{"id":"W2963995931","doi":"10.1093/imrn/rnr002","title":"Dirac Structures and Dixmier–Douady Bundles","year":2011,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Clifford bundle; Vector bundle; Pure mathematics; Frame bundle; Vector-valued differential form; Bundle; Group (periodic table); Principal bundle; Cotangent bundle; Tautological line bundle; Morphism; Dirac (video compression format); Lie group; Normal bundle; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001863282,0.0002400357,0.0003057581,0.0005150574,0.0002843655,0.0002834548,0.001080659,0.0001245331,0.00144641],"category_scores_gemma":[0.004770932,0.000193915,0.00006834149,0.0002854814,0.0005676827,0.0005725503,0.0007476714,0.0006556981,0.0001540336],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001223383,"about_ca_system_score_gemma":0.00008246792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005492692,"about_ca_topic_score_gemma":0.00008390888,"domain_scores_codex":[0.9963188,0.0001935657,0.0005083532,0.0004561712,0.00190459,0.0006185617],"domain_scores_gemma":[0.9958402,0.002382313,0.0001399258,0.0005393196,0.000851132,0.0002471198],"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":[0.00006115546,0.0004393824,0.001897182,0.0003008389,0.0001775767,0.00005991185,0.005051321,0.000002764809,0.001067645,0.9877171,0.0008318839,0.002393272],"study_design_scores_gemma":[0.0003971775,0.000131138,0.00182877,0.0001175276,0.00001475483,0.00003195767,0.002215019,0.002416961,0.006786553,0.9846413,0.00116849,0.0002503602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9315836,0.0002471869,0.003662222,0.0005763375,0.0003141373,0.0007563865,0.00004779537,0.000168548,0.06264379],"genre_scores_gemma":[0.858346,0.00009146462,0.1390681,0.00002643281,0.0001846287,0.00008339682,0.000005378475,0.0000652424,0.002129432],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1354058,"threshold_uncertainty_score":0.9994664,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3319552987856881,"score_gpt":0.4790321793976981,"score_spread":0.14707688061201,"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."}}