{"id":"W2237033563","doi":"10.1007/s40316-016-0066-6","title":"On a Hitchin–Thorpe inequality for manifolds with foliated boundaries","year":2016,"lang":"en","type":"preprint","venue":"Annales mathématiques du Québec","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Signature (topology); Invariant (physics); Pure mathematics; Mathematics; Euler characteristic; Euler's formula; Context (archaeology); Infinity; Inequality; Geometry; Mathematical analysis; Geology; Mathematical physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001180001,0.0009034314,0.001234559,0.0002694738,0.0004905667,0.0006338262,0.0009962646,0.0005295594,0.0002803117],"category_scores_gemma":[0.00255446,0.0006135274,0.0003504037,0.0001378726,0.0005801119,0.0002819157,0.0007654761,0.0008655367,0.0001319204],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007394548,"about_ca_system_score_gemma":0.003614079,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002143654,"about_ca_topic_score_gemma":0.02553046,"domain_scores_codex":[0.9958647,0.0003827197,0.0009767911,0.001062992,0.0008642249,0.0008485432],"domain_scores_gemma":[0.9941292,0.002280066,0.0006883158,0.001650412,0.0009916299,0.0002603997],"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":[0.001754236,0.0007269045,0.001030738,0.005102822,0.0008227975,0.0001011147,0.005677594,0.00002171405,0.0001464865,0.9154247,0.06706645,0.002124423],"study_design_scores_gemma":[0.001103089,0.0008165878,0.0003820206,0.001919114,0.0001284966,0.00002760205,0.0001146781,0.0003953689,0.002321861,0.9703664,0.0213295,0.00109534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8315601,0.0004532024,0.1511796,0.007815407,0.0002784322,0.003585206,0.0007818035,0.001073625,0.003272687],"genre_scores_gemma":[0.9574612,0.00008698797,0.03573708,0.0006141494,0.0004662311,0.001996849,0.0001287721,0.0003957538,0.003112957],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1259011,"threshold_uncertainty_score":0.9996316,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05487806369900304,"score_gpt":0.3545950486535926,"score_spread":0.2997169849545896,"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."}}