Hamiltonian representation of isomonodromic deformations of general rational connections on ${\mathfrak{gl}}_2(\mathbb{C})$

Olivier Marchal, Nicolas Orantin, Mohamad Alameddine

In this paper, we construct the Hamiltonian systems attached to generic ${\mathfrak{gl}}_2(\mathbb{C})$ meromorphic connections with an arbitrary number of unramified poles of arbitr…