{ "id": "0704.3940", "version": "v2", "published": "2007-04-30T13:34:57.000Z", "updated": "2009-02-16T18:52:46.000Z", "title": "An obstruction to a knot being deform-spun via Alexander polynomials", "authors": [ "Ryan Budney", "Alexandra Mozgova" ], "comment": "6 Pages, 1 Figure. to appear in Proceedings of the AMS", "journal": "Proc. Amer. Math. Soc. 137 (2009), 3547-3552.", "categories": [ "math.GT" ], "abstract": "We show that if a co-dimension two knot is deform-spun from a lower-dimensional co-dimension 2 knot, there are constraints on the Alexander polynomials. In particular this shows, for all n, that not all co-dimension 2 knots in S^n are deform-spun from knots in S^{n-1}.", "revisions": [ { "version": "v2", "updated": "2009-02-16T18:52:46.000Z" } ], "analyses": { "subjects": [ "57R40" ], "keywords": [ "alexander polynomials", "deform-spun" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Proc. Amer. Math. Soc." }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.3940B" } } }