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On the volume and Chern-Simons invariant for 2-bridge knot orbifolds

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dc.contributor.authorHam, Ji-Young-
dc.contributor.authorLee, Joongul-
dc.contributor.authorMednykh, Alexander-
dc.contributor.authorRasskazov, Aleksei-
dc.date.available2021-03-17T08:45:11Z-
dc.date.created2020-07-06-
dc.date.issued2017-10-
dc.identifier.issn0218-2165-
dc.identifier.urihttps://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/13162-
dc.description.abstractThis paper extends the work by Mednykh and Rasskazov presented in [On the structure of the canonical fundamental set for the 2-bridge link orbifolds, Universitat Bielefeld, Sonderforschungsbereich 343, Discrete Structuren in der Mathematik, Preprint (1988), pp. 98-062, www. mathematik. uni-bielefeld. de/sfb343/preprints/pr98062.ps.gz]. By using their approach, we derive the Riley-Mednykh polynomial for a family of 2-bridge knot orbifolds. As a result, we obtain explicit formulae for the volumes and Chern- Simons invariants of orbifolds and cone-manifolds on the knot with Conway's notation C(2n, 4).-
dc.language영어-
dc.language.isoen-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectCONE-MANIFOLDS-
dc.subjectTWIST KNOTS-
dc.subjectHYPERBOLIC 3-MANIFOLDS-
dc.subjectCOMPLEX VOLUMES-
dc.subjectETA-INVARIANT-
dc.subjectREPRESENTATION-
dc.subjectRIGIDITY-
dc.subjectFORMULA-
dc.titleOn the volume and Chern-Simons invariant for 2-bridge knot orbifolds-
dc.typeArticle-
dc.contributor.affiliatedAuthorHam, Ji-Young-
dc.contributor.affiliatedAuthorLee, Joongul-
dc.identifier.doi10.1142/S0218216517500821-
dc.identifier.scopusid2-s2.0-85031900611-
dc.identifier.wosid000414219000011-
dc.identifier.bibliographicCitationJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.26, no.12-
dc.relation.isPartOfJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.citation.titleJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.citation.volume26-
dc.citation.number12-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusCONE-MANIFOLDS-
dc.subject.keywordPlusTWIST KNOTS-
dc.subject.keywordPlusHYPERBOLIC 3-MANIFOLDS-
dc.subject.keywordPlusCOMPLEX VOLUMES-
dc.subject.keywordPlusETA-INVARIANT-
dc.subject.keywordPlusREPRESENTATION-
dc.subject.keywordPlusRIGIDITY-
dc.subject.keywordPlusFORMULA-
dc.subject.keywordAuthorFundamental set-
dc.subject.keywordAuthorvolume-
dc.subject.keywordAuthorChern-Simons invariant-
dc.subject.keywordAuthorcone-manifold-
dc.subject.keywordAuthororbifold-
dc.subject.keywordAuthorexplicit formula-
dc.subject.keywordAuthor2-bridge knot-
dc.subject.keywordAuthorknot with Conway&apos-
dc.subject.keywordAuthors notation C(2n, 4)-
dc.subject.keywordAuthorRiley-Mednykh polynomial-
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