Symplectic coordinates on ${\mathrm{PSL}}_3(\mathbb{R})$-Hitchin components

Suhyoung Choi, Hongtaek Jung, Hong Chan Kim

Goldman parametrizes the ${\mathrm{PSL}}_3(\mathbb{R})$-Hitchin component of a closed oriented hyperbolic surface of genus $g$ by $16g-16$ parameters. Among them, $10g-10$ coordinate…