{"id":"W4404952599","doi":"10.1090/tran/9358","title":"Cohomology of complete unordered flag manifolds","year":2024,"lang":"lv","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; University of British Columbia","funders":"","keywords":"Flag (linear algebra); Mathematics; Cohomology; Pure mathematics; Algebra over a field","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","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.001135961,0.001130943,0.003784118,0.0001345932,0.0002913321,0.00005584884,0.002459446,0.0005989995,0.0007256609],"category_scores_gemma":[0.0004598322,0.0008792465,0.003959756,0.001473219,0.004407279,0.00007062508,0.0008814141,0.002520122,0.000184285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004220085,"about_ca_system_score_gemma":0.0004863897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001604916,"about_ca_topic_score_gemma":0.00001285254,"domain_scores_codex":[0.9930654,0.0005078404,0.003149315,0.0009598263,0.001425214,0.000892412],"domain_scores_gemma":[0.9888799,0.003713286,0.003252544,0.003351794,0.0005644151,0.0002381302],"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":[0.0002398884,0.005915489,0.00002183356,0.05321955,0.009261556,0.00001032608,0.02168389,0.00263503,0.01431004,0.8867247,0.00288377,0.003093966],"study_design_scores_gemma":[0.0006577998,0.00036865,0.00002353575,0.002504869,0.00349147,0.00006392389,0.003588075,0.01534093,0.004661782,0.9683539,0.0002049016,0.0007401597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2069363,0.0005811551,0.7726913,0.003145286,0.00291992,0.004620716,0.001693476,0.0005025951,0.00690921],"genre_scores_gemma":[0.7981538,0.0003669889,0.1985836,0.00009743527,0.0001705099,0.0002109359,0.000009556868,0.0003245483,0.002082627],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5912175,"threshold_uncertainty_score":0.9997811,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03221715423677306,"score_gpt":0.3073905653212964,"score_spread":0.2751734110845234,"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."}}