Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant
DC Field | Value | Language |
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dc.contributor.author | Byun, Yanghyun | - |
dc.contributor.author | Korbas, Julius | - |
dc.contributor.author | Zvengrowski, Peter | - |
dc.date.accessioned | 2022-07-07T14:38:14Z | - |
dc.date.available | 2022-07-07T14:38:14Z | - |
dc.date.created | 2021-05-11 | - |
dc.date.issued | 2020-10 | - |
dc.identifier.issn | 0166-8641 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145069 | - |
dc.description.abstract | We develop strong lower bounds for the span of the projective Stiefel manifolds X-n,X-r = O(n)/(O(n - r) x Z/2), which enable very accurate (in many cases exact) estimates of the span. The technique, for the most part, involves elementary stability properties of vector bundles. However, the case X-n,X-2 with n odd presents extra difficulties, which are partially resolved using the Browder-Dupont invariant. In the process, we observe that the symmetric lift due to Sutherland does not necessarily exist for all odd dimensional closed manifolds, and therefore the Browder-Dupont invariant, as he formulated it, is not defined in general. We will characterize those n's for which the Browder-Dupont invariant is well-defined on X-n,X-2. Then the invariant will be used in this case to obtain the lower bounds for the span as a corollary of a stronger result. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER | - |
dc.title | Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Byun, Yanghyun | - |
dc.identifier.doi | 10.1016/j.topol.2020.107364 | - |
dc.identifier.scopusid | 2-s2.0-85089849295 | - |
dc.identifier.wosid | 000591637100020 | - |
dc.identifier.bibliographicCitation | TOPOLOGY AND ITS APPLICATIONS, v.284, pp.1 - 18 | - |
dc.relation.isPartOf | TOPOLOGY AND ITS APPLICATIONS | - |
dc.citation.title | TOPOLOGY AND ITS APPLICATIONS | - |
dc.citation.volume | 284 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 18 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | TANGENT BUNDLE | - |
dc.subject.keywordAuthor | Vector field problem | - |
dc.subject.keywordAuthor | Projective Stiefel manifold | - |
dc.subject.keywordAuthor | Span | - |
dc.subject.keywordAuthor | Browder-Dupont invariant | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0166864120303072?via%3Dihub | - |
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