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arXiv · 2108.06930

On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution

Norihisa Takahashi·Hiraku Nozawa
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Abstract

Ishizaka classified up to conjugacy hyperelliptic periodic automorphisms of a surface. Here, an involution $I$ on a surface $Σ_{g}$ is hyperelliptic if and only if $Σ_{g}/\langle I \rangle$ is homeomorphic to $S^2$. In this article, we give a classification up to conjugacy for irreducible periodic automorphisms of a surface $Σ_{g}$ which commute with involutions $ι$ such that $Σ_{g}/\langle ι\rangle$ is homeomorphic to $T^{2}$.

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Norihisa Takahashi, Hiraku Nozawa. 2025-03-31. On a classification of irreducible periodic diffeomorphisms on surfaces which commute with certain involution. https://arxiv.org/abs/2108.06930

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