Stable specific torsion length and periodic mapping classes

Elizabeth Field; Yvon Verberne

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arXiv · 2107.14780

Stable specific torsion length and periodic mapping classes

Elizabeth Field·Yvon Verberne

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Abstract

We show that for any periodic mapping class, there is some power which maps a nonseparating, simple closed curve to a distinct, disjoint nonseparating curve. As an application of this result, we introduce the notion of stable specific torsion length of a group element and show that the stable specific torsion length of a Dehn twist is bounded above by six.

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Elizabeth Field, Yvon Verberne. 2021-07-30. Stable specific torsion length and periodic mapping classes. https://arxiv.org/abs/2107.14780

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