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Is it true that every mapping class in $\mathrm{Mod}(\Sigma_3)$ commutes with some hyperelli...
Two questions.
First, let $\Sigma_3$ be the closed genus 3 surface and let $\rm Mod(\Sigma_3)$ be its mapping class group. Is it true that for any mapping class $g\in\rm Mod(\Sigma_3)$ there is some …