On the Upsilon invariant and satellite knots

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dc.contributor.authorFeller, Peterko
dc.contributor.authorPark, JungHwanko
dc.contributor.authorRay, Arunimako
dc.date.accessioned2021-01-28T06:11:25Z-
dc.date.available2021-01-28T06:11:25Z-
dc.date.created2021-01-19-
dc.date.created2021-01-19-
dc.date.created2021-01-19-
dc.date.issued2019-08-
dc.identifier.citationMATHEMATISCHE ZEITSCHRIFT, v.292, no.3-4, pp.1431 - 1452-
dc.identifier.issn0025-5874-
dc.identifier.urihttp://hdl.handle.net/10203/280199-
dc.description.abstractWe study the effect of satellite operations on the Upsilon invariant of Ozsvath-Stipsicz-Szabo. We obtain results concerning when a knot and its satellites are independent; for example, we show that the set {D2i,1}i=1 infinity is a basis for an infinite rank summand of the group of smooth concordance classes of topologically slice knots, for D the positive clasped untwisted Whitehead double of any knot with positive tau-invariant, e.g. the right-handed trefoil. We also prove that the image of the Mazur satellite operator on the smooth knot concordance group contains an infinite rank subgroup of topologically slice knots.-
dc.languageEnglish-
dc.publisherSPRINGER HEIDELBERG-
dc.titleOn the Upsilon invariant and satellite knots-
dc.typeArticle-
dc.identifier.wosid000475695800030-
dc.identifier.scopusid2-s2.0-85055581963-
dc.type.rimsART-
dc.citation.volume292-
dc.citation.issue3-4-
dc.citation.beginningpage1431-
dc.citation.endingpage1452-
dc.citation.publicationnameMATHEMATISCHE ZEITSCHRIFT-
dc.identifier.doi10.1007/s00209-018-2145-7-
dc.contributor.localauthorPark, JungHwan-
dc.contributor.nonIdAuthorFeller, Peter-
dc.contributor.nonIdAuthorRay, Arunima-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusFLOER HOMOLOGY-
dc.subject.keywordPlusCONCORDANCE-
dc.subject.keywordPlusOPERATORS-
dc.subject.keywordPlusFILTRATION-
dc.subject.keywordPlusGENUS-
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