THE MAPPING CLASS GROUPS OF REDUCIBLE HEEGAARD SPLITTINGS OF GENUS TWO
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Sangbum | - |
dc.contributor.author | Koda, Yuya | - |
dc.date.accessioned | 2022-07-10T10:53:32Z | - |
dc.date.available | 2022-07-10T10:53:32Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2019-02 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148398 | - |
dc.description.abstract | A 3-manifold which admits a genus-2 reducible Heegaard splitting is one of the 3-sphere, S-2 x S-1, lens spaces and their connected sums. For each of those manifolds except most lens spaces, the mapping class group of the genus-2 splitting was shown to be finitely presented. In this work, we study the remaining generic lens spaces and show that the mapping class group of the genus-2 Heegaard splitting is finitely presented for any lens space by giving its explicit presentation. As an application, we show that the fundamental groups of the spaces of the genus-2 Heegaard splittings of lens spaces are all finitely presented. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | THE MAPPING CLASS GROUPS OF REDUCIBLE HEEGAARD SPLITTINGS OF GENUS TWO | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cho, Sangbum | - |
dc.identifier.doi | 10.1090/tran/7375 | - |
dc.identifier.scopusid | 2-s2.0-85042494599 | - |
dc.identifier.wosid | 000455248700008 | - |
dc.identifier.bibliographicCitation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.371, no.4, pp.2473 - 2502 | - |
dc.relation.isPartOf | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.title | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 371 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 2473 | - |
dc.citation.endPage | 2502 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | GOERITZ GROUP | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
dc.subject.keywordPlus | 3-SPHERE | - |
dc.subject.keywordPlus | PRESERVE | - |
dc.identifier.url | https://www.ams.org/journals/tran/2019-371-04/S0002-9947-2018-07375-5/ | - |
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