Entropies of braids

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dc.contributor.authorSong, WTko
dc.contributor.authorKo, Ki-Hyoungko
dc.contributor.authorLos, JEko
dc.date.accessioned2013-03-04T17:54:43Z-
dc.date.available2013-03-04T17:54:43Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2002-06-
dc.identifier.citationJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.11, no.4, pp.647 - 666-
dc.identifier.issn0218-2165-
dc.identifier.urihttp://hdl.handle.net/10203/83526-
dc.description.abstractPseudo-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.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectTRAIN-TRACKS-
dc.subjectTOPOLOGICAL-ENTROPY-
dc.subjectDIFFEOMORPHISMS-
dc.subjectDISK-
dc.titleEntropies of braids-
dc.typeArticle-
dc.identifier.wosid000176904800011-
dc.identifier.scopusid2-s2.0-0036019306-
dc.type.rimsART-
dc.citation.volume11-
dc.citation.issue4-
dc.citation.beginningpage647-
dc.citation.endingpage666-
dc.citation.publicationnameJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS-
dc.contributor.localauthorKo, Ki-Hyoung-
dc.contributor.nonIdAuthorSong, WT-
dc.contributor.nonIdAuthorLos, JE-
dc.type.journalArticleArticle-
dc.subject.keywordPlusTRAIN-TRACKS-
dc.subject.keywordPlusTOPOLOGICAL-ENTROPY-
dc.subject.keywordPlusDIFFEOMORPHISMS-
dc.subject.keywordPlusDISK-
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