{"id":"W2081482335","doi":"10.2140/agt.2006.6.2351","title":"Genus generators and the positivity of the signature","year":2006,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Division of Mathematical Sciences; University of Toronto; Deutsche Forschungsgemeinschaft","keywords":"Signature (topology); Genus; Conjecture; Bounded function; Euler characteristic; Set (abstract data type); Generator (circuit theory)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001073879,0.0003447912,0.0006127435,0.001952841,0.001147432,0.002621285,0.0008226532,0.0005851583,0.002562077],"category_scores_gemma":[0.005366382,0.0003254361,0.0004543361,0.0007896575,0.005176615,0.004642357,0.002689655,0.001216193,0.0003330368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00104257,"about_ca_system_score_gemma":0.000520888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002907909,"about_ca_topic_score_gemma":0.0003289883,"domain_scores_codex":[0.9992245,0.0001666555,0.00004284531,0.0001778777,0.0002223902,0.000165601],"domain_scores_gemma":[0.9969198,0.001560682,0.0004050904,0.0003730245,0.0003345012,0.0004068807],"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":[0.00006014476,0.00001143079,0.003140715,0.00002934875,0.000004946474,0.0001788415,0.0003414179,0.002849119,0.003264899,0.9835126,0.0003357137,0.006270932],"study_design_scores_gemma":[0.0000118503,0.00003296595,0.001228358,0.00001399695,0.000009972487,0.0003899802,0.0001070501,0.01182124,0.003583418,0.9804962,0.002281327,0.00002370376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9264104,0.0003724248,0.05055263,0.001082063,0.00005970355,0.00001852554,0.0001168397,0.0002135743,0.02117379],"genre_scores_gemma":[0.9939743,0.0001184794,0.003672766,0.0000624743,0.00005054529,0.00002108167,0.00006220261,0.00003291812,0.002005186],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002621285,"threshold_uncertainty_score":0.008570969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0089999907283863,"score_gpt":0.2324042015693122,"score_spread":0.2234042108409258,"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."}}