DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.contributor.author | Kim, Sang-hyun | ko |
dc.contributor.author | Koberda, Thomas | ko |
dc.date.accessioned | 2019-07-18T05:30:43Z | - |
dc.date.available | 2019-07-18T05:30:43Z | - |
dc.date.created | 2019-07-15 | - |
dc.date.created | 2019-07-15 | - |
dc.date.created | 2019-07-15 | - |
dc.date.issued | 2019-07 | - |
dc.identifier.citation | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.21, no.8, pp.2333 - 2353 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.uri | http://hdl.handle.net/10203/263286 | - |
dc.description.abstract | We show that no finite index subgroup of a sufficiently complicated mapping class group or braid group can act faithfully by C1+bv diffeomorphisms on the circle, which generalizes a result of Farb-Franks, and which parallels a result of Ghys and Burger-Monod concerning differentiable actions of higher rank lattices on the circle. This answers a question of Farb, which has its roots in the work of Nielsen. We prove this result by showing that if a right-angled Artin group acts faithfully by C1+bv diffeomorphisms on a compact one-manifold, then its defining graph has no subpath of length 3. As a corollary, we also show that no finite index subgroup of Aut(F-n) or Out(F-n) for n >= 3, of the Torelli group for genus at least 3, and of each term of the Johnson filtration for genus at least 5, can act faithfully by C1+bv diffeomorphisms on a compact one-manifold. | - |
dc.language | English | - |
dc.publisher | EUROPEAN MATHEMATICAL SOC | - |
dc.title | Unsmoothable group actions on compact one-manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000472733100003 | - |
dc.identifier.scopusid | 2-s2.0-85068609501 | - |
dc.type.rims | ART | - |
dc.citation.volume | 21 | - |
dc.citation.issue | 8 | - |
dc.citation.beginningpage | 2333 | - |
dc.citation.endingpage | 2353 | - |
dc.citation.publicationname | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.4171/JEMS/886 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.contributor.nonIdAuthor | Kim, Sang-hyun | - |
dc.contributor.nonIdAuthor | Koberda, Thomas | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Right-angled Artin group | - |
dc.subject.keywordAuthor | circle action | - |
dc.subject.keywordAuthor | mapping class group | - |
dc.subject.keywordAuthor | smooth group action | - |
dc.subject.keywordPlus | C-1 DIFFEOMORPHISMS | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordPlus | SUBGROUPS | - |
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