{"id":"W7133009661","doi":"","title":"On the Gassner Invariant of Braids and String links","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Invariant (physics); Homology (biology); Unitary state; Subspace topology; Braid; Orthogonal complement; Associative property","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":[0.000808387,0.000510544,0.0005454495,0.002320374,0.0009233662,0.001777679,0.0009392009,0.0007608866,0.0120195],"category_scores_gemma":[0.001925166,0.0001990462,0.000691734,0.001117389,0.002600813,0.003990002,0.001932456,0.001400457,0.001634454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008274982,"about_ca_system_score_gemma":0.0004789261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001296632,"about_ca_topic_score_gemma":0.001029286,"domain_scores_codex":[0.9996399,0.00006468898,0.00001251147,0.00005949321,0.0001493928,0.00007402602],"domain_scores_gemma":[0.999643,0.0001242526,0.00005576892,0.00005115326,0.00006144019,0.0000643001],"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":[0.000005828836,0.000008377465,0.0001182276,0.00001433457,0.000001764934,0.00004184844,0.0001138066,0.002026859,0.00046636,0.9915683,0.0004655935,0.005168692],"study_design_scores_gemma":[0.000005584916,0.00002972313,0.0002728594,0.00002384685,0.000003312114,0.00007537517,0.0001028175,0.02309519,0.0007222699,0.9716412,0.004005427,0.00002239451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.482772,0.001864236,0.3151968,0.00123207,0.0006510358,0.00008814568,0.0003313045,0.0005609146,0.1973034],"genre_scores_gemma":[0.9224626,0.0008863586,0.03882441,0.0004185839,0.0004893001,0.00006517738,0.0003038402,0.0003496057,0.03619993],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0120195,"threshold_uncertainty_score":0.04020929,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03613588823078382,"score_gpt":0.3402451895175765,"score_spread":0.3041093012867927,"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."}}