{"id":"W2282229978","doi":"10.1007/s40062-018-0207-5","title":"Equivariant formality of isotropic torus actions","year":2018,"lang":"en","type":"preprint","venue":"Journal of Homotopy and Related Structures","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Formality; Mathematics; Torus; Equivariant map; Pure mathematics; Lie group; Maximal torus; Equivariant cohomology; Action (physics); Isotropy; Cohomology; Space (punctuation); Simply connected space; Homogeneous; Group (periodic table); Combinatorics; Lie algebra; Physics; Geometry; Computer science; Linguistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001136253,0.001017703,0.001023078,0.002787359,0.001852786,0.004020658,0.001215704,0.001293313,0.01119812],"category_scores_gemma":[0.00266507,0.0005559045,0.0008018047,0.001221851,0.003689158,0.006668707,0.003703949,0.002442671,0.00122281],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001245824,"about_ca_system_score_gemma":0.0006633451,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009570969,"about_ca_topic_score_gemma":0.0008523136,"domain_scores_codex":[0.9986507,0.0002517916,0.00008225916,0.0003287976,0.0003767847,0.0003096389],"domain_scores_gemma":[0.9985103,0.0003468279,0.0002381575,0.0002035935,0.000334814,0.0003662755],"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":[0.0000217705,0.00001771763,0.0001891421,0.00001242425,0.00000445784,0.00007278445,0.0001952594,0.0002057185,0.0005743357,0.9964,0.0004105556,0.001895763],"study_design_scores_gemma":[0.00001458076,0.00001343761,0.0002049978,0.000005712115,0.000007057565,0.0001039879,0.0001067062,0.001467468,0.0003703252,0.9959586,0.001737651,0.000009487858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7005783,0.001091196,0.1054756,0.003150712,0.0008037052,0.00006258317,0.000451946,0.0005002579,0.1878858],"genre_scores_gemma":[0.9732521,0.0003715033,0.004773246,0.0002710779,0.0004732648,0.00002862477,0.0002146929,0.0001565627,0.02045886],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01119812,"threshold_uncertainty_score":0.03746146,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04086274685417794,"score_gpt":0.3423724353213258,"score_spread":0.3015096884671479,"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."}}