A note on the four-dimensional clasp number of knots

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dc.contributor.authorFeller, Peterko
dc.contributor.authorPark, Junghwanko
dc.date.accessioned2022-06-21T11:00:22Z-
dc.date.available2022-06-21T11:00:22Z-
dc.date.created2022-05-06-
dc.date.created2022-05-06-
dc.date.issued2022-07-
dc.identifier.citationMATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.173, no.1, pp.213 - 226-
dc.identifier.issn0305-0041-
dc.identifier.urihttp://hdl.handle.net/10203/297030-
dc.description.abstractAmong the knots that are the connected sum of two torus knots with cobordism distance 1, we characterise those that have 4-dimensional clasp number at least 2, and we show that their n-fold connected self-sum has 4-dimensional clasp number at least 2n. Our proof works in the topological category. To contrast this, we build a family of topologically slice knots for which the n-fold connected self-sum has 4-ball genus n and 4-dimensional clasp number at least 2n.-
dc.languageEnglish-
dc.publisherCAMBRIDGE UNIV PRESS-
dc.titleA note on the four-dimensional clasp number of knots-
dc.typeArticle-
dc.identifier.wosid000785768200001-
dc.identifier.scopusid2-s2.0-85110690991-
dc.type.rimsART-
dc.citation.volume173-
dc.citation.issue1-
dc.citation.beginningpage213-
dc.citation.endingpage226-
dc.citation.publicationnameMATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-
dc.identifier.doi10.1017/S0305004121000529-
dc.contributor.localauthorPark, Junghwan-
dc.contributor.nonIdAuthorFeller, Peter-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthor57K10-
dc.subject.keywordAuthor57N70-
dc.subject.keywordPlusGENUS BOUNDS-
dc.subject.keywordPlusCONCORDANCE-
dc.subject.keywordPlusSIGNATURE-
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