{"id":"W3202828883","doi":"10.1112/s0010437x21007533","title":"Wall-crossings and a categorification of <i>K</i> -theory stable bases of the Springer resolution","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Categorification; Mathematics; Pure mathematics; Resolution (logic); Monodromy; Affine Lie algebra; Cohomology; Affine transformation; Algebra over a field; Verma module; Lie algebra; Quantum affine algebra; Affine representation; Representation theory; Current algebra; Algebra representation; Cellular algebra","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":[0.0004545761,0.000390494,0.0004041851,0.002364875,0.001548786,0.003003339,0.0006010724,0.0006211572,0.006045284],"category_scores_gemma":[0.0009382385,0.0002741207,0.0004815944,0.0007968871,0.002617137,0.003100798,0.001550363,0.001266415,0.0005504954],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009117563,"about_ca_system_score_gemma":0.000421333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008415984,"about_ca_topic_score_gemma":0.0005798792,"domain_scores_codex":[0.9996214,0.0000531667,0.00001884126,0.00006839786,0.0001157382,0.0001224726],"domain_scores_gemma":[0.9995255,0.00006071488,0.000107444,0.00004984858,0.0000799156,0.0001765121],"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":[0.00003833446,0.00004455178,0.000700116,0.0000180419,0.00000952758,0.0002728638,0.0004510602,0.001519538,0.004092168,0.9895924,0.0003241018,0.002937255],"study_design_scores_gemma":[0.00003280573,0.00009007636,0.002829751,0.000031715,0.00001599104,0.0004628322,0.001164071,0.01330585,0.006985596,0.9708503,0.004174858,0.000056094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9333424,0.000206736,0.02637557,0.0002881347,0.0001130347,0.00002919296,0.00007331541,0.0001079498,0.03946363],"genre_scores_gemma":[0.9925084,0.00007456932,0.002505827,0.00004096174,0.0000413142,0.00001669544,0.00006482835,0.00002633238,0.004721203],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006045284,"threshold_uncertainty_score":0.0202235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02446381902521918,"score_gpt":0.2639367386998412,"score_spread":0.239472919674622,"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."}}