{"id":"W1707678590","doi":"10.5802/alco.14","title":"Equivariant quantum cohomology of the Grassmannian via the rim hook rule","year":2018,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Waterloo; National Science Foundation","keywords":"Schubert calculus; Mathematics; Grassmannian; Modulo; Equivariant map; Pure mathematics; Quantum cohomology; Hook; Generalized flag variety; Quantum; Generalization; Cohomology; Equivariant cohomology; Algebra over a field; Combinatorics; Discrete mathematics; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00178194,0.0009415851,0.00151929,0.0001707678,0.0005176766,0.00009448345,0.004317073,0.0009819336,0.0001168605],"category_scores_gemma":[0.003214622,0.0006087858,0.0007305351,0.000781436,0.001087965,0.00009845823,0.005587294,0.002137791,0.00008319314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000427299,"about_ca_system_score_gemma":0.0006054366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007663876,"about_ca_topic_score_gemma":0.00001250832,"domain_scores_codex":[0.9943596,0.0007773773,0.001692653,0.0009065773,0.001340612,0.0009232495],"domain_scores_gemma":[0.9888176,0.002840471,0.002399834,0.004934092,0.0008306083,0.000177374],"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":[0.00002159783,0.0005858381,0.0002163885,0.0007029884,0.0003241155,0.00001309371,0.00117272,0.000009052373,0.000101506,0.9870893,0.00962094,0.0001424171],"study_design_scores_gemma":[0.0008052599,0.0001894051,0.0002748542,0.0003669396,0.0004860086,0.00005023495,0.00009945296,0.0009167011,0.001940559,0.9928427,0.001385207,0.0006427231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8181568,0.002156358,0.07103947,0.007093278,0.07183372,0.00987141,0.0002212133,0.001255722,0.01837196],"genre_scores_gemma":[0.9956482,0.00005588681,0.002020821,0.0001812006,0.0005814138,0.000251173,0.00001561961,0.0002446442,0.001001055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1774913,"threshold_uncertainty_score":0.9996364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03976674470588119,"score_gpt":0.3070296954965279,"score_spread":0.2672629507906467,"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."}}