{"id":"W2944760900","doi":"10.1007/978-3-030-05213-3_6","title":"Knot Invariants Through R-Matrix Representations of $$\\mathfrak {B}_n$$","year":2019,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Braid; Knot (papermaking); Braid group; Mathematics; Pure mathematics; Connection (principal bundle); Knot invariant; Quantum invariant; Matrix (chemical analysis); Algebra over a field; Combinatorics; Knot theory; Geometry; Engineering; Materials science","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":[0.000268853,0.001095063,0.0005461695,0.002093278,0.001349156,0.003806148,0.00117316,0.0009188596,0.03309134],"category_scores_gemma":[0.0006392697,0.0004393524,0.0006220049,0.001157342,0.00169868,0.003743359,0.001350785,0.002695815,0.01215014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001036793,"about_ca_system_score_gemma":0.0005323082,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001253881,"about_ca_topic_score_gemma":0.001725655,"domain_scores_codex":[0.999647,0.00005254342,0.00001187257,0.0000615187,0.0001592803,0.00006761363],"domain_scores_gemma":[0.9998268,0.00003190464,0.00002752349,0.00003361563,0.00004945825,0.00003067803],"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":[0.000008626942,0.000015134,0.00001770572,0.0000217667,0.00000271998,0.00002478511,0.00008450603,0.0002649306,0.0008446728,0.9797957,0.007765974,0.0111535],"study_design_scores_gemma":[0.000008312942,0.00001933388,0.0001781371,0.00003230137,0.000006588005,0.0001876711,0.00008274901,0.003070435,0.001467757,0.9296947,0.06522498,0.00002721688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03439569,0.00159081,0.09856632,0.001535722,0.00256654,0.0000570624,0.000426052,0.001381176,0.8594805],"genre_scores_gemma":[0.3627914,0.002883054,0.04294123,0.001031068,0.001986033,0.0001106146,0.0008672441,0.002267645,0.5851217],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03309134,"threshold_uncertainty_score":0.1107016,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07610013404691458,"score_gpt":0.3446743621645424,"score_spread":0.2685742281176278,"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."}}