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arXiv · 2506.16879

Real polynomial Hurwitz numbers

Yanqiao Ding
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Abstract

We show that the signed counts of normalized real polynomials, as defined by Itenberg and Zvonkine, provide the signed counts of genus zero real ramified coverings of the Riemann sphere with a point of total ramification and several other branch points with arbitrary ramification profiles.

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Yanqiao Ding. 2025-06-20. Real polynomial Hurwitz numbers. https://arxiv.org/abs/2506.16879

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