{
  "id": "math/9809148",
  "version": "v1",
  "published": "1998-09-25T13:47:29.000Z",
  "updated": "1998-09-25T13:47:29.000Z",
  "title": "Torsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links",
  "authors": [
    "Riccardo Benedetti",
    "Carlo Petronio"
  ],
  "comment": "30 pages, 19 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We extend Turaev's definition of torsion invariants of 3-dimensional manifolds equipped with non-singular vector fields, by allowing (suitable) tangency circles to the boundary, and manifolds with non-zero Euler characteristic. We show that these invariants apply in particular to (the exterior of) Legendrian links in contact 3-manifolds. Our approach uses a combinatorial encoding of vector fields, based on standard spines. In this paper we extend this encoding from closed manifolds to manifolds with boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-25T13:47:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57Q10",
      "57R25"
    ],
    "keywords": [
      "legendrian links",
      "torsion invariants",
      "boundary pattern",
      "non-zero euler characteristic",
      "non-singular vector fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9148B"
    }
  }
}