Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus

Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko

We compute the monodromy dependence of the isomonodromic tau function on a torus with $n$ Fuchsian singularities and $SL(N)$ residue matrices by using its explicit Fredholm determi…