{"id":"W2996813639","doi":"10.1007/s13366-023-00689-9","title":"A virtual geometric action of a braid group","year":2023,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid group; Braid; Mathematics; Action (physics); Group (periodic table); Quotient; Center (category theory); Pure mathematics; Combinatorics; Physics; Crystallography; Materials science","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":[0.0006056285,0.0007741676,0.0006331435,0.00109671,0.001678204,0.003391583,0.001028567,0.001136305,0.01133427],"category_scores_gemma":[0.0007902617,0.0003851259,0.000714641,0.0005595299,0.003773541,0.002839655,0.002426257,0.001163066,0.001009644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008615251,"about_ca_system_score_gemma":0.0006451606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006274383,"about_ca_topic_score_gemma":0.0006334073,"domain_scores_codex":[0.9995095,0.0001317436,0.00001746324,0.00009393192,0.0001393196,0.0001081028],"domain_scores_gemma":[0.9996445,0.00006930227,0.00004240404,0.00006691572,0.00005202404,0.0001247593],"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":[0.00001210053,0.000009372089,0.00003395208,0.000008053813,0.000002604889,0.00005276848,0.00008526546,0.0003591982,0.0007894996,0.9969468,0.0003195893,0.00138086],"study_design_scores_gemma":[0.00001697504,0.00004032266,0.00009770651,0.000007089881,0.00000588391,0.0001808766,0.0001065762,0.003163327,0.0005052719,0.9914973,0.004367977,0.00001067817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4697754,0.001409261,0.1715448,0.00396169,0.002456956,0.00007014078,0.0001421501,0.0005230294,0.3501164],"genre_scores_gemma":[0.9379476,0.0003995428,0.012944,0.0005881345,0.0003894911,0.00003693118,0.00005899081,0.0001361705,0.04749923],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01133427,"threshold_uncertainty_score":0.0379169,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02346990315347675,"score_gpt":0.3191112921139997,"score_spread":0.295641388960523,"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."}}