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arXiv · 1702.00252

Convergence of quasi-Fuchsian groups using critical exponent

Olivier Glorieux
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Abstract

We prove that a sequence of quasi-Fuchsian representations for which the critical exponent converges to the topological dimension of the boundary of the group (larger than 2), converges up to subsequence and conjugacy to a totally geodesic representation.

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Olivier Glorieux. 2017-02-01. Convergence of quasi-Fuchsian groups using critical exponent. https://arxiv.org/abs/1702.00252

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