{"id":"https://openalex.org/W3115963418","doi":"https://doi.org/10.48550/arxiv.2012.15171","title":"The relative hermitian duality functor","display_name":"The relative hermitian duality functor","publication_year":2020,"publication_date":"2020-12-30","ids":{"openalex":"https://openalex.org/W3115963418","doi":"https://doi.org/10.48550/arxiv.2012.15171","mag":"3115963418"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2012.15171","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.15171","pdf_url":"https://arxiv.org/pdf/2012.15171","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/2012.15171","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080381751","display_name":"T\u00e9r\u00e9sa Monteiro Fernandes","orcid":"https://orcid.org/0000-0002-4014-9868","observed_orcids":["https://orcid.org/0000-0002-4014-9868"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fernandes, Teresa Monteiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112196919","display_name":"Claude Sabbah","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210091511","display_name":"Centre de Math\u00e9matiques Laurent Schwartz","ror":"https://ror.org/00b7djk73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210091511","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sabbah, Claude","raw_affiliation_strings":["CMLS , CNRS , \u00c9cole polytechnique , Institut Polytechnique de Paris , 91128 Palaiseau cedex , France","Centre de Math\u00e9matiques Laurent Schwartz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMLS , CNRS , \u00c9cole polytechnique , Institut Polytechnique de Paris , 91128 Palaiseau cedex , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210091511","https://openalex.org/I4210145102"]},{"raw_affiliation_string":"Centre de Math\u00e9matiques Laurent Schwartz","institution_ids":["https://openalex.org/I4210091511"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.3127000033855438,"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"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.3127000033855438,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.29440000653266907,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.13040000200271606,"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/holonomic-d-modules","display_name":"holonomic D-modules","score":0.6570000052452087},{"id":"https://openalex.org/keywords/equivalence-of-categories","display_name":"category equivalence","score":0.5920000076293945}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7856245040893555},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7594037055969238},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7297425270080566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5589002370834351},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4918675422668457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.367389976978302}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2012.15171","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.15171","pdf_url":"https://arxiv.org/pdf/2012.15171","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":"pmh:oai:HAL:hal-03752513v1","doi":null,"is_oa":false,"landing_page_url":"https://polytechnique.hal.science/hal-03752513","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2022","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2012.15171","doi":"https://doi.org/10.48550/arxiv.2012.15171","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.15171","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2012.15171","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.15171","pdf_url":"https://arxiv.org/pdf/2012.15171","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/W3115963418.pdf","grobid_xml":"https://content.openalex.org/works/W3115963418.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W6280609","https://openalex.org/W1532154335","https://openalex.org/W2029544783","https://openalex.org/W2063955675","https://openalex.org/W2066009459","https://openalex.org/W2413362919","https://openalex.org/W2520676872","https://openalex.org/W2607468519","https://openalex.org/W2951341341","https://openalex.org/W4292083229"],"related_works":["https://openalex.org/W7045395648","https://openalex.org/W4404144091","https://openalex.org/W2520676872","https://openalex.org/W145944680","https://openalex.org/W4292083229","https://openalex.org/W4307931030","https://openalex.org/W2901492145","https://openalex.org/W7207593733","https://openalex.org/W1589768906","https://openalex.org/W2606607180"],"abstract_inverted_index":{"We":[0,28],"extend":[1],"to":[2],"the":[3,19,37,41,48,56],"category":[4,39],"of":[5,26,58],"relative":[6,61],"regular":[7,59],"holonomic":[8,60],"modules":[9],"on":[10,40],"a":[11,16,52],"manifold":[12,43],"$X$,":[13],"parametrized":[14,46],"by":[15,47],"curve":[17],"$S$,":[18],"Hermitian":[20],"duality":[21],"functor":[22,32],"(or":[23],"conjugation":[24],"functor)":[25],"Kashiwara.":[27],"prove":[29],"that":[30],"this":[31],"is":[33],"an":[34],"equivalence":[35],"with":[36],"similar":[38],"conjugate":[42],"$\\overline":[44],"X$,":[45],"same":[49],"curve.":[50],"As":[51],"byproduct":[53],"we":[54],"introduce":[55],"notion":[57],"distribution.":[62]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-01-05T00:00:00"}