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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2507.06668 |
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| _version_ | 1866909681382850560 |
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| author | Alameddine, Mohamad |
| author_facet | Alameddine, Mohamad |
| contents | The aim of this article is to generalize the isomonodromic-isospectral correspondence for meromorphic connections of rank $2$ over $\mathbb{P}^1$ to the twisted case. More specifically, the construction of the isospectral approach is provided for the Painlevé I hierarchy, then two maps are constructed, one linking the sets of isomonodromic and isospectral Hamiltonians, another linking the set of apparent singularities to a set of isospectral coordinates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Twisted sl_2(C) Isomonodromic-Isospectral Correspondence Alameddine, Mohamad Mathematical Physics Differential Geometry Symplectic Geometry The aim of this article is to generalize the isomonodromic-isospectral correspondence for meromorphic connections of rank $2$ over $\mathbb{P}^1$ to the twisted case. More specifically, the construction of the isospectral approach is provided for the Painlevé I hierarchy, then two maps are constructed, one linking the sets of isomonodromic and isospectral Hamiltonians, another linking the set of apparent singularities to a set of isospectral coordinates. |
| title | A Twisted sl_2(C) Isomonodromic-Isospectral Correspondence |
| topic | Mathematical Physics Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2507.06668 |