{
  "id": "1510.07141",
  "version": "v1",
  "published": "2015-10-24T12:59:58.000Z",
  "updated": "2015-10-24T12:59:58.000Z",
  "title": "A note on Grid Homology in lens spaces: $\\mathbb{Z}$ coefficients and computations",
  "authors": [
    "Daniele Celoria"
  ],
  "comment": "27 pages, 23 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present a combinatorial proof for the existence of the sign refined Grid Homology in lens spaces, and a self contained proof that $\\partial_\\mathbb{Z}^2 = 0$. We also present a Sage program that computes $\\widehat{GH} (L(p,q),K;\\mathbb{Z})$, and provide empirical evidence supporting the absence of torsion in these groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-24T12:59:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lens spaces",
      "coefficients",
      "computations",
      "sign refined grid homology",
      "combinatorial proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151007141C"
    }
  }
}