小拉伸因子刺破的非定向曲面的伪anosov同胚

Pub Date : 2023-09-07 DOI:10.2140/agt.2023.23.2823

Sayantan Khan, Caleb Partin, Rebecca R. Winarski

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引用次数: 1

摘要

证明了在不可定向的情况下，具有固定刺数的$g$属曲面的伪anosov同胚的最小拉伸因子渐近地在$\frac{1}{g}$的阶上。我们的结果使Yazdi的工作适应于非定向表面。我们包括瑟斯顿的非定向3流形的纤维面理论的细节。

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Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor

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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