{
  "id": "math/0104042",
  "version": "v1",
  "published": "2001-04-03T15:52:28.000Z",
  "updated": "2001-04-03T15:52:28.000Z",
  "title": "Homology cobordism and classical knot invariants",
  "authors": [
    "Christian Bohr",
    "Ronnie Lee"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we define and investigate Z/2-homology cobordism invariants of Z/2-homology 3-spheres which turn out to be related to classical invariants of knots. As an application we show that many lens spaces have infinite order in the Z/2-homology cobordism group and we prove a lower bound for the slice genus of a knot on which integral surgery yields a given Z/2-homology sphere. We also give some new examples of 3-manifolds which cannot be obtained by integral surgery on a knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-03T15:52:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R90"
    ],
    "keywords": [
      "classical knot invariants",
      "homology cobordism",
      "integral surgery yields",
      "slice genus",
      "cobordism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4042B"
    }
  }
}