2004/11/30 by D. Arinkin, A. Borodin
Mathematics · Physics and Astronomy · #math.AG #math-ph #math.MP #msc:14D20 #msc:39A10
published as Duke Math. J., vol. 134 (2006) no. 3, 515-556 · 30 pages (LaTeX)
arxiv created 2007/06/21 · arxiv updated 2009/12/01
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.