DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.date.accessioned | 2017-03-28T06:58:42Z | - |
dc.date.available | 2017-03-28T06:58:42Z | - |
dc.date.created | 2017-03-09 | - |
dc.date.created | 2017-03-09 | - |
dc.date.created | 2017-03-09 | - |
dc.date.issued | 2015-07 | - |
dc.identifier.citation | GEOMETRY & TOPOLOGY, v.19, no.4, pp.2081 - 2115 | - |
dc.identifier.issn | 1465-3060 | - |
dc.identifier.uri | http://hdl.handle.net/10203/221026 | - |
dc.description.abstract | We propose a program to study groups acting faithfully on S-1 in terms of numbers of pairwise transverse dense invariant laminations. We give some examples of groups that admit a small number of invariant laminations as an introduction to such groups. The main focus of the present paper is to characterize Fuchsian groups in this scheme. We prove a group acting on S-1 is conjugate to a Fuchsian group if and only if it admits three very full laminations with a variation on the transversality condition. Some partial results toward a similar characterization of hyperbolic 3-manifold groups that fiber over the circle have been obtained. This work was motivated by the universal circle theory for tautly foliated 3-manifolds developed by Thurston, Calegari and Dunfield. | - |
dc.language | English | - |
dc.publisher | GEOMETRY & TOPOLOGY PUBLICATIONS | - |
dc.title | Fuchsian groups, circularly ordered groups and dense invariant laminations on the circle | - |
dc.type | Article | - |
dc.identifier.wosid | 000365636000005 | - |
dc.identifier.scopusid | 2-s2.0-84939177296 | - |
dc.type.rims | ART | - |
dc.citation.volume | 19 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 2081 | - |
dc.citation.endingpage | 2115 | - |
dc.citation.publicationname | GEOMETRY & TOPOLOGY | - |
dc.identifier.doi | 10.2140/gt.2015.19.2081 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | CONVERGENCE GROUPS | - |
dc.subject.keywordPlus | 3-MANIFOLDS | - |
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