{ "id": "math/0411584", "version": "v2", "published": "2004-11-25T20:49:03.000Z", "updated": "2007-06-21T01:37:50.000Z", "title": "Moduli spaces of d-connections and difference Painleve equations", "authors": [ "D. Arinkin", "A. Borodin" ], "comment": "30 pages (LaTeX)", "journal": "Duke Math. J., vol. 134 (2006) no. 3, 515-556", "categories": [ "math.AG", "math-ph", "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.", "revisions": [ { "version": "v2", "updated": "2007-06-21T01:37:50.000Z" } ], "analyses": { "subjects": [ "14D20", "39A10" ], "keywords": [ "moduli spaces", "d-connections", "general difference painleve equation", "painleve vi equations", "difference equation" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11584A" } } }