{"id":"W1988744003","doi":"10.1142/s0218216511009741","title":"A STATE-SUM FORMULA FOR THE ALEXANDER POLYNOMIAL","year":2011,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Alexander polynomial; Braid; Formalism (music); HOMFLY polynomial; Diagrammatic reasoning; Knot polynomial; Polynomial; TRACE (psycholinguistics); Algebra over a field","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":[0.001394056,0.0006375499,0.0008235128,0.002638893,0.001459998,0.00238558,0.002097748,0.001312958,0.01052938],"category_scores_gemma":[0.003453796,0.0004504141,0.001198929,0.001269649,0.002224856,0.005978847,0.001998302,0.002366715,0.001981614],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009973695,"about_ca_system_score_gemma":0.0009267551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007018529,"about_ca_topic_score_gemma":0.001074574,"domain_scores_codex":[0.999436,0.00009009117,0.00003925075,0.00008192239,0.0002632055,0.00008968134],"domain_scores_gemma":[0.9992037,0.0003193901,0.0000808871,0.0001514211,0.0001397172,0.0001048465],"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":[0.000007553588,0.00001603864,0.0001445802,0.00002350618,0.000003514544,0.00006961152,0.0000953694,0.00225787,0.001140937,0.9922575,0.0003504851,0.003632885],"study_design_scores_gemma":[0.000004378972,0.00001169779,0.00008967258,0.00001775503,0.000005711774,0.0000835332,0.000031939,0.03838266,0.001077226,0.9591855,0.001094918,0.00001495026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1110131,0.0003132603,0.8333442,0.0005511736,0.0003421843,0.0001171571,0.0002689439,0.0005999451,0.05345012],"genre_scores_gemma":[0.8526928,0.0005185909,0.1267651,0.0002931401,0.0002673519,0.0002571937,0.0002768511,0.0004449404,0.01848401],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01052938,"threshold_uncertainty_score":0.03522426,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08770217841100944,"score_gpt":0.330708037331063,"score_spread":0.2430058589200536,"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."}}