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arXiv 2017-11-06 2 views

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

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

Original · EN

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 P³(C). We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.

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