{ "id": "math/0406228", "version": "v2", "published": "2004-06-11T02:30:55.000Z", "updated": "2004-06-13T02:13:15.000Z", "title": "Spherical Tetrahedra and Invariants of 3-manifolds", "authors": [ "Yuka U. Taylor", "Christopher T. Woodward" ], "comment": "18 pages, 3 figures", "categories": [ "math.GT" ], "abstract": "Motivated by the Turaev-Viro invariant of 3-manifolds, we construct a formal topological invariant of closed, oriented 3-manifolds involving spherical tetrahedra as an application of the asymptotic formula of 6j symbols for the Quantum Enveloping Algebra of sl(2). This invariant can be considered as a spherical version of a formal invariant of Ponzano-Regge and Korepanov defined via Euclidean tetrahedra.", "revisions": [ { "version": "v2", "updated": "2004-06-13T02:13:15.000Z" } ], "analyses": { "subjects": [ "57M27" ], "keywords": [ "spherical tetrahedra", "turaev-viro invariant", "euclidean tetrahedra", "quantum enveloping algebra", "formal topological invariant" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......6228T" } } }