{
  "id": "1404.5642",
  "version": "v2",
  "published": "2014-04-22T20:46:02.000Z",
  "updated": "2015-07-27T22:21:29.000Z",
  "title": "Lie Ideal Enhancements of Counting Invariants",
  "authors": [
    "Gillian Roxanne Grindstaff",
    "Sam Nelson"
  ],
  "comment": "9 pages. Version 2 includes changes suggested by referee",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We define enhancements of the quandle counting invariant for knots and links with a finite labeling quandle Q embedded in the quandle of units of a Lie algebra \\mathfrak{a} using Lie ideals. We provide examples demonstrating that the enhancement is stronger than the associated unenhanced counting invariant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-22T20:46:02.000Z",
      "comment": "8 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-07-27T22:21:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "lie ideal enhancements",
      "define enhancements",
      "finite labeling quandle",
      "lie algebra",
      "quandle counting invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5642G"
    }
  }
}