{"id":"W4210694690","doi":"10.1093/imrn/rnac044","title":"The Basic de Rham Complex of a Singular Foliation","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Foliation (geology); Mathematics; Submanifold; Quotient; Isomorphism (crystallography); Pure mathematics; Dimension (graph theory); Manifold (fluid mechanics); Differential form; Riemannian manifold; Mathematical analysis","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":[0.0003015228,0.0004997777,0.0004364409,0.001589708,0.001714137,0.002199841,0.0004256449,0.00109396,0.007384522],"category_scores_gemma":[0.0006685105,0.0003025903,0.0003277924,0.0004236076,0.002193412,0.001739354,0.002283246,0.0009743836,0.0007974067],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00146076,"about_ca_system_score_gemma":0.000294076,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001685878,"about_ca_topic_score_gemma":0.0009812275,"domain_scores_codex":[0.9995657,0.0000411753,0.00001698839,0.00009613039,0.0001612822,0.0001186407],"domain_scores_gemma":[0.999757,0.00002514576,0.00003786479,0.00002270673,0.0000397988,0.0001174452],"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":[0.00003992808,0.00003073826,0.0008173081,0.00002517911,0.00001096316,0.0006091355,0.0008960067,0.0007548624,0.01105329,0.9808424,0.0008775915,0.004042564],"study_design_scores_gemma":[0.00004631762,0.0001239704,0.003687358,0.00003652791,0.00001879837,0.001337868,0.001054714,0.01400078,0.00971911,0.9474422,0.02248351,0.00004883096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9191483,0.0003198226,0.02221684,0.0007596718,0.0001719466,0.00005126692,0.0001482038,0.0001432959,0.0570406],"genre_scores_gemma":[0.987231,0.00006609156,0.00284181,0.0000956366,0.00004769831,0.00001254427,0.00007718668,0.00003188143,0.009596149],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007384522,"threshold_uncertainty_score":0.02470362,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1753651871755436,"score_gpt":0.4526309482694219,"score_spread":0.2772657610938783,"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."}}