{"id":"W3088745790","doi":"10.4171/008-1/5","title":"Spectral triples: examples and index theory","year":2011,"lang":"en","type":"book","venue":"ESI lectures in mathematics and physics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Spectral triple; Notation; Index (typography); Pure mathematics; Symbol (formal); Metric (unit); Operator (biology); Operator theory; Fredholm operator; Algebra over a field; Noncommutative geometry; Mathematical analysis; Compact operator; Arithmetic; Linguistics; Computer science; Extension (predicate logic)","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":[0.0004629852,0.0006397145,0.0009951977,0.0001069027,0.000105583,0.00007727471,0.0003326085,0.0004675187,0.0001098752],"category_scores_gemma":[0.0003321492,0.0005576236,0.0001221636,0.00009131133,0.0003757066,0.00008610689,0.0002402756,0.0009433015,0.000006970638],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009227172,"about_ca_system_score_gemma":0.0001240356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002795688,"about_ca_topic_score_gemma":0.00002809689,"domain_scores_codex":[0.9980637,0.00006505739,0.0006133293,0.0005192649,0.0003229853,0.0004156522],"domain_scores_gemma":[0.9968818,0.001834854,0.0004410382,0.0006886114,0.00004950394,0.0001041281],"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":[0.00001588461,0.0001054957,0.00001562664,0.00127837,0.00009796393,0.0000160098,0.004635835,0.000001818773,0.00001076499,0.9868124,0.00115627,0.005853555],"study_design_scores_gemma":[0.000410161,0.00005931065,0.00002451343,0.0006559056,0.0001155522,0.00002491,0.00008574708,0.0001430602,0.0001573551,0.993651,0.004089709,0.0005827521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.005618351,0.005974309,0.1843721,0.00004031812,0.000514582,0.002020427,0.0001086071,0.0002892487,0.8010621],"genre_scores_gemma":[0.01658129,0.00410516,0.4768965,0.0004478054,0.003153191,0.0001940644,0.0001036019,0.00103312,0.4974853],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3035768,"threshold_uncertainty_score":0.9996876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04172279548469599,"score_gpt":0.287124597116749,"score_spread":0.245401801632053,"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."}}