{"paper":{"title":"Abelian link invariants and homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Enore Guadagnini, Francesco Mancarella","submitted_at":"2010-04-29T07:40:00Z","abstract_excerpt":"We consider the link invariants defined by the quantum Chern-Simons field theory with compact  gauge group U(1) in a closed oriented 3-manifold M. The relation of the abelian link  invariants with  the homology group of the complement of the links is discussed.  We prove that, when M is a homology sphere or when  a link -in a generic manifold M- is homologically trivial, the associated observables coincide with the observables of the sphere S^3.  Finally we show that the U(1) Reshetikhin-Turaev surgery invariant of the manifold  M  is not a function of  the homology group only, nor a function "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5211","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"}