{"id":"W2097040859","doi":"10.1016/j.top.2004.01.001","title":"A polar de Rham theorem","year":2004,"lang":"en","type":"article","venue":"Topology","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Royal Society","keywords":"Mathematics; Pure mathematics; Cohomology; Complexification; De Rham cohomology; Homology (biology); Polar; Cyclic homology; Topology (electrical circuits); Combinatorics; Equivariant cohomology; Physics; Amino acid","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003594182,0.00008392657,0.0001436189,0.00004960654,0.0000692508,0.000004963295,0.0001516518,0.0001135612,0.001239862],"category_scores_gemma":[0.0002957212,0.00007362686,0.00005250001,0.00009392263,0.0001628046,0.0000311964,0.00004425822,0.0001361312,0.0003084558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004516152,"about_ca_system_score_gemma":0.00004575985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004574874,"about_ca_topic_score_gemma":0.00001277598,"domain_scores_codex":[0.9993543,0.0000749605,0.000120677,0.0001209341,0.00005571011,0.0002734279],"domain_scores_gemma":[0.9994451,0.0002040335,0.00003949097,0.0002370508,0.0000151918,0.0000591164],"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":[0.00001772528,0.00006348972,0.0002897192,0.00001095142,0.00001954902,0.00002563523,0.0008811548,0.000001500206,0.0003474454,0.9975951,0.0003721616,0.0003755418],"study_design_scores_gemma":[0.0003625605,0.00005957373,0.0002755547,0.00000535545,0.00001509939,0.000187338,0.0003390062,9.860648e-7,0.005205107,0.9913421,0.002124164,0.00008318042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.933068,0.00009652157,0.01377283,0.001688875,0.0001841104,0.00007478838,0.000002561778,0.000131129,0.05098115],"genre_scores_gemma":[0.9913735,0.000004641907,0.006278569,0.0007282692,0.0001358265,0.000005731332,0.000001291165,0.00001387061,0.001458268],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0583055,"threshold_uncertainty_score":0.9996731,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02109175137143412,"score_gpt":0.2972741835524251,"score_spread":0.276182432180991,"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."}}