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arXiv · 2603.11614

Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers

Xiang Li
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Abstract

In [14] we found the large genus asymptotics of Hurwitz numbers for the Riemann sphere with a fixed number of general profiles and some (2,1^{d-2}) profiles. In this paper, motivated from [3], we generalize these results to Hurwitz numbers of an arbitrary compact Riemann surface with a fixed number of general profiles and some (r,1^{d-r}) profiles.

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Xiang Li. 2026-03-12. Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers. https://arxiv.org/abs/2603.11614

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