Fuchsian groups, circularly ordered groups and dense invariant laminations on the circle

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dc.contributor.authorBaik, Hyungryulko
dc.date.accessioned2017-03-28T06:58:42Z-
dc.date.available2017-03-28T06:58:42Z-
dc.date.created2017-03-09-
dc.date.created2017-03-09-
dc.date.created2017-03-09-
dc.date.issued2015-07-
dc.identifier.citationGEOMETRY & TOPOLOGY, v.19, no.4, pp.2081 - 2115-
dc.identifier.issn1465-3060-
dc.identifier.urihttp://hdl.handle.net/10203/221026-
dc.description.abstractWe 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.languageEnglish-
dc.publisherGEOMETRY & TOPOLOGY PUBLICATIONS-
dc.titleFuchsian groups, circularly ordered groups and dense invariant laminations on the circle-
dc.typeArticle-
dc.identifier.wosid000365636000005-
dc.identifier.scopusid2-s2.0-84939177296-
dc.type.rimsART-
dc.citation.volume19-
dc.citation.issue4-
dc.citation.beginningpage2081-
dc.citation.endingpage2115-
dc.citation.publicationnameGEOMETRY & TOPOLOGY-
dc.identifier.doi10.2140/gt.2015.19.2081-
dc.contributor.localauthorBaik, Hyungryul-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusCONVERGENCE GROUPS-
dc.subject.keywordPlus3-MANIFOLDS-
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