{"id":"https://openalex.org/W7221809720","doi":"https://doi.org/10.48550/arxiv.2610.15817","title":"Koszul Duality in an Equivariant Context","display_name":"Koszul Duality in an Equivariant Context","publication_year":2026,"publication_date":"2026-10-11","ids":{"openalex":"https://openalex.org/W7221809720","doi":"https://doi.org/10.48550/arxiv.2610.15817"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.15817","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15817","pdf_url":"https://arxiv.org/pdf/2610.15817","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/2610.15817","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5158706683","display_name":"Sof\u00eda Mart\u00ednez Alberga","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alberga, Sof\u00eda Mart\u00ednez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5158706683"],"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":0.9810000061988831,"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":0.9810000061988831,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.014999999664723873,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.000699999975040555,"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/koszul-duality","display_name":"Koszul duality","score":0.9980000257492065},{"id":"https://openalex.org/keywords/equivariant-homotopy-theory","display_name":"equivariant homotopy theory","score":0.9449999928474426},{"id":"https://openalex.org/keywords/dg-algebras","display_name":"DG algebras","score":0.6759999990463257},{"id":"https://openalex.org/keywords/orbit-category","display_name":"orbit category","score":0.8240000009536743},{"id":"https://openalex.org/keywords/homotopy-theory","display_name":"homotopy theory","score":0.6980000138282776}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.7935000061988831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7343000173568726},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7225000262260437},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6158000230789185},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5979999899864197},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5034999847412109},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4700999855995178},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.39469999074935913},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.2838999927043915}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.15817","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15817","pdf_url":"https://arxiv.org/pdf/2610.15817","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.2610.15817","doi":"https://doi.org/10.48550/arxiv.2610.15817","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.15817","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:2610.15817","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15817","pdf_url":"https://arxiv.org/pdf/2610.15817","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221809720.pdf","grobid_xml":"https://content.openalex.org/works/W7221809720.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1563989028","https://openalex.org/W4400379069","https://openalex.org/W7133657835"],"related_works":["https://openalex.org/W1674630831","https://openalex.org/W7095148061","https://openalex.org/W2081212636","https://openalex.org/W4409505333","https://openalex.org/W1998923909","https://openalex.org/W6998416837","https://openalex.org/W1893272992","https://openalex.org/W2163915403","https://openalex.org/W7096644281","https://openalex.org/W1541078734"],"abstract_inverted_index":{"This":[0],"article":[1,42],"takes":[2],"steps":[3],"to":[4],"show":[5],"that":[6],"an":[7],"equivariant":[8],"version":[9],"of":[10,15],"the":[11,33],"well":[12],"known":[13],"phenomena":[14],"Koszul":[16],"Duality":[17],"can":[18],"be":[19],"formulated":[20],"in":[21,40,49],"a":[22],"manner":[23],"not":[24],"considered":[25],"prior:":[26],"via":[27],"dg":[28],"(co)algebra":[29],"valued":[30],"functors":[31],"on":[32],"orbit":[34],"category.":[35],"As":[36],"such":[37],"techniques":[38],"used":[39],"this":[41],"mix":[43],"traditional":[44],"and":[45],"modern":[46],"categorical":[47],"methods":[48],"homotopy":[50],"theory.":[51]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-15T00:00:00"}