{"id":"W2963511426","doi":"10.1016/j.jfa.2019.02.001","title":"Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank","year":2019,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Torus; Rank (graph theory); Pure mathematics; Mathematical analysis; Combinatorics; Geometry","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":[0.0006337629,0.0009885009,0.001159345,0.00253451,0.002058273,0.002851445,0.001150745,0.001684488,0.007308868],"category_scores_gemma":[0.002223262,0.0004880399,0.0009350681,0.0006776468,0.002594426,0.003216732,0.002148797,0.001888049,0.0006102811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001183551,"about_ca_system_score_gemma":0.001025261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001450404,"about_ca_topic_score_gemma":0.001165161,"domain_scores_codex":[0.9996228,0.00008856731,0.00001850259,0.0000611148,0.00008987775,0.0001191109],"domain_scores_gemma":[0.9989884,0.0001625148,0.0002219853,0.00008199151,0.000142409,0.0004025794],"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":[0.0001190311,0.00006048359,0.0003256878,0.00004216117,0.00001689735,0.0003859576,0.0003882618,0.002542865,0.003337263,0.9892296,0.00105573,0.002496044],"study_design_scores_gemma":[0.00006006827,0.00008972571,0.0007371038,0.00001924884,0.00001156971,0.0004411769,0.0005482162,0.03962475,0.001252735,0.955397,0.001777612,0.00004069154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9324477,0.0004174984,0.02672251,0.00148783,0.0002740535,0.00004102231,0.0001109154,0.0001997744,0.0382988],"genre_scores_gemma":[0.9767566,0.0002099447,0.004895722,0.0001432223,0.0002455746,0.00002546073,0.0001560462,0.00008081956,0.01748665],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007308868,"threshold_uncertainty_score":0.0244506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02849150827550151,"score_gpt":0.258396931837331,"score_spread":0.2299054235618295,"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."}}