{"id":"W3176265087","doi":"10.1017/fmp.2023.10","title":"On the Torelli Lie algebra","year":2023,"lang":"en","type":"preprint","venue":"Forum of Mathematics Pi","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Homomorphism; Kernel (algebra); Pure mathematics; Lie algebra; Genus; Algebra over a field; Surface (topology); Combinatorics; Geometry; Botany","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"],"consensus_categories":[],"category_scores_codex":[0.0006989694,0.0005151341,0.0008940011,0.0001288556,0.0001376451,0.00007759883,0.001345776,0.0005061744,0.000303407],"category_scores_gemma":[0.001096932,0.0003338198,0.000524195,0.0001633664,0.0001388292,0.00002637307,0.001260184,0.0008426641,0.0001683161],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007212464,"about_ca_system_score_gemma":0.0001197886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002863697,"about_ca_topic_score_gemma":0.00001095151,"domain_scores_codex":[0.9971578,0.00007241718,0.0009423497,0.0004400638,0.000924653,0.0004627764],"domain_scores_gemma":[0.9940334,0.002876915,0.0008989403,0.001952294,0.0001511221,0.00008734463],"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":[0.0000081802,0.0001585132,0.000004081314,0.0009340178,0.0002019942,0.000003215369,0.001108516,0.00005096507,0.000007752138,0.9392938,0.05816401,0.00006493067],"study_design_scores_gemma":[0.0001927358,0.00009519974,0.0000049742,0.0007117957,0.0001370986,0.000002552205,0.0007752696,0.0009850076,0.0007130495,0.9958141,0.0002406965,0.0003275615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9486642,0.0003244074,0.0144883,0.008182334,0.008765277,0.003766171,0.0002271665,0.0009013981,0.0146807],"genre_scores_gemma":[0.9865671,0.00007248515,0.008774791,0.0002575939,0.0003817535,0.0002322988,0.0000228604,0.0002728906,0.003418239],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05792332,"threshold_uncertainty_score":0.9999114,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0737765212792888,"score_gpt":0.3058020526956268,"score_spread":0.232025531416338,"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."}}