Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata

Eriko Hironaka

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arXiv · 1403.2987

Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata

Eriko Hironaka

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Abstract

This note gives a brief survey of the minimum dilatation problem for pseudo-Anosov mapping classes, and the first explicit train track description of an infinite family of pseudo-Anosov mapping classes with orientable stable foliations and the conjectural minimum dilatation for closed surfaces of even genus $g \ge 2$.

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Eriko Hironaka. 2014-07-13. Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata. https://arxiv.org/abs/1403.2987

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