{"id":"W2883434303","doi":"10.1016/j.aim.2021.107947","title":"The quantum Hikita conjecture","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; Massachusetts Institute of Technology; National Science Foundation","keywords":"Symplectic geometry; Quantum cohomology; Symplectomorphism; Mathematics; Pure mathematics; Conjecture; Ring (chemistry); Variety (cybernetics); Affine variety; Singularity; Torus; Resolution (logic); Cohomology; Symplectic manifold; Dual (grammatical number); Equivariant cohomology; Mathematical analysis; Geometry; Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005718755,0.0005073338,0.0008310315,0.00006374057,0.0001993155,0.0002620129,0.001091963,0.0004556953,0.00007106903],"category_scores_gemma":[0.001317459,0.0003437026,0.0002656839,0.000197953,0.0001769253,0.0001354386,0.001004077,0.001272562,0.000005789269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001396259,"about_ca_system_score_gemma":0.0001863759,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000743158,"about_ca_topic_score_gemma":0.00009034958,"domain_scores_codex":[0.997322,0.0001302403,0.0009262863,0.000520705,0.0006013828,0.0004994484],"domain_scores_gemma":[0.9954402,0.002189603,0.0006139618,0.001549151,0.0001350309,0.0000720464],"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":[0.000006612143,0.00009139095,0.0000265002,0.0009452556,0.00005557309,0.0000266442,0.001894216,0.0004864221,0.00000245817,0.9944821,0.0002422785,0.001740548],"study_design_scores_gemma":[0.0002657732,0.00001837991,0.00001106426,0.0006785315,0.0000586811,0.00001824873,0.001739402,0.003173147,0.00007043922,0.9906883,0.002882862,0.0003952322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7615791,0.1287499,0.04968363,0.002486104,0.02863532,0.004726551,0.00006628423,0.0008071907,0.02326588],"genre_scores_gemma":[0.9501201,0.009710539,0.03805532,0.0001020319,0.0006700287,0.0003226452,0.00002574159,0.0001862539,0.0008073367],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.188541,"threshold_uncertainty_score":0.9999015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02548832919004651,"score_gpt":0.3274717675354172,"score_spread":0.3019834383453707,"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."}}