{"paper":{"title":"Quantum character varieties and braided module categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.QA","authors_text":"Adrien Brochier, David Ben-Zvi, David Jordan","submitted_at":"2016-06-15T14:04:42Z","abstract_excerpt":"We compute quantum character varieties of arbitrary closed surfaces with boundaries and marked points. These are categorical invariants $\\int_S\\mathcal A$ of a surface $S$, determined by the choice of a braided tensor category $\\mathcal A$, and computed via factorization homology.\n  We identify the algebraic data governing marked points and boundary components with the notion of a {\\em braided module category} for $\\mathcal A$, and we describe braided module categories with a generator in terms of certain explicit algebra homomorphisms called {\\em quantum moment maps}. We then show that the qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04769","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"}