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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2402.00256 |
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| _version_ | 1866909172267745280 |
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| author | Rejeb, Chaabane |
| author_facet | Rejeb, Chaabane |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00256 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | WDVV solutions associated with the genus one holomorphic differential Rejeb, Chaabane Mathematical Physics 53D45, 35C05 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. |
| title | WDVV solutions associated with the genus one holomorphic differential |
| topic | Mathematical Physics 53D45, 35C05 |
| url | https://arxiv.org/abs/2402.00256 |