{"id":"https://openalex.org/W7214713687","doi":"https://doi.org/10.48550/arxiv.2609.33826","title":"Yet Another Family of Complex Structures on $S^6$","display_name":"Yet Another Family of Complex Structures on $S^6$","publication_year":2026,"publication_date":"2026-09-27","ids":{"openalex":"https://openalex.org/W7214713687","doi":"https://doi.org/10.48550/arxiv.2609.33826"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.33826","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33826","pdf_url":"https://arxiv.org/pdf/2609.33826","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/2609.33826","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153523314","display_name":"Wenfei Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Liu, Wenfei","raw_affiliation_strings":["FB / Mathematik und Informatik , Philipps-Universit\u00e4t Marburg , Hans-Meerwein- Str. 6 , 35032 Marburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FB / Mathematik und Informatik , Philipps-Universit\u00e4t Marburg , Hans-Meerwein- Str. 6 , 35032 Marburg , Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057642595","display_name":"S\u00f6nke Rollenske","orcid":"https://orcid.org/0000-0001-8410-9684","observed_orcids":["https://orcid.org/0000-0001-8410-9684"]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rollenske, S\u00f6nke","raw_affiliation_strings":["FB / Mathematik und Informatik , Philipps-Universit\u00e4t Marburg , Hans-Meerwein- Str. 6 , 35032 Marburg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FB / Mathematik und Informatik , Philipps-Universit\u00e4t Marburg , Hans-Meerwein- Str. 6 , 35032 Marburg , Germany","institution_ids":["https://openalex.org/I161103922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161103922"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9976000189781189,"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":0.9976000189781189,"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":0.0010999999940395355,"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":0.0005000000237487257,"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/complex-structure","display_name":"complex structure","score":0.8460000157356262},{"id":"https://openalex.org/keywords/six-dimensional-sphere","display_name":"six-dimensional sphere","score":0.8299999833106995}],"concepts":[{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6381000280380249},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6198999881744385},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4447000026702881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4296000003814697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2766000032424927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27570000290870667},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2442999929189682},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2433999925851822},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.24199999868869781}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.33826","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33826","pdf_url":"https://arxiv.org/pdf/2609.33826","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.2609.33826","doi":"https://doi.org/10.48550/arxiv.2609.33826","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.33826","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:2609.33826","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33826","pdf_url":"https://arxiv.org/pdf/2609.33826","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/G4959963419","display_name":null,"funder_award_id":"12571046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214713687.pdf","grobid_xml":"https://content.openalex.org/works/W7214713687.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1981942936","https://openalex.org/W2742848208","https://openalex.org/W6891687000","https://openalex.org/W7204129732","https://openalex.org/W7204890313","https://openalex.org/W7204894296","https://openalex.org/W7212008999","https://openalex.org/W7212406400","https://openalex.org/W7214107345"],"related_works":["https://openalex.org/W7221010120","https://openalex.org/W7214775278","https://openalex.org/W2164088276","https://openalex.org/W7215080172","https://openalex.org/W2521635342","https://openalex.org/W2953166720","https://openalex.org/W1491495302","https://openalex.org/W4242742942","https://openalex.org/W1999936695","https://openalex.org/W4309565724"],"abstract_inverted_index":{"Following":[0],"a":[1,9],"similar":[2],"path":[3],"as":[4],"the":[5,21],"recent":[6],"construction":[7],"of":[8],"complex":[10],"structure":[11],"on":[12],"$S^6$":[13],"we":[14],"construct":[15],"another":[16],"such":[17],"family,":[18],"disjoint":[19],"from":[20],"known":[22],"ones.":[23]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}
