{"id":"W1776823030","doi":"10.4310/mrl.2017.v24.n3.a11","title":"Towards generalized cohmology Schubert calculus via formal root polynomials","year":2017,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Formal group; Schubert calculus; Cohomology; Algebra over a field; Equivariant cohomology; Equivariant map; Torus; Schubert polynomial","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008567945,0.0004260243,0.0006096096,0.00210811,0.001170207,0.002181617,0.0007776968,0.0006405715,0.002498983],"category_scores_gemma":[0.001999691,0.0002206772,0.0005211502,0.00110004,0.00328934,0.002856011,0.00215847,0.001438531,0.0004081634],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001142176,"about_ca_system_score_gemma":0.0007138532,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001278376,"about_ca_topic_score_gemma":0.001267367,"domain_scores_codex":[0.9996152,0.00009308608,0.00001478146,0.00005828223,0.0001387667,0.00007981231],"domain_scores_gemma":[0.9996195,0.0001077737,0.00004712034,0.00005733743,0.00009015318,0.00007806648],"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":[0.000006883557,0.000009386553,0.0002342636,0.00001509208,0.000002096545,0.00007396175,0.0001663064,0.0007471308,0.0005598191,0.9940825,0.000216854,0.003885779],"study_design_scores_gemma":[0.000009162997,0.00001946953,0.0002509117,0.00001313316,0.000005626712,0.0001138949,0.0001748794,0.01415367,0.00111095,0.9814936,0.002641438,0.00001341356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6526343,0.00084253,0.2871832,0.00121827,0.0003155466,0.0000847429,0.0001181693,0.0003526342,0.05725062],"genre_scores_gemma":[0.9563954,0.0004170826,0.03609153,0.0001904184,0.0001890045,0.0000330274,0.00005362875,0.00007363869,0.006556167],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002498983,"threshold_uncertainty_score":0.008359909,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1527789244888419,"score_gpt":0.4526209609350902,"score_spread":0.2998420364462483,"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."}}