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-Painlev\'e.

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