{"id":"W4415815556","doi":"10.2140/agt.2025.25.3875","title":"Product and coproduct on fixed point Floer homology of positive Dehn twists","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","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; National Science Foundation","keywords":"Coproduct; Floer homology; Fixed point; Product (mathematics); Homology (biology); Khovanov homology; Dehn surgery","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":[0.001061008,0.001158312,0.001230957,0.005428874,0.002887123,0.003981289,0.00137929,0.001309462,0.008806729],"category_scores_gemma":[0.001933855,0.0006617155,0.0007963793,0.002015966,0.004875343,0.006142236,0.00402226,0.002848165,0.0008871128],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002167041,"about_ca_system_score_gemma":0.0005761058,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001473885,"about_ca_topic_score_gemma":0.00123129,"domain_scores_codex":[0.9992514,0.0001288223,0.00002890761,0.0001556424,0.0002202192,0.0002148437],"domain_scores_gemma":[0.998754,0.0002854237,0.0002373279,0.0001125852,0.0002530813,0.000357601],"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":[0.00002992306,0.00002339119,0.0002308359,0.00001470019,0.000007258687,0.0001143105,0.0003970092,0.0004659434,0.0007555957,0.9948231,0.0004044544,0.002733395],"study_design_scores_gemma":[0.00001738404,0.00004192577,0.0006980809,0.00001505505,0.00001048409,0.0002016704,0.0003105062,0.002856545,0.0005692394,0.9932055,0.002051215,0.00002238508],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8098744,0.0008235584,0.0485642,0.001379588,0.0004989207,0.00006589406,0.000284138,0.0002131961,0.1382961],"genre_scores_gemma":[0.9761553,0.0003835048,0.003402674,0.0001570205,0.0002837485,0.00003322449,0.0001794209,0.00008860877,0.01931658],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008806729,"threshold_uncertainty_score":0.02946144,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01645294496256772,"score_gpt":0.2959894332615784,"score_spread":0.2795364882990107,"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."}}