On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915029339602944 |
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| author | Alameddine, Mohamad |
| author_facet | Alameddine, Mohamad |
| contents | We consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlevé equation. We establish an extended symmetry, complementing known results. The Calogero-Moser system in its elliptic version is shown to fit nicely in the geometric framework, the extended symplectic two-form is introduced and shown to be closed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14015 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system Alameddine, Mohamad Mathematical Physics Symplectic Geometry Exactly Solvable and Integrable Systems We consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlevé equation. We establish an extended symmetry, complementing known results. The Calogero-Moser system in its elliptic version is shown to fit nicely in the geometric framework, the extended symplectic two-form is introduced and shown to be closed. |
| title | On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system |
| topic | Mathematical Physics Symplectic Geometry Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2411.14015 |