{
  "id": "math/0311136",
  "version": "v1",
  "published": "2003-11-09T20:46:13.000Z",
  "updated": "2003-11-09T20:46:13.000Z",
  "title": "On the slice genus of links",
  "authors": [
    "Vincent Florens",
    "Patrick M. Gilmer"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-30.abs.html",
  "journal": "Algebr. Geom. Topol. 3 (2003) 905-920",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define Casson-Gordon sigma-invariants for links and give a lower bound of the slice genus of a link in terms of these invariants. We study as an example a family of two component links of genus h and show that their slice genus is h, whereas the Murasugi-Tristram inequality does not obstruct this link from bounding an annulus in the 4-ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-09T20:46:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "slice genus",
      "define casson-gordon sigma-invariants",
      "lower bound",
      "component links",
      "murasugi-tristram inequality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}