Topology of leaves for minimal laminations by hyperbolic surfaces

Alvarez, Sebastién - 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
Geometric Topology
Dynamical Systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/39067
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Alvarez, Sebastién
author2 Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
author2_role author
author
author
author_facet Alvarez, Sebastién
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
author_role author
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dc.contributor.filiacion.none.fl_str_mv Alvarez Sebastién, Universidad de la República (Uruguay). Facultad de Ciencias.
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.
dc.creator.none.fl_str_mv Alvarez, Sebastién
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
dc.date.accessioned.none.fl_str_mv 2023-08-07T17:33:10Z
dc.date.available.none.fl_str_mv 2023-08-07T17:33:10Z
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 en: Journal of Topology, 2022, 15(1): 302-346. DOI: 10.1112/topo.12222
Apéndice escrito por Maxime Wolff
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 Alvarez, S, Brum, J, Martínez, M [y otro autor] "Topology of leaves for minimal laminations by hyperbolic surfaces" arXiv [Preprint]. Publicado en: Mathematics (Geometric Topology), 2022, arXiv: 1906.10029, Feb 20192022. 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/20.500.12008/39067
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv arXiv
dc.relation.ispartof.es.fl_str_mv arXiv
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 en: Journal of Topology, 2022, 15(1): 302-346. DOI: 10.1112/topo.12222
eu_rights_str_mv openAccess
format preprint
id COLIBRI_09a672844f80ff434c66be5790f9a5ee
identifier_str_mv Alvarez, S, Brum, J, Martínez, M [y otro autor] "Topology of leaves for minimal laminations by hyperbolic surfaces" arXiv [Preprint]. Publicado en: Mathematics (Geometric Topology), 2022, arXiv: 1906.10029, Feb 20192022. pp. 1-43.
10.48550/arXiv.1906.10029
instacron_str Universidad de la República
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language eng
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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 Alvarez Sebastién, Universidad de la República (Uruguay). Facultad de Ciencias.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.2023-08-07T17:33:10Z2023-08-07T17:33:10Z2022Alvarez, S, Brum, J, Martínez, M [y otro autor] "Topology of leaves for minimal laminations by hyperbolic surfaces" arXiv [Preprint]. Publicado en: Mathematics (Geometric Topology), 2022, arXiv: 1906.10029, Feb 20192022. pp. 1-43.https://hdl.handle.net/20.500.12008/3906710.48550/arXiv.1906.10029Publicado también en: Journal of Topology, 2022, 15(1): 302-346. DOI: 10.1112/topo.12222Apéndice escrito por Maxime WolffWe 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 Egaña Florencia (florega@gmail.com) on 2023-08-07T15:34:06Z 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 2023-08-07T17:10:32Z (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 2023-08-07T17:33:10Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 1906.10029.pdf: 894190 bytes, checksum: 3c3263d7b7acdf2d4037006d570a86bd (MD5) Previous issue date: 202243 h.application/pdfenengarXivarXivLas 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 RepúblicaAlvarez, SebastiénBrum, JoaquínMartínez, MatildePotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/39067/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/39067/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse
spellingShingle Topology of leaves for minimal laminations by hyperbolic surfaces
Alvarez, Sebastién
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/20.500.12008/39067

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