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math-ph2024
On the geometry of isomonodromic deformations on the torus and the elliptic Calogero-Moser system
Mohamad Alameddine
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 sy…
math-ph2024
Explicit Hamiltonian representations of meromorphic connections and duality from different perspectives: a case study
Mohamad Alameddine, Olivier Marchal
In this article, we present an explicit study of -deformed meromorphic connections in with an unramified irregular pole at infinity of order $r…