Connected Primitive Disk Complexes and Genus Two Goeritz Groups of Lens Spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Sangbum | - |
dc.contributor.author | Koda, Yuya | - |
dc.date.accessioned | 2022-07-15T00:00:36Z | - |
dc.date.available | 2022-07-15T00:00:36Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2016-12 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/153453 | - |
dc.description.abstract | Given a stabilized Heegaard splitting of a three-manifold, the primitive disk complex for the splitting is the subcomplex of the disk complex for a handlebody in the splitting spanned by the vertices of the primitive disks. In this work, we study the structure of the primitive disk complex for the genus-2 Heegaard splitting of each lens space. In particular, we show that the complex for the genus-2 splitting for the lens space L(p, q) with 1 ≤ q ≤ p/2 is connected if and only if p ≡ ±1 (mod q), and describe the combinatorial structure of each of those complexes. As an application, we obtain a finite presentation of the genus-2 Goeritz group of each of those lens spaces, the group of isotopy classes of orientation preserving homeomorphisms of the lens space that preserve the genus-2 Heegaard splitting of it. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.title | Connected Primitive Disk Complexes and Genus Two Goeritz Groups of Lens Spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cho, Sangbum | - |
dc.identifier.doi | 10.1093/imrn/rnv399 | - |
dc.identifier.scopusid | 2-s2.0-85016233562 | - |
dc.identifier.wosid | 000392187400010 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2016, no.23, pp.7302 - 7340 | - |
dc.relation.isPartOf | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.title | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.volume | 2016 | - |
dc.citation.number | 23 | - |
dc.citation.startPage | 7302 | - |
dc.citation.endPage | 7340 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | HEEGAARD | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
dc.subject.keywordPlus | 3-SPHERE | - |
dc.subject.keywordPlus | PRESERVE | - |
dc.identifier.url | https://academic.oup.com/imrn/article/2016/23/7302/2633481 | - |
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