{ "id": "math/0405465", "version": "v1", "published": "2004-05-24T19:48:18.000Z", "updated": "2004-05-24T19:48:18.000Z", "title": "3-Manifolds, tangles and persistent invariants", "authors": [ "Jozef H. Przytycki", "Daniel S. Silver", "Susan G. Williams" ], "comment": "Plain TeX, 19 pages, 10 figures", "doi": "10.1017/S0305004105008753", "categories": [ "math.GT" ], "abstract": "New obstructions for embedding one compact oriented 3-manifold in another are given. A theorem of D. Krebes concerning 4-tangles embedded in links arises as a special case. Algebraic and skein-theoretic generalizations for 2n-tangles provide invariants that persist in the corresponding invariants of links in which they embed. An example is given of a virtual 4-tangle for which Krebes's theorem does not hold.", "revisions": [ { "version": "v1", "updated": "2004-05-24T19:48:18.000Z" } ], "analyses": { "subjects": [ "57M25", "11R06" ], "keywords": [ "persistent invariants", "krebess theorem", "links arises", "special case", "skein-theoretic generalizations" ], "tags": [ "journal article" ], "note": { "typesetting": "Plain TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }