Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912385659305984 |
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| author | Ma, Shilin Wu, Chao-Zhong Zuo, Dafeng |
| author_facet | Ma, Shilin Wu, Chao-Zhong Zuo, Dafeng |
| contents | In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For such Frobenius manifolds, we obtain their principal hierarchies and show them to be extensions of the genus-zero Whitham hierarchies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08239 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies Ma, Shilin Wu, Chao-Zhong Zuo, Dafeng Mathematical Physics In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For such Frobenius manifolds, we obtain their principal hierarchies and show them to be extensions of the genus-zero Whitham hierarchies. |
| title | Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.08239 |