{ "id": "1407.5060", "version": "v2", "published": "2014-07-18T17:12:04.000Z", "updated": "2014-07-27T15:09:05.000Z", "title": "On cluster algebras from unpunctured surfaces with one marked point", "authors": [ "Ilke Canakci", "Kyungyong Lee", "Ralf Schiffler" ], "comment": "13 pages, 9 Figures, v2 references added", "categories": [ "math.RT", "math.CO", "math.RA" ], "abstract": "We extend the construction of canonical bases for cluster algebras from unpunctured surfaces to the case where the number of marked points is one, and we show that the cluster algebra is equal to the upper cluster algebra in this case.", "revisions": [ { "version": "v2", "updated": "2014-07-27T15:09:05.000Z" } ], "analyses": { "subjects": [ "13F60" ], "keywords": [ "unpunctured surfaces", "marked point", "upper cluster algebra", "construction" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.5060C" } } }