Topology of leaves for minimal laminations by hyperbolic surfaces

Álvarez, Sebastien - Brum, Joaquín - Martínez, Matilde - Potrie Altieri, Rafael

Resumen:

We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of the surfaces that appear. The laminations are constructed via towers of finite coverings of surfaces for which we need to develop a relative version of residual finiteness which may be of independent interest. The main step in establishing this relative version of residual finiteness is to obtain finite covers with control on the \emph{second systole} of the surface, which is done in the appendix. In a companion paper, the case of other generic leaves is treated.


Detalles Bibliográficos
2022
ANII: FCE_3_2018_1_148740
Geometric Topology
Dynamical Systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/35002
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Álvarez, Sebastien
author2 Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
author2_role author
author
author
author_facet Álvarez, Sebastien
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
author_role author
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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.
Martínez Matilde, Universidad de la República (Uruguay). Facultad de Ingeniería.
Potrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.
dc.creator.none.fl_str_mv Álvarez, Sebastien
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
dc.date.accessioned.none.fl_str_mv 2022-11-24T15:47:52Z
dc.date.available.none.fl_str_mv 2022-11-24T15:47:52Z
dc.date.issued.none.fl_str_mv 2022
dc.description.abstract.none.fl_txt_mv We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of the surfaces that appear. The laminations are constructed via towers of finite coverings of surfaces for which we need to develop a relative version of residual finiteness which may be of independent interest. The main step in establishing this relative version of residual finiteness is to obtain finite covers with control on the \emph{second systole} of the surface, which is done in the appendix. In a companion paper, the case of other generic leaves is treated.
dc.description.es.fl_txt_mv Publicado también: Journal of Topology, 2022, 15(1):302 - 346.
dc.description.sponsorship.none.fl_txt_mv ANII: FCE_3_2018_1_148740
dc.format.extent.es.fl_str_mv 43 h
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Álvarez, S, Brum, J, Martínez, M , [y otro autor] . "Topology of leaves for minimal laminations by hyperbolic surfaces" [Preprint]. Publicado en: Mathematics (Geometric Topology). 2022 arXiv:1906.10029, pp 1-43.
dc.identifier.doi.none.fl_str_mv 10.48550/arXiv.1906.10029
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/35002
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv arXiv
dc.relation.ispartof.es.fl_str_mv Mathematics (Geometric Topology), arXiv:1906.10029, 2022, pp 1-43
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 Geometric Topology
Dynamical Systems
dc.title.none.fl_str_mv Topology of leaves for minimal laminations by hyperbolic surfaces
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
dc.type.version.none.fl_str_mv info:eu-repo/semantics/submittedVersion
description Publicado también: Journal of Topology, 2022, 15(1):302 - 346.
eu_rights_str_mv openAccess
format preprint
id COLIBRI_be85e3237e468794913684c29bab95e5
identifier_str_mv Álvarez, S, Brum, J, Martínez, M , [y otro autor] . "Topology of leaves for minimal laminations by hyperbolic surfaces" [Preprint]. Publicado en: Mathematics (Geometric Topology). 2022 arXiv:1906.10029, pp 1-43.
10.48550/arXiv.1906.10029
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
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oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/35002
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 - No Comercial - Sin Derivadas (CC - By-NC-ND 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 Ingeniería.Martínez Matilde, Universidad de la República (Uruguay). Facultad de Ingeniería.Potrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2022-11-24T15:47:52Z2022-11-24T15:47:52Z2022Álvarez, S, Brum, J, Martínez, M , [y otro autor] . "Topology of leaves for minimal laminations by hyperbolic surfaces" [Preprint]. Publicado en: Mathematics (Geometric Topology). 2022 arXiv:1906.10029, pp 1-43.https://hdl.handle.net/20.500.12008/3500210.48550/arXiv.1906.10029Publicado también: Journal of Topology, 2022, 15(1):302 - 346.We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of the surfaces that appear. The laminations are constructed via towers of finite coverings of surfaces for which we need to develop a relative version of residual finiteness which may be of independent interest. The main step in establishing this relative version of residual finiteness is to obtain finite covers with control on the \emph{second systole} of the surface, which is done in the appendix. In a companion paper, the case of other generic leaves is treated.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-23T18:12:04Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1906.10029.pdf: 894190 bytes, checksum: 3c3263d7b7acdf2d4037006d570a86bd (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-24T11:59:49Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1906.10029.pdf: 894190 bytes, checksum: 3c3263d7b7acdf2d4037006d570a86bd (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-11-24T15:47:52Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1906.10029.pdf: 894190 bytes, checksum: 3c3263d7b7acdf2d4037006d570a86bd (MD5) Previous issue date: 2022ANII: FCE_3_2018_1_14874043 happlication/pdfenengarXivMathematics (Geometric Topology), arXiv:1906.10029, 2022, pp 1-43Las 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)Geometric TopologyDynamical SystemsTopology of leaves for minimal laminations by hyperbolic surfacesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaÁlvarez, SebastienBrum, JoaquínMartínez, MatildePotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/35002/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/35002/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse
spellingShingle Topology of leaves for minimal laminations by hyperbolic surfaces
Álvarez, Sebastien
Geometric Topology
Dynamical Systems
status_str submittedVersion
title Topology of leaves for minimal laminations by hyperbolic surfaces
title_full Topology of leaves for minimal laminations by hyperbolic surfaces
title_fullStr Topology of leaves for minimal laminations by hyperbolic surfaces
title_full_unstemmed Topology of leaves for minimal laminations by hyperbolic surfaces
title_short Topology of leaves for minimal laminations by hyperbolic surfaces
title_sort Topology of leaves for minimal laminations by hyperbolic surfaces
topic Geometric Topology
Dynamical Systems
url https://hdl.handle.net/20.500.12008/35002

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