{"id":"https://openalex.org/W7214054485","doi":"https://doi.org/10.48550/arxiv.2609.23884","title":"Kodaira fibres and wrapped Floer cohomology","display_name":"Kodaira fibres and wrapped Floer cohomology","publication_year":2026,"publication_date":"2026-09-20","ids":{"openalex":"https://openalex.org/W7214054485","doi":"https://doi.org/10.48550/arxiv.2609.23884"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.23884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23884","pdf_url":"https://arxiv.org/pdf/2609.23884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.23884","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070205111","display_name":"Yank\u0131 Lekili","orcid":"https://orcid.org/0000-0001-8403-5996","observed_orcids":["https://orcid.org/0000-0001-8403-5996"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lekili, Yanki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5070205111"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.6942999958992004,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.6942999958992004,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.2257000058889389,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/holomorphic-disks","display_name":"holomorphic disks","score":0.7160000205039978},{"id":"https://openalex.org/keywords/wrapped-fukaya-category","display_name":"wrapped Fukaya category","score":0.847000002861023},{"id":"https://openalex.org/keywords/quiver-algebras","display_name":"quiver algebras","score":0.8669999837875366},{"id":"https://openalex.org/keywords/formality","display_name":"formality","score":0.9100000262260437},{"id":"https://openalex.org/keywords/mirror-symmetry","display_name":"mirror symmetry","score":0.6690000295639038},{"id":"https://openalex.org/keywords/affine-surfaces","display_name":"affine surfaces","score":0.45100000500679016}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8392000198364258},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6816999912261963},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.6642000079154968},{"id":"https://openalex.org/C54486226","wikidata":"https://www.wikidata.org/wiki/Q493941","display_name":"Fibration","level":3,"score":0.640999972820282},{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.5896000266075134},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5644999742507935},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5425000190734863},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5006999969482422},{"id":"https://openalex.org/C143782950","wikidata":"https://www.wikidata.org/wiki/Q40460","display_name":"Orbifold","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.38960000872612},{"id":"https://openalex.org/C5052557","wikidata":"https://www.wikidata.org/wiki/Q1528306","display_name":"Toric variety","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.36739999055862427},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.3515999913215637},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.32760000228881836},{"id":"https://openalex.org/C2780212368","wikidata":"https://www.wikidata.org/wiki/Q7840150","display_name":"Triangulated category","level":4,"score":0.3183000087738037},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C154610627","wikidata":"https://www.wikidata.org/wiki/Q382491","display_name":"Affine plane (incidence geometry)","level":3,"score":0.30799999833106995},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C2780580338","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Adjunction","level":2,"score":0.3059999942779541},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.28839999437332153},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.2872999906539917},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.25429999828338623}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.23884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23884","pdf_url":"https://arxiv.org/pdf/2609.23884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.23884","doi":"https://doi.org/10.48550/arxiv.2609.23884","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.23884","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.23884","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23884","pdf_url":"https://arxiv.org/pdf/2609.23884","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214054485.pdf","grobid_xml":"https://content.openalex.org/works/W7214054485.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W59775704","https://openalex.org/W1487965519","https://openalex.org/W1489426855","https://openalex.org/W1491972180","https://openalex.org/W1532186396","https://openalex.org/W1806195193","https://openalex.org/W1885486388","https://openalex.org/W1973314736","https://openalex.org/W2010200610","https://openalex.org/W2042381550","https://openalex.org/W2055644136","https://openalex.org/W2063500828","https://openalex.org/W2089671343","https://openalex.org/W2132521725","https://openalex.org/W2164633206","https://openalex.org/W2524761166","https://openalex.org/W2574088577","https://openalex.org/W2684719716","https://openalex.org/W2952863360","https://openalex.org/W2963599571","https://openalex.org/W2963673176","https://openalex.org/W2964116541","https://openalex.org/W3004995380","https://openalex.org/W3009108481","https://openalex.org/W3020837904","https://openalex.org/W3036643741","https://openalex.org/W3093431127","https://openalex.org/W3156939535","https://openalex.org/W3183857812","https://openalex.org/W4289544191","https://openalex.org/W4291310224","https://openalex.org/W4301458152","https://openalex.org/W4394653703","https://openalex.org/W4402413973","https://openalex.org/W7163544167","https://openalex.org/W7168298011","https://openalex.org/W7203618208","https://openalex.org/W7204243055"],"related_works":["https://openalex.org/W4398783817","https://openalex.org/W2802338188","https://openalex.org/W2602022573","https://openalex.org/W3119914872","https://openalex.org/W2983754876","https://openalex.org/W2952863360","https://openalex.org/W2098122429","https://openalex.org/W7099015227","https://openalex.org/W2061664703","https://openalex.org/W2574088577"],"abstract_inverted_index":{"Let":[0],"$F$":[1,34],"be":[2,20],"a":[3,7,21,30,36,44,108,121],"singular":[4],"fibre":[5],"of":[6,33,58,75,101,112,135,167],"relatively":[8],"minimal":[9],"complex":[10],"elliptic":[11],"fibration":[12],"with":[13,47,124],"smooth":[14],"total":[15],"space,":[16],"and":[17,64,78,120,130,156,161],"let":[18],"$\u03a9$":[19],"nonvanishing":[22],"holomorphic":[23,52],"two-form":[24],"near":[25],"$F$.":[26,59],"We":[27],"show":[28],"that":[29,80],"small":[31],"neighbourhood":[32],"is":[35,43,82,96],"Weinstein":[37],"domain":[38],"for":[39,115,126,152,174],"$\\mathrm{Re}\\,\u03a9$":[40],"whose":[41],"completion":[42],"Legendrian":[45],"surgery,":[46],"cocores":[48,77,88],"obtained":[49],"by":[50,143,164],"completing":[51],"disks":[53],"transverse":[54],"to":[55,98],"the":[56,71,91,99,116,136,175],"components":[57],"For":[60],"every":[61,65,148],"coefficient":[62],"field":[63],"multiplicative":[66,109],"bulk":[67,150,172],"class,":[68],"we":[69],"compute":[70],"wrapped":[72,93],"Floer":[73],"cohomology":[74],"these":[76],"prove":[79],"it":[81],"concentrated":[83],"in":[84],"degree":[85],"zero.":[86],"The":[87],"generate,":[89],"so":[90],"bulk-deformed":[92],"Fukaya":[94],"category":[95,100],"equivalent":[97],"perfect":[102],"modules":[103],"over":[104],"an":[105],"explicit":[106],"algebra:":[107],"preprojective":[110],"algebra":[111,123],"affine":[113,137,145,153,177],"type":[114],"normal":[117],"crossing":[118],"fibres,":[119],"quiver":[122],"relations":[125],"types":[127,157],"$II$,":[128],"$III$":[129],"$IV$.":[131],"Applications":[132],"include":[133],"formality":[134],"plumbing":[138],"dg":[139],"algebras;":[140],"mirrors":[141,162],"given":[142,163],"resolved":[144],"surfaces":[146],"at":[147,170],"classical":[149],"class":[151],"D,":[154],"E":[155],"II,":[158],"III,":[159],"IV;":[160],"quotient":[165],"stacks":[166],"algebraic":[168],"tori":[169],"root-of-unity":[171],"classes":[173],"four":[176],"stars.":[178]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-23T00:00:00"}