Haken spheres for genus two Heegaard splittings
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Sangbum | - |
dc.contributor.author | Koda, Yuya | - |
dc.date.accessioned | 2022-07-10T23:00:02Z | - |
dc.date.available | 2022-07-10T23:00:02Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-11 | - |
dc.identifier.issn | 0305-0041 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149033 | - |
dc.description.abstract | A manifold which admits a reducible genus-2 Heegaard splitting is one of the 3-sphere, S-2 x S-1, lens spaces or their connected sums. For each of those splittings, the complex of Haken spheres is defined. When the manifold is the 3-sphere, S-2 x S-1 or a connected sum whose summands are lens spaces or S-2 x S-1, the combinatorial structure of the complex has been studied by several authors. In particular, it was shown that those complexes are all contractible. In this work, we study the remaining cases, that is, when the manifolds are lens spaces. We give a precise description of each of the complexes for the genus-2 Heegaard splittings of lens spaces. A remarkable fact is that the complexes for most lens spaces are not contractible and even not connected. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.title | Haken spheres for genus two Heegaard splittings | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cho, Sangbum | - |
dc.identifier.doi | 10.1017/S0305004117000718 | - |
dc.identifier.scopusid | 2-s2.0-85032201456 | - |
dc.identifier.wosid | 000446178500011 | - |
dc.identifier.bibliographicCitation | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.165, no.3, pp.563 - 572 | - |
dc.relation.isPartOf | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | - |
dc.citation.title | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | - |
dc.citation.volume | 165 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 563 | - |
dc.citation.endPage | 572 | - |
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 | GOERITZ GROUPS | - |
dc.subject.keywordPlus | LENS SPACES | - |
dc.subject.keywordPlus | 3-SPHERE | - |
dc.subject.keywordPlus | PRESERVE | - |
dc.subject.keywordPlus | AUTOMORPHISMS | - |
dc.subject.keywordPlus | 3-MANIFOLDS | - |
dc.identifier.url | https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/haken-spheres-for-genus-two-heegaard-splittings/F8E51F876A90CFDFBB5CC4CB8A3702F4 | - |
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.