{
  "id": "1403.1153",
  "version": "v2",
  "published": "2014-03-05T15:11:25.000Z",
  "updated": "2014-09-10T19:44:54.000Z",
  "title": "On the slice genus and some concordance invariants of links",
  "authors": [
    "Alberto Cavallo"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce a new class of links for which we give a lower bound for the slice genus $g_*$, using the generalized Rasmussen invariant. We show that this bound, in some cases, allows one to compute $g_*$ exactly; in particular, we compute $g_*$ for torus links. We also study another link invariant: the strong slice genus $g_*^*$. Studying the behaviour of a specific type of cobordisms in Lee homology, a lower bound for $g_*^*$ is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-05T15:11:25.000Z",
      "abstract": "We introduce a new class of links for which we give a good lower bound for the slice genus $g_*$, using the generalized Rasmussen invariant. We also show that this bound, in some cases, allows us to compute $g_*$ exactly. We also study another link invariant: the strong slice genus $g_*^*$. Studying the behaviour of component-preserving cobordisms in Lee homology, a lower bound for $g_*^*$ is also given.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-10T19:44:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "concordance invariants",
      "lower bound",
      "strong slice genus",
      "generalized rasmussen invariant",
      "link invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.1153C"
    }
  }
}