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math-ph2025
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…
math-ph2025
Joyce structures and poles of Painlevé equations
Tom Bridgeland, Fabrizio Del Monte
Joyce structures are a class of geometric structures that first arose in relation to Donaldson-Thomas theory. There is a special class of examples, called class , whose und…
math-ph2024
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…