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arXiv:math/0411584 [math.AG]AbstractReferencesReviewsResources

Moduli spaces of d-connections and difference Painleve equations

D. Arinkin, A. Borodin

Published 2004-11-25, updated 2007-06-21Version 2

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.

Comments: 30 pages (LaTeX)
Journal: Duke Math. J., vol. 134 (2006) no. 3, 515-556
Categories: math.AG, math-ph, math.MP
Subjects: 14D20, 39A10
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