{"id":"https://openalex.org/W7213612223","doi":"https://doi.org/10.48550/arxiv.2609.19945","title":"New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres","display_name":"New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres","publication_year":2026,"publication_date":"2026-09-17","ids":{"openalex":"https://openalex.org/W7213612223","doi":"https://doi.org/10.48550/arxiv.2609.19945"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.19945","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19945","pdf_url":"https://arxiv.org/pdf/2609.19945","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/2609.19945","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152118213","display_name":"Victoria Kovyrshina","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kovyrshina, Victoria","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5092588046","display_name":"\u0422\u0430\u0440\u0430\u0441 \u041f\u0430\u043d\u043e\u0432","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Panov, Taras","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.7567999958992004,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.7567999958992004,"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":0.09870000183582306,"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":0.09470000118017197,"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/moment-angle-manifolds","display_name":"moment-angle manifolds","score":1.0},{"id":"https://openalex.org/keywords/missing-edges","display_name":"missing edges","score":0.6570000052452087},{"id":"https://openalex.org/keywords/diffeomorphism-classification","display_name":"diffeomorphism classification","score":0.7979999780654907}],"concepts":[{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.9298999905586243},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.7660999894142151},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.7465000152587891},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7433000206947327},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.592199981212616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5045999884605408},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4487999975681305},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43290001153945923},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.37290000915527344},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33059999346733093},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.32820001244544983},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.29789999127388},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C167204820","wikidata":"https://www.wikidata.org/wiki/Q912058","display_name":"Simply connected space","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C50955798","wikidata":"https://www.wikidata.org/wiki/Q1890389","display_name":"Connected sum","level":3,"score":0.26840001344680786},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.26330000162124634},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.2533999979496002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.19945","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19945","pdf_url":"https://arxiv.org/pdf/2609.19945","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.2609.19945","doi":"https://doi.org/10.48550/arxiv.2609.19945","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.19945","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.19945","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.19945","pdf_url":"https://arxiv.org/pdf/2609.19945","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":[],"funders":[{"id":"https://openalex.org/F4320324261","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516"},{"id":"https://openalex.org/F4320329591","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69"},{"id":"https://openalex.org/F4320334801","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213612223.pdf","grobid_xml":"https://content.openalex.org/works/W7213612223.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4415333946","https://openalex.org/W7160239930"],"related_works":["https://openalex.org/W2962847304","https://openalex.org/W7160239930","https://openalex.org/W3207136521","https://openalex.org/W2476021588","https://openalex.org/W4402386191","https://openalex.org/W2141204881","https://openalex.org/W330630886","https://openalex.org/W2259265579","https://openalex.org/W3103945778","https://openalex.org/W2050348193"],"abstract_inverted_index":{"We":[0,86],"prove":[1,68],"that":[2,36],"the":[3,45,48,69,92],"moment-angle":[4,93],"manifold":[5],"$\\mathcal":[6,20,62,71],"Z_{\\mathcal":[7,72],"K}$":[8],"is":[9,22,51,80],"diffeomorphic":[10],"to":[11,40,96],"a":[12,23,52,81],"connected":[13,49],"sum":[14,50],"of":[15,17,44,47,54,64,83,91],"products":[16],"spheres":[18,61],"when":[19],"K$":[21,63],"starshaped":[24,59],"(in":[25],"particular,":[26],"polytopal)":[27],"3-dimensional":[28],"simplicial":[29,60],"sphere":[30],"with":[31],"exactly":[32],"two":[33,84],"missing":[34],"edges":[35],"are":[37],"not":[38],"adjacent":[39],"each":[41,78],"other.":[42],"One":[43],"summands":[46],"product":[53,82],"three":[55],"spheres.":[56,85,101],"For":[57],"neighbourly":[58],"odd":[65],"dimension,":[66],"we":[67],"diffeomorphism":[70],"K}":[73],"\\cong":[74],"M_1\\#\\cdots\\#":[75],"M_k$,":[76],"where":[77],"$M_i$":[79],"give":[87],"an":[88],"explicit":[89],"description":[90],"manifolds":[94],"corresponding":[95],"non-polytopal":[97],"Barnette":[98],"and":[99],"Br\u00fcckner":[100]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-19T00:00:00"}
