{"paper":{"title":"Arc representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Salom\\'on Dom\\'inguez","submitted_at":"2017-09-25T21:22:23Z","abstract_excerpt":"This paper was inspired by four articles: surface cluster algebras studied by Fomin-Shapiro-Thurston \\cite{fst}, the mutation theory of quivers with potentials initiated by Derksen-Weyman-Zelevinsky \\cite{dwz}, string modules associated to arcs on unpunctured surfaces by Assem-Br$\\ddot{u}$stle-Charbonneau-Plamondon \\cite{acbp} and Quivers with potentials associated to triangulated surfaces, part II: Arc representations by Labardini-Fragoso. \\cite{lf2}. For a surface with marked points ($\\Sigma,M$) Labardini-Fragoso associated a quiver with potential $(Q(\\tau),S(\\tau))$ then for an ideal triang"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09521","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"}