Título:
Topology of leaves for minimal laminations by hyperbolic surfaces
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Autor:
Álvarez, Sebastien
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
Brum, Joaquín
Martínez, Matilde
Potrie Altieri, Rafael
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Tipo de documento:
Preprint
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Palabras clave:
Geometric Topology
Dynamical Systems
Dynamical Systems
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Año de publicación:
2022
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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.
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Publicado también: Journal of Topology, 2022, 15(1):302 - 346.
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arXiv
EN:
Mathematics (Geometric Topology), arXiv:1906.10029, 2022, pp 1-43
Financiadores:
ANII: FCE_3_2018_1_148740
Citación:
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.
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Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 1906.10029.pdf | Preprint | 873.23 KB | Adobe PDF |