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arXiv · 1909.10968

The mapping class group action on SU(3)-character varieties

William M. Goldman·Sean Lawton·Eugene Z. Xia
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Abstract

Let $\Sigma$ be a compact orientable surface of genus $g=1$ with $n=1$ boundary component. The mapping class group $\Gamma$ of $\Sigma$ acts on the SU(3)-character variety of $\Sigma$. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.

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William M. Goldman, Sean Lawton, Eugene Z. Xia. 2019-09-24. The mapping class group action on SU(3)-character varieties. https://doi.org/10.1017/etds.2020.50

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