{"id":"W2585169510","doi":"10.4064/dm785-3-2018","title":"Alexander invariants of periodic virtual knots","year":2018,"lang":"it","type":"article","venue":"Dissertationes Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Braid; Quotient; Knot theory; Knot (papermaking); Periodic orbits; Pure mathematics; Tricolorability; Connected sum; Skein relation; Combinatorics; Mathematical analysis","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":[0.000324046,0.0004144273,0.0002962445,0.001485468,0.0007558665,0.00138821,0.0006490954,0.0003174679,0.004482716],"category_scores_gemma":[0.0008629124,0.0001961334,0.0003982414,0.0005405319,0.001943204,0.001929686,0.001695556,0.0007828324,0.0003961388],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005648017,"about_ca_system_score_gemma":0.0002598597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005240651,"about_ca_topic_score_gemma":0.000373322,"domain_scores_codex":[0.9996978,0.00002962753,0.00001386402,0.00006144397,0.0001114473,0.00008588239],"domain_scores_gemma":[0.9995965,0.00006854236,0.0001207314,0.00006452532,0.0000540859,0.00009562734],"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":[0.00004548157,0.00002731189,0.0008264647,0.00003505569,0.00001024012,0.0001875826,0.0003211397,0.003230752,0.007443529,0.9788214,0.0004761993,0.008574789],"study_design_scores_gemma":[0.00001956165,0.0001158468,0.003353165,0.0000256308,0.00002408462,0.0004668063,0.0003223206,0.02150833,0.004544018,0.963452,0.006129591,0.00003870413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9098683,0.0002740255,0.04099496,0.0001779094,0.0001320282,0.00001624039,0.00008792677,0.0002084917,0.04824011],"genre_scores_gemma":[0.9931784,0.0001171108,0.002303719,0.0000194766,0.00004446205,0.000007215502,0.0000560265,0.00003050969,0.004243047],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004482716,"threshold_uncertainty_score":0.01499617,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03198810205888632,"score_gpt":0.3124780939562573,"score_spread":0.280489991897371,"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."}}