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The $${\textit{SU}}(2)$$SU(2)-character variety of the closed surface of genus 2

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We study the symplectic geometry of the $${\text {SU}}(2)$$SU(2)-representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space… Click to show full abstract

We study the symplectic geometry of the $${\text {SU}}(2)$$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 $${\mathbb {P}}^3(\mathbb {C})$$P3(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

Keywords: variety; character variety; surface genus; textit character

Journal Title: Geometriae Dedicata
Year Published: 2018

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