Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 조상범 | - |
dc.date.accessioned | 2019-08-05T07:31:43Z | - |
dc.date.available | 2019-08-05T07:31:43Z | - |
dc.date.issued | 2019-02 | - |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 371, NO 4, Page. 2473-2502 | en_US |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.issn | 1088-6850 | - |
dc.identifier.uri | http://www.ams.org/journals/tran/2019-371-04/S0002-9947-2018-07375-5/ | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/108253 | - |
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. | en_US |
dc.description.sponsorship | The first-named author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT, and Future Planning (NRF-2015R1A1A1A05001071), and by the Ministry of Education (NRF-201800000001768). The second author was supported by JSPS KAKENHI Grant Numbers 15H03620, 17K05254, 17H06463, and JST CREST Grant Number JPMJCR17J4. | en_US |
dc.language.iso | en | en_US |
dc.publisher | AMER MATHEMATICAL SOC | en_US |
dc.subject | GOERITZ GROUP | en_US |
dc.subject | AUTOMORPHISMS | en_US |
dc.subject | 3-SPHERE | en_US |
dc.subject | PRESERVE | en_US |
dc.title | THE MAPPING CLASS GROUPS OF REDUCIBLE HEEGAARD SPLITTINGS OF GENUS TWO | en_US |
dc.type | Article | en_US |
dc.relation.no | 4 | - |
dc.relation.volume | 371 | - |
dc.identifier.doi | 10.1090/tran/7375 | - |
dc.relation.page | 2473-2502 | - |
dc.relation.journal | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.contributor.googleauthor | Cho, Sangbum | - |
dc.contributor.googleauthor | Koda, Yuya | - |
dc.relation.code | 2019003072 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF EDUCATION[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS EDUCATION | - |
dc.identifier.pid | scho | - |
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