{"id":"W2930010774","doi":"10.2140/agt.2020.20.2657","title":"The syzygy order of big polygon spaces","year":2020,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Hilbert's syzygy theorem; Equivariant cohomology; Equivariant map; Polygon (computer graphics); Cohomology; Torus; Vector bundle; Local cohomology","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007144568,0.0003405099,0.0007788726,0.0004154467,0.0003253451,0.000025277,0.001017213,0.00045121,0.001025311],"category_scores_gemma":[0.00670018,0.0002473836,0.000205886,0.003049344,0.001367196,0.00006212776,0.0003652471,0.0005486519,0.0002103493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000335225,"about_ca_system_score_gemma":0.0001899982,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001358687,"about_ca_topic_score_gemma":0.0001011742,"domain_scores_codex":[0.9969724,0.0004617158,0.0008406365,0.0005474489,0.0003412862,0.0008365138],"domain_scores_gemma":[0.9938264,0.004558257,0.0004698379,0.000720933,0.0002015157,0.0002230148],"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":[0.0001326258,0.0001465373,0.003332815,0.00007120199,0.000357096,0.00005393545,0.001015075,0.000002020707,0.0004320951,0.9476195,0.008873274,0.03796382],"study_design_scores_gemma":[0.002367486,0.002393559,0.003744983,0.00001789624,0.0003562976,0.0003952581,0.002713028,0.00009301475,0.009851437,0.882803,0.09442184,0.0008422061],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9053526,0.005031393,0.009657546,0.05772909,0.002433089,0.0007148063,0.00002225249,0.000327268,0.01873196],"genre_scores_gemma":[0.994394,0.0002991611,0.001384065,0.002060604,0.0004564658,0.00004398071,0.000005394535,0.00004636101,0.001309936],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08904143,"threshold_uncertainty_score":0.9999979,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04014828155419781,"score_gpt":0.2901446227407495,"score_spread":0.2499963411865517,"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."}}