{"id":"W2923642836","doi":"10.1142/s0218216521500309","title":"Virtual concordance and the generalized Alexander polynomial","year":2021,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Alexander polynomial; Mathematics; Crossing number (knot theory); Knot (papermaking); Combinatorics; HOMFLY polynomial; Noetherian; Concordance; Knot theory; Ribbon; Torus; Polynomial; Pure mathematics; Discrete mathematics; Algebra over a field; Geometry; Mathematical analysis; Matrix polynomial; Square-free polynomial","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001209059,0.000076136,0.000240007,0.00006566283,0.000181469,0.00003536469,0.0001032094,0.00005033202,0.0002448248],"category_scores_gemma":[0.002146606,0.00004669313,0.00006737449,0.0001691668,0.0002423554,0.00008429047,0.00003772531,0.0001798667,0.000003056503],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001073558,"about_ca_system_score_gemma":0.00008467611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.951715e-7,"about_ca_topic_score_gemma":0.000001841052,"domain_scores_codex":[0.9989223,0.0004513669,0.0003422905,0.00008746704,0.0000966935,0.00009990449],"domain_scores_gemma":[0.9972124,0.002168129,0.0002502047,0.0001270549,0.0001755929,0.00006658972],"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":[0.0001435449,0.00004684279,0.00003113682,0.00000599118,0.00007742146,0.000005023709,0.0006153285,0.000001837026,0.0008694811,0.993459,0.001713012,0.003031312],"study_design_scores_gemma":[0.009004498,0.0001963901,0.003530769,0.00006459536,0.0004930541,0.002105816,0.006438821,0.0003410624,0.003403495,0.9472824,0.02685738,0.0002817633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9703118,0.007797394,0.01394638,0.005903567,0.0003014358,0.00009806798,0.000007096292,0.000008465907,0.001625754],"genre_scores_gemma":[0.9920808,0.0009614368,0.0007185878,0.0004048371,0.0002086057,0.000002650638,7.605789e-7,0.000006926017,0.0056154],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04617671,"threshold_uncertainty_score":0.268066,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02802742721221987,"score_gpt":0.2973023476069213,"score_spread":0.2692749203947015,"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."}}