{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001032403,0.0002843346,0.0006457336,0.0006156566,0.0003153733,0.00002155716,0.0006076879,0.0003481187,0.000228634],"category_scores_gemma":[0.00190644,0.0001544812,0.0002414984,0.003481743,0.001755135,0.00005926967,0.0003822396,0.000488584,0.00001097004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003756535,"about_ca_system_score_gemma":0.00007597925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007611645,"about_ca_topic_score_gemma":0.0001337658,"domain_scores_codex":[0.9975831,0.0005426687,0.0005831656,0.0004033514,0.0003504764,0.0005372179],"domain_scores_gemma":[0.9951622,0.003509104,0.0004249859,0.0007155017,0.0001239531,0.00006422757],"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":[0.00004574173,0.0001353578,0.009322177,0.00003547396,0.0001204624,0.000008830206,0.0001519531,0.000005776725,0.0002187318,0.9723209,0.01171117,0.005923461],"study_design_scores_gemma":[0.002667045,0.0001311501,0.08421516,0.000009214245,0.0002540748,0.0002808528,0.0001946808,0.00002956799,0.002890459,0.9048375,0.004187013,0.000303224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9807154,0.0050381,0.001591818,0.006200393,0.0007915854,0.0005057731,0.0000194064,0.00005768829,0.005079858],"genre_scores_gemma":[0.9966879,0.00005975346,0.0007068736,0.0007884438,0.0002659682,0.00002630025,0.000003326666,0.00002720246,0.001434175],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07489298,"threshold_uncertainty_score":0.6466868,"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."}}