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arXiv · 2005.10122

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

Yousuke Ohyama·Jean-Pierre Ramis·Jacques Sauloy
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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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Yousuke Ohyama, Jean-Pierre Ramis, Jacques Sauloy. 2020-05-19. The space of monodromy data for the Jimbo-Sakai family of $q$-difference equations. https://arxiv.org/abs/2005.10122

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