The space of monodromy data for the Jimbo-Sakai family of $q$-difference equations

Abstract

We formulate a geometric Riemann-Hilbert correspondence that applies to the derivation by Jimbo and Sakai of equation $q$-PVI from ``isomonodromy'' conditions. This is a step within work in progress towards the application of $q$-isomonodromy and $q$-isoStokes to $q$-Painlevé.

123 pages

Cited by in corpus (1)

• On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem