{ "id": "math/0504552", "version": "v1", "published": "2005-04-27T16:56:38.000Z", "updated": "2005-04-27T16:56:38.000Z", "title": "Multiple logarithms, algebraic cycles and trees", "authors": [ "Herbert Gangl", "Alexander B. Goncharov", "Andrey Levin" ], "comment": "15 pages, 8 figures, accepted June 2004 for publication in the book \"Frontiers in Number Theory, Physics and Geometry\", Volume 2 (Cartier, Julia, Moussa, Vanhove, eds.)", "categories": [ "math.NT", "math.AG" ], "abstract": "This is a short exposition--mostly by way of the toy models ``double logarithm'' and ``triple logarithm''--which should serve as an introduction to a forthcoming article in which we establish a connection between multiple polylogarithms, polygons, trees and algebraic cycles.", "revisions": [ { "version": "v1", "updated": "2005-04-27T16:56:38.000Z" } ], "analyses": { "subjects": [ "14F42" ], "keywords": [ "algebraic cycles", "multiple logarithms", "toy models", "triple logarithm", "multiple polylogarithms" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......4552G" } } }