{"id":"W4417070250","doi":"10.1142/s179352532650010x","title":"Shelukhin’s Hofer distance and a symplectic cohomology barcode for contactomorphisms","year":2025,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Barcode; Boundary (topology); Bounded function; Ideal (ethics); Symplectic geometry; Construct (python library); Cohomology; Monotone polygon","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0004776148,0.00037604,0.0005324117,0.002324752,0.0008940409,0.001062935,0.0007658256,0.0006980664,0.003706555],"category_scores_gemma":[0.002172269,0.0002291728,0.0003940768,0.0005930066,0.002598795,0.003669305,0.002666527,0.001532004,0.0003761947],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000724163,"about_ca_system_score_gemma":0.0004042338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005304206,"about_ca_topic_score_gemma":0.0003501933,"domain_scores_codex":[0.9995219,0.00006219917,0.00001780613,0.0001142577,0.0001829088,0.0001010917],"domain_scores_gemma":[0.9985009,0.0003734444,0.0002920362,0.0001370624,0.0002252436,0.000471393],"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":[0.00003709332,0.00002836107,0.001274494,0.00004206102,0.000006451879,0.0001699802,0.000481233,0.00156614,0.005614513,0.9834813,0.0002833297,0.007014946],"study_design_scores_gemma":[0.00003345192,0.0002308771,0.007013011,0.00003521759,0.00002190402,0.000753514,0.0005626231,0.04124118,0.009090601,0.9337036,0.007244321,0.00006972632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8736368,0.0003867789,0.1068081,0.0005869389,0.00007636304,0.00002549534,0.00008976526,0.0001486755,0.01824115],"genre_scores_gemma":[0.9869965,0.0001595152,0.008352208,0.00006696885,0.00007694722,0.00002437618,0.00006805519,0.00003431533,0.004220997],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003706555,"threshold_uncertainty_score":0.01239961,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01813392918407805,"score_gpt":0.3267464051605845,"score_spread":0.3086124759765064,"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."}}