WDVV solutions associated with the genus one holomorphic differential
Abstract
Consider the genus one Hurwitz space H1(n0,…,nm) of ramified covering of fixed degree with m+1 prescribed poles of order n0+1,…,nm+1, respectively. Based on a recent formula proved in 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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