{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003071654,0.00138814,0.001786864,0.004839054,0.003264502,0.00423085,0.002528534,0.003412472,0.01760535],"category_scores_gemma":[0.008948376,0.0005812504,0.001190348,0.002437782,0.004875719,0.007308854,0.003941054,0.005484658,0.001517533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004862555,"about_ca_system_score_gemma":0.001572114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01606239,"about_ca_topic_score_gemma":0.01048814,"domain_scores_codex":[0.9987965,0.0004078975,0.00005668356,0.0002179272,0.0002967003,0.0002242748],"domain_scores_gemma":[0.9951088,0.002704484,0.0003259474,0.0003285558,0.0008790144,0.0006531215],"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":[0.00004071039,0.00001578577,0.0003174448,0.00006863509,0.0000147169,0.0001964411,0.0001667171,0.001864381,0.0008853381,0.9902108,0.002946699,0.003272424],"study_design_scores_gemma":[0.000009050867,0.00001360514,0.0008521909,0.00004660829,0.00001175342,0.00009613785,0.00009704299,0.02622075,0.0002781987,0.969431,0.002923395,0.00002018411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2825477,0.009228486,0.2438428,0.02239404,0.001551842,0.0001097337,0.001296579,0.0003210099,0.4387077],"genre_scores_gemma":[0.8905951,0.003968053,0.0286573,0.002466345,0.001477312,0.0001565039,0.0009080352,0.000296125,0.07147511],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01760535,"threshold_uncertainty_score":0.05889571,"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."}}