{"id":"W2607611583","doi":"10.1090/crmp/037/26","title":"On a trigonometric analogue of Atiyah–Hitchin bracket","year":2004,"lang":"en","type":"article","venue":"CRM proceedings & lecture notes","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Poisson bracket; Mathematics; Symplectic geometry; Bracket; Rational function; Pure mathematics; Poisson manifold; Degree (music); Poisson algebra; Space (punctuation); Mathematical analysis; Physics; Lie algebra","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":[0.0008704636,0.0005573462,0.0007527357,0.001794037,0.001297439,0.001684537,0.0008519333,0.0009990286,0.005890867],"category_scores_gemma":[0.001635383,0.0002230541,0.0004835701,0.001553937,0.003021579,0.002802054,0.001418162,0.001421421,0.001047284],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008586122,"about_ca_system_score_gemma":0.0005449877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006709916,"about_ca_topic_score_gemma":0.0003594548,"domain_scores_codex":[0.9993089,0.0002152979,0.00003083807,0.0001059801,0.0002602621,0.00007860798],"domain_scores_gemma":[0.9994534,0.0001320368,0.00009460142,0.00005188414,0.0001291222,0.0001389803],"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":[0.000009614035,0.000009222056,0.0001000615,0.0000137447,0.000002904822,0.000118746,0.0001782704,0.000606384,0.0007832953,0.9950453,0.0005598236,0.002572572],"study_design_scores_gemma":[0.000004162831,0.00002069571,0.0002063119,0.000007970162,0.000002042387,0.0001619359,0.00006275646,0.005607344,0.0002075747,0.9910733,0.002637347,0.000008533174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.594154,0.004699979,0.2001304,0.005455322,0.001595825,0.00008346629,0.0003138053,0.0002437618,0.1933234],"genre_scores_gemma":[0.9525809,0.001568869,0.01580867,0.0007866304,0.001158039,0.00004552149,0.0001436833,0.00009270579,0.02781513],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005890867,"threshold_uncertainty_score":0.01970696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03538039130842587,"score_gpt":0.3098789579867582,"score_spread":0.2744985666783324,"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."}}