Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 조상범 | - |
dc.date.accessioned | 2017-03-07T00:33:56Z | - |
dc.date.available | 2017-03-07T00:33:56Z | - |
dc.date.issued | 2015-06 | - |
dc.identifier.citation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, NO 12, Page. 4344-4371 | en_US |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.issn | 1687-0247 | - |
dc.identifier.uri | https://academic.oup.com/imrn/article/2015/12/4344/675581/Disk-Complexes-and-Genus-Two-Heegaard-Splittings | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/25878 | - |
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. | en_US |
dc.description.sponsorship | This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2012006520) (to S.C.), by JSPS Postdoctoral Fellowships for Research Abroad (to Y.K.), and by the Grant-in-Aid for Young Scientists (B), JSPS KAKENHI Grant Number 26800028 (to Y.K.). | en_US |
dc.language.iso | en | en_US |
dc.publisher | OXFORD UNIV PRESS | en_US |
dc.subject | MAPPING CLASS-GROUPS | en_US |
dc.subject | HAKEN SPHERES | en_US |
dc.subject | LENS SPACES | en_US |
dc.subject | 3-SPHERE | en_US |
dc.subject | PRESERVE | en_US |
dc.subject | HOMEOMORPHISMS | en_US |
dc.subject | AUTOMORPHISMS | en_US |
dc.subject | HANDLEBODY | en_US |
dc.title | Disk Complexes and Genus Two Heegaard Splittings for NonPrime 3-Manifolds | en_US |
dc.type | Article | en_US |
dc.relation.no | 12 | - |
dc.identifier.doi | 10.1093/imrn/rnu061 | - |
dc.relation.page | 4344-4371 | - |
dc.relation.journal | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.contributor.googleauthor | Cho, Sangbum | - |
dc.contributor.googleauthor | Koda, Yuya | - |
dc.relation.code | 2015000773 | - |
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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