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A characterization of Fuchsian actions by topological rigidity. (arXiv:1711.05665v1 [math.GT])
来源于:arXiv
We prove that any rigid representation of $\pi_1\Sigma_g$ in
$\mathrm{Homeo}_+(S^1)$ with Euler number at least $g$ is necessarily
semi-conjugate to a discrete, faithful representation into
$\mathrm{PSL}(2,\mathbb{R})$. Combined with earlier work of Matsumoto, this
precisely characterizes Fuchsian actions by a topological rigidity property.
Though independent, this work can be read as an introduction to the companion
paper {\em rigidity and geometricity for surface group actions on the circle},
by the same authors. 查看全文>>