{"id":"W3135475550","doi":"10.1007/s10711-021-00617-y","title":"Nielsen equivalence and trisections","year":2021,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Isotopy; Diffeomorphism; Pure mathematics; Mapping class group; Fundamental group; Equivalence (formal languages); Group (periodic table); Genus; Algebraic geometry; Fibered knot; Combinatorics; Surface (topology); Geometry","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":[0.00071115,0.0007275043,0.0008517965,0.003355724,0.002984842,0.00457467,0.0008333733,0.001203347,0.009944767],"category_scores_gemma":[0.00168776,0.0005826278,0.0006619923,0.002385342,0.005438176,0.008389029,0.003890871,0.003170884,0.0009825227],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002196122,"about_ca_system_score_gemma":0.0006505161,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002446287,"about_ca_topic_score_gemma":0.00247107,"domain_scores_codex":[0.9992538,0.0001843501,0.00004725463,0.0001909421,0.0001984306,0.0001251042],"domain_scores_gemma":[0.999113,0.0003925164,0.00008457612,0.00009471722,0.0001789983,0.0001361836],"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":[0.000005191976,0.000004641942,0.00006013513,0.000008842736,0.000003297263,0.00002096921,0.0001653023,0.00004915244,0.00009966017,0.9982351,0.00039497,0.0009528327],"study_design_scores_gemma":[0.000007865871,0.000007295884,0.0003156999,0.000007332945,0.000008094096,0.0001040672,0.0002475,0.0002408317,0.0001690595,0.9883527,0.01053185,0.000007772668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2408996,0.006371249,0.03701563,0.005769758,0.001051786,0.00005091567,0.0006482301,0.0002238664,0.707969],"genre_scores_gemma":[0.9223047,0.002851975,0.005367707,0.0005314886,0.0006029365,0.00004642254,0.000396673,0.00008388362,0.0678141],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009944767,"threshold_uncertainty_score":0.03326857,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0784257389462832,"score_gpt":0.3441181854290411,"score_spread":0.2656924464827579,"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."}}