Article contents
The mapping class group action on
$\mathsf{SU}(3)$-character varieties
Published online by Cambridge University Press: 15 June 2020
Abstract
Let $\unicode[STIX]{x1D6F4}$ be a compact orientable surface of genus
$g=1$ with
$n=1$ boundary component. The mapping class group
$\unicode[STIX]{x1D6E4}$ of
$\unicode[STIX]{x1D6F4}$ acts on the
$\mathsf{SU}(3)$-character variety of
$\unicode[STIX]{x1D6F4}$. We show that the action is ergodic with respect to the natural symplectic measure on the character variety.
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- Original Article
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © The Author(s) 2020. Published by Cambridge University Press
References
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