{"id":"W1547345067","doi":"10.4171/jncg/198","title":"Scalar curvature for noncommutative four-tori","year":2015,"lang":"en","type":"preprint","venue":"Journal of Noncommutative Geometry","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Noncommutative geometry; Scalar curvature; Curvature; Laplace operator; Mathematics; Conformal map; Scalar (mathematics); Mathematical physics; Heat kernel; Torus; Pure mathematics; Mathematical analysis; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004322549,0.0006773901,0.0003953194,0.001188875,0.0008240765,0.001291971,0.0006061652,0.0006008678,0.002286912],"category_scores_gemma":[0.001006542,0.0002442423,0.0004622038,0.0005353091,0.002437521,0.00189375,0.00119296,0.0006264739,0.0002586322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001041342,"about_ca_system_score_gemma":0.0004162067,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001250504,"about_ca_topic_score_gemma":0.0008090505,"domain_scores_codex":[0.9997098,0.00007439378,0.00001852034,0.00005211702,0.0000987957,0.00004642723],"domain_scores_gemma":[0.9996583,0.00005676142,0.00009384921,0.00004637652,0.00005664186,0.00008803848],"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":[0.00004787205,0.00002310118,0.001021373,0.00006137439,0.0000215871,0.0005129441,0.0006454195,0.01319081,0.01370229,0.9682364,0.0004061907,0.002130499],"study_design_scores_gemma":[0.00003281406,0.00009689819,0.006199494,0.00001406816,0.00002454317,0.0007500838,0.0004454558,0.08021758,0.005170667,0.9031786,0.003801557,0.00006820969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9697454,0.000508576,0.01762519,0.0004082313,0.00009293693,0.00001581243,0.00004019165,0.00007254458,0.01149113],"genre_scores_gemma":[0.9927083,0.000238315,0.00269546,0.00005634878,0.00005041972,0.0000107031,0.00004949782,0.00003136321,0.004159685],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002286912,"threshold_uncertainty_score":0.007650495,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2014499501175673,"score_gpt":0.457841857312048,"score_spread":0.2563919071944807,"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."}}