{"id":"W2095648046","doi":"10.1142/s0218216512501301","title":"LEFT ORDERINGS AND QUOTIENTS OF THE BRAID GROUPS","year":2012,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Braid group; Homomorphism; Injective function; Braid; Quotient; Image (mathematics); Combinatorics; Monomorphism; Group (periodic table); Discrete mathematics; Pure mathematics","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":[0.0006422214,0.0003903999,0.0002503834,0.00107111,0.0008612527,0.002158197,0.0004313339,0.0003050728,0.005043483],"category_scores_gemma":[0.001531538,0.0002507599,0.000339332,0.0003545359,0.002738889,0.002774818,0.002022169,0.001130638,0.0006843256],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006529164,"about_ca_system_score_gemma":0.0004863201,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008894047,"about_ca_topic_score_gemma":0.0007969304,"domain_scores_codex":[0.9992348,0.0001214334,0.00005596428,0.0001524501,0.0002036262,0.0002317828],"domain_scores_gemma":[0.9990216,0.000214672,0.0001437226,0.0001553824,0.0001611714,0.0003034081],"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":[0.00005426367,0.00002987323,0.0005663726,0.00002663015,0.000003536246,0.0002150021,0.0008851053,0.0003707581,0.005733642,0.9806039,0.0003131477,0.01119773],"study_design_scores_gemma":[0.00003343819,0.00007990132,0.0008899287,0.00003138254,0.00001167744,0.0003172518,0.0006355628,0.004440851,0.01125805,0.9703181,0.01195647,0.00002727626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7483644,0.001727834,0.1011879,0.0007770295,0.0002751986,0.00004570115,0.0001826504,0.0005114076,0.1469279],"genre_scores_gemma":[0.9790472,0.0002380869,0.007279516,0.00008055165,0.00007191663,0.00002875008,0.00009001736,0.00006495634,0.01309895],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005043483,"threshold_uncertainty_score":0.01687211,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02777441660803654,"score_gpt":0.2882706834182197,"score_spread":0.2604962668101832,"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."}}