DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.contributor.author | Choi, Inhyeok | ko |
dc.contributor.author | Kim, Dongryul M. | ko |
dc.date.accessioned | 2022-12-22T03:00:41Z | - |
dc.date.available | 2022-12-22T03:00:41Z | - |
dc.date.created | 2022-12-21 | - |
dc.date.created | 2022-12-21 | - |
dc.date.created | 2022-12-21 | - |
dc.date.issued | 2022-12 | - |
dc.identifier.citation | TOPOLOGY AND ITS APPLICATIONS, v.322 | - |
dc.identifier.issn | 0166-8641 | - |
dc.identifier.uri | http://hdl.handle.net/10203/303480 | - |
dc.description.abstract | In this note, we study the symplectic representation of the mapping class group. In particular, we discuss the surjecivity of the representation restricted to certain mapping classes. It is well-known that the representation itself is surjective. In fact the representation is still surjective after restricting on pseudo-Anosov mapping classes. However, we show that the surjectivity does not hold when the representation is restricted on orientable pseudo-Anosovs, even after reducing its codomain to integer symplectic matrices with a bi-Perron leading eigenvalue. In order to prove the non-surjectivity, we explicitly construct an infinite family of symplectic matrices with a bi-Perron leading eigenvalue which cannot be obtained as the symplectic representation of an orientable pseudo-Anosov mapping class. © 2022 Elsevier B.V. | - |
dc.language | English | - |
dc.publisher | Elsevier B.V. | - |
dc.title | On the surjectivity of the symplectic representation of the mapping class group | - |
dc.type | Article | - |
dc.identifier.wosid | 000890658100007 | - |
dc.identifier.scopusid | 2-s2.0-85142903274 | - |
dc.type.rims | ART | - |
dc.citation.volume | 322 | - |
dc.citation.publicationname | TOPOLOGY AND ITS APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.topol.2022.108334 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.contributor.nonIdAuthor | Kim, Dongryul M. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Bi-Perron algebraic integer | - |
dc.subject.keywordAuthor | Mapping class group | - |
dc.subject.keywordAuthor | Orientable pseudo-Anosov mapping class | - |
dc.subject.keywordAuthor | Symplectic representation | - |
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