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기하학수리물리연구단
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Concordance Invariants and the Turaev Genus

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dc.contributor.authorHongtaek Jung-
dc.contributor.authorSungkyung Kang-
dc.contributor.authorSeungwon Kim-
dc.date.accessioned2023-01-27T00:40:02Z-
dc.date.available2023-01-27T00:40:02Z-
dc.date.created2022-04-05-
dc.date.issued2022-10-
dc.identifier.issn1073-7928-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/12841-
dc.description.abstractWe show that the differences between various concordance invariants of knots, including Rasmussen's s-invariant and its generalizations s(n)-invariants, give lower bounds to the Turaev genus of knots. Using the fact that our bounds are nontrivial for some quasi-alternating knots, we show the additivity of Turaev genus for a certain class of knots. This leads us to the 1st example of an infinite family of quasi-alternating knots with Turaev genus exactly g for any fixed positive integer g, solving a question of Champanerkar-Kofman.-
dc.language영어-
dc.publisherOxford University Press-
dc.titleConcordance Invariants and the Turaev Genus-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000755836700001-
dc.identifier.scopusid2-s2.0-85143052655-
dc.identifier.rimsid78016-
dc.contributor.affiliatedAuthorHongtaek Jung-
dc.contributor.affiliatedAuthorSungkyung Kang-
dc.contributor.affiliatedAuthorSeungwon Kim-
dc.identifier.doi10.1093/imrn/rnab055-
dc.identifier.bibliographicCitationInternational Mathematics Research Notices, v.2022, no.19, pp.15410 - 15420-
dc.relation.isPartOfInternational Mathematics Research Notices-
dc.citation.titleInternational Mathematics Research Notices-
dc.citation.volume2022-
dc.citation.number19-
dc.citation.startPage15410-
dc.citation.endPage15420-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalWebOfScienceCategoryMathematics-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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