Isomonodromic Tau Functions on a Torus as Fredholm Determinants, and Charged Partitions

Abstract We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in $$GL(N,{\mathbb {C}})$$ G L ( N , C ) can be written in terms of a Fredholm determinant of Plemelj operators. We further show that the minor expansion of this Fredholm determinant ... View More