Ilya Gekhtman

collaborators

2 papers

math.GT2023

Dynamics of subgroups of mapping class groups

Ilya Gekhtman, Biao Ma

Let $Mod (S)$ be the mapping class group of a closed orientable surface $S$ of genus $g \geq 2$ . Let $G$ be a non-elementary subgroup of $Mod (S)$ so that the associated Bo…

math.GR2022

Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space

Ilya Gekhtman, Yulan Qing, Kasra Rafi

We show that the sublinearly Morse directions in the visual boundary of a rank-1 CAT(0) space with a geometric group action are generic in several commonly studied senses of the wo…