{ "id": "math/0006014", "version": "v2", "published": "2000-06-02T15:50:08.000Z", "updated": "2000-06-09T08:53:53.000Z", "title": "Vassiliev invariants for braids on surfaces", "authors": [ "Juan Gonzalez-Meneses", "Luis Paris" ], "comment": "22 pages, 9 figures", "categories": [ "math.GT", "math.GR" ], "abstract": "We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of the considered surface.", "revisions": [ { "version": "v2", "updated": "2000-06-09T08:53:53.000Z" } ], "analyses": { "subjects": [ "20F36", "57M27", "57N05" ], "keywords": [ "vassiliev invariants separate braids", "universal vassiliev invariant", "fundamental group", "chord diagrams", "closed oriented surface" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......6014G" } } }