{
  "id": "0809.0622",
  "version": "v1",
  "published": "2008-09-03T13:31:33.000Z",
  "updated": "2008-09-03T13:31:33.000Z",
  "title": "Two applications of twisted Floer homology",
  "authors": [
    "Yinghua Ai",
    "Yi Ni"
  ],
  "comment": "17 pages",
  "journal": "Int. Math. Res. Not. IMRN 2009, no. 19, 3726-3746",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given an irreducible closed 3--manifold $Y$, we show that its twisted Heegaard Floer homology determines whether $Y$ is a torus bundle over the circle. Another result we will prove is, if $K$ is a genus 1 null-homologous knot in an $L$--space, and the 0--surgery on $K$ is fibered, then $K$ itself is fibered. These two results are the missing cases of earlier results due to the second author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-03T13:31:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M27"
    ],
    "keywords": [
      "twisted floer homology",
      "twisted heegaard floer homology determines",
      "applications",
      "earlier results",
      "torus bundle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0622A"
    }
  }
}