{"id":"https://openalex.org/W7214770288","doi":"https://doi.org/10.48550/arxiv.2609.35640","title":"Deformations of generalized complex structures on $\\mathcal{G}$-flat transitive Courant algebroids","display_name":"Deformations of generalized complex structures on $\\mathcal{G}$-flat transitive Courant algebroids","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214770288","doi":"https://doi.org/10.48550/arxiv.2609.35640"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.35640","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35640","pdf_url":"https://arxiv.org/pdf/2609.35640","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/2609.35640","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079022990","display_name":"Vicente Cort\u00e9s","orcid":"https://orcid.org/0000-0002-0860-2538","observed_orcids":["https://orcid.org/0000-0002-0860-2538"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cort\u00e9s, Vicente","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5114534370","display_name":"Paula Naomi Pilatus","orcid":"https://orcid.org/0009-0007-5198-6964","observed_orcids":["https://orcid.org/0009-0007-5198-6964"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pilatus, Paula Naomi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.8604000210762024,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.8604000210762024,"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":0.032999999821186066,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.018300000578165054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-complex-structures","display_name":"generalized complex structures","score":0.984000027179718},{"id":"https://openalex.org/keywords/courant-algebroids","display_name":"Courant algebroids","score":0.9800000190734863},{"id":"https://openalex.org/keywords/deformation-theory","display_name":"deformation theory","score":0.7400000095367432},{"id":"https://openalex.org/keywords/nash-moser-implicit-function-theorem","display_name":"Nash-Moser implicit function theorem","score":0.9449999928474426},{"id":"https://openalex.org/keywords/autoequivalences","display_name":"autoequivalences","score":0.9409999847412109},{"id":"https://openalex.org/keywords/inner-derivations","display_name":"inner derivations","score":0.9919999837875366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7696999907493591},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.741100013256073},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.6783999800682068},{"id":"https://openalex.org/C2776503324","wikidata":"https://www.wikidata.org/wiki/Q6543810","display_name":"Lie algebroid","level":3,"score":0.6456000208854675},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5659999847412109},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5306000113487244},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.44929999113082886},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.43549999594688416},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C18109118","wikidata":"https://www.wikidata.org/wiki/Q5251702","display_name":"Deformation theory","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.32519999146461487},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26429998874664307}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.35640","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35640","pdf_url":"https://arxiv.org/pdf/2609.35640","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.2609.35640","doi":"https://doi.org/10.48550/arxiv.2609.35640","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.35640","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:2609.35640","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35640","pdf_url":"https://arxiv.org/pdf/2609.35640","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/G3662799262","display_name":"SFB 1624: H\u00f6here Strukturen, Modulr\u00e4ume und Integrabilit\u00e4t","funder_award_id":"506632645","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G432818845","display_name":null,"funder_award_id":"EXC2121","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7298742525","display_name":"EXC 2121: Quantum Universe","funder_award_id":"390833306","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214770288.pdf","grobid_xml":"https://content.openalex.org/works/W7214770288.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1508849153","https://openalex.org/W2023538357","https://openalex.org/W2063431170","https://openalex.org/W2083067403","https://openalex.org/W2096339278","https://openalex.org/W2111590540","https://openalex.org/W2125161539","https://openalex.org/W2135303393","https://openalex.org/W2150661729","https://openalex.org/W2161305247","https://openalex.org/W2279879699","https://openalex.org/W2329767979","https://openalex.org/W2560878681","https://openalex.org/W2792063339","https://openalex.org/W3121599439","https://openalex.org/W4214573464","https://openalex.org/W4292690420","https://openalex.org/W7164893087","https://openalex.org/W7203715569"],"related_works":["https://openalex.org/W7203715569","https://openalex.org/W7211951285","https://openalex.org/W4414169530","https://openalex.org/W2560878681","https://openalex.org/W7164893087","https://openalex.org/W7100903832","https://openalex.org/W1628119090","https://openalex.org/W2184532342","https://openalex.org/W2321593474","https://openalex.org/W2078861585"],"abstract_inverted_index":{"We":[0],"extend":[1],"Gualtieri's":[2],"deformation":[3,48],"theorem":[4],"for":[5],"generalized":[6],"complex":[7],"structures":[8],"on":[9,26],"exact":[10,78],"Courant":[11,21,60],"algebroids":[12],"to":[13],"the":[14,27,44,52],"more":[15],"general":[16],"class":[17],"of":[18,29,43,46,54,56,77],"$\\mathcal{G}$-flat":[19,58],"transitive":[20,59],"algebroids.":[22],"Our":[23],"approach":[24],"relies":[25],"framework":[28],"tame":[30,64,75],"Fr\u00e9chet":[31,65],"spaces":[32],"and":[33,69],"Hamilton's":[34],"Nash-Moser":[35],"(implicit":[36],"function)":[37],"theorem.":[38],"As":[39],"an":[40],"important":[41],"step":[42],"proof":[45],"our":[47],"theorem,":[49],"we":[50],"endow":[51],"group":[53,67],"autoequivalences":[55],"a":[57,63,74],"algebroid":[61],"with":[62],"Lie":[66],"structure":[68],"show":[70],"that":[71],"there":[72],"exists":[73],"subgroup":[76],"autoequivalences,":[79],"whose":[80],"infinitesimal":[81],"action":[82],"is":[83],"by":[84],"inner":[85],"derivations.":[86]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}