{"id":"W3154723035","doi":"10.1016/j.aim.2022.108638","title":"Cohomology of the moduli stack of algebraic vector bundles","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Väisälän Rahasto; H2020 Marie Skłodowska-Curie Actions; Horizon 2020; Suomalainen Tiedeakatemia; European Commission","keywords":"Mathematics; Vector bundle; Stack (abstract data type); Chern class; Pure mathematics; Sheaf; Moduli; Multiplicative function; Rank (graph theory); Cohomology; Scheme (mathematics); Tautological line bundle; Moduli space; Algebra over a field; Combinatorics; Mathematical analysis; Normal bundle; Frame bundle","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":[0.0004569159,0.0004932854,0.0004342768,0.002400191,0.0009849309,0.002118057,0.0005866837,0.0003464494,0.008207939],"category_scores_gemma":[0.0006930276,0.0002891286,0.000303717,0.0008774871,0.001949585,0.003120312,0.002420443,0.0009023426,0.0006993962],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00105715,"about_ca_system_score_gemma":0.0003977935,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008766677,"about_ca_topic_score_gemma":0.0005277474,"domain_scores_codex":[0.9995023,0.0000571613,0.00001936278,0.00009721212,0.0001678333,0.0001559801],"domain_scores_gemma":[0.9995925,0.00007355028,0.0000801744,0.00003287741,0.00006760201,0.0001533699],"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":[0.0000730181,0.00004601528,0.003655028,0.00007979859,0.00002424585,0.0005504207,0.0009196635,0.001523101,0.007552888,0.9729404,0.0008555965,0.01177971],"study_design_scores_gemma":[0.00005242496,0.0001992745,0.02404357,0.00008856881,0.00005879706,0.00180745,0.001182167,0.02047767,0.01207309,0.9184318,0.02150557,0.00007954066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9192824,0.000625978,0.02477453,0.0005300764,0.0001101905,0.00004181631,0.0003769556,0.000172872,0.05408508],"genre_scores_gemma":[0.986416,0.0002345949,0.002265622,0.00004019233,0.00008958953,0.00001471915,0.0002692064,0.00002585812,0.01064416],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008207939,"threshold_uncertainty_score":0.02745831,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01881969697415757,"score_gpt":0.2898347983063371,"score_spread":0.2710151013321795,"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."}}