There are no periodic Wright maps

David Futer

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arXiv · 2509.05222

There are no periodic Wright maps

David Futer

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Abstract

This paper proves that every periodic automorphism of a closed hyperbolic surface S sends some curve to a nearly disjoint curve. In particular, periodic maps cannot have the property that every curve fills with its image, so no such map can give a positive answer to a question of Wright. This paper also answers a question of Schleimer about irreducible periodic surface maps.

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David Futer. 2025-09-05. There are no periodic Wright maps. https://arxiv.org/abs/2509.05222

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