{"id":"W2609267997","doi":"10.1090/amsip/050/07","title":"Decomposition of Witten-Reshetikhin-Turaev invariant: Linking pairing and modular forms","year":2011,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Pairing; Invariant (physics); Modular design; Mathematics; Pure mathematics; Decomposition; Mathematical physics; Physics; Computer science; Biology; Quantum mechanics; Ecology","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001008591,0.002050206,0.001437984,0.005794247,0.001834979,0.004497131,0.001791369,0.001770742,0.01068852],"category_scores_gemma":[0.001024342,0.000854116,0.001169011,0.002333727,0.00404712,0.005720849,0.001529714,0.004184932,0.003370916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001699275,"about_ca_system_score_gemma":0.0008808987,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006403716,"about_ca_topic_score_gemma":0.0007293181,"domain_scores_codex":[0.9995277,0.00009720801,0.00002573315,0.0001209643,0.0001476289,0.00008073835],"domain_scores_gemma":[0.9996676,0.00006516328,0.00005761625,0.00004332469,0.00007952307,0.00008678455],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001453346,0.00002116961,0.0000424231,0.00003175338,0.000005376206,0.00003903603,0.0001720529,0.0003177614,0.0007510103,0.9926081,0.00122103,0.00477577],"study_design_scores_gemma":[0.000008550054,0.0000220305,0.0002077156,0.00002010529,0.0000082459,0.0001131011,0.00006923911,0.002565891,0.0003969015,0.9914849,0.005086098,0.00001719059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.2758636,0.01041264,0.2006079,0.003348619,0.003059107,0.0002142169,0.0006875354,0.0008522426,0.5049542],"genre_scores_gemma":[0.8028586,0.005696693,0.04747282,0.0009597894,0.002966203,0.000260844,0.000836019,0.0007427001,0.1382064],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01068852,"threshold_uncertainty_score":0.03575665,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09286212989737454,"score_gpt":0.3531657132326146,"score_spread":0.2603035833352401,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}