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On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system (2411.14015v1)
Published 21 Nov 2024 in math-ph, math.MP, math.SG, and nlin.SI
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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