Jingyin Huang, Piotr Przytycki
Under the assumption that a defining graph of a Coxeter group admits only twists in and is of type FC, we prove Mühlherr's Twist Conjecture.
Large-type Artin groups are systolic
Jingyin Huang, Damian Osajda
We prove that Artin groups from a class containing all large-type Artin groups are systolic. This provides a concise yet precise description of their geometry. Immediate consequenc…
Hyperfiniteness of boundary actions of cubulated hyperbolic groups
Jingyin Huang, Marcin Sabok, Forte Shinko
We show that if a hyperbolic group acts geometrically on a CAT(0) cube complex, then the induced boundary action is hyperfinite. This means that for a cubulated hyperbolic group th…