{"id":"W3084218807","doi":"10.4153/s000843952100031x","title":"Every symplectic manifold is a (linear) coadjoint orbit","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Symplectomorphism; Symplectic manifold; Moment map; Symplectic geometry; Pure mathematics; Symplectic representation; Symplectic group; Symplectic vector space; Symplectic matrix; Orbit (dynamics); Manifold (fluid mechanics)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003377638,0.0002763773,0.0003473205,0.0008428054,0.001554909,0.001417424,0.0003162957,0.0003362601,0.003998039],"category_scores_gemma":[0.0005653144,0.0002093668,0.0003290949,0.0003894554,0.00350937,0.001341862,0.002469932,0.0007751184,0.0005589214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005252613,"about_ca_system_score_gemma":0.0004106784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005855277,"about_ca_topic_score_gemma":0.00027044,"domain_scores_codex":[0.9996173,0.00003620764,0.00001825868,0.0001202913,0.0001353517,0.00007249262],"domain_scores_gemma":[0.9994761,0.00006988308,0.0001066088,0.00007007796,0.0001153626,0.0001619425],"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":[0.00006124575,0.00005487668,0.002514366,0.00006567115,0.00002858402,0.0004327394,0.001277667,0.0008276413,0.01599262,0.9667767,0.0006608754,0.01130701],"study_design_scores_gemma":[0.00006647344,0.0003851246,0.009511255,0.0000369791,0.00006206918,0.001558165,0.001607218,0.01295245,0.02144199,0.9185584,0.03377596,0.00004386538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9012418,0.0003078922,0.06274311,0.0005755668,0.000125503,0.00004765292,0.00007257207,0.0002147623,0.03467113],"genre_scores_gemma":[0.9911903,0.00008559975,0.003037753,0.00005290215,0.00006416807,0.00001386865,0.0000371674,0.00001453403,0.005503656],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003998039,"threshold_uncertainty_score":0.01337481,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05394790542017383,"score_gpt":0.2800317658485746,"score_spread":0.2260838604284008,"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."}}