{"id":"W3103675356","doi":"10.4153/cjm-2005-039-x","title":"Deformations of<i>G</i><sub>2</sub>and Spin(7) Structures","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Harvard University","keywords":"Holonomy; Mathematics; Vector field; Manifold (fluid mechanics); Spin (aerodynamics); Product (mathematics); Metric (unit); Field (mathematics); Pure mathematics; Spin structure; Mathematical analysis; Geometry; Physics; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006382075,0.0001501229,0.0004620941,0.000601567,0.0001019028,0.00005972554,0.0002333193,0.0001025917,0.00007987476],"category_scores_gemma":[0.0009046861,0.0001168556,0.0001810007,0.0004261317,0.00008823247,0.0002265191,0.0000137931,0.0002315614,0.000007495438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007073488,"about_ca_system_score_gemma":0.0003491197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004765943,"about_ca_topic_score_gemma":0.003813963,"domain_scores_codex":[0.9985381,0.00002965704,0.0008384294,0.00007139855,0.0002865558,0.0002358145],"domain_scores_gemma":[0.9980969,0.0002051413,0.0007114304,0.0002296488,0.000347509,0.0004093313],"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":[0.00001599109,0.0004542695,0.003478009,0.002078023,0.001922727,0.0001150412,0.02855499,0.00155661,0.006012067,0.8066834,0.06837721,0.08075166],"study_design_scores_gemma":[0.00270365,0.0005060961,0.005515487,0.001092025,0.00239281,0.00319389,0.01464024,0.005936265,0.04216133,0.8928397,0.02762639,0.001392086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9841194,0.0009031334,0.01309499,0.0003802319,0.0001007859,0.00009139817,0.00001549866,0.000005403715,0.00128915],"genre_scores_gemma":[0.9556727,0.00005618718,0.043995,0.00006868471,0.0001555945,6.706834e-7,0.00000116103,0.00001809689,0.00003184941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08615632,"threshold_uncertainty_score":0.4765235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02051496599246206,"score_gpt":0.247996249328097,"score_spread":0.2274812833356349,"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."}}