Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/218
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dc.contributor.authorPrvulović, Branislaven_US
dc.contributor.authorRadovanović, Markoen_US
dc.date.accessioned2022-08-06T17:23:28Z-
dc.date.available2022-08-06T17:23:28Z-
dc.date.issued2019-01-01-
dc.identifier.issn00162736en
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/218-
dc.description.abstractWe study the cohomology algebra of the Grassmann manifold Gek,n of oriented k-dimensional subspaces in Rn+k via the characteristic rank of the canonical vector bundle γek,n over Gek,n (denoted by charrank(γek,n)). Using Gröbner bases for the ideals determining the cohomology algebras of the “unoriented” Grassmannians Gk,n we prove that charrank(γek,n) increases with k. In addition, we calculate the exact value of charrank(γe4,n), and for k ≥ 5 we improve a general lower bound for charrank(γek,n) obtained by Korbaš. Some corollaries concerning the cup-length of Ge4,n are also given.en
dc.relation.ispartofFundamenta Mathematicaeen
dc.subjectCharacteristic ranken
dc.subjectGrassmann manifolden
dc.subjectGröbner basisen
dc.subjectStiefel–Whitney classen
dc.titleOn the characteristic rank of vector bundles over oriented Grassmanniansen_US
dc.typeArticleen_US
dc.identifier.doi10.4064/fm470-3-2018-
dc.identifier.scopus2-s2.0-85059976996-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85059976996-
dc.contributor.affiliationTopologyen_US
dc.contributor.affiliationAlgebra and Mathematical Logicen_US
dc.relation.firstpage167en
dc.relation.lastpage190en
dc.relation.volume244en
dc.relation.issue2en
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
crisitem.author.deptAlgebra and Mathematical Logic-
crisitem.author.orcid0000-0002-6990-1793-
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