{"id":"W2397490062","doi":"10.1515/crelle-2017-0014","title":"Splitting theorems for Poisson and related structures","year":2017,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Poisson distribution; Symplectic geometry; Manifold (fluid mechanics); Mathematics; Poisson manifold; Equivariant map; Pure mathematics; Product (mathematics); Dirac (video compression format); Point (geometry); Poisson algebra; Poisson bracket; Geometry; Lie algebra; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001329982,0.0004943002,0.0004917882,0.002528135,0.001126073,0.001628647,0.0007181318,0.0007924738,0.006123191],"category_scores_gemma":[0.002083757,0.0002506088,0.0006307155,0.0006824814,0.002878685,0.004265716,0.003554895,0.001916685,0.0005222418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009080505,"about_ca_system_score_gemma":0.0002786352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005804147,"about_ca_topic_score_gemma":0.0003467356,"domain_scores_codex":[0.9992969,0.000132315,0.00004378997,0.00015094,0.0002955408,0.00008046377],"domain_scores_gemma":[0.9987589,0.0002659194,0.0002147382,0.0001365838,0.0003318722,0.0002920172],"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":[0.000009289194,0.000009245745,0.0003565274,0.00001819829,0.000006692689,0.0001387417,0.0003407531,0.0004445759,0.001120751,0.9952048,0.0003240042,0.002026458],"study_design_scores_gemma":[0.000007744055,0.00001814901,0.0004201065,0.00001250726,0.000005408614,0.0002852652,0.0002540364,0.004851681,0.0006343422,0.9911306,0.002373653,0.000006557294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7001913,0.002270219,0.1813568,0.002669812,0.0003822453,0.00007879122,0.0003243136,0.0002450636,0.1124814],"genre_scores_gemma":[0.9780641,0.000536754,0.01149874,0.0002616531,0.0002850614,0.00003460123,0.0001852907,0.00005705496,0.009076808],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006123191,"threshold_uncertainty_score":0.02048409,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04397376167006493,"score_gpt":0.3677634423266133,"score_spread":0.3237896806565484,"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."}}