{"id":"W3080750523","doi":"10.2140/agt.2023.23.2271","title":"Adequate links in thickened surfaces and the generalized Tait conjectures","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Skein; Bracket polynomial; Mathematics; Skein relation; Diagram; Sigma; Generalization; Bracket; Surface (topology); Pure mathematics; Combinatorics; Link (geometry); Algebra over a field; Geometry; Knot theory; Mathematical analysis; Polynomial; Physics; Quantum mechanics","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":[0.0009943007,0.0003178638,0.000353929,0.001874177,0.001234012,0.001435413,0.0004941516,0.0007759125,0.005420263],"category_scores_gemma":[0.00206074,0.0002496144,0.0005073149,0.0007187441,0.002768505,0.005318293,0.002495516,0.001349064,0.0004554093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006628882,"about_ca_system_score_gemma":0.0002163789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004470795,"about_ca_topic_score_gemma":0.0005631249,"domain_scores_codex":[0.9993572,0.0001140744,0.0000397833,0.0001369927,0.0002509371,0.0001010427],"domain_scores_gemma":[0.998892,0.0003281453,0.000210315,0.0001673485,0.0002560294,0.0001462575],"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":[0.00002107009,0.000009739583,0.001062399,0.00003226801,0.000005644047,0.0002129276,0.0004039377,0.002233642,0.001654767,0.9896628,0.0003506879,0.004350019],"study_design_scores_gemma":[0.000007834754,0.00003968646,0.001829323,0.0000271198,0.00001074795,0.0002895823,0.0004798923,0.01275223,0.001888616,0.9764131,0.006244095,0.00001769637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8072345,0.0008166941,0.1309337,0.0009562427,0.0001407736,0.00003024283,0.0001197086,0.0002022451,0.05956592],"genre_scores_gemma":[0.9791749,0.0002687527,0.01213237,0.0001066836,0.000113486,0.0000234964,0.00009473071,0.00003212785,0.008053435],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005420263,"threshold_uncertainty_score":0.01813263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0339616196124764,"score_gpt":0.3005570840389345,"score_spread":0.2665954644264581,"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."}}