{"id":"W4411667258","doi":"10.1007/s00209-025-03753-3","title":"The Kervaire conjecture via banach fixed points in power series groups","year":2025,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Weizmann Institute of Science","keywords":"Mathematics; Conjecture; Power series; Series (stratigraphy); Fixed point; Pure mathematics; Discrete mathematics; Mathematical analysis","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":[0.00215426,0.000577582,0.0008263494,0.001117874,0.00137011,0.002585997,0.0008904431,0.001645641,0.004635026],"category_scores_gemma":[0.004190577,0.0002479243,0.0008732033,0.0006000643,0.00395546,0.006384052,0.002615725,0.001938755,0.0004244899],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009389611,"about_ca_system_score_gemma":0.0004366638,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006269099,"about_ca_topic_score_gemma":0.0004979567,"domain_scores_codex":[0.9994594,0.0001834898,0.00002657746,0.00007454785,0.0001613002,0.0000946213],"domain_scores_gemma":[0.9993487,0.0003356872,0.00006943521,0.00008076864,0.00008235443,0.00008310577],"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":[0.00001444512,0.00001131359,0.0001696472,0.00001473439,0.000006216999,0.00008179533,0.0001727677,0.001545321,0.0003243217,0.9956378,0.000367765,0.001653944],"study_design_scores_gemma":[0.00001756819,0.00001421075,0.00006757679,0.000007361724,0.000003462207,0.00003495068,0.00009737974,0.006797722,0.0002680423,0.9915817,0.001104898,0.000005047147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7354578,0.001192711,0.1617962,0.008035296,0.0006760144,0.00006695588,0.00009356409,0.000231703,0.09244963],"genre_scores_gemma":[0.9736682,0.0005384682,0.01186274,0.0002710022,0.0003913381,0.00004593513,0.00004516892,0.00003813062,0.01313899],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004635026,"threshold_uncertainty_score":0.01550573,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01114395925308624,"score_gpt":0.2800997791863593,"score_spread":0.268955819933273,"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."}}