{"paper":{"title":"Zariski density and finite quotients of mapping class groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"Louis Funar","submitted_at":"2011-06-21T10:45:32Z","abstract_excerpt":"Our main result is that the image of the quantum representation of a central extension of the mapping class group of the genus $g\\geq 3$ closed orientable surface at a prime $p\\geq 5$ is a Zariski dense discrete subgroup of some higher rank algebraic semi-simple Lie group $\\mathbb G_p$ defined over $\\Q$. As an application we find that, for any prime $p\\geq 5$ a central extension of the genus $g$ mapping class group surjects onto the finite groups $\\mathbb G_p(\\Z/q\\Z)$, for all but finitely many primes $q$. This method provides infinitely many finite quotients of a given mapping class group out"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4165","kind":"arxiv","version":3},"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"}