DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hom, Jennifer | ko |
dc.contributor.author | Kang, Sungkyung | ko |
dc.contributor.author | Park, Junghwan | ko |
dc.date.accessioned | 2022-12-05T03:00:56Z | - |
dc.date.available | 2022-12-05T03:00:56Z | - |
dc.date.created | 2022-12-05 | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | MATHEMATICAL RESEARCH LETTERS, v.28, no.5, pp.1441 - 1457 | - |
dc.identifier.issn | 1073-2780 | - |
dc.identifier.uri | http://hdl.handle.net/10203/301625 | - |
dc.description.abstract | The fusion number of a ribbon knot is the minimal number of 1-handles needed to construct a ribbon disk. The strong homotopy fusion number of a ribbon knot is the minimal number of 2-handles in a handle decomposition of a ribbon disk complement. We demonstrate that these invariants behave completely differently under cabling by showing that the (p, 1)-cable of any ribbon knot with fusion number one has strong homotopy fusion number one and fusion number p. Our main tools are Juhasz-Miller-Zemke's bound on fusion number coming from the torsion order of knot Floer homology and Hanselman-Watson's cabling formula for immersed curves. | - |
dc.language | English | - |
dc.publisher | INT PRESS BOSTON, INC | - |
dc.title | Ribbon knots, cabling, and handle decompositions | - |
dc.type | Article | - |
dc.identifier.wosid | 000883282500007 | - |
dc.identifier.scopusid | 2-s2.0-85137925649 | - |
dc.type.rims | ART | - |
dc.citation.volume | 28 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 1441 | - |
dc.citation.endingpage | 1457 | - |
dc.citation.publicationname | MATHEMATICAL RESEARCH LETTERS | - |
dc.contributor.localauthor | Park, Junghwan | - |
dc.contributor.nonIdAuthor | Hom, Jennifer | - |
dc.contributor.nonIdAuthor | Kang, Sungkyung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | HOLOMORPHIC DISKS | - |
dc.subject.keywordPlus | FLOER | - |
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