{"id":"https://openalex.org/W2043451978","doi":"https://doi.org/10.1016/j.aim.2003.07.019","title":"Twisted modules over vertex algebras on algebraic curves","display_name":"Twisted modules over vertex algebras on algebraic curves","publication_year":2003,"publication_date":"2003-11-21","ids":{"openalex":"https://openalex.org/W2043451978","doi":"https://doi.org/10.1016/j.aim.2003.07.019","mag":"2043451978"},"language":"en","primary_location":{"id":"doi:10.1016/j.aim.2003.07.019","doi":"https://doi.org/10.1016/j.aim.2003.07.019","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2003.07.019","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.aim.2003.07.019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024680446","display_name":"Edward V. Frenkel","orcid":"https://orcid.org/0000-0001-6519-8132","observed_orcids":["https://orcid.org/0000-0001-6519-8132"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward Frenkel","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley CA 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036639540","display_name":"Matthew Szczesny","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Szczesny","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley CA 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":null,"fwci":4.7809,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.95058981,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"187","issue":"1","first_page":"195","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9965999722480774,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9965999722480774,"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":0.0008999999845400453,"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":0.0005000000237487257,"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/twisted-modules","display_name":"twisted modules","score":0.8899999856948853},{"id":"https://openalex.org/keywords/vertex-algebras","display_name":"vertex algebras","score":0.9990000128746033},{"id":"https://openalex.org/keywords/algebraic-curves","display_name":"algebraic curves","score":0.8700000047683716},{"id":"https://openalex.org/keywords/orbifold-models","display_name":"orbifold models","score":0.9449999928474426},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"conformal field theory","score":0.9900000095367432},{"id":"https://openalex.org/keywords/equivariant-vector-bundles","display_name":"equivariant vector bundles","score":0.9900000095367432},{"id":"https://openalex.org/keywords/conformal-blocks","display_name":"conformal blocks","score":0.9890000224113464},{"id":"https://openalex.org/keywords/chiral-algebras","display_name":"chiral algebras","score":0.9950000047683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9244402647018433},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.684203028678894},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5128365159034729},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49279120564460754},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4302579164505005},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.4193874001502991},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.4167097210884094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25145792961120605},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12560901045799255},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.04966360330581665}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1016/j.aim.2003.07.019","doi":"https://doi.org/10.1016/j.aim.2003.07.019","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2003.07.019","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0112211","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0112211","pdf_url":"https://arxiv.org/pdf/math/0112211","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:CiteSeerX.psu:10.1.1.150.9372","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.9372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.bu.edu/people/szczesny/Papers/tvops.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.235.6891","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.6891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0112211v3.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.236.8446","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.8446","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0112211v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.237.7914","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.7914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0112211v2.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.math/0112211","doi":"https://doi.org/10.48550/arxiv.math/0112211","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0112211","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.aim.2003.07.019","doi":"https://doi.org/10.1016/j.aim.2003.07.019","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aim.2003.07.019","pdf_url":null,"source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1534275946","https://openalex.org/W1557428207","https://openalex.org/W1594578859","https://openalex.org/W1603745842","https://openalex.org/W1620687752","https://openalex.org/W1802623620","https://openalex.org/W1984227575","https://openalex.org/W1988175693","https://openalex.org/W2023804668","https://openalex.org/W2057837741","https://openalex.org/W2110863704","https://openalex.org/W2147649100","https://openalex.org/W2595374219","https://openalex.org/W4232839816","https://openalex.org/W4242217459","https://openalex.org/W4243993464","https://openalex.org/W6604317318","https://openalex.org/W6631894883","https://openalex.org/W6636563021","https://openalex.org/W6823792057"],"related_works":["https://openalex.org/W2002831093","https://openalex.org/W4302340261","https://openalex.org/W2952227937","https://openalex.org/W2158253985","https://openalex.org/W2964202745","https://openalex.org/W2603499936","https://openalex.org/W2047742505","https://openalex.org/W2016963718","https://openalex.org/W1864888577","https://openalex.org/W4238420390"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}