Divergent extended geometrically finite representations of relatively hyperbolic groups are interpreted as restricted Anosov representations over flow spaces, shown stable under deformations, with a Galois covering example yielding non-homeomorphic boundary extension.
The B owditch boundary of ( G , H ) when G is hyperbolic
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Expository note that illustrates phenomena and conjectures on boundaries of hyperbolic groups via special cases of amalgams, while summarizing prior results by Bowditch, Haissinsky, Otal and Cashen.
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Notions of Anosov representation of relatively hyperbolic groups
Divergent extended geometrically finite representations of relatively hyperbolic groups are interpreted as restricted Anosov representations over flow spaces, shown stable under deformations, with a Galois covering example yielding non-homeomorphic boundary extension.
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Some groups with planar boundaries
Expository note that illustrates phenomena and conjectures on boundaries of hyperbolic groups via special cases of amalgams, while summarizing prior results by Bowditch, Haissinsky, Otal and Cashen.