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arXiv · 1711.01807

The SU(2)-character variety of the closed surface of genus 2

Nan-Kuo Ho·Lisa C. Jeffrey·Khoa Dang Nguyen·Eugene Z. Xia
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Abstract

We study the symplectic geometry of the SU(2)-representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of $\mathbb P^3(\mathbb C)$. We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

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Nan-Kuo Ho, Lisa C. Jeffrey, Khoa Dang Nguyen, Eugene Z. Xia. 2017-11-06. The SU(2)-character variety of the closed surface of genus 2. https://arxiv.org/abs/1711.01807

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