Zobrazeno 1 - 10
of 397
pro vyhledávání: '"Hagen, Mark"'
We show that quasi-isometries of (well-behaved) hierarchically hyperbolic groups descend to quasi-isometries of their maximal hyperbolic space. This has two applications, one relating to quasi-isometry invariance of acylindrical hyperbolicity, and th
Externí odkaz:
http://arxiv.org/abs/2309.07013
The combinatorial hierarchical hyperbolicity criterion is a very useful way of constructing new hierarchically hyperbolic spaces (HHSs). We show that, conversely, HHSs satisfying natural assumptions (satisfied, for example, by mapping class groups) a
Externí odkaz:
http://arxiv.org/abs/2308.16335
We show that infinite cyclic subgroups of groups acting uniformly metrically properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions
Externí odkaz:
http://arxiv.org/abs/2305.09742
A finite-dimensional CAT(0) cube complex $X$ is equipped with several well-studied boundaries. These include the Tits boundary (which depends on the CAT(0) metric), the Roller boundary (which depends only on the combinatorial structure), and the simp
Externí odkaz:
http://arxiv.org/abs/2303.06932
Behrstock, Hagen, and Sisto classified 3-manifold groups admitting a hierarchically hyperbolic space structure. However, these structures were not always equivariant with respect to the group. In this paper, we classify 3-manifold groups admitting eq
Externí odkaz:
http://arxiv.org/abs/2206.12244
Autor:
Hagen, Mark, Sisto, Alessandro
Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact subgroups that are free of arbitrary finite rank, while prior examples
Externí odkaz:
http://arxiv.org/abs/2206.11084
We show that Artin groups of extra-large type, and more generally Artin groups of large and hyperbolic type, are hierarchically hyperbolic. This implies in particular that these groups have finite asymptotic dimension and uniform exponential growth.
Externí odkaz:
http://arxiv.org/abs/2109.04387
Autor:
Hagen, Mark, Petyt, Harry
We use the projection complex machinery of Bestvina--Bromberg--Fujiwara to study hierarchically hyperbolic groups. In particular, we show that if the group has a BBF colouring and its associated hyperbolic spaces are quasiisometric to trees, then the
Externí odkaz:
http://arxiv.org/abs/2108.13232
Publikováno v:
In Transportation Research Procedia 2024 76:70-80
