Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor

Sayantan Khan; Caleb Partin; Rebecca R. Winarski

doi:10.2140/agt.2023.23.2823

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arXiv · 2107.04068

Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor

Sayantan Khan·Caleb Partin·Rebecca R. Winarski

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Abstract

We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorphism of a surface of genus $g$ with a fixed number of punctures is asymptotically on the order of $\frac{1}{g}$. Our result adapts the work of Yazdi to non-orientable surfaces. We include the details of Thurston's theory of fibered faces for non-orientable 3-manifolds.

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Sayantan Khan, Caleb Partin, Rebecca R. Winarski. 2021-07-08. Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor. https://doi.org/10.2140/agt.2023.23.2823

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