{"id":"https://openalex.org/W7224112706","doi":"https://doi.org/10.48550/arxiv.2610.36119","title":"Fukaya categories of surfaces with DG coefficients","display_name":"Fukaya categories of surfaces with DG coefficients","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7224112706","doi":"https://doi.org/10.48550/arxiv.2610.36119"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.36119","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36119","pdf_url":"https://arxiv.org/pdf/2610.36119","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/2610.36119","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005639051","display_name":"Daniil Mamaev","orcid":"https://orcid.org/0000-0002-7606-4276","observed_orcids":["https://orcid.org/0000-0002-7606-4276"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Mamaev, Daniil","raw_affiliation_strings":["Centre for Geometry and Physics , Uppsala University , 75106 Uppsala , Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Geometry and Physics , Uppsala University , 75106 Uppsala , Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005639051"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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":0.9179999828338623,"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":0.9179999828338623,"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":0.03680000081658363,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.026399999856948853,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fukaya-category","display_name":"Fukaya category","score":0.9380000233650208},{"id":"https://openalex.org/keywords/differential-graded-categories","display_name":"differential graded categories","score":0.6949999928474426},{"id":"https://openalex.org/keywords/compact-surfaces","display_name":"compact surfaces","score":0.7080000042915344},{"id":"https://openalex.org/keywords/wrapped-fukaya-category","display_name":"wrapped Fukaya category","score":0.8450000286102295},{"id":"https://openalex.org/keywords/arc-system","display_name":"arc systems","score":0.6290000081062317},{"id":"https://openalex.org/keywords/quasi-equivalence","display_name":"quasi-equivalence","score":0.8140000104904175}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7473000288009644},{"id":"https://openalex.org/C2780617661","wikidata":"https://www.wikidata.org/wiki/Q541563","display_name":"Subcategory","level":2,"score":0.6784999966621399},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6553999781608582},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.5670999884605408},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.534600019454956},{"id":"https://openalex.org/C109593458","wikidata":"https://www.wikidata.org/wiki/Q5262626","display_name":"Derived category","level":3,"score":0.48750001192092896},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.48019999265670776},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4343999922275543},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.40959998965263367},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39730000495910645},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.39559999108314514},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.37619999051094055},{"id":"https://openalex.org/C7979169","wikidata":"https://www.wikidata.org/wiki/Q1142143","display_name":"Cotangent bundle","level":3,"score":0.3612000048160553},{"id":"https://openalex.org/C206236147","wikidata":"https://www.wikidata.org/wiki/Q3555165","display_name":"Covariance and contravariance of vectors","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C207789664","wikidata":"https://www.wikidata.org/wiki/Q1547297","display_name":"Gromov\u2013Witten invariant","level":5,"score":0.33649998903274536},{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C90685605","wikidata":"https://www.wikidata.org/wiki/Q764115","display_name":"Projective line","level":4,"score":0.28769999742507935},{"id":"https://openalex.org/C83177873","wikidata":"https://www.wikidata.org/wiki/Q2000555","display_name":"Category of topological spaces","level":5,"score":0.2700999975204468},{"id":"https://openalex.org/C143161588","wikidata":"https://www.wikidata.org/wiki/Q906907","display_name":"Coherent sheaf","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.36119","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36119","pdf_url":"https://arxiv.org/pdf/2610.36119","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.2610.36119","doi":"https://doi.org/10.48550/arxiv.2610.36119","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.36119","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.36119","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36119","pdf_url":"https://arxiv.org/pdf/2610.36119","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":[{"id":"https://openalex.org/G1536757145","display_name":"EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface: London School of Geometry and Number Theory","funder_award_id":"EP/S021590/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5655743619","display_name":"Center for Geometry and Physics","funder_award_id":"2022-06593","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320320286","display_name":"University College London","ror":"https://ror.org/02jx3x895"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320324119","display_name":"Uppsala Universitet","ror":"https://ror.org/048a87296"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224112706.pdf","grobid_xml":"https://content.openalex.org/works/W7224112706.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1916285728","https://openalex.org/W1919635985","https://openalex.org/W1991822967","https://openalex.org/W2035259373","https://openalex.org/W2592040878","https://openalex.org/W2785626087","https://openalex.org/W4289544191"],"related_works":["https://openalex.org/W2012003321","https://openalex.org/W2006304902","https://openalex.org/W7096447120","https://openalex.org/W7101087110","https://openalex.org/W2062763731","https://openalex.org/W4403305178","https://openalex.org/W3154281761","https://openalex.org/W4286983750","https://openalex.org/W1541870992","https://openalex.org/W4394866591"],"abstract_inverted_index":{"Given":[0],"a":[1,6,9,15,21,32,46,93,100,105,138],"compact":[2],"surface":[3],"$S$":[4],"admitting":[5],"Liouville":[7],"form,":[8],"finite":[10],"set":[11],"$Q":[12],"\\subset":[13],"S$,":[14],"line":[16,65],"field":[17],"on":[18,26,113],"$S$,":[19],"and":[20,67,75,104,146],"local":[22],"system":[23],"of":[24,34,61,64,68,71,80,83,89,140],"dg-categories":[25],"$S":[27],"\\setminus":[28],"Q$":[29],"together":[30],"with":[31],"section":[33],"the":[35,72,90,119,124,141,149],"monodromy":[36],"functor":[37],"around":[38],"each":[39],"interior":[40],"$q":[41],"\\in":[42],"Q$,":[43],"we":[44,136],"construct":[45],"Fukaya":[47,54,78,91],"category.":[48],"We":[49,85,116],"give":[50],"examples":[51],"where":[52],"such":[53],"categories":[55,60,79],"are":[56],"quasi-equivalent":[57],"to":[58,76],"derived":[59],"projective":[62],"completions":[63],"bundles":[66,82],"iterated":[69],"blow-ups":[70],"affine":[73],"plane;":[74],"wrapped":[77],"cotangent":[81],"spheres.":[84],"define":[86,133],"two":[87],"versions":[88],"category,":[92],"topological,":[94],"which":[95,107],"is":[96],"constructed":[97],"combinatorially":[98],"from":[99],"full":[101],"arc":[102],"system,":[103],"geometric,":[106],"includes":[108],"all":[109],"Lagrangian":[110,134],"branes":[111,135],"supported":[112],"immersed":[114],"curves.":[115],"prove":[117],"that":[118],"topological":[120],"category":[121,126],"embeds":[122],"into":[123],"geometric":[125],"in":[127],"an":[128],"essentially":[129],"unique":[130],"way.":[131],"To":[132],"develop":[137],"generalisation":[139],"Chekanov--Eliashberg":[142],"algebra":[143],"incorporating":[144],"dg-coefficients":[145],"wrapping":[147],"along":[148],"boundary.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-10-29T00:00:00"}