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arXiv · 2504.05127

Transitivity of the pure Hurwitz classes of quadratic post-critically finite polynomials

Yvon Verberne·Rebecca R. Winarski
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Abstract

We prove that for two post-critically finite quadratic polynomials $f,g$, there is a mapping class $\phi$ of the sphere with finitely many marked points such that $f\phi$ and $g$ are pure Hurwitz equivalent.

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Yvon Verberne, Rebecca R. Winarski. 2025-04-07. Transitivity of the pure Hurwitz classes of quadratic post-critically finite polynomials. https://arxiv.org/abs/2504.05127

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