{"id":"W1863689192","doi":"10.37236/2126","title":"Poset Pinball, Highest Forms, and $(n-2,2)$ Springer Varieties","year":2012,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Partially ordered set; Variety (cybernetics); Equivariant map; Bijection; Nilpotent; Equivariant cohomology; Type (biology); Symmetric function; Dimension (graph theory); Cohomology; Nilpotent matrix; Partition (number theory); Rank (graph theory); Pure mathematics; Square matrix; Symmetric matrix","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002493754,0.0004780074,0.0003148483,0.001083236,0.001551052,0.001913602,0.0005941197,0.0004336537,0.006532831],"category_scores_gemma":[0.0006134345,0.0002127088,0.0004445998,0.0005380302,0.002403327,0.002756956,0.001799018,0.001099086,0.0004887347],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008304505,"about_ca_system_score_gemma":0.0003545458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007280688,"about_ca_topic_score_gemma":0.0007860194,"domain_scores_codex":[0.9996873,0.00005435261,0.00001163115,0.00008308241,0.00007081965,0.00009285605],"domain_scores_gemma":[0.9997897,0.00003998115,0.00004489439,0.00002038916,0.00002252799,0.00008257964],"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":[0.0000271967,0.00001215616,0.0004535649,0.0000159168,0.000003197385,0.0001303649,0.0004051922,0.000965443,0.001464653,0.993288,0.000325512,0.002908776],"study_design_scores_gemma":[0.00002546435,0.00009402965,0.001396853,0.00001951029,0.00001143619,0.0004448436,0.0009611178,0.007569473,0.004666626,0.9733236,0.01144558,0.00004150079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.866774,0.0003404916,0.05847792,0.0004243635,0.0001612977,0.00004785082,0.00009572432,0.0001574053,0.07352081],"genre_scores_gemma":[0.9796838,0.0001553428,0.005407121,0.00007644233,0.00007604749,0.0000345036,0.00007465189,0.00004367315,0.01444844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006532831,"threshold_uncertainty_score":0.02185446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01594419511846342,"score_gpt":0.2764896983588607,"score_spread":0.2605455032403973,"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."}}