DC Field | Value | Language |
---|---|---|
dc.contributor.author | Davis, Christopher W. | ko |
dc.contributor.author | Orson, Patrick | ko |
dc.contributor.author | Park, JungHwan | ko |
dc.date.accessioned | 2022-01-10T06:40:24Z | - |
dc.date.available | 2022-01-10T06:40:24Z | - |
dc.date.created | 2022-01-10 | - |
dc.date.created | 2022-01-10 | - |
dc.date.created | 2022-01-10 | - |
dc.date.created | 2022-01-10 | - |
dc.date.issued | 2022-05 | - |
dc.identifier.citation | SELECTA MATHEMATICA-NEW SERIES, v.28, no.2 | - |
dc.identifier.issn | 1022-1824 | - |
dc.identifier.uri | http://hdl.handle.net/10203/291698 | - |
dc.description.abstract | We introduce a geometric operation, which we call the relative Whitney trick, that removes a single double point between properly immersed surfaces in a 4-manifold with boundary.Using the relative Whitney trick we prove that every link in a homology sphere is homotopic to a link that is topologically slice in a contractible topological 4-manifold. We further prove that any link in a homology sphere is order k Whitney tower concordant to a link in S-3 for all k. Finally, we explore the minimum Gordian distance from a link in S-3 to a homotopically trivial link. Extending this notion to links in homology spheres, we use the relative Whitney trick to make explicit computations for 3-component links and establish bounds in general. | - |
dc.language | English | - |
dc.publisher | SPRINGER INT PUBL AG | - |
dc.title | The relative Whitney trick and its applications | - |
dc.type | Article | - |
dc.identifier.wosid | 000736590000002 | - |
dc.identifier.scopusid | 2-s2.0-85122068297 | - |
dc.type.rims | ART | - |
dc.citation.volume | 28 | - |
dc.citation.issue | 2 | - |
dc.citation.publicationname | SELECTA MATHEMATICA-NEW SERIES | - |
dc.identifier.doi | 10.1007/s00029-021-00738-y | - |
dc.contributor.localauthor | Park, JungHwan | - |
dc.contributor.nonIdAuthor | Davis, Christopher W. | - |
dc.contributor.nonIdAuthor | Orson, Patrick | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Link concordance | - |
dc.subject.keywordAuthor | Whitney trick | - |
dc.subject.keywordAuthor | Whitney tower | - |
dc.subject.keywordPlus | CONCORDANCE | - |
dc.subject.keywordPlus | KNOTS | - |
dc.subject.keywordPlus | FILTRATION | - |
dc.subject.keywordPlus | TOPOLOGY | - |
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