DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Junghwan | ko |
dc.date.accessioned | 2021-01-28T06:13:34Z | - |
dc.date.available | 2021-01-28T06:13:34Z | - |
dc.date.created | 2021-01-19 | - |
dc.date.created | 2021-01-19 | - |
dc.date.issued | 2017-02 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.145, no.2, pp.889 - 891 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10203/280224 | - |
dc.description.abstract | Let D+(K,t) denote the positive t -twisted double of K. For a fixed integer-valued additive concordance invariant v that bounds the smooth four genus of a knot and determines the smooth four genus of positive torus knots, Livingston and Naik defined t(v) (K) to be the greatest integer t such that v(D+(K,t)) = 1. Let K-1 and K-2 be any knots; then we prove the following inequality: t(v)(K-1) + t(v)(K-2) <= t(v)(K-1#K-2) <= min(t(v)(K-1) - t(v),(-K-2), t(v),(K-2) - t(v)(-K-1). As an application we show that l(T),-(K) not equal t(s)(K) for infinitely many knots and that their difference can be arbitrarily large, where t(tau)-(K) (respectively is t(s) (K))is t(v) (K) when v is an Ozvath-Szabo invariant tau (respectively when v is a normalized Rasmussen s invariant). | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | INEQUALITY ON t(v)(K) DEFINED BY LIVINGSTON AND NAIK AND ITS APPLICATIONS | - |
dc.type | Article | - |
dc.identifier.wosid | 000390129700036 | - |
dc.identifier.scopusid | 2-s2.0-85006014537 | - |
dc.type.rims | ART | - |
dc.citation.volume | 145 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 889 | - |
dc.citation.endingpage | 891 | - |
dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/proc/13306 | - |
dc.contributor.localauthor | Park, Junghwan | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | KNOT FLOER HOMOLOGY | - |
dc.subject.keywordPlus | OZSVATH-SZABO | - |
dc.subject.keywordPlus | RASMUSSEN INVARIANTS | - |
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