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arXiv · 2411.14015

On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system

Mohamad Alameddine
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Abstract

We consider isomonodromic deformations of connections with a simple pole on the torus, motivated by the elliptic version of the sixth Painlev\'e 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.

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Mohamad Alameddine. 2024-11-21. On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system. https://arxiv.org/abs/2411.14015

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