Rigidity and geometricity for surface group actions on the circle

Kathryn Mann; Maxime Wolff

Rigidity and geometricity for surface group actions on the circle

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arxiv 1710.04902 v2 pith:UUFAB4CG submitted 2017-10-13 math.GT math.DS

Kathryn Mann , Maxime Wolff This is my paper · ORCID

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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 conditional novelty 8.0 of 10

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.

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