Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions

Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko

We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in $GL(N,\mathbb{C})$ can be written in terms of a Fredholm determinant…