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Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. vol.56 no.2 Bogotá jul./dic. 2022 Epub 04-Ene-2024
https://doi.org/10.15446/recolma.v56n2.108373
Original articles
On cusps of hyperbolic once-punctured torus bundles over the circle
Acerca de cúspides de haces fibrados hiperbólicos sobre el círculo con fibra el toro con un agujero
1 Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México
2 Universidad Nacional Autónoma de México, Morelia, México
The geometry of certain canonical triangulation of once-punctured torus bundles over the circle is applied to the problem of computing their cusp tori. We are also concerned with the problem of finding the limit points of the set formed by such cusp tori, inside the moduli space of the torus. Our discussion generalizes examples which were elaborated by H. Helling (unpublished) and F. Guéritaud.
Keywords: Kleinian group; cusp torus
Se aplica la geometría de cierta triangulación canónica de haces sobre el círculo con fibra el toro con un agujero al problema de calcular sus toros cuspidales. También se ataca el problema de hallar los puntos límite del conjunto que forman tales toros cuspidales, dentro del espacio moduli de toros. Nuestro método generaliza ejemplos que fueron trabajados por H. Helling (sin publicar) y F. Guéritaud.
Palabras clave: Grupo Kleiniano; toro cuspidal
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Received: January 24, 2022; Accepted: November 11, 2022
This is an open-access article distributed under the terms of the Creative Commons Attribution License
