{"id":"W2342796914","doi":"10.48550/arxiv.1602.01715","title":"Loop equations from differential systems","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Principal bundle; Loop (graph theory); Riemann surface; Pure mathematics; Lie algebra; Loop algebra; Algebra over a field; Fiber bundle; Differential equation; Virasoro algebra; Mathematical physics; Bundle; Mathematical analysis; Combinatorics; Current algebra; Algebra representation; Line bundle","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":[0.000792011,0.0004639249,0.0004785816,0.001133038,0.001018289,0.001591988,0.0006802204,0.001053495,0.007871544],"category_scores_gemma":[0.00335789,0.0002445357,0.0008101958,0.0006379742,0.002125063,0.003731123,0.002132608,0.001762046,0.000604125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001429326,"about_ca_system_score_gemma":0.0006129129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00159026,"about_ca_topic_score_gemma":0.001176796,"domain_scores_codex":[0.9995452,0.0001167165,0.00002533839,0.0000824169,0.0001552939,0.00007503429],"domain_scores_gemma":[0.9990411,0.000360743,0.0001262098,0.0001057958,0.0002370052,0.0001291137],"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":[0.000003201166,0.000005066282,0.0001102948,0.00001246116,0.000002750815,0.00002349149,0.0001236287,0.0007698156,0.0002164912,0.9970502,0.0005271892,0.001155395],"study_design_scores_gemma":[0.000008097366,0.000009491396,0.0001398554,0.000007563153,0.000002047625,0.00004410941,0.00003632765,0.01068403,0.0001520683,0.9861688,0.002742504,0.000005179641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.3884062,0.002667366,0.3700497,0.004661775,0.0005980191,0.0001518667,0.0007171108,0.0005561083,0.2321918],"genre_scores_gemma":[0.921828,0.001183406,0.03280468,0.001292825,0.0006334907,0.0001637581,0.0005008616,0.0002261548,0.04136682],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.007871544,"threshold_uncertainty_score":0.02633291,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1519709364675073,"score_gpt":0.2385811666687982,"score_spread":0.08661023020129088,"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."}}