{
  "id": "1212.2222",
  "version": "v2",
  "published": "2012-12-10T21:12:31.000Z",
  "updated": "2013-07-26T17:53:25.000Z",
  "title": "Categorified invariants and the braid group",
  "authors": [
    "John A. Baldwin",
    "J. Elisenda Grigsby"
  ],
  "comment": "12 pages, 2 figures. Version 2 has a new, entirely combinatorial, proof that sutured annular Khovanov homology detects the trivial braid, involving a relationship between Plamenevskaya's invariant of transverse links and the Dehornoy order on the braid group",
  "categories": [
    "math.GT",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We investigate two \"categorified\" braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the braid group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-26T17:53:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "braid group",
      "categorified invariants",
      "braid conjugacy class invariants",
      "heegaard floer homology",
      "conjugacy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2222B"
    }
  }
}