32 citations · 67 across the 7 of their papers we have counts for
4 papers · 1 filter
An infinite clique of high-filling rays in the plane minus a Cantor set
Juliette Bavard
The study of the mapping class group of the plane minus a Cantor set uses a graph of loops, which is an analogous of the curve graph in the study of mapping class groups of compact…
Two simultaneous actions of big mapping class groups
Juliette Bavard, Alden Walker
We study two actions of big mapping class groups. The first is an action by isometries on a Gromov-hyperbolic graph. The second is an action by homeomorphisms on a circle in which…
Gromov-Hyperbolicity of the ray graph and quasimorphisms on a big mapping class group
Juliette Bavard
These notes are the English version of the paper "Hyperbolicité du graphe des rayons et quasi-morphismes sur un gros groupe modulaire". The mapping class group Gamma of the complem…
The Gromov boundary of the ray graph
Juliette Bavard, Alden Walker
The ray graph is a Gromov hyperbolic graph on which the mapping class group of the plane minus a Cantor set acts by isometries. We give a description of the Gromov boundary of the…