Minimality of the action on the universal circle of uniform foliations
Resumen:
Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M .
| 2021 | |
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CSIC: 618. ANII: FCE_1_2017_1_135352 |
|
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3-manifold topology Foliations Group actions. |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34113 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522793257959424 |
|---|---|
| author | Fenley, Sergio |
| author2 | Potrie Altieri, Rafael |
| author2_role | author |
| author_facet | Fenley, Sergio Potrie Altieri, Rafael |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Fenley Sergio Potrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Fenley, Sergio Potrie Altieri, Rafael |
| dc.date.accessioned.none.fl_str_mv | 2022-10-12T12:19:01Z |
| dc.date.available.none.fl_str_mv | 2022-10-12T12:19:01Z |
| dc.date.issued.none.fl_str_mv | 2021 |
| dc.description.abstract.none.fl_txt_mv | Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M . |
| dc.description.sponsorship.none.fl_txt_mv | CSIC: 618. ANII: FCE_1_2017_1_135352 |
| dc.format.extent.es.fl_str_mv | 33 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Fenley, S y Potrie Altieri, R. "Minimality of the action on the universal circle of uniform foliations" [en línea]. Groups, geometry and dynamics, 2021, 15:1489-1521. 33 h. |
| dc.identifier.doi.none.fl_str_mv | 10.4171/GGD/637 |
| dc.identifier.issn.none.fl_str_mv | 1661-7215 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/34113 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | European Mathematical Society |
| dc.relation.ispartof.es.fl_str_mv | Groups, Geometry, and Dynamics, 2021, 15:1489-1521 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | 3-manifold topology Foliations Group actions. |
| dc.title.none.fl_str_mv | Minimality of the action on the universal circle of uniform foliations |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M . |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_1b2f34457de7b98cc841e267b44c98df |
| identifier_str_mv | Fenley, S y Potrie Altieri, R. "Minimality of the action on the universal circle of uniform foliations" [en línea]. Groups, geometry and dynamics, 2021, 15:1489-1521. 33 h. 1661-7215 10.4171/GGD/637 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/34113 |
| publishDate | 2021 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Fenley SergioPotrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2022-10-12T12:19:01Z2022-10-12T12:19:01Z2021Fenley, S y Potrie Altieri, R. "Minimality of the action on the universal circle of uniform foliations" [en línea]. Groups, geometry and dynamics, 2021, 15:1489-1521. 33 h.1661-7215https://hdl.handle.net/20.500.12008/3411310.4171/GGD/637Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M .Submitted by Egaña Florencia (florega@gmail.com) on 2022-09-14T18:15:14Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 3718521-10.4171-ggd-637-print.pdf: 393632 bytes, checksum: f30451b48184792a7f6ae6aa9915e814 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-10-11T18:28:08Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 3718521-10.4171-ggd-637-print.pdf: 393632 bytes, checksum: f30451b48184792a7f6ae6aa9915e814 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-10-12T12:19:01Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 3718521-10.4171-ggd-637-print.pdf: 393632 bytes, checksum: f30451b48184792a7f6ae6aa9915e814 (MD5) Previous issue date: 2021CSIC: 618.ANII: FCE_1_2017_1_13535233 happlication/pdfenengEuropean Mathematical SocietyGroups, Geometry, and Dynamics, 2021, 15:1489-1521Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)3-manifold topologyFoliationsGroup actions.Minimality of the action on the universal circle of uniform foliationsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFenley, SergioPotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/34113/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/34113/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-838616http://localhost:8080/xmlui/bitstream/20.500.12008/34113/3/license_text36c32e9c6da50e6d55578c16944ef7f6MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Minimality of the action on the universal circle of uniform foliations Fenley, Sergio 3-manifold topology Foliations Group actions. |
| status_str | publishedVersion |
| title | Minimality of the action on the universal circle of uniform foliations |
| title_full | Minimality of the action on the universal circle of uniform foliations |
| title_fullStr | Minimality of the action on the universal circle of uniform foliations |
| title_full_unstemmed | Minimality of the action on the universal circle of uniform foliations |
| title_short | Minimality of the action on the universal circle of uniform foliations |
| title_sort | Minimality of the action on the universal circle of uniform foliations |
| topic | 3-manifold topology Foliations Group actions. |
| url | https://hdl.handle.net/20.500.12008/34113 |
