{"id":"W1868251534","doi":"10.1090/s0002-9947-04-03522-6","title":"Hyperpolygon spaces and their cores","year":2004,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Quiver; Mathematics; Moduli space; Cohomology; Cohomology ring; Equivariant map; Equivariant cohomology; Variety (cybernetics); Type (biology); Combinatorics; Ring (chemistry); Polygon (computer graphics); Pure mathematics; Space (punctuation)","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":[],"consensus_categories":[],"category_scores_codex":[0.0001143121,0.000152323,0.0003496121,0.00001131274,0.000176641,0.00001960129,0.0002282249,0.00004283913,0.00004068789],"category_scores_gemma":[0.00004217918,0.00008631244,0.0003217522,0.0002133953,0.00075225,0.00005134368,0.00002305939,0.0001685251,0.000001585708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003330465,"about_ca_system_score_gemma":0.00003320435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007071492,"about_ca_topic_score_gemma":0.000004324934,"domain_scores_codex":[0.9992436,0.00002889056,0.0002300749,0.0001464696,0.0001775214,0.0001734642],"domain_scores_gemma":[0.9990802,0.0003093797,0.0001687104,0.0003468721,0.00003364598,0.00006123897],"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":[0.00002652669,0.0002956415,0.00005549478,0.0002004021,0.0002723424,1.575795e-7,0.007664862,0.0001487159,0.002019406,0.9864499,0.00009536902,0.00277117],"study_design_scores_gemma":[0.0002756598,0.00007332968,0.000205976,0.00004482234,0.00006799743,0.00001335591,0.002494814,0.0002134728,0.004622781,0.9918543,0.00002609236,0.0001074445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8765846,0.00004237177,0.1218009,0.0009819524,0.00006832714,0.0001764897,0.000007108792,0.00005117154,0.0002870685],"genre_scores_gemma":[0.980373,0.00003432493,0.01936842,0.0001007159,0.00002480411,0.00001215556,1.173171e-7,0.00001907648,0.0000674048],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1037884,"threshold_uncertainty_score":0.3519719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01831575370970231,"score_gpt":0.2638545446855117,"score_spread":0.2455387909758094,"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."}}