DC Field | Value | Language |
---|---|---|
dc.contributor.author | Stoimenow, A. | ko |
dc.date.accessioned | 2021-12-24T06:45:22Z | - |
dc.date.available | 2021-12-24T06:45:22Z | - |
dc.date.created | 2021-12-23 | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | International Journal of Computational Geometry and Applications, v.31, no.1, pp.39 - 73 | - |
dc.identifier.issn | 0218-1959 | - |
dc.identifier.uri | http://hdl.handle.net/10203/291142 | - |
dc.description.abstract | We obtain some fairly general conditions on the linking numbers and geometric properties of a link, under which it has infinitely many conjugacy classes of n-braid representatives if and only if it has one admitting an exchange move. We investigate a symmetry pattern of indices of conjugate iterated exchanged braids. We then develop a test based on the Burau matrix showing examples of knots admitting no minimal exchangeable braids, admitting non-minimal non-exchangeable braids, and admitting both minimal exchangeable and minimal non-exchangeable braids. This in particular proves that conjugacy, exchange moves and destabilization do not suffice to simplify braid representatives of a general link. © 2021 World Scientific Publishing Company. | - |
dc.language | English | - |
dc.publisher | World Scientific | - |
dc.title | Exchangeability and Non-Conjugacy of Braid Representatives | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-85118504579 | - |
dc.type.rims | ART | - |
dc.citation.volume | 31 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 39 | - |
dc.citation.endingpage | 73 | - |
dc.citation.publicationname | International Journal of Computational Geometry and Applications | - |
dc.identifier.doi | 10.1142/S0218195921500047 | - |
dc.contributor.localauthor | Stoimenow, A. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | braid group | - |
dc.subject.keywordAuthor | Burau matrix | - |
dc.subject.keywordAuthor | conjugacy | - |
dc.subject.keywordAuthor | Exchange move | - |
dc.subject.keywordAuthor | hyperbolic link | - |
dc.subject.keywordAuthor | Jones polynomial | - |
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