On cusps of hyperbolic once-punctured torus bundles over the circle

• López-López, Jorge L. ^[1] ; Yesenia Villicaña-Molina ^[2]
  1. [1] Universidad Michoacana de San Nicolás de Hidalgo

     Universidad Michoacana de San Nicolás de Hidalgo

     México

     
  2. [2] Escuela Nacional de Estudios Superiores
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 56, Nº. 2, 2022, págs. 157-178
• Idioma: inglés
• DOI: 10.15446/recolma.v56n2.108373
• Títulos paralelos:
  • Acerca de cúspides de haces fibrados hiperbólicos sobre el círculo con fibra el toro con un agujero
• Enlaces
  • Texto completo
• Resumen
  • español

    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.

  • English

    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 Our discussion generalizes examples which were elaborated by H. Helling (unpublished) and F. Guéritaud.

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