{"id":"W2964232475","doi":"10.4310/mrl.2008.v15.n1.a6","title":"The $K$-theory of abelian symplectic quotients","year":2008,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Banff International Research Station for Mathematical Innovation and Discovery; University of Toronto; American Institute of Mathematics","keywords":"Mathematics; Symplectic geometry; Moment map; Equivariant map; Morse theory; Pure mathematics; Maximal torus; Quotient; Symplectic manifold; Equivariant cohomology; Algebra over a field; Discrete mathematics; Cohomology; Lie algebra","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.004132571,0.000256056,0.0005038454,0.0002183157,0.0008297642,0.00004901104,0.001098744,0.00010527,0.0004804643],"category_scores_gemma":[0.0275878,0.0001697206,0.0001954688,0.0008479725,0.001653604,0.0001377014,0.0003762499,0.0007322732,0.0003835896],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000180809,"about_ca_system_score_gemma":0.0001142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001710504,"about_ca_topic_score_gemma":0.000001033555,"domain_scores_codex":[0.9948298,0.0007936992,0.0008703002,0.0003468873,0.002132704,0.00102663],"domain_scores_gemma":[0.9726446,0.02524552,0.0002178623,0.001246223,0.0004134479,0.000232348],"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":[0.00005511294,0.0003288193,0.00002654073,0.0003320962,0.00007513364,0.00003515726,0.001227566,0.00000127971,0.002648505,0.9632561,0.03143546,0.0005782257],"study_design_scores_gemma":[0.0003898655,0.0001193978,0.00003146987,0.0001929752,0.00001670549,0.00005301664,0.0003603205,0.0001342549,0.003289054,0.9933138,0.001924987,0.0001741645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8626827,0.0001968197,0.1032606,0.005255095,0.0006192031,0.002974603,0.0000496601,0.0004152346,0.02454612],"genre_scores_gemma":[0.9584604,0.00005714898,0.03659176,0.0001882237,0.0002347586,0.0004136175,0.000004460793,0.0001845034,0.003865114],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09577774,"threshold_uncertainty_score":0.9806032,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1847286905414482,"score_gpt":0.4140040588339711,"score_spread":0.2292753682925229,"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."}}