{ "id": "math/0204290", "version": "v1", "published": "2002-04-24T10:47:52.000Z", "updated": "2002-04-24T10:47:52.000Z", "title": "Quantum Relatives of Alexander Polynomial", "authors": [ "Oleg Viro" ], "comment": "72 pages", "categories": [ "math.GT", "math.QA" ], "abstract": "The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin-Turaev functors based on irreducible representations of quantized gl(1|1) and sl(2). The corresponding face state sum models for the generalized Conway function are presented.", "revisions": [ { "version": "v1", "updated": "2002-04-24T10:47:52.000Z" } ], "analyses": { "subjects": [ "57M27", "17B37" ], "keywords": [ "alexander polynomial", "quantum relatives", "framed trivalent graphs", "conway function", "corresponding face state sum models" ], "note": { "typesetting": "TeX", "pages": 72, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......4290V" } } }