103 citations · 264 across the 55 of their papers we have counts for
4 papers · 1 filter
Anti-trees and right-angled Artin subgroups of braid groups
Sang-hyun Kim, Thomas Koberda
We prove that an arbitrary right-angled Artin group admits a quasi-isometric group embedding into a right-angled Artin group defined by the opposite graph of a tree. Consequent…
An effective algebraic detection of the Nielsen--Thurston classification of mapping classes
Thomas Koberda, Johanna Mangahas
In this article, we propose two algorithms for determining the Nielsen-Thurston classification of a mapping class on a surface . We start with a finite generating set fo…
Right-angled Artin groups and finite subgraphs of curve graphs
Sang-hyun Kim, Thomas Koberda
We show that for a sufficiently simple surface , a right-angled Artin group embeds into $\Mod(S)$ if and only if embeds into the curve graph $\mC(S)$ as an induced su…
The geometry of the curve graph of a right-angled Artin group
Sang-hyun Kim, Thomas Koberda
We develop an analogy between right-angled Artin groups and mapping class groups through the geometry of their actions on the extension graph and the curve graph respectively. The…