{ "id": "hep-th/9505027", "version": "v2", "published": "1995-05-04T20:10:29.000Z", "updated": "1995-05-05T10:38:10.000Z", "title": "Topological BF Theories in 3 and 4 Dimensions", "authors": [ "Aberto S. Cattaneo", "Paolo Cotta-Ramusino", "Juerg Froehlich", "Maurizio Martellini" ], "comment": "25 pages, latex, no figures. Transmission problems have been solved", "journal": "J.Math.Phys.36:6137-6160,1995", "doi": "10.1063/1.531238", "categories": [ "hep-th", "math.QA", "q-alg" ], "abstract": "In this paper we discuss topological BF theories in 3 and 4 dimensions. Observables are associated to ordinary knots and links (in 3 dimensions) and to 2-knots (in 4 dimensions). The vacuum expectation values of such observables give a wide range of invariants. Here we consider mainly the 3-dimensional case, where these invariants include Alexander polynomials, HOMFLY polynomials and Kontsevich integrals.", "revisions": [ { "version": "v2", "updated": "1995-05-05T10:38:10.000Z" } ], "analyses": { "keywords": [ "topological bf theories", "dimensions", "vacuum expectation values", "observables", "ordinary knots" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "J. Math. Phys." }, "note": { "typesetting": "LaTeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "inspire": 394777 } } }