{"id":"W4389155988","doi":"10.1112/topo.70027","title":"The Dehn twist action for quantum representations of mapping class groups","year":2025,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Ministry of Colleges and Universities; Agence Nationale de la Recherche; Government of Canada","keywords":"Twist; Action (physics); Class (philosophy); Mapping class group; Mathematics; Quantum; Pure mathematics; Combinatorics; Group (periodic table); Algebra over a field; Physics; Computer science; Artificial intelligence; Geometry; Quantum mechanics; Surface (topology)","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":[0.0004461054,0.0004056935,0.000416586,0.001719422,0.0008643167,0.001519278,0.0004255575,0.0005610099,0.006753579],"category_scores_gemma":[0.0009242829,0.0002102184,0.000581737,0.0003355249,0.001722901,0.002242518,0.001306635,0.0008997152,0.0005227497],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009115227,"about_ca_system_score_gemma":0.0004100919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009482196,"about_ca_topic_score_gemma":0.000887156,"domain_scores_codex":[0.9996928,0.0000447638,0.00001228018,0.00003637266,0.00009483602,0.0001189829],"domain_scores_gemma":[0.9996076,0.00007661201,0.00006813454,0.00006563016,0.00004576126,0.0001362711],"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":[0.00007694069,0.00005787038,0.0008576338,0.00002365619,0.000008899917,0.0001833548,0.0003420818,0.005938546,0.007336585,0.9800005,0.0003156362,0.004858368],"study_design_scores_gemma":[0.00003124849,0.00009855374,0.002035303,0.00002114957,0.00001379792,0.0002481226,0.0003391742,0.05152903,0.006868,0.9358367,0.002930043,0.00004893032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9473425,0.00008757266,0.02427922,0.00017692,0.00005467946,0.00003280659,0.00003826894,0.00007198517,0.02791599],"genre_scores_gemma":[0.9915205,0.0000647056,0.002264781,0.00003220229,0.00003838008,0.00001598802,0.00003534801,0.00003290997,0.005995135],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006753579,"threshold_uncertainty_score":0.02259302,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06204775739828582,"score_gpt":0.3858155968315625,"score_spread":0.3237678394332766,"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."}}