Right-angled Artin groups and finite subgraphs of curve graphs

Sang-hyun Kim; Thomas Koberda

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arXiv · 1310.4850

Right-angled Artin groups and finite subgraphs of curve graphs

Sang-hyun Kim·Thomas Koberda

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Abstract

We show that for a sufficiently simple surface $S$, a right-angled Artin group $A(\Gamma)$ embeds into $\Mod(S)$ if and only if $\Gamma$ embeds into the curve graph $\mC(S)$ as an induced subgraph. When $S$ is sufficiently complicated, there exists an embedding $A(\Gamma)\to\Mod(S)$ for some $\Gamma$ not contained in $\mC(S)$.

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Sang-hyun Kim, Thomas Koberda. 2013-10-17. Right-angled Artin groups and finite subgraphs of curve graphs. https://arxiv.org/abs/1310.4850

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