EVERY GENUS ONE ALGEBRAICALLY SLICE KNOT IS 1-SOLVABLE

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dc.contributor.authorDavis, Christopher W.ko
dc.contributor.authorMartin, Taylorko
dc.contributor.authorOtto, Carolynko
dc.contributor.authorPark, Junghwanko
dc.date.accessioned2021-01-28T06:11:20Z-
dc.date.available2021-01-28T06:11:20Z-
dc.date.created2021-01-19-
dc.date.created2021-01-19-
dc.date.created2021-01-19-
dc.date.issued2019-09-
dc.identifier.citationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.372, no.5, pp.3063 - 3082-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10203/280197-
dc.description.abstractCochran, Orr, and Teichner developed a filtration of the knot concordance group indexed by half integers called the solvable filtration. Its terms are denoted by F-n. It has been shown that F-n/F-n.5 is a very large group for n >= 0. For a generalization to the setting of links the third author showed that F-n.5/Fn+1 is non-trivial. In this paper we provide evidence for knots F-0.5 = F-1. In particular we prove that every genus 1 algebraically slice knot is 1-solvable.-
dc.languageEnglish-
dc.publisherAMER MATHEMATICAL SOC-
dc.titleEVERY GENUS ONE ALGEBRAICALLY SLICE KNOT IS 1-SOLVABLE-
dc.typeArticle-
dc.identifier.wosid000478938700003-
dc.identifier.scopusid2-s2.0-85075250700-
dc.type.rimsART-
dc.citation.volume372-
dc.citation.issue5-
dc.citation.beginningpage3063-
dc.citation.endingpage3082-
dc.citation.publicationnameTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.1090/tran/7682-
dc.contributor.localauthorPark, Junghwan-
dc.contributor.nonIdAuthorDavis, Christopher W.-
dc.contributor.nonIdAuthorMartin, Taylor-
dc.contributor.nonIdAuthorOtto, Carolyn-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordPlusCONCORDANCE-
dc.subject.keywordPlusINVARIANTS-
dc.subject.keywordPlusLINKS-
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