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The $${textit{SU}}(2)$$-character variety of the closed surface of genus 2 |
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| Authors: | Nan-Kuo Ho Lisa C. Jeffrey Khoa Dang Nguyen Eugene Z. Xia |
| Affiliation: | 1.Department of Mathematics,National Tsing Hua University,Hsinchu,Taiwan;2.National Center for Theoretical Sciences,Taipei,Taiwan;3.Department of Mathematics,University of Toronto,Toronto,Canada;4.Department of Mathematics,University of Michigan,Ann Arbor,USA;5.Department of Mathematics,National Cheng Kung University,Tainan,Taiwan |
| Abstract: | We study the symplectic geometry of the ({text {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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