### Convex cocompact subgroups of mapping class groups.

Farb, Benson, Mosher, Lee (2002)

Geometry & Topology

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Farb, Benson, Mosher, Lee (2002)

Geometry & Topology

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Francis Bonahon (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Cyril Lecuire (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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The bending map of a hyperbolic $3$-manifold maps a convex cocompact hyperbolic metric on a $3$-manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.

Mahan Mj (2009-2010)

Séminaire de théorie spectrale et géométrie

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The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

Minsky, Yair N. (2000)

Geometry & Topology

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McCarthy, John D., Papadopoulos, Athanase (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

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Ivanov, Nikolai V. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Funar, Louis, Gadgil, Siddhartha (2001)

Algebraic & Geometric Topology

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