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arXiv · 2402.00256

WDVV solutions associated with the genus one holomorphic differential

Chaabane Rejeb
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Abstract

Consider the genus one Hurwitz space $\mathcal{H}_1(n_0,\dots,n_m)$ of ramified covering of fixed degree with $m+1$ prescribed poles of order $n_0+1,\dots,n_m+1$, respectively. Based on a recent formula proved in \cite{Rejeb23}, we derive an explicit solution to the WDVV equations associated with the genus one Dubrovin-Hurwitz-Frobenius manifold structure induced by the normalized holomorphic differential. The obtained solution is written in terms of Bell polynomials, Eisenstein series as well as the Weierstrass functions.

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Chaabane Rejeb. 2024-02-01. WDVV solutions associated with the genus one holomorphic differential. https://arxiv.org/abs/2402.00256

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