Título:
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
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Autor:
Álvarez, Sebastien
Brum, Joaquín
Brum, Joaquín
Tutor:
Tipo de documento:
Artículo
Editor:
Palabras clave:
Hyperbolic surface laminations
Topology of surfaces
Coverings of graphs
Topology of surfaces
Coverings of graphs
Descriptores:
Año de publicación:
2022
Contenido:
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.
Descripción:
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Editorial:
European Mathematical Society
EN:
Groups Geometry and Dynamics, 2022, 16(1): 179–223
Financiadores:
ANII:FCE_3_2018_1_148740
Citación:
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.
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ISSN:
1661-7215
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Licencia:
Licencia Creative Commons Atribución (CC - By 4.0)
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 10.4171_GGD_645.pdf | — | 3.8 MB | Adobe PDF |