{
  "id": "math/9903057",
  "version": "v1",
  "published": "1999-03-10T01:24:15.000Z",
  "updated": "1999-03-10T01:24:15.000Z",
  "title": "On knot invariants which are not of finite type",
  "authors": [
    "Theodore Stanford",
    "Rolland Trapp"
  ],
  "comment": "6 pages, no figures",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We observe that most known results of the form \"v is not a finite-type invariant\" follow from two basic theorems. Among those invariants which are not of finite type, we discuss examples which are \"ft-independent\" and examples which are not. We introduce (n,q)-finite invariants, which are generalizations of finite-type invariants based on Fox's (n,q) congruence classes of knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-03-10T01:24:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "finite type",
      "knot invariants",
      "finite-type invariant",
      "basic theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......3057S"
    }
  }
}