{
  "id": "1410.5342",
  "version": "v1",
  "published": "2014-10-20T16:25:03.000Z",
  "updated": "2014-10-20T16:25:03.000Z",
  "title": "Correction terms, $\\mathbb Z_2$--Thurston norm, and triangulations",
  "authors": [
    "Yi Ni",
    "Zhongtao Wu"
  ],
  "comment": "20 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the correction terms in Heegaard Floer homology give a lower bound to the the genus of one-sided Heegaard splittings and the $\\mathbb Z_2$--Thurston norm. Using a result of Jaco--Rubinstein--Tillmann, this gives a lower bound to the complexity of certain closed $3$--manifolds. As an application, we compute the $\\mathbb Z_2$--Thurston norm of the double branched cover of some closed 3--braids, and give upper and lower bounds for the complexity of these manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-20T16:25:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57Q15"
    ],
    "keywords": [
      "thurston norm",
      "correction terms",
      "lower bound",
      "triangulations",
      "heegaard floer homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.5342N"
    }
  }
}