{
  "id": "1208.0394",
  "version": "v1",
  "published": "2012-08-02T03:49:44.000Z",
  "updated": "2012-08-02T03:49:44.000Z",
  "title": "Heegaard Floer homology of (n,n)-torus links: computations and questions",
  "authors": [
    "Joan E. Licata"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this article we study the Heegaard Floer link homology of $(n, n)$-torus links. The Alexander multigradings which support non-trivial homology form a string of $n-1$ unit hypercubes in $\\mathbb{R}^{n}$, and we compute the ranks and gradings of the homology in nearly all Alexander gradings. We also conjecture a complete description of the link homology and provide some support for this conjecture. This article is taken from the author's 2007 Ph.D. thesis and contains several open questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-02T03:49:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R58"
    ],
    "keywords": [
      "heegaard floer homology",
      "heegaard floer link homology",
      "support non-trivial homology form",
      "computations",
      "unit hypercubes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0394L"
    }
  }
}