Abstract

LOPEZ-LOPEZ, Jorge L.  and  VILLICANA-MOLINA, Yesenia. On cusps of hyperbolic once-punctured torus bundles over the circle. Rev.colomb.mat. [online]. 2022, vol.56, n.2, pp.157-178.  Epub Jan 04, 2024. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v56n2.108373.

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 Our discussion generalizes examples which were elaborated by H. Helling (unpublished) and F. Guéritaud.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

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