{"id":"W2953109774","doi":"10.48550/arxiv.math/0308135","title":"Lie theory and the Chern-Weil homomorphism","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Homomorphism; Chern–Weil homomorphism; Pure mathematics; Cohomology; Graded Lie algebra; Connection (principal bundle); Algebra over a field; Algebra homomorphism; Cyclic homology; Lie algebra; Equivariant cohomology; De Rham cohomology","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002527734,0.0004615873,0.0008297302,0.00007177237,0.0002631003,0.00003776935,0.0006886711,0.0009075247,0.000985199],"category_scores_gemma":[0.001634469,0.0003174703,0.0002405266,0.00008364209,0.001763096,0.00003523149,0.0008185873,0.001629835,0.0003090604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000465409,"about_ca_system_score_gemma":0.0001517841,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000323903,"about_ca_topic_score_gemma":0.00002478473,"domain_scores_codex":[0.9966871,0.001472889,0.0005359023,0.000647231,0.0001819584,0.0004749267],"domain_scores_gemma":[0.995656,0.002461433,0.0003638377,0.001337695,0.00007645484,0.0001046362],"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":[0.000149443,0.0001267844,0.01071483,0.0001523175,0.0004347435,0.00008821733,0.002369598,4.721547e-7,0.00003790156,0.9819477,0.003467488,0.0005104786],"study_design_scores_gemma":[0.001258404,0.0000386485,0.005550794,0.00006127723,0.0003116088,0.0001727136,0.0002721308,0.000004408839,0.0003117203,0.9878313,0.003825356,0.0003616494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9705952,0.002519345,0.001018745,0.003528901,0.001372775,0.0007020677,0.00001635441,0.0001660277,0.02008058],"genre_scores_gemma":[0.9837744,0.0006024914,0.0005545027,0.002118697,0.0003491963,0.0002430265,0.00001139549,0.00007501196,0.01227127],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0131792,"threshold_uncertainty_score":0.9999281,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05235431728203014,"score_gpt":0.3043935173708799,"score_spread":0.2520392000888498,"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."}}