{"id":"W4297073196","doi":"10.48550/arxiv.1206.1835","title":"The product structure of the equivariant K-theory of the based loop group of SU(2)","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subalgebra; Mathematics; Cohomology; Crossed product; Equivariant cohomology; Pointwise; Polynomial ring; Cohomology ring; Combinatorics; Omega; Pure mathematics; Polynomial; Algebra over a field; Physics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003092657,0.0004695112,0.000453206,0.001458109,0.0008561409,0.001926692,0.0008956455,0.0005290252,0.00493557],"category_scores_gemma":[0.0004911373,0.0002200322,0.0004847252,0.0006641311,0.002125936,0.002191134,0.001079492,0.0008234265,0.0007456932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008193315,"about_ca_system_score_gemma":0.0004744638,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000841046,"about_ca_topic_score_gemma":0.0005927371,"domain_scores_codex":[0.9997025,0.00005352583,0.00001199493,0.00006869432,0.00008570999,0.00007751003],"domain_scores_gemma":[0.9997911,0.00002599191,0.00004350013,0.00002701531,0.0000440055,0.00006848296],"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":[0.00003876865,0.00003008475,0.000519504,0.00003354846,0.000008083199,0.0001735089,0.0004079001,0.001549635,0.002693114,0.9893638,0.0005687718,0.004613381],"study_design_scores_gemma":[0.00001953284,0.0001210948,0.001554392,0.00002062993,0.00001377308,0.0003044503,0.0002378737,0.01402807,0.002519818,0.9765904,0.004562732,0.00002723024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8922148,0.0005443209,0.04505745,0.0005520823,0.0001550133,0.00003836039,0.0001990186,0.0002211808,0.06101774],"genre_scores_gemma":[0.9856968,0.0001763527,0.005747002,0.0001009925,0.0001259701,0.00001979524,0.0001265042,0.00004204343,0.007964568],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00493557,"threshold_uncertainty_score":0.01651108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08286031498625748,"score_gpt":0.2206282751254429,"score_spread":0.1377679601391855,"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."}}