{
  "id": "math/0502292",
  "version": "v1",
  "published": "2005-02-14T16:50:29.000Z",
  "updated": "2005-02-14T16:50:29.000Z",
  "title": "Branched shadows and complex structures of 4-manifolds",
  "authors": [
    "Francesco Costantino"
  ],
  "comment": "24 pages, 9 figures",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We define and study branched shadows of 4-manifolds as a combination of branched spines of 3-manifolds and Turaev's shadows. We use these objects to combinatorially represent 4-manifolds equipped with $Spin^c$-structures and homotopy classes of almost complex structures. We then use branched shadows to study complex 4-manifolds and prove that each almost complex structure on a 4-handlebody is homotopic to a complex one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-14T16:50:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M20",
      "32C60"
    ],
    "keywords": [
      "complex structure",
      "study branched shadows",
      "turaevs shadows",
      "study complex",
      "homotopy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2292C"
    }
  }
}