Disk Complexes and Genus Two Heegaard Splittings for NonPrime 3-Manifolds
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Sangbum | - |
dc.contributor.author | Koda, Yuya | - |
dc.date.accessioned | 2022-07-07T07:40:45Z | - |
dc.date.available | 2022-07-07T07:40:45Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143876 | - |
dc.description.abstract | Given a genus two Heegaard splitting for a nonprime 3-manifold, we define a special subcomplex of the disk complex for one of the handlebodies of the splitting, and then show that it is contractible. As applications, first we show that the complex of Haken spheres for the splitting is contractible, which refines the results of Lei and Lei-Zhang. Secondly, we classify all the genus two Heegaard splittings for nonprime 3-manifolds, which is a generalization of the result of Montesinos-Safont. Finally, we show that the mapping class group of the splitting, called the Goeritz group, is finitely presented by giving its explicit presentation. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.title | Disk Complexes and Genus Two Heegaard Splittings for NonPrime 3-Manifolds | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cho, Sangbum | - |
dc.identifier.doi | 10.1093/imrn/rnu061 | - |
dc.identifier.scopusid | 2-s2.0-84941915817 | - |
dc.identifier.wosid | 000356705300024 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2015, no.12, pp.4344 - 4371 | - |
dc.relation.isPartOf | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.title | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.volume | 2015 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 4344 | - |
dc.citation.endPage | 4371 | - |
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 | HAKEN SPHERES | - |
dc.subject.keywordPlus | 3-SPHERE | - |
dc.subject.keywordPlus | PRESERVE | - |
dc.subject.keywordPlus | HOMEOMORPHISMS | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.