{"id":"W848247811","doi":"10.5802/aif.3066","title":"Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics","year":2016,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Symplectic geometry; Mathematics; Pure mathematics; Symplectomorphism; Ideal (ethics); Symplectic representation; Moment map; Simple (philosophy); Hamiltonian system; Hamiltonian (control theory); Graph; Morse code; Symplectic matrix; Mathematical analysis; Computer science; Discrete mathematics; Mathematical optimization","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005183652,0.0003824779,0.00105298,0.0003807078,0.00007571675,0.00001812818,0.0003973857,0.0005044657,0.0001135196],"category_scores_gemma":[0.001023552,0.0003075624,0.0002207946,0.0001956826,0.0008390521,0.00006223141,0.0006877625,0.0004157547,0.000007419244],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006623925,"about_ca_system_score_gemma":0.0002890182,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001041203,"about_ca_topic_score_gemma":0.0001011725,"domain_scores_codex":[0.9978666,0.0001121147,0.000789532,0.0004524872,0.000353884,0.0004254309],"domain_scores_gemma":[0.9975271,0.0006585951,0.0007888683,0.0006572554,0.0002166907,0.0001515306],"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":[0.0002559662,0.0009295231,0.04821711,0.007713841,0.002229794,0.0002731382,0.003564335,0.0006947755,0.001922311,0.9210432,0.005267609,0.007888384],"study_design_scores_gemma":[0.00112113,0.0002746154,0.008293593,0.001018715,0.0005279169,0.0002498556,0.0001200861,0.00243576,0.002005434,0.9820919,0.001192026,0.0006689411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.98623,0.001914739,0.007061283,0.0005722792,0.0004386483,0.000375232,0.0002043712,0.00005288812,0.003150611],"genre_scores_gemma":[0.9942703,0.0007012729,0.004295165,0.00003663844,0.00009917832,0.0000150824,0.00001927892,0.00004299045,0.0005200473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06104871,"threshold_uncertainty_score":0.9999377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03770055559003964,"score_gpt":0.2942848923969901,"score_spread":0.2565843368069505,"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."}}