{ "id": "1412.2331", "version": "v1", "published": "2014-12-07T08:27:33.000Z", "updated": "2014-12-07T08:27:33.000Z", "title": "Center Of the Goldman algebra", "authors": [ "Arpan Kabiraj" ], "comment": "11 pages, 5 figures", "categories": [ "math.GT" ], "abstract": "We show that the center of the Goldman algebra associated to a closed oriented hyperbolic surface is trivial. For a hyperbolic surface of finite type with nonempty boundary, the center consists of closed curves which are homotopic to boundary component or puncture.", "revisions": [ { "version": "v1", "updated": "2014-12-07T08:27:33.000Z" } ], "analyses": { "keywords": [ "boundary component", "closed oriented hyperbolic surface", "finite type", "nonempty boundary", "center consists" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.2331K" } } }