{"id":"W1975086002","doi":"10.1016/j.ansens.2004.11.004","title":"Lie theory and the Chern–Weil homomorphism","year":2005,"lang":"fr","type":"article","venue":"Annales Scientifiques de l École Normale Supérieure","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Chern–Weil homomorphism; Connection (principal bundle); Cohomology; Homomorphism; Pure mathematics; Lie algebra; Algebra over a field; Cyclic homology; Chern class; Graded Lie algebra; Algebra homomorphism; Equivariant cohomology; De Rham cohomology; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.006770381,0.0005342542,0.0007002444,0.0001662494,0.0009516016,0.0003392655,0.0009781121,0.0007262611,0.002965122],"category_scores_gemma":[0.001162232,0.0004261638,0.0003380745,0.0004373663,0.007394317,0.0005642605,0.0005232485,0.001113178,0.0008997571],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001089685,"about_ca_system_score_gemma":0.0003502017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001118016,"about_ca_topic_score_gemma":0.001145158,"domain_scores_codex":[0.9941997,0.002569449,0.0007602713,0.0007639715,0.00040558,0.001301029],"domain_scores_gemma":[0.9956749,0.002283415,0.0003331658,0.001042735,0.0003045025,0.000361299],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0003700275,0.0003930558,0.001050183,0.0002899283,0.0002314043,0.00016471,0.02118019,0.00003247421,0.0001862974,0.8969234,0.06070836,0.01847],"study_design_scores_gemma":[0.002302392,0.0001545963,0.000848758,0.0002496215,0.0004138908,0.001945083,0.002276378,0.001950104,0.003888406,0.4149066,0.57043,0.0006341887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8069152,0.067335,0.005567713,0.0774747,0.002752169,0.001251344,0.0001463503,0.0002682016,0.03828929],"genre_scores_gemma":[0.62528,0.003619048,0.003808561,0.01124527,0.001786899,0.0001709949,0.00002825965,0.00009211287,0.3539688],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5097216,"threshold_uncertainty_score":0.9998782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02116772531934565,"score_gpt":0.2829164594951047,"score_spread":0.2617487341757591,"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."}}