On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifold
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866914146703900672 |
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| author | Liu, Si-Qi Rossi, Paolo Yang, Di Zhang, Youjin |
| author_facet | Liu, Si-Qi Rossi, Paolo Yang, Di Zhang, Youjin |
| contents | Given a semisimple Frobenius manifold, we construct a class of integrable deformations of its hierarchy of topological type. We show that these integrable deformations have polynomial tau-structures, and conjecture that for the one-dimensional Frobenius manifold they give a universal object for integrable deformations of the Riemann--Hopf hierarchy having a tau-structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifold Liu, Si-Qi Rossi, Paolo Yang, Di Zhang, Youjin Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems Given a semisimple Frobenius manifold, we construct a class of integrable deformations of its hierarchy of topological type. We show that these integrable deformations have polynomial tau-structures, and conjecture that for the one-dimensional Frobenius manifold they give a universal object for integrable deformations of the Riemann--Hopf hierarchy having a tau-structure. |
| title | On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifold |
| topic | Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2511.06984 |