{"id":"https://openalex.org/W4409045438","doi":"https://doi.org/10.3390/axioms14040267","title":"Quasi-Elliptic Cohomology of 4-Spheres","display_name":"Quasi-Elliptic Cohomology of 4-Spheres","publication_year":2025,"publication_date":"2025-04-01","ids":{"openalex":"https://openalex.org/W4409045438","doi":"https://doi.org/10.3390/axioms14040267"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040267","pdf_url":"https://www.mdpi.com/2075-1680/14/4/267/pdf?version=1743509746","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/4/267/pdf?version=1743509746","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012348123","display_name":"Zhen Huan","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Huan","raw_affiliation_strings":["Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012348123"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12241878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"267","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994000196456909,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994000196456909,"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":0.9991000294685364,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/spheres","display_name":"SPHERES","score":0.6315295100212097},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.600932776927948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49276140332221985},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41096335649490356},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2867460548877716},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.08699065446853638}],"concepts":[{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.6315295100212097},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.600932776927948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49276140332221985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41096335649490356},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2867460548877716},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.08699065446853638}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040267","pdf_url":"https://www.mdpi.com/2075-1680/14/4/267/pdf?version=1743509746","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4cdbdf9f0a1440bf9f4ba5bd2a7821ee","is_oa":true,"landing_page_url":"https://doaj.org/article/4cdbdf9f0a1440bf9f4ba5bd2a7821ee","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 267 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040267","pdf_url":"https://www.mdpi.com/2075-1680/14/4/267/pdf?version=1743509746","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3427589236","display_name":null,"funder_award_id":"12371068","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409045438.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W168146039","https://openalex.org/W573059742","https://openalex.org/W614287400","https://openalex.org/W956707728","https://openalex.org/W1571072992","https://openalex.org/W1582537727","https://openalex.org/W1979729617","https://openalex.org/W1994861096","https://openalex.org/W1998888358","https://openalex.org/W2002387953","https://openalex.org/W2004923697","https://openalex.org/W2004952984","https://openalex.org/W2031115215","https://openalex.org/W2059033833","https://openalex.org/W2066908218","https://openalex.org/W2071347058","https://openalex.org/W2093947501","https://openalex.org/W2118176923","https://openalex.org/W2126195205","https://openalex.org/W2132482862","https://openalex.org/W2265164959","https://openalex.org/W2283390586","https://openalex.org/W2762144034","https://openalex.org/W2765203175","https://openalex.org/W2951273472","https://openalex.org/W2962903397","https://openalex.org/W2963826113","https://openalex.org/W2976245902","https://openalex.org/W3015819299","https://openalex.org/W3162731386","https://openalex.org/W4239526835","https://openalex.org/W4247695726","https://openalex.org/W4363648861","https://openalex.org/W4384928755","https://openalex.org/W4392195460","https://openalex.org/W4401546184","https://openalex.org/W6682665928"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W3012610311","https://openalex.org/W3119330379","https://openalex.org/W4309566505","https://openalex.org/W4296899415"],"abstract_inverted_index":{"It":[0],"is":[1,21,41],"a":[2,27,48],"famous":[3],"hypothesis":[4,25],"that":[5,23,85],"orbifold":[6],"D-brane":[7],"charges":[8,102],"in":[9,15,33,103],"string":[10],"theory":[11],"can":[12],"be":[13],"classified":[14,32,61],"twisted":[16,34],"equivariant":[17,36,45,59],"K-theory.":[18],"Recently,":[19],"it":[20],"believed":[22],"the":[24,54,79,87,93,100,104,117],"has":[26],"non-trivial":[28],"lift":[29],"to":[30,109,120],"M-branes":[31],"real":[35],"4-Cohomotopy.":[37],"Quasi-elliptic":[38],"cohomology,":[39],"which":[40],"defined":[42],"as":[43],"an":[44],"cohomology":[46,74,112,123],"of":[47,50,76,106],"cyclification":[49],"orbifolds,":[51],"potentially":[52],"interpolates":[53],"two":[55],"statements,":[56],"by":[57,62,81],"approximating":[58],"4-Cohomotopy":[60],"4-sphere":[63],"orbifolds.":[64],"In":[65],"this":[66],"paper":[67],"we":[68],"compute":[69],"Real":[70,110],"and":[71,114],"complex":[72,121],"quasi-elliptic":[73,111,122],"theories":[75],"4-spheres":[77],"under":[78],"action":[80],"some":[82],"finite":[83],"subgroups":[84],"are":[86],"most":[88],"interesting":[89],"isotropy":[90],"groups":[91],"where":[92],"M5-branes":[94],"may":[95],"sit.":[96],"The":[97],"computation":[98],"connects":[99],"M-brane":[101],"presence":[105],"discrete":[107],"symmetries":[108],"theories,":[113],"those":[115],"with":[116],"symmetry":[118],"omitted":[119],"theories.":[124]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}