INVOLUTIONS AND THE FRICKE SPACES OF SURFACES WITH BOUNDARY
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hong Chan | - |
dc.date.accessioned | 2021-09-05T11:05:59Z | - |
dc.date.available | 2021-09-05T11:05:59Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-03 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/99174 | - |
dc.description.abstract | The purpose of this paper is to find expressions of the Fricke spaces of some basic surfaces which are a three-holed sphere Sigma(0, 3), a one-holed torus Sigma(1, 1), and a four-holed sphere Sigma(0, 4). For this goal, we define the involutions corresponding to oriented axes of loxodromic elements and an inner product ( , ) which gives the information about locations of axes of loxodromic elements. The signs of traces of holonomy elements, which are calculated by lifting a representation from PSL(2, C) to SL(2, C), play a very important role in determining the, discreteness of holonomy groups. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | INVOLUTIONS AND THE FRICKE SPACES OF SURFACES WITH BOUNDARY | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Hong Chan | - |
dc.identifier.doi | 10.4134/JKMS.2014.51.2.403 | - |
dc.identifier.scopusid | 2-s2.0-84897626055 | - |
dc.identifier.wosid | 000333222900011 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.2, pp.403 - 426 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 51 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 403 | - |
dc.citation.endPage | 426 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001854242 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Fricke space | - |
dc.subject.keywordAuthor | involution | - |
dc.subject.keywordAuthor | discrete holonomy group | - |
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