Add to ORKGAbstract. We introduce a strong notion of quasiconvexity in finitely generated groups, which we call stability. Stability agrees with quasiconvexity in hyperbolic groups and is preserved under quasi-isometry for finitely generated groups. We show that the stable subgroups of mapping class groups are precisely the convex cocompact subgroups. This generalizes a well-known result of Behrstock [Beh06] and is related to questions asked by Farb-Mosher [FM02] and Farb [Far06]. 1
Abstract. In the vein of Bonfert-Taylor, Bridgeman, Canary, and Taylor we introduce the notion of qu...
Abstract. We show that any infinite order element g of a virtually cyclic hyperbolically embedded su...
H is called aG-subgroup of a hyperbolic group G if for any finite subset M ⊂ G there exists a homomo...
We characterize convex cocompact subgroups of mapping class groups that arise as subgroups of specia...
For a word-hyperbolic group G, the notion of quasiconvexity of a finitely generated subgroup H of G ...
Stable subgroups and the Morse boundary are two systematic approaches to collect and study the hyper...
In this talk, I will discuss some results concerning convex cocompact subgroups of the projective li...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
International audienceWe introduce the notions of geometric height and graded (geometric) relative h...
We develop a theory of convex cocompact subgroups of the mapping class group MCG of a closed, orient...
Abstract. We lay the foundations for the study of relatively quasi-convex subgroups of relatively hy...
There is a forgetful map from the mapping class group of a punctured surface to that of the surface ...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
An interesting question about quasiconvexity in a hyperbolic group concerns finding classes of quasi...
Abstract. In the vein of Bonfert-Taylor, Bridgeman, Canary, and Taylor we introduce the notion of qu...
Abstract. We show that any infinite order element g of a virtually cyclic hyperbolically embedded su...
H is called aG-subgroup of a hyperbolic group G if for any finite subset M ⊂ G there exists a homomo...
We characterize convex cocompact subgroups of mapping class groups that arise as subgroups of specia...
For a word-hyperbolic group G, the notion of quasiconvexity of a finitely generated subgroup H of G ...
Stable subgroups and the Morse boundary are two systematic approaches to collect and study the hyper...
In this talk, I will discuss some results concerning convex cocompact subgroups of the projective li...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
International audienceWe introduce the notions of geometric height and graded (geometric) relative h...
We develop a theory of convex cocompact subgroups of the mapping class group MCG of a closed, orient...
Abstract. We lay the foundations for the study of relatively quasi-convex subgroups of relatively hy...
There is a forgetful map from the mapping class group of a punctured surface to that of the surface ...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
An interesting question about quasiconvexity in a hyperbolic group concerns finding classes of quasi...
Abstract. In the vein of Bonfert-Taylor, Bridgeman, Canary, and Taylor we introduce the notion of qu...
Abstract. We show that any infinite order element g of a virtually cyclic hyperbolically embedded su...
H is called aG-subgroup of a hyperbolic group G if for any finite subset M ⊂ G there exists a homomo...