Add to ORKG12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups that act properly and even cocompactly on median graphs (a.k.a. one-skeleta of CAT(0) cube complexes), with quasi-isometric groups that do not admit any proper action on a median graph. This answers a question of Niblo, Sageev and Wise. Our examples are all quasi-isometrically trivial central extensions of certain cubulated groups
We study obstructions to group actions on CAT(0) cube complexes. Firstly, we are interested in the o...
We study lattices acting on $\textrm{CAT}(0)$ spaces via their commensurated subgroups. To do this w...
We prove two versions of the marked length-spectrum rigidity conjecture for a large class of non-pos...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
We prove that any group acting essentially without a fixed point at infinity on an irreducible finit...
In this paper, we prove that certain spaces are not quasi-isometric to Cayley graphs of nitely gener...
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that a...
This MPhil thesis explores groups acting on CAT(0)-cube complexes X- in particular, non-uniform latt...
We define a bounded cohomology class, called the median class, in the second bounded cohomology, wit...
In this thesis we study finite covers of graphs, cube complexes and related spaces, and explore appl...
We define a bounded cohomology class, called the {\em median class}, in the second bounded cohomolog...
We study the geometry of median graphs and CAT(0) cube complexes by introducing two combinatorial ob...
It is proved that the mapping class group of any closed surface with finitely many marked points is ...
We define the intersection complex for the universal cover of a compact weakly special square comple...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
We study obstructions to group actions on CAT(0) cube complexes. Firstly, we are interested in the o...
We study lattices acting on $\textrm{CAT}(0)$ spaces via their commensurated subgroups. To do this w...
We prove two versions of the marked length-spectrum rigidity conjecture for a large class of non-pos...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
We prove that any group acting essentially without a fixed point at infinity on an irreducible finit...
In this paper, we prove that certain spaces are not quasi-isometric to Cayley graphs of nitely gener...
In ‘Groups acting on connected cubes and Kazhdan’s property T’, [29], Niblo and Roller showed that a...
This MPhil thesis explores groups acting on CAT(0)-cube complexes X- in particular, non-uniform latt...
We define a bounded cohomology class, called the median class, in the second bounded cohomology, wit...
In this thesis we study finite covers of graphs, cube complexes and related spaces, and explore appl...
We define a bounded cohomology class, called the {\em median class}, in the second bounded cohomolog...
We study the geometry of median graphs and CAT(0) cube complexes by introducing two combinatorial ob...
It is proved that the mapping class group of any closed surface with finitely many marked points is ...
We define the intersection complex for the universal cover of a compact weakly special square comple...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
We study obstructions to group actions on CAT(0) cube complexes. Firstly, we are interested in the o...
We study lattices acting on $\textrm{CAT}(0)$ spaces via their commensurated subgroups. To do this w...
We prove two versions of the marked length-spectrum rigidity conjecture for a large class of non-pos...