Fredholm Pfaffian $\tau$-functions for orthogonal isospectral and isomonodromic systems

M. Bertola, F. Del Monte, J. Harnad

We extend the approach to $\tau$-functions as Widom constants developed by Cafasso, Gavrylenko and Lisovyy to orthogonal loop group Drinfeld-Sokolov hierarchies and isomonodromic defo…