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

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.

18 pages, 2 figures, to appear in Geom. Dedicata