{
  "id": "math/0405314",
  "version": "v2",
  "published": "2004-05-16T21:44:42.000Z",
  "updated": "2004-09-13T18:15:48.000Z",
  "title": "Heegaard Floer homology of certain mapping tori",
  "authors": [
    "Stanislav Jabuka",
    "Thomas Mark"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-31.abs.html",
  "journal": "Algebr. Geom. Topol. 4 (2004) 685-719",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We calculate the Heegaard Floer homologies$HF^+(M,s) for mapping tori M associated to certain surface diffeomorphisms, where s is any Spin^c structure on M whose first Chern class is non-torsion. Let gamma and delta be a pair of geometrically dual nonseparating curves on a genus g Riemann surface Sigma_g, and let sigma be a curve separating Sigma_g into components of genus 1 and g-1. Write t-gamma, t_delta, and t_sigma for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms t_gamma^m circ t_delta^n for m,n in Z and that of t_sigma^{+-1}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-09-13T18:15:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "53D40"
    ],
    "keywords": [
      "heegaard floer homology",
      "mapping tori",
      "first chern class",
      "geometrically dual nonseparating curves",
      "riemann surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5314J"
    }
  }
}