Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
Resumen:
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results in [arXiv:1906.10029] and [Comment. Math. Helv. 78 (2003), 845–864], completes the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously.
| 2022 | |
| ANII:FCE_3_2018_1_148740 | |
|
Hyperbolic surface laminations Topology of surfaces Coverings of graphs |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/35000 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
| _version_ | 1807522794666196992 |
|---|---|
| author | Álvarez, Sebastien |
| author2 | Brum, Joaquín |
| author2_role | author |
| author_facet | Álvarez, Sebastien Brum, Joaquín |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. Brum Joaquín, Universidad de la República (Uruguay). Facultad de Ingeniería |
| dc.creator.none.fl_str_mv | Álvarez, Sebastien Brum, Joaquín |
| dc.date.accessioned.none.fl_str_mv | 2022-11-24T15:47:08Z |
| dc.date.available.none.fl_str_mv | 2022-11-24T15:47:08Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results in [arXiv:1906.10029] and [Comment. Math. Helv. 78 (2003), 845–864], completes the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously. |
| dc.description.sponsorship.none.fl_txt_mv | ANII:FCE_3_2018_1_148740 |
| dc.format.extent.es.fl_str_mv | 45 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Álvarez, S y Brum, J. "Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces". Groups Geometry and Dynamics [en línea] 2022 16(1): 179–223. 45 h. |
| dc.identifier.doi.none.fl_str_mv | 10.4171/GGD/645 |
| dc.identifier.issn.none.fl_str_mv | 1661-7215 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/35000 |
| 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, 2022, 16(1): 179–223 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC - By 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 | Hyperbolic surface laminations Topology of surfaces Coverings of graphs |
| dc.title.none.fl_str_mv | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| 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 | We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results in [arXiv:1906.10029] and [Comment. Math. Helv. 78 (2003), 845–864], completes the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_4d669fbcb4492a178365613e2d7dd217 |
| identifier_str_mv | Álvarez, S y Brum, J. "Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces". Groups Geometry and Dynamics [en línea] 2022 16(1): 179–223. 45 h. 1661-7215 10.4171/GGD/645 |
| 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:20.500.12008/35000 |
| publishDate | 2022 |
| 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 (CC - By 4.0) |
| spelling | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.Brum Joaquín, Universidad de la República (Uruguay). Facultad de Ingeniería2022-11-24T15:47:08Z2022-11-24T15:47:08Z2022Álvarez, S y Brum, J. "Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces". Groups Geometry and Dynamics [en línea] 2022 16(1): 179–223. 45 h.1661-7215https://hdl.handle.net/20.500.12008/3500010.4171/GGD/645We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results in [arXiv:1906.10029] and [Comment. Math. Helv. 78 (2003), 845–864], completes the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-23T14:25:20Z No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.4171_GGD_645.pdf: 3982948 bytes, checksum: d2bb4dfc6ee2ab3215a55e70f025fdad (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-24T12:02:34Z (GMT) No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.4171_GGD_645.pdf: 3982948 bytes, checksum: d2bb4dfc6ee2ab3215a55e70f025fdad (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-11-24T15:47:08Z (GMT). No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.4171_GGD_645.pdf: 3982948 bytes, checksum: d2bb4dfc6ee2ab3215a55e70f025fdad (MD5) Previous issue date: 2022ANII:FCE_3_2018_1_14874045 happlication/pdfenengEuropean Mathematical SocietyGroups Geometry and Dynamics, 2022, 16(1): 179–223Las 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 (CC - By 4.0)Hyperbolic surface laminationsTopology of surfacesCoverings of graphsTopology of leaves for minimal laminations by non-simply-connected hyperbolic surfacesArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaÁlvarez, SebastienBrum, JoaquínLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/35000/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-844http://localhost:8080/xmlui/bitstream/20.500.12008/35000/2/license_urla0ebbeafb9d2ec7cbb19d7137ebc392cMD52license_textlicense_texttext/html; charset=utf-838395http://localhost:8080/xmlui/bitstream/20.500.12008/35000/3/license_textd606c60c5d78967c4ed7a729e5bb402fMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces Álvarez, Sebastien Hyperbolic surface laminations Topology of surfaces Coverings of graphs |
| status_str | publishedVersion |
| title | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| title_full | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| title_fullStr | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| title_full_unstemmed | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| title_short | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| title_sort | Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces |
| topic | Hyperbolic surface laminations Topology of surfaces Coverings of graphs |
| url | https://hdl.handle.net/20.500.12008/35000 |
