DC Field | Value | Language |
---|---|---|
dc.contributor.author | Song, WT | ko |
dc.contributor.author | Ko, Ki-Hyoung | ko |
dc.contributor.author | Los, JE | ko |
dc.date.accessioned | 2013-03-04T17:54:43Z | - |
dc.date.available | 2013-03-04T17:54:43Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2002-06 | - |
dc.identifier.citation | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.11, no.4, pp.647 - 666 | - |
dc.identifier.issn | 0218-2165 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83526 | - |
dc.description.abstract | Pseudo-Anosov homeomorphisms are classified by their invariant train tracks. The decomposition of any train track map in elementary folding maps gives a normal form for each train track class. In the case of 4-braids there are three train tracks classes and we give an explicit automaton that generates a normal form for each class. This enables us, for instance, to exhibit the pseudo-Anosov 4-braid with the minimal growth rate. We also show that the growth rate of a pseudo-Anosov braid appears as a root of the Alexander polynomial of a link that shares a common sub-link with the closure of the braid. We finally give a criterion for the faithfulness of the Burau representation for 4-braids. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | TRAIN-TRACKS | - |
dc.subject | TOPOLOGICAL-ENTROPY | - |
dc.subject | DIFFEOMORPHISMS | - |
dc.subject | DISK | - |
dc.title | Entropies of braids | - |
dc.type | Article | - |
dc.identifier.wosid | 000176904800011 | - |
dc.identifier.scopusid | 2-s2.0-0036019306 | - |
dc.type.rims | ART | - |
dc.citation.volume | 11 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 647 | - |
dc.citation.endingpage | 666 | - |
dc.citation.publicationname | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | - |
dc.contributor.localauthor | Ko, Ki-Hyoung | - |
dc.contributor.nonIdAuthor | Song, WT | - |
dc.contributor.nonIdAuthor | Los, JE | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | TRAIN-TRACKS | - |
dc.subject.keywordPlus | TOPOLOGICAL-ENTROPY | - |
dc.subject.keywordPlus | DIFFEOMORPHISMS | - |
dc.subject.keywordPlus | DISK | - |
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