{"paper":{"title":"Right-angled Artin groups on finite subgraphs of disk graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Erika Kuno","submitted_at":"2015-12-09T04:09:41Z","abstract_excerpt":"Koberda proved that if a graph $\\Gamma$ is a full subgraph of a curve graph $\\mathcal{C}(S)$ of an orientable surface $S$, then the right-angled Artin group $A(\\Gamma)$ on $\\Gamma$ is a subgroup of the mapping class group ${\\rm Mod}(S)$ of $S$. On the other hand, for a sufficiently complicated surface $S$, Kim-Koberda gave a graph $\\Gamma$ which is not contained in $\\mathcal{C}(S)$, but $A(\\Gamma)$ is a subgroup of ${\\rm Mod}(S)$. In this paper, we prove that if $\\Gamma$ is a full subgraph of a disk graph $\\mathcal{D}(H)$ of a handlebody $H$, then $A(\\Gamma)$ is a subgroup of the handlebody gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02745","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}