DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.contributor.author | Kim, Changsub | ko |
dc.date.accessioned | 2024-09-05T02:00:13Z | - |
dc.date.available | 2024-09-05T02:00:13Z | - |
dc.date.created | 2024-08-29 | - |
dc.date.issued | 2024-05 | - |
dc.identifier.citation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.61, no.3, pp.585 - 595 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | http://hdl.handle.net/10203/322622 | - |
dc.description.abstract | . We show that a pseudo-Anosov map constructed as a product of the large power of Dehn twists of two filling curves always has a geodesic axis on the curve graph of the surface. We also obtain estimates of the stable translation length of a pseudo-Anosov map, when two filling curves are replaced by multicurves. Three main applications of our theorem are the following: (a) determining which word realizes the minimal translation length on the curve graph within a specific class of words, (b) giving a new class of pseudo-Anosov maps optimizing the ratio of stable translation lengths on the curve graph to that on Teichmu<spacing diaeresis>ller space, (c) giving a partial answer of how much power is needed for Dehn twists to generate right-angled Artin subgroup of the mapping class group. | - |
dc.language | English | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | ON TRANSLATION LENGTHS OF PSEUDO-ANOSOV MAPS ON THE CURVE GRAPH | - |
dc.type | Article | - |
dc.identifier.wosid | 001238886200001 | - |
dc.identifier.scopusid | 2-s2.0-85195981975 | - |
dc.type.rims | ART | - |
dc.citation.volume | 61 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 585 | - |
dc.citation.endingpage | 595 | - |
dc.citation.publicationname | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.4134/BKMS.b230079 | - |
dc.identifier.kciid | ART003084274 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Curve graph | - |
dc.subject.keywordAuthor | pseudo-Anosov map | - |
dc.subject.keywordAuthor | stable translation length | - |
dc.subject.keywordAuthor | ratio optimizer | - |
dc.subject.keywordAuthor | right-angled Artin group | - |
dc.subject.keywordPlus | GEOMETRY | - |
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