{"id":"https://openalex.org/W2101129719","doi":"https://doi.org/10.1080/10586458.2018.1448018","title":"Quantum Periods for Certain Four-Dimensional Fano Manifolds","display_name":"Quantum Periods for Certain Four-Dimensional Fano Manifolds","publication_year":2018,"publication_date":"2018-08-29","ids":{"openalex":"https://openalex.org/W2101129719","doi":"https://doi.org/10.1080/10586458.2018.1448018","mag":"2101129719"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2018.1448018","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1448018","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2018.1448018?needAccess=true","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2018.1448018?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Tom Coates","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tom Coates","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sergey Galkin","orcid":"https://orcid.org/0000-0003-3175-2670"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey Galkin","raw_affiliation_strings":["Faculty of Mathematics and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0003-3175-2670","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Alexander Kasprzyk","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alexander Kasprzyk","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":null,"display_name":"Andrew Strangeway","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew Strangeway","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0672,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71579033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"29","issue":"2","first_page":"183","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.5860999822616577,"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/T12351","display_name":"Geometry and complex manifolds","score":0.5860999822616577,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.14249999821186066,"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":0.09459999948740005,"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/fano-plane","display_name":"Fano plane","score":0.9891999959945679},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4526999890804291},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.3871000111103058},{"id":"https://openalex.org/keywords/fano-resonance","display_name":"Fano resonance","score":0.27160000801086426},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.27149999141693115}],"concepts":[{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.9891999959945679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7213000059127808},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41449999809265137},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3871000111103058},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2858999967575073},{"id":"https://openalex.org/C23400741","wikidata":"https://www.wikidata.org/wiki/Q901501","display_name":"Fano resonance","level":3,"score":0.27160000801086426},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.27149999141693115},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2615000009536743},{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1080/10586458.2018.1448018","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1448018","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2018.1448018?needAccess=true","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:eprints.nottingham.ac.uk:50152","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402014","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1406.4891","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.4891","pdf_url":"https://arxiv.org/pdf/1406.4891","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,"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:spiral.imperial.ac.uk:10044/1/31629","is_oa":false,"landing_page_url":"http://arxiv.org/abs/1406.4891v3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Working Paper"},{"id":"pmh:oai:nottingham-repository.worktribe.com:917004","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/917004","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/57785","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/57785","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"221","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1080/10586458.2018.1448018","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1448018","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2018.1448018?needAccess=true","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G176017220","display_name":null,"funder_award_id":"EP/K030760/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6000271606","display_name":"Extremal Laurent Polynomials","funder_award_id":"EP/I008128/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6374511194","display_name":null,"funder_award_id":"MK-1297.2014.1","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G6440322536","display_name":null,"funder_award_id":"240123","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G8700811484","display_name":null,"funder_award_id":"EP/I008128/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8842548244","display_name":null,"funder_award_id":"EP/N022513/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W6966139","https://openalex.org/W81987926","https://openalex.org/W1524797899","https://openalex.org/W1526029923","https://openalex.org/W1595115131","https://openalex.org/W1973936043","https://openalex.org/W1976677460","https://openalex.org/W2029485880","https://openalex.org/W2031182004","https://openalex.org/W2035601195","https://openalex.org/W2036195184","https://openalex.org/W2056831060","https://openalex.org/W2072341992","https://openalex.org/W2092925227","https://openalex.org/W2095430016","https://openalex.org/W2095688067","https://openalex.org/W2097534005","https://openalex.org/W2121326231","https://openalex.org/W2135134285","https://openalex.org/W2890686398","https://openalex.org/W3087991662","https://openalex.org/W3148953070","https://openalex.org/W4234790077","https://openalex.org/W4242201328","https://openalex.org/W4248269519"],"related_works":[],"abstract_inverted_index":{"We":[0],"collect":[1],"a":[2],"list":[3,15],"of":[4,21,34],"known":[5],"four-dimensional":[6,18,27,32],"Fano":[7,19,29,36],"manifolds":[8,20],"and":[9,38],"compute":[10],"their":[11],"quantum":[12],"periods.":[13],"This":[14],"includes":[16],"all":[17,26,31],"index":[22],"greater":[23],"than":[24],"one,":[25],"toric":[28],"manifolds,":[30,37],"products":[33],"lower-dimensional":[35],"certain":[39],"complete":[40],"intersections":[41],"in":[42],"projective":[43],"bundles.":[44]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}
