{"id":"W2116982771","doi":"10.1093/qmath/has045","title":"MORSE THEORY WITH THE NORM-SQUARE OF A HYPERKAHLER MOMENT MAP","year":2013,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Moment map; Equivariant map; Pure mathematics; Cohomology; Equivariant cohomology; Symplectic geometry; Morse theory; Circle-valued Morse theory; Orbifold; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.001874688,0.0002464189,0.0005186909,0.0001101495,0.0001468576,0.00007980318,0.0009073349,0.00006064164,0.0005698397],"category_scores_gemma":[0.000057785,0.0001027082,0.0002321062,0.0002336287,0.0002021692,0.0001943325,0.00004080182,0.0003539908,0.0001089616],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002734707,"about_ca_system_score_gemma":0.00005196021,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006735486,"about_ca_topic_score_gemma":0.00000536423,"domain_scores_codex":[0.9977928,0.0002285769,0.0008510583,0.00009606189,0.0007464063,0.00028506],"domain_scores_gemma":[0.996166,0.001371212,0.001179961,0.0007356185,0.0004619815,0.00008525809],"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":[0.0002679685,0.003307755,0.0001675255,0.002086876,0.002057111,0.00005759783,0.1166661,0.0001625609,0.002502266,0.8105414,0.04858423,0.01359862],"study_design_scores_gemma":[0.0009930705,0.00230866,0.0003244805,0.0004572536,0.0004901532,0.0007269167,0.05213163,0.000478402,0.000570494,0.9402292,0.001028382,0.0002613082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9465812,0.0002860534,0.04767721,0.003633453,0.0001226424,0.0006007462,0.000004368411,0.00002212774,0.001072158],"genre_scores_gemma":[0.9840406,0.000008090144,0.01431231,0.0001555821,0.0001555931,0.00002192358,3.932132e-7,0.00004219862,0.001263297],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1296879,"threshold_uncertainty_score":0.6239346,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02508877920077984,"score_gpt":0.2491747640885575,"score_spread":0.2240859848877776,"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."}}