{ "id": "math/0401237", "version": "v1", "published": "2004-01-19T16:36:44.000Z", "updated": "2004-01-19T16:36:44.000Z", "title": "Enumerative properties of generalized associahedra", "authors": [ "Frederic Chapoton" ], "comment": "15 pages", "categories": [ "math.CO" ], "abstract": "Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences. A precise enumerative relation with the lattices of generalized noncrossing partitions is conjectured and some evidence is given.", "revisions": [ { "version": "v1", "updated": "2004-01-19T16:36:44.000Z" } ], "analyses": { "subjects": [ "05E15", "06A07", "20F55" ], "keywords": [ "generalized associahedra", "enumerative properties", "cluster algebras", "spectral sequences", "precise enumerative relation" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......1237C" } } }