4 papers · 1 filter
Surprising circles in Morse boundaries of right-angled Coxeter groups
Marius Graeber, Annette Karrer, Nir Lazarovich +1
We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining…
Cannon--Thurston maps for CAT(0) groups with isolated flats
Benjamin Beeker, Matthew Cordes, Giles Gardam +2
Mahan Mitra (Mj) proved Cannon--Thurston maps exist for normal hyperbolic subgroups of a hyperbolic group. We prove that Cannon--Thurston maps do not exist for infinite normal hype…
Nonplanar graphs in boundaries of CAT(0) groups
Kevin Schreve, Emily Stark
Croke and Kleiner constructed two homeomorphic locally CAT(0) complexes whose universal covers have visual boundaries that are not homeomorphic. We construct two homeomorphic local…
The visual boundary of hyperbolic free-by-cyclic groups
Yael Algom-Kfir, Arnaud Hilion, Emily Stark
Let be an atoroidal outer automorphism of the free group . We study the Gromov boundary of the hyperbolic group . We explicitly describe a…