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Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation C(2n, 3)
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ham, Ji-Young | - |
| dc.contributor.author | Lee, Joongul | - |
| dc.date.available | 2021-03-17T08:45:25Z | - |
| dc.date.created | 2020-07-06 | - |
| dc.date.issued | 2017-03 | - |
| dc.identifier.issn | 0377-9017 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/13175 | - |
| dc.description.abstract | We calculate the Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation C(2n, 3) using the Schlafli formula for the generalized Chern-Simons function on the family of C(2n, 3) cone-manifold structures. We present the concrete and explicit formula of them. We apply the general instructions of Hilden, Lozano, and Montesinos-Amilibia and extend the Ham and Lee's methods. As an application, we calculate the Chern-Simons invariants of cyclic coverings of the hyperbolic C(2n, 3) orbifolds. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | SPRINGER | - |
| dc.subject | TWIST KNOTS | - |
| dc.subject | COMPLEX VOLUMES | - |
| dc.subject | ETA-INVARIANT | - |
| dc.subject | 3-MANIFOLDS | - |
| dc.subject | REPRESENTATION | - |
| dc.subject | POLYNOMIALS | - |
| dc.title | Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation C(2n, 3) | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Ham, Ji-Young | - |
| dc.contributor.affiliatedAuthor | Lee, Joongul | - |
| dc.identifier.doi | 10.1007/s11005-016-0904-0 | - |
| dc.identifier.scopusid | 2-s2.0-84995466552 | - |
| dc.identifier.wosid | 000394280200002 | - |
| dc.identifier.bibliographicCitation | LETTERS IN MATHEMATICAL PHYSICS, v.107, no.3, pp.427 - 437 | - |
| dc.relation.isPartOf | LETTERS IN MATHEMATICAL PHYSICS | - |
| dc.citation.title | LETTERS IN MATHEMATICAL PHYSICS | - |
| dc.citation.volume | 107 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 427 | - |
| dc.citation.endPage | 437 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Physics | - |
| dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
| dc.subject.keywordPlus | TWIST KNOTS | - |
| dc.subject.keywordPlus | COMPLEX VOLUMES | - |
| dc.subject.keywordPlus | ETA-INVARIANT | - |
| dc.subject.keywordPlus | 3-MANIFOLDS | - |
| dc.subject.keywordPlus | REPRESENTATION | - |
| dc.subject.keywordPlus | POLYNOMIALS | - |
| dc.subject.keywordAuthor | Chern-Simons invariant | - |
| dc.subject.keywordAuthor | C(2n, 3) | - |
| dc.subject.keywordAuthor | Orbifold | - |
| dc.subject.keywordAuthor | Riley-Mednykh polynomial | - |
| dc.subject.keywordAuthor | Orbifold covering | - |
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Related Researcher
- Lee, Joon gul
- Education (Mathematics Education)