{
  "id": "1310.0760",
  "version": "v1",
  "published": "2013-10-02T16:46:18.000Z",
  "updated": "2013-10-02T16:46:18.000Z",
  "title": "Rank inequalities for the Heegaard Floer homology of Seifert homology spheres",
  "authors": [
    "Cagri Karakurt",
    "Tye Lidman"
  ],
  "comment": "29 pages, 1 figure, 1 table",
  "categories": [
    "math.GT"
  ],
  "abstract": "We establish three rank inequalities for the reduced flavor of Heegaard Floer homology of Seifert fibered integral homology spheres. Combining these inequalities with the known classifications of non-zero degree maps between Seifert fibered spaces, we prove that a map f from Y' to Y between Seifert homology spheres yields the inequality that |deg f| rank HFred(Y) is at most rank HFred(Y'). These inequalities are also applied in conjunction with an algorithm of Nemethi to give a method to solve the botany problem for the Heegaard Floer homology of these manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-02T16:46:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M27"
    ],
    "keywords": [
      "heegaard floer homology",
      "rank inequalities",
      "inequality",
      "seifert fibered integral homology spheres",
      "seifert homology spheres yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0760K"
    }
  }
}