Arc Complexes, Sphere Complexes, and Goeritz Groups
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Sangbum | - |
dc.contributor.author | Koda, Yuya | - |
dc.contributor.author | Seo, Arim | - |
dc.date.accessioned | 2022-07-15T16:06:58Z | - |
dc.date.available | 2022-07-15T16:06:58Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2016-06 | - |
dc.identifier.issn | 0026-2285 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/154471 | - |
dc.description.abstract | We show that if a Heegaard splitting is obtained by gluing a splitting of Hempel distance at least 4 and the genus-1 splitting of S-2 x S-1, then the Goeritz group of the splitting is finitely generated. To show this, we first provide a sufficient condition for a full subcomplex of the arc complex for a compact orientable surface to be contractible, which generalizes the result by Hatcher that the arc complexes are contractible. We then construct infinitely many Heegaard splittings, including the above-mentioned Heegaard splitting, for which suitably defined complexes of Haken spheres are contractible. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | MICHIGAN MATHEMATICAL JOURNAL | - |
dc.title | Arc Complexes, Sphere Complexes, and Goeritz Groups | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cho, Sangbum | - |
dc.identifier.doi | 10.1307/mmj/1465329016 | - |
dc.identifier.scopusid | 2-s2.0-84975853406 | - |
dc.identifier.wosid | 000379449900005 | - |
dc.identifier.bibliographicCitation | MICHIGAN MATHEMATICAL JOURNAL, v.65, no.2, pp.333 - 351 | - |
dc.relation.isPartOf | MICHIGAN MATHEMATICAL JOURNAL | - |
dc.citation.title | MICHIGAN MATHEMATICAL JOURNAL | - |
dc.citation.volume | 65 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 333 | - |
dc.citation.endPage | 351 | - |
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 | MAPPING CLASS-GROUPS | - |
dc.subject.keywordPlus | HEEGAARD-SPLITTINGS | - |
dc.subject.keywordPlus | CURVE COMPLEX | - |
dc.subject.keywordPlus | HAKEN SPHERES | - |
dc.subject.keywordPlus | LENS SPACES | - |
dc.subject.keywordPlus | 3-MANIFOLDS | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | 3-SPHERE | - |
dc.subject.keywordPlus | PRESERVE | - |
dc.identifier.url | https://projecteuclid.org/journals/michigan-mathematical-journal/volume-65/issue-2/Arc-complexes-sphere-complexes-and-Goeritz-groups/10.1307/mmj/1465329016.full | - |
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