{"id":"W2081909402","doi":"10.2140/pjm.2002.203.139","title":"Lagrangian sections and holomorphic U(1)-connections","year":2002,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibration; Mathematics; Holomorphic function; Lagrangian; Equivalence (formal languages); Pure mathematics; Torus; Hamiltonian (control theory); Mathematical physics; Mathematical analysis; Homotopy; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0008607457,0.0001636886,0.0004609843,0.0004498916,0.0001762213,0.00009190824,0.0001557993,0.0001047022,0.0006086291],"category_scores_gemma":[0.0009269373,0.0001237237,0.0002303458,0.0007403545,0.0000689208,0.0001775329,0.00002582817,0.000354726,0.00004473194],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003015311,"about_ca_system_score_gemma":0.0000112475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001506396,"about_ca_topic_score_gemma":0.000005343997,"domain_scores_codex":[0.9985535,0.00006133602,0.0006903131,0.0001131373,0.0003760572,0.0002056284],"domain_scores_gemma":[0.9981428,0.0005954808,0.0005695943,0.0002611272,0.0002779275,0.0001530178],"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":[0.00004333572,0.01213156,0.008683617,0.002377443,0.005879738,0.0005132483,0.06131157,0.0003746273,0.002686477,0.5202813,0.356939,0.02877806],"study_design_scores_gemma":[0.004205145,0.001250225,0.001036823,0.0008898475,0.004186468,0.0142148,0.0755022,0.02373601,0.0007708627,0.8018473,0.07064895,0.001711331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7944267,0.005186838,0.1427391,0.003289214,0.001010672,0.0003997603,0.00002463726,0.0001281511,0.05279497],"genre_scores_gemma":[0.9661712,0.0004728477,0.03094166,0.00002043691,0.0001921788,0.000002538228,4.623767e-7,0.00002500445,0.002173691],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.28629,"threshold_uncertainty_score":0.6664062,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04947129000719566,"score_gpt":0.2600485594035392,"score_spread":0.2105772693963435,"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."}}