16 citations · 51 across the 11 of their papers we have counts for
6 papers · 1 filter
Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants de…
Monodromies of Second Order -difference Equations from the WKB Approximation
Fabrizio Del Monte, Pietro Longhi
This paper studies the space of monodromy data of second order -difference equations through the framework of WKB analysis. We compute the connection matrices associated to the…
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 Fuchsian singularities and residue matrices by using its explicit Fredholm determi…
Generating function of monodromy symplectomorphism for Fuchsian systems and its WKB expansion
Marco Bertola, Fabrizio Del Monte, Dmitry Korotkin
We study the WKB expansion of system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy sy…
Fredholm Pfaffian -functions for orthogonal isospectral and isomonodromic systems
M. Bertola, F. Del Monte, J. Harnad
We extend the approach to -functions as Widom constants developed by Cafasso, Gavrylenko and Lisovyy to orthogonal loop group Drinfeld-Sokolov hierarchies and isomonodromic defo…
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 can be written in terms of a Fredholm determinant…