{ "id": "0903.0683", "version": "v1", "published": "2009-03-04T03:35:12.000Z", "updated": "2009-03-04T03:35:12.000Z", "title": "Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space", "authors": [ "Martin J. Bridgeman" ], "comment": "21 pages, 2 figures", "categories": [ "math.GT", "math.MG" ], "abstract": "Given a measured lamination on a finite area hyperbolic surface we consider a natural measure Mon the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure M gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.", "revisions": [ { "version": "v1", "updated": "2009-03-04T03:35:12.000Z" } ], "analyses": { "subjects": [ "32G15" ], "keywords": [ "moduli space", "geodesic laminations", "dilogarithm identities", "orthospectra", "finite area hyperbolic surface" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.0683B" } } }