Moduli spaces of d-connections and difference Painleve equations
Algebraic Geometry
2007-06-21 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0411584,
title = {Moduli spaces of d-connections and difference Painleve equations},
author = {D. Arinkin and A. Borodin},
journal= {arXiv preprint arXiv:math/0411584},
year = {2007}
}
Comments
30 pages (LaTeX)