{"id":"W3105622603","doi":"","title":"A Positive Monk Formula in the S&lt;sup&gt;1&lt;/sup&gt;-Equivariant Cohomology of Type A Peterson Varieties","year":2011,"lang":"en","type":"article","venue":"Smith ScholarWorks (Smith College)","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"National Science Foundation","keywords":"Equivariant map; Mathematics; Equivariant cohomology; Cohomology; Pure mathematics; Type (biology); Physics; Algebra over a field; Biology; Ecology","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":[0.0007822921,0.0003192693,0.0003276714,0.001185161,0.001349882,0.002493742,0.0007276679,0.000485756,0.004260581],"category_scores_gemma":[0.001194002,0.0002372513,0.0004600401,0.0005461981,0.003153996,0.003303279,0.001714479,0.001386618,0.0003920993],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090352,"about_ca_system_score_gemma":0.0006149298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008545971,"about_ca_topic_score_gemma":0.001140346,"domain_scores_codex":[0.9996055,0.0000634471,0.00001912042,0.00008564064,0.0001428359,0.00008348757],"domain_scores_gemma":[0.9995889,0.0001190926,0.00005672809,0.00004988674,0.00008976788,0.00009566254],"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":[0.00001510278,0.0000110748,0.0004319882,0.00001770812,0.000002383759,0.0001315429,0.0002545987,0.0003672036,0.001648257,0.9927981,0.000544074,0.003778011],"study_design_scores_gemma":[0.00001207931,0.00004312478,0.001785516,0.00001968606,0.00001003192,0.000386416,0.0002386805,0.01157277,0.00457818,0.9751745,0.006147638,0.00003133804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7871435,0.0004104983,0.1065899,0.001362,0.0003635934,0.00004691363,0.0001621877,0.0002858758,0.1036355],"genre_scores_gemma":[0.9781715,0.0001335707,0.008318889,0.0001758233,0.00014273,0.00002292796,0.00004426139,0.00005524407,0.01293503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004260581,"threshold_uncertainty_score":0.01425302,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03800541074355927,"score_gpt":0.2788979374428935,"score_spread":0.2408925266993342,"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."}}