{"id":"https://openalex.org/W4411599546","doi":"https://doi.org/10.1112/blms.70125","title":"Cohomology of type B$B$ real permutohedral varieties","display_name":"Cohomology of type B$B$ real permutohedral varieties","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4411599546","doi":"https://doi.org/10.1112/blms.70125"},"language":"en","primary_location":{"id":"doi:10.1112/blms.70125","doi":"https://doi.org/10.1112/blms.70125","is_oa":false,"landing_page_url":"https://doi.org/10.1112/blms.70125","pdf_url":null,"source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2501.09496","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112663560","display_name":"Younghan Yoon","orcid":"https://orcid.org/0009-0001-2603-8205","observed_orcids":["https://orcid.org/0009-0001-2603-8205"]},"institutions":[{"id":"https://openalex.org/I57664883","display_name":"Ajou University","ror":"https://ror.org/03tzb2h73","country_code":"KR","type":"education","lineage":["https://openalex.org/I57664883"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Younghan Yoon","raw_affiliation_strings":["Department of Mathematics Ajou University Suwon Republic of Korea"],"raw_orcid":"https://orcid.org/0009-0001-2603-8205","affiliations":[{"raw_affiliation_string":"Department of Mathematics Ajou University Suwon Republic of Korea","institution_ids":["https://openalex.org/I57664883"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112663560"],"corresponding_institution_ids":["https://openalex.org/I57664883"],"apc_list":{"value":3930,"currency":"USD","value_usd":3930},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24087422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"9","first_page":"2770","last_page":"2788"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9463000297546387,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9463000297546387,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.048700001090765,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.002199999988079071,"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/cohomology-ring","display_name":"cohomology ring","score":0.8479999899864197},{"id":"https://openalex.org/keywords/rational-cohomology","display_name":"rational cohomology","score":0.7749999761581421},{"id":"https://openalex.org/keywords/alternating-permutations","display_name":"alternating permutations","score":0.7639999985694885},{"id":"https://openalex.org/keywords/snakes","display_name":"snakes","score":0.6349999904632568},{"id":"https://openalex.org/keywords/betti-numbers","display_name":"Betti numbers","score":0.871999979019165},{"id":"https://openalex.org/keywords/multiplicative-structure","display_name":"multiplicative structure","score":0.8889999985694885}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9387892484664917},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6589745283126831},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6291887164115906},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4988105297088623},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.03178486227989197},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.02717769145965576}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/blms.70125","doi":"https://doi.org/10.1112/blms.70125","is_oa":false,"landing_page_url":"https://doi.org/10.1112/blms.70125","pdf_url":null,"source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2501.09496","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2501.09496","pdf_url":"https://arxiv.org/pdf/2501.09496","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2501.09496","doi":"https://doi.org/10.48550/arxiv.2501.09496","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2501.09496","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2501.09496","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2501.09496","pdf_url":"https://arxiv.org/pdf/2501.09496","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2751728290","display_name":null,"funder_award_id":"NRF-2021R1A6A1A10044950","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3483473639","display_name":null,"funder_award_id":"NRF\u20102021R1A6A1A10044950","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G5601841100","display_name":null,"funder_award_id":"2021R1A6A1A10044950","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G6972313702","display_name":null,"funder_award_id":"2021R1A6A1A10044950","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411599546.pdf","grobid_xml":"https://content.openalex.org/works/W4411599546.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1603181730","https://openalex.org/W1976069242","https://openalex.org/W1996908655","https://openalex.org/W2055828174","https://openalex.org/W2284347387","https://openalex.org/W2330548796","https://openalex.org/W2963574255","https://openalex.org/W2982518215","https://openalex.org/W2997389364","https://openalex.org/W4205502224","https://openalex.org/W4392891722","https://openalex.org/W4395030658","https://openalex.org/W4403679085","https://openalex.org/W6843339243"],"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":{"Abstract":[0],"Type":[1],"and":[2,11,33],"type":[3,32,34,43,62,87],"permutohedral":[4,36,45,64,89],"varieties":[5,46,65,90],"are":[6,15,47],"classic":[7],"examples":[8],"of":[9,23,26,42,52,61,71,82,86,93],"mathematics,":[10],"their":[12,27],"topological":[13],"invariants":[14],"well\u2010known.":[16],"This":[17],"naturally":[18],"leads":[19],"to":[20],"the":[21,24,79,83],"investigation":[22],"topology":[25],"real":[28,35,44,63,88],"loci,":[29],"known":[30],"as":[31],"varieties.":[37],"The":[38],"rational":[39,58],"cohomology":[40,84],"rings":[41,85],"fully":[48],"described":[49,68],"in":[50,69,91],"terms":[51,70,92],"alternating":[53],"permutations.":[54],"Until":[55],"now,":[56],"only":[57],"Betti":[59],"numbers":[60],"have":[66],"been":[67],"\u2010snakes.":[72,94],"In":[73],"this":[74],"paper,":[75],"we":[76],"explicitly":[77],"describe":[78],"multiplicative":[80],"structure":[81]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
