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Rigidity and geometricity for surface group actions on the circle

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abstract

We prove that rigid representations of the fundamental group of a surface into the group of oreintation-preserving homeomorphisms of the circle are geometric, thereby establishing a converse statement of a theorem by the first author.

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  • $C^0$ stability of boundary actions and inequivalent Anosov flows math.DS · 2019-09-05 · conditional · none · ref 39 · internal anchor

    Boundary actions of negatively curved manifold groups are C0-topologically stable, and the technique yields hyperbolic 3-manifolds with arbitrarily many topologically inequivalent Anosov flows.