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Moduli spaces of d-connections and difference Painleve equations

D. Arinkin·A. Borodin
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Abstract

We show that difference Painleve equations can be interpreted as isomorphisms of moduli spaces of d-connections on the projective line with given singularity structure. We also derive a new difference equation. It is the most general difference Painleve equation known so far, and it degenerates to both difference Painleve V and classical (differential) Painleve VI equations.

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D. Arinkin, A. Borodin. 2007-06-21. Moduli spaces of d-connections and difference Painleve equations. https://arxiv.org/abs/math/0411584

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