{"id":"W4294359952","doi":"10.48550/arxiv.1804.02044","title":"Geometry of symplectic flux and Lagrangian torus fibrations","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Courtois Foundation; Instituto Serrapilheira; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; National Science Foundation","keywords":"Symplectic geometry; Isotopy; Submanifold; Symplectomorphism; Mathematics; Lagrangian; Holomorphic function; Torus; Pure mathematics; Polytope; Hamiltonian (control theory); Invariant (physics); Symplectic manifold; Gromov–Witten invariant; Mathematical analysis; Geometry; Mathematical physics; Symplectic representation","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":[0.0003720142,0.0003589522,0.0002851722,0.001591585,0.001128726,0.001610198,0.0002748391,0.0005830458,0.002984487],"category_scores_gemma":[0.0009407301,0.0001639023,0.0002620289,0.0004673487,0.002583374,0.002653627,0.001097766,0.0005474054,0.0002255118],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009227067,"about_ca_system_score_gemma":0.0001982258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009025692,"about_ca_topic_score_gemma":0.0004949041,"domain_scores_codex":[0.999782,0.00004426818,0.000009050879,0.00004527504,0.00007027679,0.00004909162],"domain_scores_gemma":[0.9996393,0.00008004254,0.0000912417,0.00002172523,0.00004984792,0.0001177993],"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":[0.00001991942,0.000007362213,0.0008477942,0.00001608319,0.000002947162,0.0001518088,0.0003720625,0.001982875,0.001811188,0.9925956,0.0002354995,0.001956993],"study_design_scores_gemma":[0.00001914819,0.00005432821,0.005140416,0.00003031483,0.00000724403,0.0006262906,0.0006189453,0.01780337,0.001428808,0.969067,0.005185424,0.00001877395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9373207,0.000713449,0.02724315,0.0006752496,0.00004764668,0.00001990007,0.0001674063,0.00004839918,0.03376428],"genre_scores_gemma":[0.994464,0.000212132,0.00215773,0.00002268361,0.00005113123,0.00001091942,0.00005750785,0.00001445134,0.003009481],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002984487,"threshold_uncertainty_score":0.009984136,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09227283309115612,"score_gpt":0.2204735192445612,"score_spread":0.128200686153405,"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."}}