{
  "id": "math/0609607",
  "version": "v1",
  "published": "2006-09-21T14:22:07.000Z",
  "updated": "2006-09-21T14:22:07.000Z",
  "title": "Functors Extending the Kauffman Bracket",
  "authors": [
    "John Armstrong"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this article we extend evaluations of the Kauffman bracket on regular isotopy classes of knots and links to a variety of functors defined on the category of framed tangles. We show that many such functors exist, and that they correspond up to equivalence to bilinear forms on free, finitely-generated modules over commutative rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-21T14:22:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99"
    ],
    "keywords": [
      "kauffman bracket",
      "functors extending",
      "regular isotopy classes",
      "bilinear forms",
      "extend evaluations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9607A"
    }
  }
}